Diagram & Picture

Problem 301

he aftësi 4 Njehsoni brinjët dhe këndet e panjohura të trekëndëshave të dhënë në figurë. Jepni të dyja zgjidhjet aty ku ka të tilla. a

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Problem 302

ت 11 V0+V_{0}+ big specr =? if V0fx cmV_{0} f \Rightarrow x \mathrm{~cm} the small sphite =288 cm3=288 \mathrm{~cm}^{3}  sphote 7776 cm3\frac{\text { sphote }}{7776 \mathrm{~cm}^{3}} بجووكهكة 288 بيّت 23328 cm323328 \mathrm{~cm}^{3} (د) 864 cm3864 \mathrm{~cm}^{3} (i) 2827 cm32827 \mathrm{~cm}^{3} ( ))

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Problem 303

Find the measure of FD\angle F D. mFIJ=m \angle F I J= \square

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Problem 304

Learn with an example \checkmark or Watch a video DEH\angle D E H is a right angle and EFDE\overline{E F} \cong \overline{D E}.
Which term describes EH\overline{E H} ? median angle bisector altitude perpendicular bisector Submit

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Problem 305

Look at the diagram.
Which term describes HF\overline{H F} altitude median angle bisector perpendicular bisector Submit

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Problem 306

WVX\angle W V X is a right angle.
Which term describes XV\overline{X V} ? perpendicular bisector median altitude angle bisector Submit Workit

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Problem 307

Look at the diagram.
Which term describes DB\overline{D B} ? altitude median perpendicular bisector angle bisector Submit

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Problem 308

QTST.\overline{Q T} \cong \overline{S T} .
Which term describes RT\overline{R T} ? angle bisector perpendicular bisector median altitude Submit

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Problem 309

20. Gaseous O2\mathrm{O}_{2} in equilibrium with O2\mathrm{O}_{2} dissolved in water at 283 K is depicted at the right. (a: 1 Mark) Which scene or scenes below (A, B or C) represents the system at 298 K ? \qquad (b: 1 Mark) Which scene or scenes below (A, B or C) represents the system when the pressure of O2\mathrm{O}_{2} has been increased by half?

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Problem 310

5. a,b,c,da, b, c, d birer dogal sayı olmak üzere ab=a2ba \sqrt{b}=\sqrt{a^{2} \cdot b} ve abcd=acbda \sqrt{b} \cdot c \sqrt{d}=a \cdot c \sqrt{b} \cdot d dir.
Aşaḡıda ōn yūzlerinde birer sayı yazılı olan mavi, kırmızı ve sarı kartlar verilmiştir.
San kartlardan iki tanesi seçilip, birindeki sayı mavi karttaki sayı ile diğerindeki sayı kırmızı karttaki sayı ile çarpılıyor. Daha sonra kalan dört sarı karttan ikisinde yazan sayılar çarpılıyor. Bu üç çarpımdan elde edilen sonuçlar x, 9 ve 10'dur. x sayısı 8 ile 9 arasında olduğuna göre, aşağıdakilerden hangisi x'i elde etmek için kullanılan kartlardan biridir? A) \square B) \square C) \square D) \square

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Problem 311

Kompute the forces in members, CH,CB\mathrm{CH}, \mathrm{CB} and CD .

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Problem 312

Kompute the forces in members, CH,CB\mathrm{CH}, \mathrm{CB} and CD .

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Problem 313

What must be true about segment MNM N ?

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Problem 314

A bag contains 13 yellow tokens and 7 green tokens. Two tokens are drawn from the bag without replacement. \qquad Probabtity win change on second dran Draw a tree diagram to represent this experiment.

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Problem 316

Which division problem is represented with this model? 17÷2\frac{1}{7} \div 2 16÷7\frac{1}{6} \div 7 16÷2\frac{1}{6} \div 2 12÷6\frac{1}{2} \div 6

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Problem 317

A company makes windscreen wipers. In this question, the rectangle PQRSP Q R S has a width of 180 cm and a height of 100 cm . MM is the midpoint of [PQ], NN is the midpoint of [SR], and ONMO \in N M. All lengths are given in cm . (a) In the diagram below, the line segment [AB][A B] shows a type of wiper blade. [AB][A B] rotates around the point OO, where OABO \in A B, until it reaches the position [AB]\left[A^{\prime} B^{\prime}\right]. The region that it cleans is ABBAA B B^{\prime} A^{\prime}, which is the sector OBBO B B^{\prime} with the sector OAAO A A^{\prime} removed. A,A,BA, A^{\prime}, B, and BB^{\prime} lie on the rectangle PQRSP Q R S, and NN lies on the arc\operatorname{arc} from BB to BB^{\prime}. The line segment [ RQR Q ] is extended 20 cm to TT, as shown. OTR\angle O T R is a right angle. (i) Show that OB=120 cm|O B|=120 \mathrm{~cm}. (ii) Hence, show that BOT=414|\angle B O T|=414^{\circ}, correct to 1 decimal place. (iii) Hence, work out the area of ABBAA B B^{\prime} A^{\prime}.
Remember that ABBAA B B^{\prime} A^{\prime} is the sector OBBO B B^{\prime} with the sector OAAO A A^{\prime} removed. Give vour answer correct to the nearest cm2\mathrm{cm}^{2}.

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Problem 318

Which figure has a greater area?

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Problem 319

21 +2 23 +0.5 = 23.5 Add on 2 to get to the whole number cl - Add on 0.5 to get to 23.5. = 2 ones + 5 tenths + 2 hundredths = 2.52 distance around a baseball is 2.52 centimeters greater than the distance around nis ball. mplete the bar model for n te a related addition equation. = 11.75 -9.30. 11.75 - 9.30 that n

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Problem 320

16. Using the figure to the right, solve for xx. 30 20 23 62
Clear All

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Problem 321

Steps:
1. Use the reflection rule to change x and y coordinates accordingly
2. Write a Prime after each corresponding image vertice Find new coordinates of a triangle with vertices A(-8,12) B(-4,-10) C(6.-16) after reflection across the line y= -x Steps:
1. Use the reflection rule to graph new vertice points
2. Write a Prime after each corresponding image vertice Reflection across y-axis Ay T S V Preimage Rule Image U I

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Problem 322

3. (4.1) Consider the following relation. 2x2y=3xy+2x+h1+2x+2\begin{array}{l} -2 x-2 y= 3 x-y \\ +2 x+h 1 \\ +2 x+2 \end{array}
Answer: f(x)=\quad f(x)= \qquad 5x-5 x
Step 2. Evaluate the function found in the previous step at x=1x=1. 5(1)1y51y\begin{array}{l} -5(1)-1 y \\ -5-1 y \end{array}
Answer: f(1)=\quad f(1)= \qquad Step 3. Determine the implied domain of the function found in the first step. Express your answer in interval notation.

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Problem 323

One layer of 1 -inch cubes is shown. If 9 layers are stacked, what is the volume of the right ectangular prism formed by the stack?

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Problem 324

Find the area of this triangle. Round to the nearest tenth.

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Problem 326

Choose the end behavior of the graph of each polynomial function.

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Problem 327

Find the coordinates of point DD in each diagram: a. b.

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Problem 328

Decompose the image into triangles and quadrilaterals.
Find the area of the composite figure.

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Problem 329

 o|e్1 A| \begin{array}{l} \text { o|e్1 A| } \end{array} \begin{array}{l} \Rightarrow \end{array} \square\square \square \square \square \square \square 0 0 \vdots \vdots Δ\Delta

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Problem 330

1. Is the following a regular polygon or an irregular polygon?

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Problem 331

In many games, rolling doubles has beneficial results. Three people are playing a board game in which two dice are rolled. a) Use a tree diagram to illustrate the probability distribution of the number of doubles in three rolls of two dice. b) Calculate the probability of each outcome in the sample space. c) What is the expected number of doubles in the three rolls?

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Problem 332

What is the surface area of the cone? SA=πrs+πr2S A=\pi r s+\pi r^{2}
Surface Area:

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Problem 333

In the figures below EFGHJK\triangle E F G \sim \triangle H J K, and EX and HY are medians.
2. What is the length of HY?

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Problem 334

3. Given FGFJ\overline{F G} \cong \overline{F J} and FHFK\overline{F H} \cong \overline{F K}.
Which rule explains why these triangles are congruent?

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Problem 335

4. ABC\triangle A B C and DEF\triangle D E F are shown below. The mA=51m \angle A=51^{\circ} and mF=39m \angle F=39^{\circ}.
Which of the following statements is true?
The triangles are similar because all angles are congruent and the sides are proportional.
The triangles are not similar because all angles are not congruent and the sides are not proportional.
The triangles are not similar because all angles are not proportional and the sides are not congruent.
The triangles are similar because all angles are proportional and the sides are congruent. Clear All Unanswered Previous 1 2 3 13 \square 5 6 7 8 9 10 Next Review \& Submit

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Problem 336

The map of North America below shows the position of the polar front jet stream on January 7, 2014, and the location of Atlanta, Georgia.\text{The map of North America below shows the position of the polar front jet stream on January 7, 2014, and the location of Atlanta, Georgia.} Which type of air mass was most likely located over Atlanta, Georgia?\text{Which type of air mass was most likely located over Atlanta, Georgia?} \begin{enumerate} \item mT \item mP \item cT \item cP \end{enumerate}

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Problem 337

4.)
Given: 4\angle 4 and 7\angle 7 are supplementary Prove: jkj \| k \begin{tabular}{|l|l|} \hline \multicolumn{1}{|c|}{ Stafements } & \multicolumn{1}{c|}{ Reasons } \\ \hline 1. & 1. Given \\ \hline 2.42 . \angle 4 and 3\angle 3 are supplementary & 2. \\ \hline 3.373 . \angle 3 \cong \angle 7 & 3. \\ \hline 4. & 4. \\ \hline \end{tabular}

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Problem 338

8. 1,56,0-1,-\frac{5}{6}, 0 ><\longrightarrow>\quad< \qquad

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Problem 339

6.)
Given: cd,17c \| d, \angle 1 \cong \angle 7 Prove: aba \| b \begin{tabular}{|l|l|} \hline \multicolumn{1}{|c|}{ Statements } & \multicolumn{1}{|c|}{ Reasons } \\ \hline 1. & 1. Given \\ \hline 2. & 2. Given \\ \hline 3.313 . \angle 3 \cong \angle 1 & 3. \\ \hline 4.374 . \angle 3 \cong \angle 7 & 4. \\ \hline 5.ab5 . a \| b & 5. \\ \hline \end{tabular}

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Problem 340

Where is the blue dot on the number line? \square

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Problem 341

What is the perimeter of the trapezoid? \square units

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Problem 342

Sulue fie fillowing equations tors 2x5= ar 2x5=12x=6 ar 2x=4z=3 ar x=2\begin{array}{rrr} 2 x-5=- & \text { ar } & 2 x-5=-1 \\ 2 x=6 & \text { ar } & 2 x=4 \\ z=3 & \text { ar } & x=2 \end{array}
Thice integess ar simplifed tactions) What ss the rext sten?
1. Euature 2x5>12 x-5 \mid>1 fir the zalues found in the previcus step

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Problem 343

Refer to the figure to determine which is a true statement for the given information. 1FG1 \overline{F G} is an altitude. A DGF\angle D G F is a right angle. B DF=EFD F=E F C DG=GED G=G E D DFGEFG\angle D F G \cong \angle E F G 2FG2 \overline{F G} is a median. F DGF\angle D G F is a right angle. G DF=EFD F=E F H DG=GED G=G E J DFGEFG\angle D F G \cong \angle E F G 3 If RU\overline{R U} is an altitude for RST\triangle R S T, find xx.

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Problem 344

Q2. The stereochemistry of the product for the given reaction is? A. cisisomers B. diastereomer C. racemic mixture D. meso Br2CH2Cl2\mathrm{Br}_{2} \mathrm{CH}_{2} \mathrm{Cl}_{2} E. transisomers

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Problem 345

a true
5 If line pp is a perpendicular bisector for ABC\triangle A B C, what are two conclusions you can draw.

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Problem 346

ERROR ANALYSIS Describe the error in finding m1m \angle 1. The sum of 360360^{\circ} and 154154^{\circ} should be 514514^{\circ}. The sum of the measures of the angles should be 180180^{\circ}. The sum of 115115^{\circ} and 3939^{\circ} should be 144144^{\circ}. The sum of the measures of the angles should be 9090^{\circ}. Correct the error in finding m1\mathrm{m} \angle 1. 115+39+m1=115^{\circ}+39^{\circ}+m \angle 1= \square \square +m1=+m \angle 1= \square m1=m \angle 1= \square : 514514^{\circ} 360360^{\circ} 216216^{\circ} 206 180180^{\circ} 154154^{\circ} 144144^{\circ} 9090^{\circ} 6464^{\circ} 3636^{\circ} 2626^{\circ}

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Problem 347

48÷..=648 \div \ldots .-.=6

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Problem 348

In an acute triangle, the orthocenter will be located '

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Problem 349

40. Solve right FUN\triangle F U N where mF=52\mathrm{m} \angle F=52^{\circ} and f=10\mathrm{f}=10.

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Problem 350

One rectangle is "framed" within another. Find the area the shaded region if the "frame" is 1 unit wide.

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Problem 351

Syplan itow mav mow

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Problem 352

7. Write and solve an equation for the model shown below.
Equation: \qquad Solution: \qquad

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Problem 353

Ronnie 23651016010305\begin{array}{ccccc} 2 & 3 & -6 & -5 & 10 \\ 1 & 6 & 0 & -10 \\ \hline 3 & 0 & -5 & \end{array}

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Problem 354

16. A pen manufacturer gets its pen cartridges from 2 suppliers. 58%58 \% of the cartridges come from supplier A and 2.25%2.25 \% of them are defective. 42%42 \% of the cartridges come from supplier B and 1.75%1.75 \% of them are defective. Answer the following questions: (a) Draw a tree diagram representing the problem. (b) Find the probability that a cartridge is defective and from supplier A. (c) Find the probability that a randomly chosen cartridge is not defective.

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Problem 355

Find the measure of angle CC.
The measure of angle CC is \square

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Problem 356

b+3e=f2\frac{b+3}{e} = \frac{f}{2} solve for ee

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Problem 357

Find the surface area for each part of Rocco's face. Be sure to label your answers.
Formulas
Rocco's eyes: \qquad occo's ears: \qquad occo's mouth: \qquad
2. Rocco's eyebrows: \qquad A (base 1+2ae2)\left.1+2 a e_{2}\right) C

Bonus - Only the grey area of Rocco's face:
6. Rocco's entire face: \qquad
4. Rocco's nose: \qquad (D)

05 mm 3 cm 令 A=2×wA=2 \times w \qquad 13 cm
4 - \qquad \qquad \qquad

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Problem 358

Given: SS is the midpoint of QT\overline{Q T} and QRTU\overline{Q R} \| \overline{T U}. Prove: QSRTSU\triangle Q S R \cong \triangle T S U Use the word bank provided to complete the proof. \begin{tabular}{|c|c|} \hline Statements & Reasons \\ \hline QSRTSU\triangle Q S R \cong \triangle T S U & Given \\ \hline QRTU\overline{Q R} \| \overline{T U} & atematru unterior angles \\ \hline QS=SIQ S=S I & Definition of Midpoint \\ \hline QT\angle Q \cong \angle T & \\ \hline & Vertical Angles Theorem \\ \hline \end{tabular}

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Problem 359

Find the magnitude of the resultant force and the angle it makes with the positive xx-axis. (Round your answers to one decimal place.) magnitude \square Ib angle \square (1)
Need Help? Read It Submit Answer

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Problem 360

5
Fill in the Blank 1 point Add the correct number (coefficient) in front of each element/compound to balance the following equation: type your answer... type your answer... O2\mathrm{O}_{2} \rightarrow \square type your answer... MgO \square
Previous

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Problem 361

1) If F2=350 NF 2=350 \mathrm{~N} and F3=400 NF 3=400 \mathrm{~N}
Find the x and y components of all three forces. Show them with F1x,F2x\mathrm{F} 1 \mathrm{x}, \mathrm{F} 2 \mathrm{x}, F1y, F2y, F3x, F3y

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Problem 362

8. Find the value of the hypotenuse 60.2560.25
9. Find the value of the angle BB (in the lower ri

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Problem 363

Given: LPON\overline{L P} \| \overline{O N} and LO\overline{L O} bisects PN\overline{P N} at point MM Prove: MLPMON\triangle M L P \cong \triangle M O N \begin{tabular}{|l|l|} \hline Statements & Reasons \\ \hline & \\ \hline \end{tabular}

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Problem 364

9. Given PRSCFH\triangle P R S \cong \triangle C F H, find the values of x,yx, y, and zz.

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Problem 365

6 Multiple Cholce 1 point Two points, JJ and SS, have been plotted on the coordinate plane.
What is the exact distance between the points JJ and SS ? 9 289\sqrt{289} 369\sqrt{369} 27

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Problem 366

Given: LPON\overline{L P} \| \overline{O N} and LO\overline{L O} bisects PN\overline{P N} at point MM Prove: MLPMON\triangle M L P \cong \triangle M O N

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Problem 367

Due Thursday 11/14/2411 / 14 / 24
1. Find the volume of a solid with the given base and cross sections. The base is a semicircley =25x2=\sqrt{25-x^{2}} and the cross sections perpendicular to the yy-axis are triangles of equal base and height. (You must draw a picture.)

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Problem 368

DESIGNING A NEW SCHOOL Your city is getting a new 10000 m210000 \mathrm{~m}^{2} school. It is going to be built on a lot (200 m×130 m)(200 \mathrm{~m} \times 130 \mathrm{~m}). Besides the school, there will also be an all-weather soccer field ( 100 m×75 m100 \mathrm{~m} \times 75 \mathrm{~m} ), two tennis courts (each 15 mx 27.5 m ), and a 30 car parking lot on the grounds.
The following requirements must be met: - all fields, courts, buildings, and parking lots must be no closer than 10 m to any of the property lines. - any leftover property will be used as green space - grass, trees, shrubs. - good use of green space is an important part of making the school grounds attractive.
To help you with your design and layout you have been provided with a scaled map of the propert (every square is 10 m×10 m10 \mathrm{~m} \times 10 \mathrm{~m} ). Present your final design on a copy of this map. Describe all decisions made on a separate piece paper. Label all structures and shade the green space.

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Problem 369

Find the value of X in each pair of similar figures.\text{Find the value of } X \text{ in each pair of similar figures.} Given:\text{Given:} S=15 in, R=20, and T=XS = 15 \text{ in, } R = 20, \text{ and } T = X N=L=20 in, M=12 inN = L = 20 \text{ in, } M = 12 \text{ in} Assume the figures are similar and use the proportions to solve for X.\text{Assume the figures are similar and use the proportions to solve for } X.

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Problem 370

Abba grew 1 foot over the past year. He is now 5 feet tall. Part A Draw a tape diagram to compare Abba's previous height to the amount he grew over the past year.

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Problem 371

Write a division sentence for each.
2. 18612/126/66\begin{array}{r}18 \\ -\frac{6}{12}\end{array} / \begin{array}{c}12 \\ -6\end{array} / \begin{array}{c}6 \\ -6\end{array}
3. 1022826/62\begin{array}{r}10 \\ -2 \\ -2\end{array}{ }^{8}-\frac{2}{6} /{ }^{6}-2
4. 164121248/84)440\left.\begin{array}{c}16 \\ -\frac{4}{12}\end{array} \wedge^{12}-\frac{4}{8} / \begin{array}{c}8 \\ -4\end{array}\right)^{4}-\frac{-4}{0}

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Problem 373

Polygon ABGHA B G H \cong Polygon CDEF Find the value of xx.

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Problem 375

Draw on the place value chart to divide. Then complete the equation. Problem 1 has been started for you.
1. 63÷3=63 \div 3= \qquad
2. 36÷2=36 \div 2= \qquad

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Problem 377

m Chapel Hill High What Desmos I Graph ×\times circle centre (0,h×(0, h \times Equation of a Ci×\mathrm{Ci} \times circle 105/assignments/10930/0 80\%
Search Help I Tova Ohlich (12543739) L Logout Gradebook * External Remaining Time: 02:34:10
The figure above shows a circle of radius r=3r=3 inscribed in the parabola y=5x2y=5 x^{2} Find the yy-coordinate of the center of the circle. (The xx-coordinate of the center is zero.) Submit Assignment Quit \& Save

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Problem 378

Question Watch Video Show Examples
Given the two rectangles below. Find the area of the shaded region. Answer Attempt 1 out of 2 Search

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Problem 380

1 2 3 4
Give a pair of corresponding angles, a pair of alternate exterior angles, and a pair of alternate interior angles. (a) Corresponding angles: 1\angle 1 and 5\angle 5 (b) Alternate exterior angles: 1\angle 1 and 7\angle 7 (c) Alternate interior angles: \quad \angle \rrbracket ]i] and \angle

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Problem 382

(0. 0) t produce recumgle aterto. What is Ene permerer in unitu ct recungle A BCD7

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Problem 383

x510x11=0x^{5} - 10x - 11 = 0
25501251,36\frac{25-501}{25-1,-36}
1) 5,362) 3) 4) \begin{array}{l} \text{1) } 5,-36 \\ \text{2) } \\ \text{3) } \\ \text{4) } \end{array}
5)
b)
7)
8)
(9)
8 (1)
(1)

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Problem 384

θ=5O\theta=5 \mathrm{O} \odot radians b) Find the coordinates of point W\mathbf{W} at time tt seconds. x=cos(5t)y=sin(5t)\begin{array}{l} x=\cos (5 t) \\ y=\sin (5 t) \end{array} c) Find the yy-coordinate of P\mathbf{P} at time tt seconds. (The x\boldsymbol{x}-coordinate of P\mathbf{P} is always zero.) y=sin(5t)+49(cos(5t))2y=\sin (5 t)+\sqrt{49-(\cos (5 t))^{2}} d) Find the velocity of P\mathbf{P} at time t\boldsymbol{t} seconds. v(t)=v(t)= aba^{b} ab\frac{a}{b} a\sqrt{a} a|a| π\pi sin(a)\sin (a)

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Problem 385

One rectangle is "framed" within another. Find the area of the shaded region if the "frame" is 2 units wide.

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Problem 386

Whose method is correct and why? Lisa's method is correct because 2(x2)2(x-2) equals 2x22 x-2. Lisa's method is correct because 2(x2)2(x-2) equals 2x2 x. Jaleel is correct because 2(x2)2(x-2) equals 2x22 x-2 Jaleel is correct because 2(x2)2(x-2) equals 2x42 x-4. Mark this and return Save and Exit Nest Submit

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Problem 387

1. Given: parallelogram FLSH, diagonal FGAS, LGFS,HAFS\overline{L G} \perp \overline{F S}, \overline{H A} \perp \overline{F S} Prove: LGSHAF\triangle L G S \equiv \triangle H A F

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Problem 388

\begin{tabular}{l} Identifying The Domain, Range and Horizontal Intercepts of a Quadratic Function \\ \hline For each of the following quadratic functions: \\
1. Determine the Domain of the Function \\
2. Determine the Range of the Function \\
3. Use the Intersect Feature and your graphing calculator to determine the Horizontal Intercepts, if \\ any. Round your answers to one decimal places as needed \\ [Hint: If two Horizontal Intercepts exist, enter them as (x1,y1)\left(x_{1}, y_{1}\right), ( (x2,y2)\left(x_{2}, y_{2}\right). If only one exists, enter \\ ( x1,y1)\left.x_{1}, y_{1}\right). If none exist, enter DNE] \\ \hline \end{tabular}

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Problem 389

Divide. Enter your answer as a fraction in simplest form. 15+1115\frac{1}{5}+\frac{11}{15}
The solution is

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Problem 390

To choose the order of bands for the finals of a Battle of the Bands competition, Freddy puts a penny, a nickel, a dime, a quarter, and a half-dollar into five separate envelopes and has one band choose an envelope. The second band then chooses from the remaining envelopes. Draw a tree diagram to determine the sample space and find the probabilities for the selections of the two bands in the finals. Express probabilities as simplified fractions.
Part: 0/60 / 6 \square Part 1 of 6 (a) The sample space contains \square outcomes.

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Problem 391

To choose the order of bands for the finals of a Battle of the Bands competition, Freddy puts a penny, a nickel, a dime, a quarter, and a half-dollar into five separate envelopes and has one band choose an envelope. The second band then chooses from the remaining envelopes. Draw a tree diagram to determine the sample space and find the probabilities for the selections of the two bands in the finals. Express probabilities as simplified fractions.
Part 1 of 6 (a) The sample space contains 20 outcomes.
Part 2 of 6 (b) Find the probability that the amount of the first coin is more than the amount of the second coin.
The probability that the amount of the first coin is more than the amount of the second coin is 12\frac{1}{2}.
Part: 2/62 / 6
Part 3 of 6 (c) Find the probability that neither coin is a nickel.
The probability that neither coin is a nickel is \square

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Problem 392

In the figure, ABCFDE\triangle A B C \cong \triangle F D E. Find the value of xx and YY.
Not all choices will be used.

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Problem 393

Given BD,ABED\angle \mathrm{B} \cong \angle \mathrm{D}, \overline{A B} \cong \overline{E D} Prove ABCEDC\triangle A B C \cong \triangle E D C \begin{tabular}{c|l} Statements & \multicolumn{1}{c}{ Reasons } \\ \hline 1. BD,ABED\angle \mathrm{B} \cong \angle \mathrm{D}, \overline{A B} \cong \overline{E D} & 1. Given \\
2. ACBECD\angle \mathrm{ACB} \cong \angle \mathrm{ECD} & 2\mathbf{2} \\
3. ABCEDC\triangle A B C \cong \triangle E D C & 3. \end{tabular}

Given EFHG,HEFG\overline{E F}||\overline{H G}, \overline{H E}|| \overline{F G} Prove HEFFGH\triangle H E F \cong \triangle F G H F{ }^{F}
How can you prove that ABCADC\triangle A B C \cong \triangle A D C ? \begin{tabular}{l|l} \multicolumn{1}{c|}{ Statements } & \multicolumn{1}{c}{ Reasons } \\ \hline 1. EFIIG,HEFG\overline{\mathrm{EF}}\|\mathrm{IIG}, \overline{\mathrm{HE}}\| \overline{\mathrm{FG}} & 1. Given \\
2. HFFH\overline{H F} \cong \overline{F H} & 2\mathbf{2}. \\
3. EFHGHF\angle \mathrm{EFH} \cong \angle \mathrm{GHF}, & 3\mathbf{3}. \\ EHFGFH\angle \mathrm{EHF} \cong \angle \mathrm{GFH} & 4.\mathbf{4 .} \end{tabular} \begin{tabular}{l|l} \multicolumn{2}{c|}{ Statements } \\
1. & \multicolumn{1}{c}{ Reasons } \\ \hline 2. & 1. \\
3. & 2. \\
3. & \end{tabular} 3.

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Problem 394

Note: Triangle may not be drawn to scale. Suppose C=5\mathrm{C}=5 and A=35\mathrm{A}=35 degrees. Find: a=b=B= degrees \begin{array}{l} a=\square \\ b=\square \\ B=\square \text { degrees } \end{array}
Give all answers to at least one decimal place. Give angles in degrees

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Problem 395

Use the given information to prove that ECDBCA\triangle E C D \cong \triangle B C A.
Given: DA\overline{D A} bisects EB\overline{E B} Send To Proof EBED\overline{E B} \perp \overline{E D} Send To Proof EBBA\overline{E B} \perp \overline{B A} Send To Proof
Prove: ECDBCA\triangle E C D \cong \triangle B C A Send To Proof

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Problem 396

Given BD,ABED\angle \mathrm{B} \cong \angle \mathrm{D}, \overline{A B} \cong \overline{E D} Prove ABCEDC\triangle A B C \cong \triangle E D C \begin{tabular}{c|l} Statements & \multicolumn{1}{c}{ Reasons } \\ \hline 1. BD,ABED\angle \mathrm{B} \cong \angle \mathrm{D}, \overline{A B} \cong \overline{E D} & 1. Given \\
2. ACBECD\angle \mathrm{ACB} \cong \angle \mathrm{ECD} & 2\mathbf{2} \\
3. ABCEDC\triangle A B C \cong \triangle E D C & 3. \end{tabular}

Given EFHG,HEFG\overline{E F}||\overline{H G}, \overline{H E}|| \overline{F G} Prove HEFFGH\triangle H E F \cong \triangle F G H F{ }^{F}
How can you prove that ABCADC\triangle A B C \cong \triangle A D C ? \begin{tabular}{l|l} \multicolumn{1}{c|}{ Statements } & \multicolumn{1}{c}{ Reasons } \\ \hline 1. EFIIG,HEFG\overline{\mathrm{EF}}\|\mathrm{IIG}, \overline{\mathrm{HE}}\| \overline{\mathrm{FG}} & 1. Given \\
2. HFFH\overline{H F} \cong \overline{F H} & 2\mathbf{2}. \\
3. EFHGHF\angle \mathrm{EFH} \cong \angle \mathrm{GHF}, & 3\mathbf{3}. \\ EHFGFH\angle \mathrm{EHF} \cong \angle \mathrm{GFH} & 4.\mathbf{4 .} \end{tabular} \begin{tabular}{l|l} \multicolumn{2}{c|}{ Statements } \\
1. & \multicolumn{1}{c}{ Reasons } \\ \hline 2. & 1. \\
3. & 2. \\
3. & \end{tabular} 3.

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Problem 397

Knowledge Check Question 10
Bulld a Venn diagram. - Use the names of the sets to label the reglons. - Place the numbers in the correct reglons. \begin{tabular}{|l|l|} \hline Names of the sets \\ Integers \\ Rational numbers \\ Whole numbers \\ Numbers \end{tabular}

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Problem 398

A large room has tiles laid out in a regular pattern as below. \begin{tabular}{|l|l|l|l|l|l|l|l|} \hline & & & & & & & \\ \hline & & & & & & & \\ \hline & 2m2 m & & & & & & \\ \hline & & 2m2 m & & & & & \\ \hline & & & & & & & \\ \hline & & & & & & & \\ \hline & & & & & & & \\ \hline \end{tabular}
If each of these tiles is 2 m×2 m2 \mathrm{~m} \times 2 \mathrm{~m}, how far is it (in a straight line) between the two marked points?
Distance == \square m.

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Problem 399

Find the surface area of the cone below. Leave your answer in terms of π\pi. SASA=[?]πcm2\frac{S A}{S A=[?] \pi \mathrm{cm}^{2}}

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Problem 400

Find the volume of this cylinder. Round to the nearest tenth. Submit

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