Consider the line with the equation: y=x+10
Give the equation of the line parallel to Line 1 which passes through (8,6) :
□
Give the equation of the line perpendicular to Line 1 which passes through (8,6) :
□
30 points possible
Answered: 20/30
Question 25 Find the area and perimeter of the figure shown below. Note, all angles are right angles.
area =□ square units
perimeter =□ units Question Help: □ Video
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Exercice 8 :
1) Annoter le schéma suivant
2) Au de la synthèse de l'eau on mélange 60cm3 de dioxygène et de dihydrogène. Après passage d'une étincelle électrique il reste 15cm3 de dioxygène dans l'eudiomètre
a) Quel est le volume de gaz disparu ?
b) Quel est le volume dioxygène disparu?
c) Quel est le volume dihydrogène disparu? Exercice 9:
Une salle de théâtre à la forme d'un cône dont le diamètre est de 10 m et de hauteur 7 m
1) Calcule le volume d'air dans la salle de théâtre ( V=πr2h )
2) Calcule les volumes des gaz majoritaires dans cette salle (le volume de dioxygène et diazote)
Which sequence of transformations produces an image that is not congruent to the original figure?
A. A translation of 6 units to the left followed by a reflection across the x-axis
B. A reflection across the x-axis followed by a rotation of 180∘ counterclockwise
C. A rotation of 90∘ clockwise followed by a translation of 4 units to the left
D. A translation of 4 units to the left followed by a dilation of a factor of 3
Parallelogram ABCD has vertex coordinates A(0,1),B(1,3),C(4,3), and D(3, 1). It is translated 2 units to the right and 3 units down and then rotated 180∘ clockwise around the origin. What are the coordinates of A ?
A. (−2,2)
B. (−4,−3)
C. (−3,−4)
D. (5,2)
Question 15 of 40
What are the center and radius of the circle defined by the equation x2+y2−6x+10y+25=0 ?
A. Center (−3,5); radius 9
B. Center (3,−5); radius 3
C. Center (3,−5); radius 9
D. Center (−3,5); radius 3
SUBMIT
Joaquin is constructing the perpendicular bisector of AB. What should be his first step? A
B
A. Open his compass so that the distance from the two points of the compass is less than half the length of AB.
B. Open his compass so that the distance from the two points of the compass is half the length of AB.
C. Open his compass so that the distance from the two points of the compass is wider than half the length of AB.
D. Open his compass so that the distance from the two points of the compass is one quarter the length of AB.
What is the missing justification in the proof of the angle bisector construction?
\begin{tabular}{|c|c|}
\hline Statement & Tevitheation \\
\hline BM is congruent to BBN. & The segments were drawn by the sume compass sutting. \\
\hline MP is congruent to NP. & The segments were drawn by the same compass setting. \\
\hline BP is congruent to 8P. & Reflexive Property \\
\hline △BMP is congruent to △BNP. & ssS Conoruence \\
\hline ∠MBP is congruent to ∠NBP. & \\
\hline BP bisects AABC. & AMBP and ∠NBP are conoruent and adjacent. \\
\hline
\end{tabular}
A. SSS Congruence
B. SAS Congruence
c. CPCTC
D. ASA Congruence
submat
Mariko makes a slice through a three-dimensional object perpendicular to the base. The cross-section is a rectangle. What three-dimensional shapes might Mariko have cut?
A. Cylinder
B. Rectangular prism
C. Square pyramid
D. Cone
Negative marking: 25
A coin of radius 5 cm is randomly dropped on a square floor full of square shaped tiles of side 20 cm each. What is the probability that the coin will land completely with in a tile? In other words the coin should not cross the edge of any tile.
Josefina is inscribing a square in a circle with center c. What should be her first step?
A. Place the point of your compass on the center of the circle.
B. Open your compass to a width more than half of the diameter of the circle.
C. Use a straight edge to draw a diameter of the circle through the center.
D. Place the point of your compass on the circumference of the circle and mark off equal distances.
SUbMIT
Peaches come in large and small cylindrical cans. The larger can has a radius and height that are both four times longer than the radius and height of the smaller can. If the volume of the smaller can is 32.16in3, what is the volume of the larger can?
A. 128.64in3
B. 257.28in3
C. 385.92in3
D. 2058.24in3
SUBMIT
ection 1
Question 14, 6.1.58
Part 1 of 3
HW Score: 92.86\% Points: 0 of 1 The figure shows a cable car that carries passengers from A to C . Point A is 1.3 miles from the base of the mountain. The angles of elevation from A and B to the mountain's peak are 21∘ and 64∘, respectively.
a. Determine, to the nearest tenth of a foot, the distance covered by the cable car.
b. Find a, to the nearest tenth of a foot, in oblique triangle ABC.
c. Use the right triangle to find the height of the mountain to the nearest tenth of a foot.
The lever ABC(L=0.85m) is pin-supported at A and connected to a short link BD ( H=0.16m,S=0.47m ) as shown in the figure. If the weight of the members is negligible, and the force F=2.7kN is applied at the handle of the lever, determine ONLY the magnitude of the reaction at B.
Date:
Geometry Pd:
1
3A
6
7 Score:
Exit Ticket 2.1.1 - Circle Parts
Version B Jse the diagram to identify one of each part of the circle. 1. [2 points] Radius 2. [2 points] Chord that is not the diameter 3. [2 points] Secant 4. [2 points] Tangent 5. [2 point] Point of Tangency 6. [2 points] Minor Arc 7. [2 points] Central Angle 8. [2 points] Inscribed Angle
[4 points] If GJ is constructed in the diagram above, would ∠GJK be a central or inscribed angle? Explain your reasoning.
Plot the points on the coordinate plane to sketch the line that passes through them. Compute the slope m that passes through the given points.
(3,4) and (3,−1) Use the graphing tool on the right to graph the equation. Click to enlarge graph Find the slope of the line. Select the correct choice below and fill in any answer boxes within your choice.
A. m=□
(Simplify your answer. Type an integer or a fraction.)
B. The slope is undefined.
The electric motor exerts a 500 N -m-torque on the aluminum shaft ABCD when it is rotating at a constant speed. Knowing that G=27GPa and that the torques exerted on pulleys B and C are as shown, determine the angle of twist between (a)B and C, (b) B and D.
[at Line g has a slope of 5437. Line h is parallel to line g. What is the slope of line h ?
(8) Simplify your answer and write it as a proper fraction, improper fraction, or integer.
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There is 4165 ml of water in the container below. The container is a triangular prism.
Work out the depth of the water in this container. Give your answer in centimetres (cm), and give any decimal answers to 1d.p.
(Hint: 1ml=1cm3 )
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Under a dilation, the point (−3,−4) is moved to (−15,−20).
What is the scale factor of the dilation?
Enter your answer in the box.
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12
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The sun is 25∘ above the horizon. Find the length of a shadow cast by a building that is 100 feet tall (see figure). (Round your answer to two decimal places.)
□ ft
Using a ruler and a pair of compabses, construct a right-angled triangle with a base of 6 cm and a hypotenuse of 11 cm . You must show all of your construction lines. Measure the angle opposite the base to the nearest degree.
Un panalelogramo esta conformado por dos vertices conserutiver " a y b ", el vertice A es = (2,0,0) el véntice b=(0,2,0).' E centro del paralelogamo is M=(2,2,2)
Hallar: a) El perimetro del paralelogramo
b) El area de uno de sus trianigulos
c) El volumen del panabelepipedo
cuya altura es el vector z=(2,2,4)
A metal warehouse, whose dimensions are shown below, needs paint. The front and back of the warehouse each have 2 rollup doors measuring 26 ft by 29 ft each. The side of the warehouse facing the parking lot has an entry door measuring 45 in by 80 in. The other side of the warehouse has no window or door. Use the given information to answer the questions. Each tab shows a different view of the warehouse.
(a) Assuming the roof and doors require no paint, what is the area in square feet that needs paint? (Do not round any intermediate computations and give your answer as a whole number.)
(1) ft2
(b) The paint to be used is sold in cans. Each can contains enough paint to cover 520ft2. Assume there is no paint yet and partial cans cannot be bought. How many cans will need to be bought in order to paint the warehouse?
□ cans
Front-right view
Back-left view
(c) What is the total cost of the paint needed for the warehouse if each can costs \$39.50?
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opening of each.
8) x=y2+12y+30
A) Vertex: (5,5) Focus: (5,419)
Axis of Sym.: x=5
Opens: Down
B) Vertex: (−6,−6) Focus: (−423,−6)
Axis of Sym: y=−6
Opens: Right
C) Vertex: (−6,−6) Focus: (−6,−423)
Axis of Sym: :=−6
Opens: Up
D) Verte: (−6,−6) Focus: (−6,−425)
Axis of Sym: x=−6
Opens: Down
Figure A′B′C′D′ is a dilation of Figure ABCD about Point E with a scale factor of 1.25 .
Li says the figures are neither similar nor congruent.
Is Li correct? Use the drop-down menus to explain your answer. Click the arrows to choose an answer from each menu.
LI choose..
□ correct. Edch side length of A′B′C′D′ is Choose.. □ the corresponding slde length of ABCD. Each angle measure of A′B′C′D′ is choose... □ the corresponding angle measure of ABCD. Therefore, A′B′C′D′ and ABCD are choose...
Zain draws a circle with radius r and center (h,k) in the coordinate plane. He places the point (x,y) on the circle.
How can Zain use his drawing to derive the general equation of a circle in standard form? Use the drop-down menus to explain your answer. Click the arrows to choose an answer from each menu.
Using any center point (h,k) and any point on the circle (x,y), zain can draw a right triangle that has a hypotenuse of length r land legs of lengths Choose... * Then, Zain can derive the general equation of a circle in standard form by applying the Choose...
=24
12) Vertices: (6,14),(6,−10)
2. Foci: (6,15),(6,−11)
A) 144(y−2)2−25(x−6)2=1
B) 144(y−2)2−25(x+6)2=14=25 c) 25(y+2)2−144(x−6)2=1
D) 25(y−2)2−144(x−6)2=1
ACT Problem 9. In the figure below, line / is parallel to line m. Transversals t and u intersect at point A on I and intersect m at points C and B, respectively. Point X is on m, the measure of ∠ACX is 130∘, and the measure of ∠BAC is 80∘. How many of the angles formed by rays of I,m,t, and u have the measure of 50∘ ?
A. 4
B. 6
C. 8
D. 10
E. 12
-3 Quiz
The ratio of the measures of the sides of a triangle is 9:7:3. If the perimeter of the triangle is 266 inches, find the length of the shortest side.
The circumference of a circle is 11πm. Find its radius, in meters. Answer Attempt 1 out of 2
r=□ m
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(Español) Two angles are complementary. The measure of one angle is 9∘ more than twice the measure of the other angle. Find the measure of each angle. Part 1 of 2 The measure of the smaller angle is □ . Part 2 of 2 The measure of the larger angle is □
12. Let a equal the measure of angle A. The equation 360∘=a+90∘+135∘+75∘ represents the sum of the angles in the quadrilateral. Find the missing angle measure by solving the equation.
6. QS is an angle bisector and TU is a perpendicular bisector of △PQR,m∠RQS=14x−21,m∠PQS=5x−3, PU=11z−20,QU=2z+16 and m∠TUQ=6y−12. Calculate the value of x,y,z,PU,QU,m∠RQP, and m∠PUT.
14x−21=5x−3+21=+219x=18x=2
A scale diagram of a building is drawn using a scale of 1 cm to 5 m . The building is 20 m tall in real life. How tall is the diagram of the building?
Give your answer in centimetres (cm).
Mathematics Progress Check
tum.com/assessments-delivery/sa/progresstest/launch/167859/45296478/aHR0cHM6Ly9mMS5hcHAuZWRtZW5 Mathematics Progress Check Complete the square above. What are the coordinates of the missing vertex?
A. (2,5)
B. (3,5)
C. (3,4)
D. (4,5)
This is a new version of the question.
Make sure you start new workings.
The diagram below shows a kite shape. Four identical copies of this kite have then been used to make the larger shape. Work out the size of angle x. Give your answer in degrees ( ∘ ). Not drawn accurately
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Landon is writing a coordinate proof to show that the diagonals of a square are perpendicular to each other. She starts by assigning coordinates as given.
12. ERROR ANALYSIS Describe and correct the error in classifying the quadrilateral.
∠B and ∠C are supplements, so AB∥CD. So, ABCD is a parallelogram. 13. ⋆ MULTIPLE CHOICE What is the most specific name for the quadrilateral shown at the right?
(A) Rectangle
(B) Parallelogram
(C) Trapezoid
(D) Isosceles trapezoid CLASSIFYING QUADRILATERALS Give the most specific name for the quadrilateral. Explain.
14.
(15.)
16.
An open-top box is to be constructed from a 4 in by 10 in rectangular sheet of tin by cutting out squares of equal size at each corner, then folding up the resulting flaps. Let x denote the length of the side of each cut-out square. Assume negligible thickness.
(a) Find a formula for the volume, V, of the box as a function of x.V(x)=□
(b) For what values of x does the formula from part (a) make sense in the context of the problem?
help (inequalities)
(c) On a separate piece of paper, sketch a graph of the volume function.
(d) What, approximately, is the maximum volume of the box?
(include units: help (units)
□
188. L'area dei settori circolari rappresentati è una certa frazione di quella dell'intero cerchio. Precisa in ciascun caso di quale frazione si tratta.
a.
d.
b.
e.
c.
f.
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artial proof was constructed given that MNOP is a allelogram. By the definition of a parallelogram, MN∥PO and MP∥NO.
Using MP as a transversal, ∠M and ∠P are same-side interior angles, so they are supplementary.
Using NO as a transversal, ∠N and ∠O are same-side interior angles, so they are supplementary.
Using OP as a transversal, ∠O and ∠P are same-side interior angles, so they are supplementary. Therefore, because they are supplements of the same angle. Which statement should fill in the blank in the last lin of the proof?
∠M is supplementary to ∠O∠N is supplementary to ∠P∠M≅∠P∠N≅∠P
6 Alex wants to build a rectangular wooden fence to enclose an area of 160 square feet. Inside, there is a partition made of wire mesh. The wooden fencing costs $2 per foot and the wire mesh costs $1 per foot. Find the dimensions of the fence that minimizes the cost. You do not need to verify that this is a minimum. Enter the minimizing (x,y)=0□□ ) (e.g. (1,4) without units)
In parallelogram LMNO, given MP=21m,LP=(y+3)m,NP=(3y−1)m, and P=(2x−1)m.
\text{What are the values of } x \text{ and } y \text{ such that:}
\begin{align*}
x &= 10 \mathrm{~m}, y = 1 \mathrm{~m} \\
x &= 10 \mathrm{~m}, y = 2 \mathrm{~m} \\
x &= 11 \mathrm{~m}, y = 1 \mathrm{~m} \\
x &= 11 \mathrm{~m}, y = 2 \mathrm{~m}
\end{align*}
Vérifier que ∀Z∈C,∣Z∣2=ZZˉ.
b) Montrer que ∀Z1,Z2∈C,
∣Z1+Z2∣≤∣Z1∣+∣Z2∣,
t que l'égalité a lieu si et seulement si arg(Z1)=arg(Z2)[2π].
c) Soient A,B,C et D quatre points deux à deux distincts et non alignés. Montrer ue :
AB⋅CD+AD⋅BC≥AC⋅BD,
t que l'égalité a lieu si et seulement si les points A,B,C,D sont cocycliques dans cet rdre.
5.2
112
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Question 26, 5.2.53
>
Find the measure of the side of the right triangle whose length is designated by the lower case letter c.
HW Score: 67.65%, 23 of 34 points
O Points: 0 of 1
B
T
向
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C
23 m
C
ப
33°
A
The formula for the surface area of a rectangular prism with a square base is SA=2s2+4sh. What is the surface area of this rectangular prism if s=3 a h=5 ?
CLEAR
A container is in the shape of a hollow inverted right circular cone of height 60 cm and radius 12 cm . The container, which is initially empty, is placed, with its axis vertical, under a tap where water is flowing in at the constant rate of kcm3/s. The rate at which the height of the water in the container is rising 12 minutes after it was placed under the tap is 601cm3/s. Calculate the value of k.
k=□ Expected answer:
(108/125)pi
125108π
A tank of water is connected to a tank of compressed air that produces a gauge pressure Pgauge =2.5×104Pa above the water. A small hole is opened in the side of the tank at a depth d=2.0m below the surface of the water and H=3.0m above the ground. Water leaves the hole moving parallel to the ground. What is the distance R that the water travels from the tank? You may assume atmospheric pressure outside the tank and that the diameter of the hole is very small compared to the diameter of the tank.
Spiral Review A triangle has angles measuring 45∘,55∘, and 80∘. It is dilated by a scale factor of 2 . What are the angle measures, in order from least to greatest, of the dilated image?
Enter the correct answers in the boxes. Show Hints
□□ , and □]∘□
8-8 Surface Area \& 8-9 Volume Practice
Find the surface area and volume of each prism. When you get your answer. find it in the answer choice at the bottom. All answers will NOT be used. YOU MUST SHOW ALL WORKI Figure
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