QuestionSolve for $x$ if angle three is $6x + 16$ and angle seven is $2x + 2$ .

Studdy Solution

STEP 1

Assumptions1. Angle three is equal to $6x +16$ . Angle seven is equal to $x +$
3. Angle three and angle seven are corresponding angles4. Corresponding angles are equal

STEP 2

Since angle three and angle seven are corresponding angles, they are equal. We can set up the equation as follows $6x +16 =2x +2$

STEP 3

To solve for $x$ , we first need to get all terms involving $x$ on one side of the equation and the constant terms on the other side. We can start by subtracting $2x$ from both sides of the equation $6x -2x =2x -2x +16 -2$

STEP 4

implify the equation $4x =14$

STEP 5

To isolate $x$ , divide both sides of the equation by4 $\frac{4x}{4} = \frac{14}{4}$

STEP 6

implify to find the value of $x$ $x = \frac{}{2}$ So, $x = \frac{}{2}$ or $x =3.5$ .

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QuestionSolve for $x$ if angle three is $6x + 16$ and angle seven is $2x + 2$ .

Studdy Solution

STEP 1

Assumptions1. Angle three is equal to $6x +16$ . Angle seven is equal to $x +$
3. Angle three and angle seven are corresponding angles4. Corresponding angles are equal

STEP 2

Since angle three and angle seven are corresponding angles, they are equal. We can set up the equation as follows $6x +16 =2x +2$

STEP 3

To solve for $x$ , we first need to get all terms involving $x$ on one side of the equation and the constant terms on the other side. We can start by subtracting $2x$ from both sides of the equation $6x -2x =2x -2x +16 -2$

STEP 4

implify the equation $4x =14$

STEP 5

To isolate $x$ , divide both sides of the equation by4 $\frac{4x}{4} = \frac{14}{4}$

STEP 6

implify to find the value of $x$ $x = \frac{}{2}$ So, $x = \frac{}{2}$ or $x =3.5$ .

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QuestionSolve for xxx if angle three is 6x+166x + 166x+16 and angle seven is 2x+22x + 22x+2.

Studdy Solution

STEP 1

Assumptions1. Angle three is equal to 6x+166x +166x+16 . Angle seven is equal to x+x +x+3. Angle three and angle seven are corresponding angles4. Corresponding angles are equal

STEP 2

Since angle three and angle seven are corresponding angles, they are equal. We can set up the equation as follows6x+16=2x+26x +16 =2x +26x+16=2x+2

STEP 3

To solve for xxx, we first need to get all terms involving xxx on one side of the equation and the constant terms on the other side. We can start by subtracting 2x2x2x from both sides of the equation6x−2x=2x−2x+16−26x -2x =2x -2x +16 -26x−2x=2x−2x+16−2

STEP 4

implify the equation4x=144x =144x=14

STEP 5

To isolate xxx, divide both sides of the equation by44x4=144\frac{4x}{4} = \frac{14}{4}44x​=414​

STEP 6

implify to find the value of xxxx=2x = \frac{}{2}x=2​So, x=2x = \frac{}{2}x=2​ or x=3.5x =3.5x=3.5.

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QuestionSolve for $x$ if angle three is $6x + 16$ and angle seven is $2x + 2$ .

Assumptions1. Angle three is equal to $6x +16$ . Angle seven is equal to $x +$
3. Angle three and angle seven are corresponding angles4. Corresponding angles are equal

Since angle three and angle seven are corresponding angles, they are equal. We can set up the equation as follows $6x +16 =2x +2$

To solve for $x$ , we first need to get all terms involving $x$ on one side of the equation and the constant terms on the other side. We can start by subtracting $2x$ from both sides of the equation $6x -2x =2x -2x +16 -2$

implify the equation $4x =14$

To isolate $x$ , divide both sides of the equation by4 $\frac{4x}{4} = \frac{14}{4}$

implify to find the value of $x$ $x = \frac{}{2}$ So, $x = \frac{}{2}$ or $x =3.5$ .