Solve for x. Question options:

A)

5

B)

4

C)

6

D)

3

x = 3

Step-by-step explanation:

set up proportion based on corresponding sides of similar triangles:

15 / 10 = 15 + x / 12

cross-multiply:

10(15 + x) = 15(12)

150 + 10x = 180

10x = 30

x = 3

b. y = 4x - 2

step-by-step explanation:

to find a parallel equation to an equation, make sure both equations have the same slope but different y-intercepts.

y = 4x + 1

4 = slope

1 = y-intercept

y = 4x - 2

4 = slope

-2 = y-intercept

they both have the same slope but different y-intercepts, so, b. is the correct answer.

and to check your work, you can graph both equations. : )