Given that the triangles shown below are similar, what is the value of X?

x = 24 (Answer B)

Step-by-step explanation:

Notice that the side lengths of the first (larger) triangle are twice (2x) the corresponding sides of the second (smaller) triangle.

Thus the length of x is half of the corresponding side in the larger triangle, that is:  x = half of 48, or x = 24 (Answer B)

y = 5x + 17

step-by-step explanation:

a perpendicular line will be the opposite reciprocal slope of the given equation.   the slope given is -1/5 so the opposite reciprocal is 5

find b:

7 = 5 (-2) + b

7 = -10 + b

17 = b

write equation

y = 5x + 17