Question

What does x, and y equal

Answer 1

x = 1.25

y = 1.75

Explanation:

Since, the line that is 8 units long is parallel to the line that is ten units long.

Therefore, both the triangles are similar by AA postulate.

Corresponding sides of of the similar triangles are in proportion.

Therefore,

`(5)/(x + 5) = (7)/(y + 7) = (8)/(10) \\ \\ \implies (5)/(x + 5) = (8)/(10) \\ \\ 5 * 10 = 8(x + 5) \\ \\ 50 = 8x + 40 \\ \\ 50 - 40 = 8x \\ \\ 10 = 8x \\ \\ (10)/(8) = x \\ \\ x = 1.25 \\ \\ \\ (7)/(y + 7) = (8)/(10) \\ \\ 7 * 10 = 8(y + 7) \\ \\ 70 = 8y + 56 \\ \\ 70 - 56 = 8y \\ \\ 14 = 8y \\ \\ (14)/(8) = y \\ \\ y = 1.75`