AB ≅ CD. Find the length of BD.?

[Leo34005]

Homework Statement

AB ≅ CD. Find the length of BD.?

AB ≅ CD. Find the length of BD.

Homework Equations

A) 8
B) 10
C) 4
D) 7
E) -7

The Attempt at a Solution

AB = 2x + 5x + 7 = 7x + 7

CD = 5x + 7 + 3x - 4 = 8x + 3

AB ~= CD
7x + 7 = 8x + 3

7 - 3 = 8x - 7x => x = 4

BD = 3x - 4 = 3(4) - 4 = 8

ans: A) 8

 

[CaptainEvil]

correct. good job