Question

What’s the process for finding c in this equation?

Answer 1

x = 7

Explanation:

Given that ∆BCD ~ ∆BFG, therefore the ratio of their corresponding side lengths will be equal.

Thus:

`(BC)/(BF) = (BD)/(BG)`

Substitute

`(17x + 13)/(36) = (154)/(42)`

Cross multiply

`42(17x + 13) = 154(36)`

`714x + 546 = 5,544`

`714x = 5,544 - 546` (subtraction property of equality)

`714x = 4,998`

Divide both sides by 714

x = 7