Question

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

Answer 1

Answer:

x = 7

Step-by-step explanation:

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

Thus:

$\frac{BC}{BF} = \frac{BD}{BG}$

Substitute

$\frac{17x + 13}{36} = \frac{154}{42}$

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