Question

What is the value of x? Enter your answer in the box. ___ units

Answer 1

Apply Thales theorem

$\\ \tt\hookrightarrow \dfrac{50}{x}=\dfrac{42}{63}$

$\\ \tt\hookrightarrow \dfrac{50}{x}=\dfrac{2}{3}$

$\\ \tt\hookrightarrow 2x=150$

$\\ \tt\hookrightarrow x=75$

Answer 2

Answer:

x = 75

Explanation:

This is similarities in sides questions. To solve make equation.

JY = 42

JS = 42 + 63 = 105

JD = 50

JF = 50 + x

Using the sides,

$\frac{42}{105} = \frac{50}{50+x}$

$(42)(50+x)=(50)(105)$

$2100+42x=5250$

$42x=5250-2100$

$42x = 3150$

$x = \frac{3150}{42}$

$x=75$