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What is the value of x?


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Fieryanswererftidn

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,

[tex]\frac{42}{105} = \frac{50}{50+x}[/tex]

[tex](42)(50+x)=(50)(105)[/tex]

[tex]2100+42x=5250[/tex]

[tex]42x=5250-2100[/tex]

[tex]42x = 3150[/tex]

[tex]x = \frac{3150}{42}[/tex]

[tex]x=75[/tex]

Apply Thales theorem

[tex]\\ \tt\hookrightarrow \dfrac{50}{x}=\dfrac{42}{63}[/tex]

[tex]\\ \tt\hookrightarrow \dfrac{50}{x}=\dfrac{2}{3}[/tex]

[tex]\\ \tt\hookrightarrow 2x=150[/tex]

[tex]\\ \tt\hookrightarrow x=75[/tex]

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