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Sagot :
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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