Question

What is the value of x?


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___ units

Answer 1

Apply Thales theorem

`\\ \tt\hookrightarrow (50)/(x)=(42)/(63)`

`\\ \tt\hookrightarrow (50)/(x)=(2)/(3)`

`\\ \tt\hookrightarrow 2x=150`

`\\ \tt\hookrightarrow x=75`

Answer 2

x = 75

Step-by-step 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,

`(42)/(105) = (50)/(50+x)`

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

`2100+42x=5250`

`42x=5250-2100`

`42x = 3150`

`x = (3150)/(42)`

`x=75`