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Marysya12 [62]
3 years ago
12

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

Mathematics
1 answer:
Grace [21]3 years ago
3 0
The shapes are similar.
When two figures are similar, the ratios of the lengths of their corresponding sides are equal.
Therefore,
\frac{42}{(15 + 42)} = \frac{x}{10 + x}

Simplify:
\frac{42}{57} = \frac{x}{10 + x}
Cross multiply:
42(10+x) = 57x
420 + 42x = 57x
420 = 57x - 42x
420 = 15x
x = (420÷15)
x = 28

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