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Ilia_Sergeevich
2 months ago
15

I'm the diagram below abc-dec what is the value of x?

Mathematics
2 answers:
Svet_ta [12.7K]2 months ago
6 0

we know that

Triangles ABC and DEC are similar triangles

therefore

\frac{AB}{AC} =\frac{ED}{DC}

substituting the values

\frac{42}{x} =\frac{6}{32-x}

42*(32-x)=6*x

7*(32-x)=x

224-7x=x

8x=224

x=28

therefore

the answer is

The value of x equals 28

Inessa [12.5K]2 months ago
4 0
X = 28

there are two similar triangles with a scale factor of 1/7.
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