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2 years ago

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

Mathematics

2 answers:

kolbaska11 [484]2 years ago

6 0

we know that

Triangles ABC and DEC are similar triangles

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

substitute 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

<u>the answer is</u>

The value of x is equal to $28$

azamat2 years ago

4 0

X = 28

u have 2 similar triangles with a scale factor of 1/7

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