3 years ago

How do I do this it is a histogram problem the work is on the pictures

Mathematics

1 answer:

Dafna11 [192]3 years ago

4 0

You have to measure it

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Answer:

Option C. $26\ units$

Step-by-step explanation:

we know that

Triangles ADE and ABC are similar by AA similarity postulate

AB=2AD

Apply proportion

$\frac{AD}{AB}=\frac{8x-6}{12x+4}\\ \\\frac{AD}{2AD}=\frac{8x-6}{12x+4}\\ \\\frac{1}{2}=\frac{8x-6}{12x+4}\\ \\12x+4=16x-12\\ \\16x-12x=4+12\\ \\4x=16\\ \\x=4\ units$

Find the length of segment DE

$DE=8x-6=8(4)-6=26\ units$

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