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Dahasolnce [82]
3 years ago
10

Given the diagram below, find the value of x. Then find AC,

Mathematics
1 answer:
Stels [109]3 years ago
7 0

Answer:

x=5,\\AC=14

Step-by-step explanation:

Since one triangle is inscribed in another, the two triangles are similar. As marked in the diagram, the sides of the larger triangle are exactly two times larger than the corresponding sides of the smaller triangle.

Therefore, we have:

2(x+2)=4x-6,\\2x+4=4x-6,\\10=2x,\\x=\boxed{5}

Since AC is marked by 4x-6:

AC=4(5)-6,\\AC=20-6,\\AC=\boxed{14}

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<h3>What is an area?</h3>

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.

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Learn more about Area:

brainly.com/question/1631786

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