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2 votes
Helppppp plsss solve for x

Helppppp plsss solve for x-example-1
User Amit Rana
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2 Answers

4 votes
there are two similar triangles.
small one , sides x and 71.5-22=49.5
bigger one, sides 97.5 and 71.5

x/97.5 = 49.5/71.5
x = 67.5
User Sorin Burghiu
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6.9k points
5 votes
The two triangles we can see in the diagram are similar, which means that their measurements are proportional. Line MN on the larger triangle MNP is 71.5ft long, and its corresponding line, MA, on the smaller triangle is 71.5-22= 49.5ft long. This means that the scale factor from the bigger to the smaller triangle is 71.5/49.5=13/9.
If line MP on the bigger rectangle is 97.5ft long, then its corresponding line, MB, must be 97.5รท13/9=67.5 ft long.
Therefore, x=67.5 ft
User Bin Chen
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5.5k points