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Nadya [2.5K]
3 years ago
9

Can anyone please help me with this question 61

Mathematics
1 answer:
tamaranim1 [39]3 years ago
4 0
The answer is b hope i help
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Please show your work and explain
liberstina [14]
We can use a theorem called Proportional segments in right triangles.

1. How far is library from the park?
<span>The perpendicular is the mean proportional between the segments of the hypotenuse, so:
</span>PL= \sqrt{FL \cdot HL } = \sqrt{8 \cdot 2 } =  \sqrt{16}=4 \ miles

2. How far is the park from the football field?
<span>Each leg of the given triangle is the mean proportional between the hypotenuse and the adjacent segment, so:
</span>PF= \sqrt{FH \cdot FL } = \sqrt{(8+2) \cdot 8 } = \sqrt{80}=4 \sqrt{5}  \ miles

Answer: A.

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57+14=71 because if the difference is 57 71-57=14 so the difference is 14.
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