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garri49 [273]
3 years ago
6

A fence on a hill uses vertical posts L and M to hold parallel rails N and P. If m∠1 = 115, then what is the measure of ∠16?

Mathematics
1 answer:
kiruha [24]3 years ago
4 0

Step-by-step explanation:

Given information:

A fence on a hill uses vertical posts L and M to hold parallel rails N and P

The diagram is attached below

Here lines N  and P are parallel lines

Transversal line for parallel lines N  and P is line L

Calculation:

angle 1  and angle 16 are consecutive exterior angles

If parallel lines are cut by a transversal then consecutive exterior angles are supplementary

So measurement of angle 16 = 65 degrees

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Step-by-step explanation:

<h2>This problem bothers on the mensuration of solid shapes, a rectangular prism.</h2>

The storage space takes the shape of a rectangular prism, and we are required to find the width and length  of the storage space.

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Given data

volume v=595ft^{3}

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595= 7w*w*5\\595=7w^{2}*5\\ 595= 35w^{2} \\

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w=\sqrt{17} \\w= 4.12

since we know that length= 7w and width = w , we can substitute our value for w and find the length and width

length= 7*4.12= 28.86ft\\width = 4.12ft

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