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Ratling [72]
2 years ago
6

The midpoint of UV is M(8,1). One endpoint is U(10,2). Find the coordinates of the other

Mathematics
1 answer:
nadya68 [22]2 years ago
8 0
(10 + a / 2, 2 + b / 2) = (8, 1)

10 + a / 2 = 8
10 + a = 16
a = 6

2 + b / 2 = 1
2 + b = 2
b = 0

so V(6, 0)
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vladimir2022 [97]

Taking logarithms, you get

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Helga [31]

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Step-by-step explanation:

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5. On a college campus, the library is 80 yards due east of the dormitory and the recreation center is due north of the
Luda [366]

The length of the new sidewalk between the Dormitory to the recreation center is 143 yards

We need to understand the concept of Bearing and Distance in order to be able to determine how long is the new sidewalk.

<h3>What are Bearing and Distance?</h3>

The Bearing of an angle measures the movement of an angle in a clockwise direction starting from the North Pole. However, the distance shows how the length of the sides of the angle can also be measured.

From the diagram attached below:

  • The adjacent of the sidewalk way = 80 yards.
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Using the relation from trigonometry:

\mathbf{Cos \ \theta = \dfrac{adjacent}{hypotenuse}}

\mathbf{Cos \ 56 = \dfrac{80 \ yards }{x}}

\mathbf{x= \dfrac{80 \ yards }{Cos \ 56 }}

\mathbf{x= 143.06 \ yards}

x ≅ 143 yards

Learn more about Bearing and distance here:

brainly.com/question/17007896

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