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murzikaleks [220]
3 years ago
8

Find the m∠YAX in the figure below

Mathematics
1 answer:
11Alexandr11 [23.1K]3 years ago
4 0

Answer:

76

Step-by-step explanation:

The two angles are vertical angles so they are equal

3x+7 = 4x-16

Subtract 3x from each side

3x-3x+7 = 4x-3x-16

7 = x-16

Add 16 to each side

7+16 = x-16+16

23 =x

We want YAX

YAX = 3x+7

3*23+7

69+7

76

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<u>Answer:</u>

The coordinates of endpoint V is (7,-27)

<u>Solution:</u>

Given that the midpoint of line segment UV is (5,-11) And U is (3,5).

To find the coordinates of V.

The formula for mid-point of a line segment is as follows,

Midpoint of UV is \frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2}

As per the formula,  \frac{x_{1}+x_{2}}{2}=5, \frac{y_{1}+y_{2}}{2}=-11

Here x_{1}=3; y_{1}=5

Substituting the value of x_{1} we get,

\frac{3+x_{2}}{2}=5

3+x_{2}=5\times2

x_{2}=10-3

x_{2}=7

Substituting the value of x_{2} we get,

\frac{5+y_{2}}{2}=-11

5+y_{2}=-11\times2

y_{2}=-22-5

y_{2}=-27

So, the coordinates of V is (7,-27)

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