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makvit [3.9K]
3 years ago
13

∠A and \angle B∠B are vertical angles. If m\angle A=(8x-4)^{\circ}∠A=(8x−4) ∘ and m\angle B=(7x+3)^{\circ}∠B=(7x+3) ∘ , then fin

d the measure of \angle B∠B.
Mathematics
1 answer:
Zolol [24]3 years ago
7 0

Answer:

∠B = 52°.

Step-by-step explanation:

Given: m∠A=(8x-4)° and m∠B=(7x+3)°. ∠A and ∠B are vertical angles.

Since ∠A and ∠B are vertical angles. So, there measure are equal.

m\angle A=m\angle B

(8x-4)^{\circ}=(7x+3)^{\circ}

8x-4=7x+3

8x-7x=4+3

x=7

Now,

m\angle B=(7(7)+3)^{\circ}

m\angle B=(49+3)^{\circ}

m\angle B=52^{\circ}

Therefore, the measure of ∠B is 52°.

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Step-by-step explanation:

<h3> "Sara plotted the locations of the trees in a park on a coordinate grid. She plotted an oak tree, which was in the middle of the park, at the origin. She plotted a maple tree, which was 10 yards away from the oak tree, at the point (10,0) . Then she plotted a pine tree at the point (-2.4, 5) and an apple tree at the point (7.8, 5) What is the distance, in yards, between the pine tree and the apple tree in the</h3><h3>park?"</h3>

For this exercise you need to use the following formula, which can be used for calculate the distance between two points:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

In this case, you need to find distance, in yards, between the pine tree and the apple tree in the park.

You know that pine tree is located at the point (-2.4, 5) and the apple tree is located at the point (7.8, 5).

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