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2 years ago

If you know the measure of the vertex angle of an isosceles triangle, how do you find out the measure of the base angles?

Mathematics

1 answer:

Irina-Kira [14]2 years ago

6 0

Answer:

Step-by-step explanation:

An isosceles triangle has 2 sides that are the same length. Let's say that our triangle has the 2 sides measuring the same and the base is a different length. The vertex angle is the top angle. By the definition of an isosceles triangle, since the 2 sides measure the same length, then the angles across from those sides have the same degree measure. If we know the measure of the vertex angle, then we have

180 = vertex angle - base angle - base angle

but since the base angles are the same and we have 2 of them, then

180 = vertex angle - 2 base angles

For example, if the vertex angle measures 80 degrees, then 180 - 80 = 100. That 100 has to be split in half for each of the base angles which are the same as each other. So the vertex angle is 80 and each base is 50.

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4. What is the x-value of

Viefleur [7K]

Answer:

B) 1

Step-by-step explanation:

Since we are using elimination, we can just cancel 2y and -2y. No need of multiplying anything if we are just looking for x.

We add the equations and get:

9x=9

Then divide and the final answer is:

x=1

3 0

2 years ago

PASSAGE:

Art [367]

The shortest distance separating Julio from Sarah is 111.8ft

To know the distance of the shortest bridge between Julio and Sarah, the following procedure must be carried out.

We know that Julio walked 100ft to one side and Sarah walked 20ft to the opposite side, that is, on the <em>y-axis</em> they are 120ft apart.

On the other hand, Julio stayed by the river and Sarah walked 9ft away from the river, that is, on the <em>x-axis</em> they are separated by a distance of 59ft (assuming that the width of the river is 50ft).

To know the linear distance that separates them, it is necessary to use the following formula of the Pythagorean theorem.

c² = a² + b²

c= $\sqrt{a^{2} + b^{2} }$

From this operation we know the value of a and b:

a = 120ft

b = 59ft

Now we just have to replace the values in the formula.

c = $\sqrt{120^{2} + 59^{2} }$

c = $\sqrt{14400 + 3481}$

c = $\sqrt{17881}$

c = 133,7

However, 133.5ft is not the value of the bridge distance because Sarah went 9ft away form the river. Then a portion must be subtracted from her to calculate the exact portion of the distance above the river.

For this we must calculate the distance that separates them that is above the Earth, for this we use the same mathematical formula.

c = $\sqrt{20^{2} + 9^{2} }$

c = $\sqrt{400 + 81}$

c = $\sqrt{481}$

c = 21,9ft

So the distance a part of the Earth covers is 21.9ft. To find out how far the bridge should be over the river, we subtract 21.9ft from the total distance 133.7ft

133,7ft - 21,9ft = 111,8ft

Note: This question is incomplete because it has missing information (the length and width of the river).

Learn more in: brainly.com/question/25292638