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Gwar [14]
3 years ago
15

Given: y || 2 Prove: m25+ m22 + m26 = 180°

Mathematics
1 answer:
Maurinko [17]3 years ago
7 0

Answer:

1. Statement: y || z

Reason: given

2. Statement: m∠1 + m∠2 + m∠3 = m∠LAM

Reason: angle addition postulate

3. Statement: m∠1 + m∠2 + m∠3 =180

Reason: def. of a straight angle

4. Statement: ∠1 ≅∠5

Reason: alternate interior angles theorem

5. Statement: ∠3 ≅∠6

Reason: alternate interior angles theorem

6. Statement: m∠1 = m∠5

Reason: def. of ≅

7. Statement: m∠3 = m∠6

Reason: def. of ≅

8. Statement: m∠5 + m∠2 + m∠6 = 180

Reason: substitution

Step-by-step explanation:

Hope this helps! :)

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You're standing on the ground 7777 meters away from the bottom of a tall tower. The tower itself is 346346 meters tall. What is
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Answer:

88.7°

Step-by-step explanation:

First, visualize. Assuming that the tower is at a perfectly 90° angle to the ground, you have a right triangle. We will call this triangle ΔABC where A is where you are, B is the top of the tower, and C is the base of the tower. Now we know the following:

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Note: Triangles are labeled with three pairs of letters: a, b and c and A, B and C. The lower case letters, a, b and c represent the sides, and the upper case letters are the angles that are directly opposite of those sides. (see attached reference)

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Now if we use the Law of Sines:

\frac{a}{sinA} = \frac{b}{sinB} = \frac{c}{sinC}

We can use c and a, since we're trying to find what angle A is, so the ratio is set up as:

\frac{346346}{sinA} = \frac{346433.3}{sinC}

Well we know that C = 90, and so sin(90) in degrees (as opposed to radians) is 1. So then the set of equations is now:

\frac{346346}{sinA} = \frac{346433.3}{1}

Cross Multiply to get rid of the fractions:

346346 = 346433.3 * sin(A)

Divide:

\frac{346346}{346433.3} = sin(A)

Using a calculator, if you take the arcsin of that fraction, you will get what angle A is supposed to be:

arcsin( \frac{346346}{346433.3} ) = ∠A = 88.7°

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