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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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What is the growth or decay and the percentage rate of Y=23(0.292)^x
torisob [31]

Answer:

So the decay percentage rate is of 70.8%

Step-by-step explanation:

An exponentil function has the following format:

y = ca^{x}

In which c is a constant.

If a>1, we have that a = 1 + r and r is the growth rate.

If a<1, we have that a = 1 - r and r is the decay rate.

In this problem:

a = 0.292

A is lesser than 1, so r is the decay rate.

1 - r = 0.292

r = 1 - 0.292

r = 0.708

So the decay percentage rate is of 70.8%

5 0
3 years ago
A triangular prism and two nets are shown:
lilavasa [31]

Answer:

Net for the prism will have 3 rectangles with dimensions 5 by 15, 12 by 15 , and 13 by 15, and 2 triangles with legs 5 inches and 12 inches.

The correct net is net a.

Surface area = sum of areas of the three rectangles and sum of the two triangles.

SA = (5 x 15) + (12 x 15) + (13 x 15) + (5 x 12) = 75 + 180 + 195 + 60 = 510 square inches.

Step-by-step explanation:

Hope this helped

4 0
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