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Verdich [7]
4 years ago
11

Need help with this math problem

Mathematics
1 answer:
ladessa [460]4 years ago
8 0

Answer:

m<1: 51

m<2: 61

m<3: 29

Step-by-step explanation:

m<1 = 51, because to find the 3rd angle, you need to add the other two angles and then subtract 180 from that answer.

61 + 68 = 129

180 - 129 = 51

m<2 = 61, because it's a vertical angle, meaning that the angle that's opposite to it exactly, is the same. So since the angle opposite to m<2 is 61, that's what the answer would be.

m<3 = 29, because all you need to do is add 90 and 61, and then subtract 180 by the answer. I got 90 as one of the angle measurements because there's a right triangle, meaning it's 90. Then since we already know what angle 2 is (61) then all you need to do is add:

90 + 61 = 151

Then subtract:

180 - 151 = 29

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dimaraw [331]

Answer:

∠F ≈ 53°

General Formulas and Concepts:

<u>Trigonometry</u>

  • sin∅ = opposite over hypotenuse
  • sin inverse evaluates "backward" to find the measure angle

Step-by-step explanation:

<u>Step 1: Define</u>

Looking at ∠F

opposite leg of ∠F = ED = 8

hypotenuse = FE = 10

<u>Step 2: Find m∠F</u>

  1. Substitute:                    sin∠F = 8/10
  2. Simplify:                        sin∠F = 4/5
  3. Take sin inverse:          ∠F = sin⁻¹(4/5)
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3 years ago
There are three separate, equal-size boxes, and inside each box there are four separate small boxes, and inside each of the smal
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Answer:

There are 51 boxes all together.

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Since there are three separate, equal-size boxes, and inside each box there are four separate small boxes, and inside each of the small boxes there are three even smaller boxes, to determine how many boxes are there all together, the following calculation must be done:

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51 = X

Therefore, there are 51 boxes all together.

6 0
3 years ago
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