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Deffense [45]
3 years ago
6

What are the measures of the angles in triangle ABC?

Mathematics
2 answers:
VMariaS [17]3 years ago
7 0

Complete question :

A right triangle has side lengths AC = 7 inches, BC = 24 inches, and AB = 25 inches.

What are the measures of the angles in triangle ABC?

a) m∠A ≈ 46.2°, m∠B ≈ 43.8°, m∠C ≈ 90°

b) m∠A ≈ 73.0°, m∠B ≈ 17.0°, m∠C ≈ 90°

c) m∠A ≈ 73.7°, m∠B ≈ 16.3°, m∠C ≈ 90°

d) m∠A ≈ 74.4°, m∠B ≈ 15.6°, m∠C ≈ 90°

Answer:

c) m∠A ≈ 73.7°, m∠B ≈ 16.3°, m∠C ≈ 90°

Step-by-step explanation:

Given:

Length AC = 7 inches

Length BC = 24 inches

Length AB = 25 inches

Since it is a right angle triangle,

m∠C = 90°

To find the measures of the angle in ∠A and ∠B, we have :

For ∠A:

SinA = \frac{BC}{AB}

SinA = \frac{24}{25}

SinA = 0.96

A = Sin^-^1 = 0.96

∠A = 73.7°

For ∠B:

SinB = \frac{AC}{AB}

SinB = \frac{7}{25}

SinB = 0.28

B = Sin^-^1 = 0.96

∠B = 16.26 ≈ 16.3°

Therefore,

m∠A = 73.7°

m∠B = 16.3°

m∠C = 90°

alexdok [17]3 years ago
7 0

Answer:

m∠A = 73.7°

m∠B = 16.3°

m∠C = 90°

Step-by-step explanation:

took the test :)

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4n -6 = 10n <br> Simplify.
pentagon [3]

-----------------------------------------------------------------------------------------------------------------

<em>Answer: </em><u>n = -1</u>

-----------------------------------------------------------------------------------------------------------------

add 6 to both sides of the equation.

4n − 6 = 10n

4n − 6 + 6 = 10n + 6

-----------------------------------------------------------------------------------------------------------------

simplify.

<em>(add the numbers)</em>

4n − 6 + 6 = 10n + 6

4n = 10n + 6

4n = 10n + 6

-----------------------------------------------------------------------------------------------------------------

subtract 10n from both sides.

4n − 10n = 10n + 6 − 10n

-----------------------------------------------------------------------------------------------------------------

simplify. (again)

<em>(combine like terms)                                          (combine like terms)</em>

4n − 10n = 10n + 6 − 10n<em>                                 </em>   −6n = 10n + 6 − 10n

−6n = 6

-----------------------------------------------------------------------------------------------------------------

divide both sides by the same term.

−6n/−6 = 6/-6

n = 6/−6n = 6/−6

-----------------------------------------------------------------------------------------------------------------

simplify. <em>(again)</em>

<em></em>

<em>(cancel terms that are in both the numerator and denominator)</em>

<em />

n = 6/−6

<em>(divide the numbers)</em>

<em />

n = 6/−6

<u>n = 1</u>

-----------------------------------------------------------------------------------------------------------------

8 0
3 years ago
Read 2 more answers
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