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2 years ago

An angle measures 62.4° more than the measure of its supplementary angle. What is the measure of each angle?

Mathematics

1 answer:

Klio2033 [76]2 years ago

5 0

Answer:

Step-by-step explanation:

If an angle measures x degrees, the measure of its supplement is (180-x) degrees.

This means that x-62.4 = 180-x, meaning that x=121.2.

So, the angles are 121.2 and 58.8 degrees.

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Calculate the side lengths a and b to two decimal places

muminat

Answer:

Option (D)

Step-by-step explanation:

In the picture attached,

An obtuse angle triangle ABC has been given.

By applying Sine rule in the triangle,

$\frac{\text{SinB}}{b}=\frac{\text{SinA}}{a}=\frac{\text{SinC}}{c}$

Since, m∠A + m∠B + m∠C = 180°

45° + 110° + m∠C = 180°

m∠C = 180°- 155° = 25°

$\frac{\text{Sin110}}{b}=\frac{\text{Sin45}}{a}=\frac{\text{Sin25}}{7}$

$\frac{\text{Sin110}}{b}=\frac{\text{Sin45}}{a}=0.060374$

$\frac{\text{Sin110}}{b}=0.060374$

b = $\frac{\text{Sin110}}{0.060374}$

b = 15.56

b ≈ 15.56

$\frac{\text{Sin45}}{a}=0.060374$

a = $\frac{\text{Sin45}}{0.060374}$

a = 11.712

a = 11.71

Therefore, Option (D) will be the answer.

3 0

3 years ago

What times 17 -20 equals 180?

grigory [225]

Answer:

Step-by-step explanation:

17-20=3. 60times3 equals 180. So 60

7 0

3 years ago

Which word is used to name the bold number?

EastWind [94]

A <<<<<<<{<<<<<<<<<<<

5 0

3 years ago

Work out<br><img src="https://tex.z-dn.net/?f=1%20%5Cfrac%7B2%7D%7B3%7D%20-%20%20%5Cfrac%7B11%7D%7B15%7D%20%20" id="TexFormula1"

zhuklara [117]

$1\dfrac{2}{3}-\dfrac{11}{15}=1\dfrac{2\cdot5}{3\cdot5}-\dfrac{11}{15}=1\dfrac{10}{15}-\dfrac{11}{15}=\dfrac{25}{15}-\dfrac{11}{15}=\dfrac{14}{15}$

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3 years ago

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1.5 : 2.5<br> how to simplify it

nataly862011 [7]

If you use the common denominator of .5 for both sides of the ratio, you will arrive at 3:5 as a simplified form.

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2 years ago

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