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Vitek1552 [10]
3 years ago
13

Find the measure of all the missing angles​

Mathematics
2 answers:
denis-greek [22]3 years ago
8 0

Answer:

a = 70 .  b = 55 .  c = 25

Step-by-step explanation:

c = 25 (vertically opposite)

100 + 25 = 125

180 - 125 = 55

b = 55

180 - 110 = 70

a = 70

svp [43]3 years ago
6 0
A = 70 degrees as angles on a straight line equal 180 degrees
B = 55 degrees as a angles on a straight line equal 180 degrees
C = 25 degrees as opposite angles are equal
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lara31 [8.8K]

Answer:

Option (D)

Step-by-step explanation:

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72° + 85° + m∠C = 180°

m∠C = 180 - 157

m∠C = 23°

By applying Sine rule in the triangle,

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

\frac{\text{Sin72}}{a}=\frac{\text{Sin85}}{b}=\frac{\text{Sin23}}{6.2}

\frac{\text{Sin72}}{a}=\frac{\text{Sin85}}{b}=0.06302

\frac{\text{Sin72}}{a}=0.06302

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b = \frac{\text{Sin85}}{0.06302}

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2 years ago
The length of a rectangle is 8 inches more than the width. The perimeter is 36 inches. Find the length and the width (in inches)
Fofino [41]

Answer: w = 4 and l = 12

Step-by-step explanation:

7 0
3 years ago
Find the value of x. Round the length to the nearest tenth.
Mamont248 [21]
From right triangle trigonometry, we have the following:

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tan(35^o) is a constant which can be found using a calculator.

In the calculator of the pc press: view - scientific - 35 - tan.

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Thus, back in the equation \displaystyle{ tan(35^o)= \frac{opposite \ side }{adjacent \ side } we substitute as follows and solve:


\displaystyle{0.7= \frac{x }{12 }\\\\

x=0.7\cdot12=8.4


Answer: 8.4 cm
5 0
3 years ago
Read 2 more answers
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Answer:

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Step-by-step explanation:

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Let me know if you want an even more in-depth answer

Happy to do so !

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