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Sunny_sXe [5.5K]
3 years ago
5

In the figure, m<2=92 and m<12=74. Find the measure of each angle. Tell which postulate (s) or theorem (s) you used.

Mathematics
2 answers:
kvasek [131]3 years ago
8 0

Answer:

\angle 10=92\°\\\angle 8 = 92\°\\\angle 9=88\°\\\angle 5=106\°\\\angle 11 = 106\°\\\angle 13 = 106\°

Step-by-step explanation:

In the figure m \parallel n, and <em>r </em>and <em>s </em>are transversal that intercept those parallels.

Now, from the each interception of each transversal we have 8 angles related.

\angle 1, \angle 2, \angle 7, \angle 8, \angle 9, \angle 10, \angle 16, \angle 15, all these angles are related.

\angle 3, \angle 4, \angle 5, \angle 6, \angle 11, \angle 12, \angle 13, \angle 14, all these angles are related.

By corresponding angles, we have the following congruence

\angle 2 \cong \angle 10

This means that

\angle 10 = \angle 2= 92\°

\angle 9 = 180\° - \angle 10,  by supplementary angles.

\angle 9= 180\°-92\°=88\°

\angle 8 = \angle 2, by vertical angles theorem.

\angle 8= 92

\angle 5 = \angle 11, by alternate interior angles.

\angle 11=180\° - \angle 12, by supplementary angles.

\angle 11= 180\°-74\°=106\°

\angle 5=106\°

\angle 13 = \angle 11, by vertical angles theorem.

\angle 13 = 106\°

Therefore, the answers are

\angle 10=92\°\\\angle 8 = 92\°\\\angle 9=88\°\\\angle 5=106\°\\\angle 11 = 106\°\\\angle 13 = 106\°

stich3 [128]3 years ago
6 0

Answer:

m∠10 = 92°

m∠8 = 92°

m∠9 = 88°

m∠5 = 88°

m∠11 = 88°

m∠13 = 88°

Step-by-step explanation:

m∠10 = 92° (corresponding angles are equal)

m∠8 = 92° (Vertically opposite angles are equal)

m∠9 = m∠7 = 88° (Alternate interior angles are equal)

m∠5 = m∠7 = 88°  (corresponding angles are equal)

m∠11 = m∠5 = 88°  (Alternate interior angles are equal)

m∠13 = m∠11 = 88° (vertically opposite angles are equal)

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A percentage is a way to describe a part of a whole. The approximate percent decrease in the price is 21.87%, thus, the correct option is B.

<h3>What are Percentages?</h3>

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Given the reduction in the price is $7, while the original cost is $32. Therefore, the approximate percent decrease in the price is,

Percentage decrease = 7/32  × 100%

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The correct question is:

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7 0
2 years ago
Answers...............
umka21 [38]
Answer: Two acute angles
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3 years ago
PLEASE HELP QUICKLY IM VERY CONFUSED
Harman [31]

Answer:

42/90

Step-by-step explanation:

               <u>   </u>

Let x = .46

multiply both sides by 10

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10x = 4.66

multiply both sides by 10 again

                 <u>    </u>

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100x - 10x = 46.66 - 4.66

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<span>(f o g)(4) = f(g(4))
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Answer:

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The graphs of the lines are shown below:

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