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Leokris [45]
2 years ago
7

The figure is made up of 3 semicircles. Find its perimeter in terms of pi.

Mathematics
1 answer:
icang [17]2 years ago
5 0

Answer:

The answer is 20pi

Step-by-step explanation:

perimeter of a semicircle = pi* radius

perimeter of first semicircle = 5.pi

perimeter of second semicircle = 5.pi

perimeter of third semicircle = 10. pi

total perimeter = 5pi +5pi + 10pi

= 20pi

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Identify the theorem or postulate that is related to the measures of the angles in the pair, and find the unknown angle measures
aleksley [76]

Angles formed when two parallel are intersected by a common transversal include, corresponding, alternate interior and exterior, same-side interior, and vertically opposite angles

The correct option is Same–Side Int. ∠s Thm. m∠1 = 30°, m∠5 = 150°

The reason the selection is correct is as follows:

The given angles are;

m∠1 = (30·x - 30)°. m∠5 = (40·x + 70)°

∠1, and ∠5, are located on the same side of the transversal and are both formed on the interior side of the parallel lines

Therefore, they are same–side interior angles

Same side interior angles theorem states that same side interior angles formed between parallel lines are supplementary

Therefore, we have;

m∠1 + m∠5 = 180°

Which gives;

(30·x - 30)° + (40·x + 70)° = 180°

(70·x + 40)° = 180°

70·x = 180° - 40° = 140°

x = \dfrac{140^{\circ}}{70} = 2^{\circ}

m∠1 = (30·x - 30)° = (30 × 2 - 30)° = 30°

m∠1 = 30°

m∠5 = (40·x + 70)° = (40 × 2 + 70)° = 150°

m∠5 = 150°

The correct option is therefore;

Same-Side Int. ∠s Thm. m∠1 = 30°, m∠5 = 150°

Learn more about parallel lines cut by a transversal here:

brainly.com/question/533025

8 0
2 years ago
What is the answer to this
Sphinxa [80]

X= 3/9 is the answer!!

7 0
3 years ago
The record low temperature in Cuba is 33°F. The record high temperature in Cuba is 102°F. How many degrees warmer is the record
AnnZ [28]

Answer:

69

Step-by-step explanation:

3 0
3 years ago
What is the simplified form of V 100x35 ?
ElenaW [278]

Answer:

answer is 3500.

answer is 3500

answer is 3500

7 0
3 years ago
Lexie began making posters for the school awards banquet. She can make 6 posters per minute. Zach joined her 10 minutes after sh
Snowcat [4.5K]
10 * 6 = 60 by the time Zach joins so 125-60 = 65
Now 6 (lexie) +7 (zach)  = 13 (together) and 65/13 = 5. 
6*5 = 30 and 7*5 = 35. 35+30 = 65
Your answer is 5. 
7 0
3 years ago
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