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Usimov [2.4K]
3 years ago
8

Triangle ABC is similar to triangle QRS by the AA Similarity Postulate.

Mathematics
2 answers:
dimulka [17.4K]3 years ago
6 0
Angle B is 60 degrees
Kipish [7]3 years ago
3 0

Answer:

Measure of ∠B is 60°    

Step-by-step explanation:

Given triangle ABC is similar to triangle QRS.

m∠A = 45° and m∠S = 75°

we have to find the measure of ∠B.

As triangles are similar then corresponding angles are congruent.

⇒ ∠A≅∠Q, ∠B≅∠R, ∠C≅∠S

hence, m∠C=m∠S=75°

By angle sum property

m∠A+m∠B+m∠C=180°

⇒ 45°+m∠B+75°=180°

⇒ m∠B+120°=180°

⇒ m∠B=60°

hence, measure of ∠B is 60°

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Nikitich [7]
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2*2/9*2 = 4/18
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Now we can add all the numerators.

4/18 + 2/18 + 3/18 = 9/18

Simplify our answer by dividing both numbers by 3, then by 2.

9/3 and 18/3 = 3/6= 1/2

Our final answer is 1/2

6 0
3 years ago
The following prism has a base area of 20\pi20π20, pi square units and a volume of 120\pi120π120, pi cubic units. The cylinder h
vivado [14]

Given:

A prism has a base area of 20\pi square units and a volume of 120\pi cubic units.

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What is the equation of the line that passes through (0, 3) and (7, 0)?
r-ruslan [8.4K]
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5 0
3 years ago
This question please
AlexFokin [52]

19^2 + x^2 = 21^2

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3 years ago
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