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lina2011 [118]
3 years ago
12

What is the area of triangle UVW if the area of triangle RST is 36 cm and the scale

Mathematics
1 answer:
weeeeeb [17]3 years ago
6 0

Answer:

  225 cm²

Step-by-step explanation:

The ratio of areas is the square of the scale factor.

  area UVW = (5/2)²·area RST = (25/4)(36 cm²) = 225 cm²

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Answers and Step-by-step explanations:

9-18.

a) All the angles of a triangle add up to 180, by definition. So, we can write the expression: 30 + 115 + x = 180.

Then, we can just solve for x by subtracting 30 and 115 from both sides:

x = 180 - 115 - 30 = 35 degrees

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a) These angles add up to 180:

2x + x + 30 = 180  ⇒  3x + 30 = 180  ⇒  3x = 150  ⇒  x = 50

2x = 50 * 2 = 100

The missing angles are 100 degrees and 50 degrees.

b) Again, these add up to 180:

x + 10 + x + 90 = 180  ⇒  2x + 100 = 180  ⇒  2x = 80  ⇒  x = 40

x + 10 = 40 + 10 = 50

The missing angles are 50 degrees and 40 degrees.

Hope this helps!

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3 years ago
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Answer:

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