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slava [35]
4 years ago
12

Need help with this one

Mathematics
1 answer:
steposvetlana [31]4 years ago
4 0

Answer:

∠TRS = 40°

Step-by-step explanation:

∠UTS is an exterior angle of the triangle

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles, that is

∠UTS = ∠TRS + ∠RST

9x - 15 = 3x + 16 + x + 9

9x - 15 = 4x + 25 ( subtract 4x from both sides )

5x - 15 = 25 ( add 15 to both sides )

5x = 40 ( divide both sides by 5 )

x = 8

∠TRS = 3x + 16 = (3 × 8) + 16 = 24 + 16 = 40°

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Answer:

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3 years ago
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Trayvon has a mug shaped like a hemisphere. Its diameter is 18 cm. To the nearest hundredth, what is the capacity of her mug?
bulgar [2K]

Answer:

The capacity of the mug is 1,527.43 cm^3

Step-by-step explanation:

In this question, we are asked to calculate the capacity of the hemisphere. This is same as calculating the volume of the hemisphere.

A hemisphere is a sharpe which is half a sphere. Meaning to get a hemisphere, we shall be diving a sphere into 2.

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3 years ago
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kolezko [41]

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10

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