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SVEN [57.7K]
3 years ago
13

The measure of ∠CBD is 45% of the measure of ∠ABC. Find the value of x.

Mathematics
1 answer:
Bogdan [553]3 years ago
4 0

Answer:

x = 49.5°

Step-by-step explanation:

∠ABC = 90°

∠CBD = 45%∠ABC

∠CBD = 0.45(90)

∠CBD = 40.5°

x = ∠ABC - ∠CBD

x = 90 - 40.5

<u>x = 49.5°</u>

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A boat can travel 105 miles on 15 gallons of gasoline. How much gasoline will it need to go 140 miles?
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Answer:

20 gallons

Step-by-step explanation:

105/15=7

7*20=140

4 0
3 years ago
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Donna made a picture frame as a gift for her mom. To make it more stable, she wants to add a brace to the back of it running dia
Komok [63]

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I think C is the correct answer

4 0
3 years ago
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7. If the area of a square is 64 square centimeters, what's the
Anvisha [2.4K]

Answer:

If you're asking what the perimeter is:

C 32cm

If you're asking what the length of a side is:

A 8cm

Step-by-step explanation:

Area of a square is calculated by length x width.

And all four sides of a square are equal in length.

Area: 8cm×8cm=64cm2

Perimeter: 8cm + 8cm + 8cm + 8cm= 32cm

Another way to find the length of the sides would be to take the square root of 64. I believe that only works with the area of a square though.

√(64)=8

5 0
3 years ago
Consider a population consisting of the number of teachers per college at small 2-year colleges. Suppose that the number of teac
agasfer [191]

Answer:

a) \frac{8}{9} =0.89

b) 0.8413

Step-by-step explanation:

we know that

P(║ x -\mu║ \leq  k\sigma) \geq 1 -\frac{1}{k^2}

so, \mu = 150, \sigma = 20

k =  \frac{210 - 150}{20} =\frac{150 - 90}{20} = 3

P(║ x -150 ║ \leq  3\times 20) \geq 1 -\frac{1}{3^2} = \frac{8}{9}

x - N(150, 20^2)

P(X \leq 170) = 0.8413447

check

P norm = \frac{170 - 150}{20}= 0.8413447

8 0
3 years ago
Can someone help me with this question please
Valentin [98]
It’s for sure B the formula for circumference is
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8 0
3 years ago
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