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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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Answer:

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-40/7+8-23/7

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A plot of grass behind a building is shown.
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What is the inverse of the function shown?
Umnica [9.8K]

Answer:

The inverse is y = x + 5

Step-by-step explanation:

The general equation of a straight line is;

y = mx + c

In this case , the y-intercept is -5

So the partial equation is;

y = mx - 5

To get m, we use the x-intercept

The x-intercept coordinate is (5,0)

Insert this in the equation , we have;

0 = 5m-5

5m = 5

m = 5/5

m= 1

The equation of the line is thus;

y = x-5

So we want to find the inverse of this;

Replace x with d

y = d-5

Make d the subject of the formula

d = y + 5

replace d with x

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now replace x with y

So we have

y = x + 5

6 0
3 years ago
In 2010, the number of houses built in Town A was 25 percent greater than the number of houses built in Town B. If 70 houses wer
Stella [2.4K]

Answer:

The number of houses built in Town B is 56.

Step-by-step explanation:

We are given that in 2010, the number of houses built in Town A was 25 percent greater than the number of houses built in Town B.

Also, 70 houses were built in Town A during 210.

Let the number of houses built in Town B be 'x'.

So, according to the question;

Number of houses built in Town A = Number of houses built in Town B + 25% of the houses built in Town B

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70 = x(1+0.25)

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x = 56

Hence, the number of houses built in Town B is 56.

8 0
3 years ago
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