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katovenus [111]
3 years ago
11

Find the measure of an angle that is 8 degrees less than 3 time its supplement

Mathematics
1 answer:
Pavel [41]3 years ago
6 0

Answer:

133°

Step-by-step explanation:

If the angle is "x"

We can say:

Complement of the angle is 90 - x

Supplement of the angle is 180 - x

Given, ANGLE IS 8 less than 3 times its SUPPLEMENT, so we can write:

x = 3(180 - x) - 8

So, now multiply and solve for x:

x = 3(180 - x) - 8\\x=540-3x-8\\x=532-3x\\4x=532\\x=133

Thus, the angle is 133 degrees

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Afina-wow [57]

Answer:

B

Step-by-step explanation:

The amortization period in months is:

30 years * 12 = 360 months

The monthly interest rate would be 5.25%/12 = 0.004375

The payment for monthly mortgage formula would be:

E=\frac{C*r}{1-(1+r)^{-n}}

Where

E is the monthly mortgage payment

C is the cost of mortgage, cost is $150,000

r is the monthly rate of interest, which is 0.004375

n is the period, in months, which is 360

Substituting, we get our answer:

E=\frac{C*r}{1-(1+r)^{-n}}\\E=\frac{150,000*0.004375}{1-(1+0.004375)^{-360}}\\E=\frac{656.25}{1-(1.004375)^{-360}}\\E=\frac{656.25}{0.7923}\\E=828.31

So, the correct answer is B

3 0
3 years ago
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dexar [7]

Answer:

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Step-by-step explanation:

6/7x=-18

divide both sides by 6/7

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x= -21

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8 0
3 years ago
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Step-by-step explanation:

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3 years ago
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marissa [1.9K]

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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