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Lera25 [3.4K]
3 years ago
8

How did my teacher get 11 for #17

Mathematics
2 answers:
Rina8888 [55]3 years ago
7 0
Complementary angles mean that the sum adds up to 90 degrees.
We are given A and B are complementary, so
angle A + angle B = 90  (as stated in the solution).
Substituting angles, =>
3x-8 + 5x+10 = 90
group like terms
3x + 5x -8 +10 =90
simplify
8x + 2 =90
Subtract 2 from each side of the equal sign
8x +2 -2  =  90 -2
=>
8x = 88
divide by 8 on both sides
8x/8 = 88/8
x = 11

Substitute x=11 into angles A and B
angle A = 3x-8 = 3(11)-8 = 25 degrees
angle B = 5x+10 = 5(11)+10 = 65 degrees

Check supplementary angles
A+B = 25+65 = 90   => angles A & B are complementary, .... solution is good.
wel3 years ago
5 0
Complementary angles ⇒ the angles add up to 90°

∠A and ∠B are complementary ⇒ ∠A + ∠B = 90°

∠A + ∠B = 90°

Plug in the values for ∠A and ∠B:
(3x - 8) + (5x + 10)  = 90

Open the brackets:
3x - 8 + 5x + 10 = 90

Combine like terms:
8x + 2 = 90

Subtract 2 from both sides:
8x = 88

Divide both sides by 8:
x = 11

Answer: x = 11
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As an incoming college freshman, Tina received a 10-year $9,900 Federal Direct
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The amount charged on the loan which is the loan interest rate, increases as the time after the initial amount is credited into the account increases.

  • The interest on the Federal Direct Unsubsidized Loan after 4 years 6 months is <u>$1,911.195</u>

Reasons:

The given parameter are;

Loan amount, the principal, P = $9,900

Duration of the loan = 10 years

Loan interest rate, R = 4.29%

Required:

The amount of interest that will accrue while she is still in school and over the 6-months grace period for the freshman loan.

Solution:

Based on a similar question on an online source, we have;

Interest, I = P × R × T

Where;

T = The time = The time the freshman is in school + 6 months

Therefore, normally, we have;

T = 4 years + 6 months = 4.5 years

R = 4.29% = 0.0429

Therefore;

Interest, I = 9,900 × 0.0429 × 4.5 = 1911.195

The interest that will accrue while she is still in school and over the 6-months grace period for the loan,<em> I</em> = <u>$1,911.195</u>

Learn more about the interest rate here:

brainly.com/question/1368015

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On the weekend, I spent 6 3/5 hours reading and 1 1/4 hours at the gym. How much less time did I spend at the gym then reading?
Georgia [21]
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3 years ago
A copy machine makes 36 copies per minute. How long does it take to make 117 copies
tensa zangetsu [6.8K]

Answer:

3.25 minutes

Step-by-step explanation:

117 ÷ 36 = 117

4 0
3 years ago
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How do I solve 13.65=h+4.88 it’s stupid I know but I need help!!
murzikaleks [220]

Answer:

8.77

Step-by-step explanation:

13.65 - 4.88 = 8.77

8.77 = h

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3 years ago
NEED HELP ASAP !!!!!
Gwar [14]

Answer:

0

Step-by-step explanation:

It would have zero because the circle and line never interesect the x-axis together.

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3 years ago
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