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lianna [129]
3 years ago
14

(Please answer quickly. Explain how you got your answer for better understanding.)

Mathematics
2 answers:
Soloha48 [4]3 years ago
8 0

《ANSWER》

《EXTERIOR ANGLE THEOREM》

Acoording to the exterior angle thereom we know that

The sum of the co-interior opposite angles is equal to the Exterior Angle, so applying it we get as

90° + 25° = 115°

Thus the major angle p = 115°

kramer3 years ago
8 0

Answer:

C

Step-by-step explanation:

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

∠p is an exterior angle and angles 90 and 25 are the opposite interior angles, thus

∠p = 90° + 25° = 115° → B

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Answer:

A (1,-2) B(10,1) C(6,2)

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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3 years ago
Read 2 more answers
Niki makes the same payment every two months to pay off his $61,600 loan. The loan has an interest rate of 9. 84%, compounded ev
elena-14-01-66 [18.8K]

Niki pays $39,467 interest will he have paid in total.

Given that,

Niki makes the same payment every two months to pay off his $61,600 loan.

The loan has an interest rate of 9.84%, compounded every two months.

If Niki pays off his loan after exactly eleven years.

We have to determine,

How much interest will he have paid in total?

According to the question,

The total interest will be paid is determined by,

\rm PV = \dfrac{P\left(1 - (1 + \dfrac{r}{t})^{-nt}\right) }{ \dfrac{r}{t}}

Where, PV = $61,600,  r = interest rate = 9.84% = 0.0984;

t = number of payments in a year = 6; n = number of years = 11 years and P is the periodic payment.

Substitute all the values in the formula;

\rm PV = \dfrac{P\left(1 - (1 + \dfrac{r}{t})^{-nt}\right) }{ \dfrac{r}{t}}\\\\\rm 61600 = \dfrac{P\left(1 - (1 + \dfrac{0.0984}{6})^{-11 \times 6}\right) }{ \dfrac{0.0986}{6}}\\\\61600 = \dfrac{P\left(1 - (1 + {0.0164})\right^{-66} }{0.0164}\\\\61600 = \dfrac{P\left(1 - (1.01640))^{-66}}{0.0164}\\\\ 61600 \times 0.0164 = P (1-0.341769)\\\\1010.24 = 0.658231P\\\\P = \dfrac{1010.24}{0.6582}\\\\P = 1534.78

Therefore,

Niki pays $1,534.78 every two months for eleven years,

The total payment made by Niki = 11 x 6 x 1,534.78 = $101,295.48

Therefore, interest paid by Niki = $101,295.48 - $61,600 = $39,695.48.

Hence, Niki pays $39,467 interest will he have paid in total.

For more details about Interest rates refer to the link given below.

brainly.com/question/10302432

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2 years ago
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