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aev [14]
2 years ago
12

The sum of two angle measures 130 degrees. The difference in the two angle measures is 12 degrees. What are the two angle measur

es ?
Mathematics
1 answer:
san4es73 [151]2 years ago
5 0

Answer:

  59°, 71°

Step-by-step explanation:

This is a "sum and difference" problem. All problems of this type have the same answer: the larger of the two numbers is the average of those given.

Then the larger angle is (130 +12)°/2 = 71°. The smaller is 71° -12° = 59°.

_____

<em>More detailed solution</em>

There are several ways to get there using equations. You can, for example, let L represent the larger number. Then L - D will be the smaller one (where D represent the difference). The sum of the two numbers (S) is ...

  L + (L -D) = S

  2L = S + D . . . . collect terms, add D

  L = (S+D)/2 . . . the larger number is the average of the sum and difference

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Answer:

Following are the solution to this question:

Step-by-step explanation:

Using formula:

\text{Simple Interest} = \frac{P \times R \times T}{100} \\\\\text{ Total amount} = \text{principle}+  \text{Simple Interest}

In question (1):

Principle= \$ 600\\Rate = \ 8 \%\\Time= \ 5

In point a:

\to \frac{P \times R \times T}{100} \\\\\to \frac{(600 \times  8 \times 5)}{100}\\\\ \to  240

In point b:

\to amount = principle \ +\ simple \ interest

                 = 600 + 240 \\\\= 840

In question (2):

Principle= \$ 12,450\\Rate = \ 7.25 \%\\Time= \ 6

In point a:

\to \frac{P \times R \times T}{100} \\\\\to \frac{(12,450 \times  7.25 \times 6)}{100}\\\\ \to  5,415.75

In point b:

\to amount = principle \ +\ simple \ interest

                 = 12,450 + 5,415.75 \\\\= 17,865.75

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