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Korvikt [17]
3 years ago
8

Two angles are complementary. If on angle measures 71 degrees, what is the measure of the second angle

Mathematics
2 answers:
Diano4ka-milaya [45]3 years ago
7 0
39 degrees angle... :)
nekit [7.7K]3 years ago
7 0
A complementary angle adds up to 90° so 90-71=19° 

Hope this helps ;)

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What is the solution of the system? y=9x-2 y=7x+3
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The table below shows the height (in inches) and weight (in pounds)of eight basketball players.
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Step-by-step explanation:

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3 years ago
Tim must read 2 books from a list of 7 recommended books for his summer reading program. In how many different ways can Tim choo
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There are 21 ways Tim choose 2 books from the 7 recommended book

<em><u>Solution:</u></em>

Given that Tim must read 2 books from a list of 7 recommended books for his summer reading program

To find: different ways can Tim choose 2 books from the 7 recommended books

This is a combination problem

A combination is a selection of all or part of a set of objects, without regard to the order in which objects are selected

<em><u>The formula for combinations is:</u></em>

n C_{r}=\frac{n !}{r !(n-r) !}

where n represents the number of items, and r represents the number of items being chosen at a time

Here we have to choose 2 books from 7 books

Therefore, n = 7 and r = 2

<em><u>Substituting values in above formula, we get</u></em>

\begin{aligned}&7 C_{2}=\frac{7 !}{2 !(7-2) !}\\\\&7 C_{2}=\frac{7 !}{2 ! \times 5 !}\end{aligned}

For a number n, the factorial of n can be written as,

n !=n \times(n-1) \times(n-2) \dots \dots \times 2 \times 1

Therefore, we get

7 C_{2}=\frac{7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1}{2 \times 1 \times 5 \times 4 \times 3 \times 2 \times 1}\\\\7C_2 = 7 \times 3 = 21

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Step-by-step explanation:

2

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