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3 years ago

<1 and <2 are complementary. Solve for the measure of <1.

Mathematics

1 answer:

Anon25 [30]3 years ago

3 0

Answer:

A) 52

Step-by-step explanation:

If < 1 and < 2 are complementary angles, then it means that the sum of their measures add up to 90°.

< 1 + < 2 = 90°

12x + 4 + 9x + 2 = 90°

21x + 6 = 90°

21x + 6 - 6 = 90° - 6

21x = 84°

21x/21 = 84°/21

x = 4

Substitute the value of x = 4 into < 1 and < 2:

m < 1: 12x + 4 = 12(4) + 4 = 52°

m < 2: 9x + 2 = 9(4) + 2 = 38°

Therefore, the correct answer is A) m < 1 = 52°.

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Find the slope,<br> (5,0) and (0.-7)

Agata [3.3K]

Answer:

$\frac{-7}{-5}$

-7/-5

is the slope.

or -1 -2/-2

you pick.

Step-by-step explanation:

Δy/Δx

-7-0 / 0-5

-7 / -5

-7/-5

is the slope.

change in y over change in x

y2-y1 over x2-x1

simplify if possible.

-1 -2/-2

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3 years ago

Read 2 more answers

{20, 25, 19, 18, 21, 24, 15, 25} What is the mean of the data set? Make sure to show ALL of your work

katrin [286]

Answer:

20.875

Step-by-step explanation:

Mean is to add up the scores then divide by the number so 20 + 25 + 19 + 18 + 21 + 24 + 15 + 25 which is 167 then divide by 8 which is 20.875

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3 years ago

A bag contains 43 U.S. quarters and seven Canadian quarters. (The coins are identical in size.) If six quarters are randomly pic

Marrrta [24]

Answer:

0.616

Step-by-step explanation:

The number of Us quarters is 43 while the number of Canadian quarters is 7.

The number of quarters we are to pick is 6

Mathematically, the probability of getting at least one Canadian quarter = 1 - probability of getting no Canadian quarter

This means we have to calculate the probability of getting no Canadian quarter first.

The total number of possible outcomes is 50C6 = 15,890,700

If we are to get all to be US quarters, that means we are getting exactly 6 out of 43 = 43C6 = 6,096,454

Hence, probability of no Canadian quarters is 6,096,454/15,890,700 = 0.384

The probability of at least 1 Canadian quarters is thus 1-0.384 = 0.616

6 0

3 years ago

How do you know that substitution give a you the answer to a system of equations

Gwar [14]

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4 years ago

The perimeter of the cover of a math textbook is 34 inches. if the width of the cover is 7 inches, what is the length of the cov

Sauron [17]

The length would be 10 inches.
to find perimeter, you add length+length+width+width.
since both widths and both lengths have to be the same, u add the width 2 times or 7+7=14.
next u subtract 14 from 34 or 34-14=20.
since u still have 2 lengths that are equal, u divide 20 by 2 or 20/2=10

hope this helps! :)

7 0

3 years ago