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just olya [345]
3 years ago
8

A. Find the measure of m<1 B. Find the measure of m<1 ;m<2; m<3

Mathematics
1 answer:
natita [175]3 years ago
3 0

Answer:

A: m<1 = 79 degrees

B: m<1 = 61 degrees, m<2 = 151 degrees, m<3 = 12 degrees

Step-by-step explanation:

A: An exterior angle is equal to the sum of the two opposite interior angles. 27+52 in this case.

B: The sum of the measures of the interior angles in a triangle is 180 degrees.

Since we know the two angles in the right trinagle are 90 and 29 degrees, we add them and subract the sum from 180 which gives us 61 degrees.

Applying what we know from part A, 61 degrees+90 degrees = m<2.

And, since we know m<2 = 151 degrees, we add that and the 17 degrees to then subtract that sum from 180 to get the measure of angle 3 which is 12 degrees.

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You are paid $82.50 for 7 1/2 hours of work, whats is your rate of pay?
ra1l [238]

Answer:

Rate of Pay is $11 per hour.

Step-by-step explanation:

Cost of 7\frac{1}{2}\:hr of work = $ 82.50

To find: Rate of pay

Here Rate of Pay means Cost of 1 hour of work or we can say cost of per hour work.

7\frac{1}{2}=\frac{7\times2+1}{2}=\frac{15}{2}

⇒ Cost of \frac{15}{2}\;hr of work = $ 82.50

Cost of 1 hr of work = \frac{82.50}{\frac{15}{2}}

                                = \frac{82.50\times2}{15}

                                = \frac{165}{15}

                                = $ 11

Therefore, Rate of Pay is $11 per hour.

5 0
4 years ago
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COLOR THEME Q ZOOM 1. The ratio of boys to girls at a dance was 9 to 5. How many girls were at the dance if there were 72 boys a
BabaBlast [244]

Answer:

72 boys=72:40

45 girls=81:45

90 girls=162:90

40 girls=72:40

etc.

Step-by-step explanation:

think of it as fractions

3 0
3 years ago
The ratio of blue marbles to white marbles Simran's bag is equal to 1 to 2. If there are 20 blue marbles how many white marbles
Nastasia [14]
There are 40 white marbles.
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What is the volume of the following rectangular prism?
sergij07 [2.7K]

Answer:

33 cubic unit

Step-by-step explanation:

Volume of the prism = base area * height

                                  = 9 * 3 2/3            {Change improper to proper fraction}

                                  = 9*\frac{11}{3}\\\\= 3* 11\\\\= 33 unit^{3}

8 0
3 years ago
The length of a rectangular book is 2 times its width. The perimeter of the book is 42 inches. Write a system of
wel

Answer:

Mark me as brainlist

Step-by-step explanation:

P = Perimeter            

L = Length          

W = Width

Perimeter of rectangle = L + L + W + W        

or P = 2L + 2W

You know:

P = 36 inches

L = 2W          [length is(=) 2 times it's width]

W = ?

P = 2L + 2W    

Substitute/plug in what you know, plug in 2W for L since L = 2W

36 = 2(2W) + 2W         Simplify

36 = 4W + 2W

36 = 6W        Divide 6 on both sides

6 = W              Now that you know the width, you can find the length:

L = 2W

L = 2(6)

L = 12

L = 12 in

W = 6 in

PROOF

P = 2(12) + 2(6)

P = 24 + 12

P = 36

7 0
3 years ago
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