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Burka [1]
2 years ago
6

If m1=2x° and m3=3x° what is m1

Mathematics
1 answer:
olga_2 [115]2 years ago
5 0

Answer:

36

Step-by-step explanation:

Using the angle addition postulate

angle 1+angle 2+angle 3=180

Angle 2 is 90 degrees,

Angle 1 is 2x degrees

Angle 3 is 3x degrees

Plug this into equation

2x + 90 +  3x = 180

5x + 90 = 180

5x = 90

x = 18

Plug 18 into 2x

2(18) = 36

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HELP ME Using the following equation, complete the square and find the center and radius of the circle:
IrinaK [193]

Answer: (-2,3), r=5\ \text{units}

Step-by-step explanation:

Given

the equation is x^2+y^2+4x-6y-12=0

completing the square

\Rightarrow (x^2+2\times 2\times x+4-4)+(y^2-2\times3\times y+9-9)-12=0\\\Rightarrow (x^2+2\times 2\times x+4)+(y^2-2\times3\times y+9)-12-4-9=0\\\Rightarrow (x+2)^2+(y-3)^2=25\\\Rightarrow (x+2)^2+(y-3)^2=5^2\\\Rightarrow (x-(-2))^2+(y-3)^2=5^2

Thus, the center of the circle is (-2,3) and radius is r=5\ \text{units}

5 0
3 years ago
Tim purchases 3,000 shares in company X at $2.49 per share. The company subsequently announces a profit warning, and the share p
anygoal [31]

Answer:

  $750

Step-by-step explanation:

Tim's share price changes by $2.24 -2.49 = -0.25, so the change in the value of his investment is ...

  (3000 shares)(-0.25/share) = -$750

Tim takes a loss of $750 when he sells.

3 0
3 years ago
Round 10.95 to the nearest tenth
Serhud [2]

Hi there! To round 10.95 to the nearest tenth, we find the number in the tenth place, which is 9 and look one place to the right. Round up if the number is greater than 5 or equal to 5 and round down if its less than 5.

The answer is 11.0 or just 11.

<em>Ed: Explanation below.</em>

<em />

11.00

10.99

10.98

10.97

10.96

10.95 Look at the 9. Then look to the right. Do I round up or down?

10.94

10.93

10.92

10.91

10.90

If the number is greater or equal to 5, you round up. If the number is smaller than 5, you round down. 9 is greater than 5, so we round up.

Therefore, the answer is 11.

5 0
2 years ago
You decide to create a business selling handmade
DerKrebs [107]

Answer:

$16.40

Step-by-step explanation:

6 0
3 years ago
Carrie had $60. as an allowance for the week. She spent 2/5 of it on snacks, and 1/4 on stickets and saved the remainder. How mu
anastassius [24]

Answer:

$ 21

Step-by-step explanation:

Money spent = (2/5) * 60 + (1/4) * 60

                      = 2*12 + 1*15

                      = 24 + 15

                      = $ 39

Money save = 60 - 39 = $ 21

3 0
2 years ago
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