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11Alexandr11 [23.1K]
3 years ago
8

The 4 angles of heptagon equal and each of other 3 is 20° greater the first 4.Find the angles​

Mathematics
1 answer:
GenaCL600 [577]3 years ago
4 0

Answer:

interior angle of a heptagon = 900 degrees

900 = 4x + (3x + 60)

840 = 7x

840/7 = 120

X = 120

120 X 4 = 480

120 X 3 = 360

480 + 360 + 60 = 900

4 angles = 120 degrees each

3 angles = 140 degrees each

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3 years ago
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Answer:

Step-by-step explanation:

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7 0
3 years ago
Select whether each system of equations has no solution, one solution, or infinitely many solutions.
erik [133]

Answer:

one solution, no solution, infinitely many solutions

Step-by-step explanation:

I rearranged the first equation into x=6-2y

plug that into the second equation

2(6-2y)-3y=26

12-4y-3y=26

12-7y=26

-7y=14

y=-2

Then you plug that into one of the equations

x+2(-2)=6

x-4=6

x=10

The solution to the first system is (10,-2)

the second system already has one equation as something equal to a single variable so you just plug that into the other one

4x-2(2x-4)=-6

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this is a false statement so the system of equation has no solution

Lastly I rearranged the first equation into y=2x-4 and then plug that in

6x-3(2x-4)=12

6x-6x+12=12

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5 0
3 years ago
6(x-11). 5(x+11)<br> ——— = ————<br> 5. 6
jekas [21]

Answer:

3x2−363

Step-by-step explanation:

6 0
3 years ago
f the line passing through the points (1, a) and (5, −2) is parallel to the line passing through the points (2, 8) and (−5, a +
aleksandrvk [35]

Answer:

a=-6

Step-by-step explanation:

Line 1:  (1, a) and (5, −2)

slope of the   line is

slope = \frac{y_2-y_1}{x_2-x_1} =\frac{-2-a}{5-1} =\frac{-2-a}{4}

Line 2:  (2, 8) and (−5, a + 7)

slope of the   line is

slope = \frac{y_2-y_1}{x_2-x_1} =\frac{a+7-8}{-5-2} =\frac{a-1}{-7}

when the lines are parallel then slopes are equal

\frac{a-1}{-7} =\frac{-2-a}{4}

cross multiply it

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subtract 4a from both sides

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-18=+3a

divide both sides by 3

a=-6

7 0
4 years ago
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