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Kobotan [32]
3 years ago
15

Each exterior angle of a regular decagon has a measure of (3x + 6)". What is the value of x?

Mathematics
2 answers:
Oxana [17]3 years ago
7 0

Answer:

B = 10

Step-by-step explanation:

Just took test edg 2020

dedylja [7]3 years ago
4 0

Answer:10

Step-by-step explanation:

Each exterior angle is (3x + 6)°

A decagon has 10 sides

Each exterior angle=360/n

n=number of sides

3x+6=360/10

Cross multiply

10(3x + 6)=360

30x+60=360

Collect like terms

30x=360-60

30x=300

Divide both sides by 30

30x/30=300/30

x=10

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Find attached a graph that I constructed.

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kari74 [83]
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Licemer1 [7]

Answer:

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jarptica [38.1K]

Answer:

1. 8

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2 years ago
A little difficult question for me, it is multiple choice answer but my teacher taught this before the break. If anyone could he
Sever21 [200]
<h3>Answer: Choice D</h3>

Divide both sides of the first equation by 7, then add the result to the second equation

=======================================================

Explanation:

We can multiply both sides of an equation by the same number and the equation will be equivalent to the original.

For example, if we had  x = 5, then we could get 2x = 10 after multiplying both sides by 2. The reason they are equivalent equations is because the same x value is the solution for both equations.

We can also divide both sides of an equation by the same number and the two equations would be equivalent. We can go from 2x = 10 back to x = 5 when we divide both sides by 2.

----------

If we divide both sides of 7x - 21y = 14 by 7, then we end up with x - 3y = 2. Simply divide each term (7x,  -21y, and 14) by 7.

Because 7x-21y=14 and x-3y=2 are equivalent, this means we can replace the "7x-21y=14" with "x-3y=2"

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The new system would be

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From here you add straight down. Doing so will have the y terms add to -3y+3y = 0y = 0. After this point the y terms are eliminated and you can solve for x just like with any other equation of one variable.

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