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Zinaida [17]
1 year ago
5

M∠DFG=(2x+6)° and m∠EFG=(3x−11)°. Find the value of x.

Mathematics
1 answer:
BigorU [14]1 year ago
7 0

Answer:

x = 37

Step-by-step explanation:

A straight angle is 180 degrees. That means ∠DFG & ∠EFG have to add together to be 180.

2x + 6 + 3x - 11 = 180     Combine like terms

5x - 5 = 180                   Add 5 to both sides

5x = 185                         Divide by 5

x = 37

∠DFG = 80°

∠EFG = 100°

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Compare the two ratios is 6 : 15 less than 30 : 80 or greater than?
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Work:
6/15 = x/1
To get from 15 to 1, you have to divide by 15. So, to make an equal field, divide 6 by 15.

6 : 15 is the same as 2 : 5 or 0.4.

30/80 = x/1
To get from 80 to 1, you have to divide by 80. So, to make an equal field, divide 30 by 80.

30 : 80 is the same as 3 : 8 or .875.


Comparing the two, 30 : 80 is greater than 6 : 15.


Hope this helps. Have a good day.


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