Answer:
50
Step-by-step explanation:
The sum of the angles of a triangle add to 180 degrees
A + B + C = 180
2x-10 + 70+ x+30 = 180
Combine like terms
3x +90 = 180
Subtract 90 from each side
3x+90-90=180-90
3x= 90
Divide by 3
3x/3= 90/3
x=30
We want to find angle A
A = 2x-10
=2*30 -10
=60-10
50
The greatest common factor of 20 and 30 is 10. This is because 10 is the largest number that when it is used to divide 20 or 30, it equals a whole number.
The simple way for us to solve is to write down the factors of both numbers, find the factors that match for both numbers, and see which is the largest out of those that match.
20: <u>1</u>,<u>2</u>,4,<u>5</u>,<u>10</u>,20
30: <u>1</u>,<u>2</u>,3,<u>5</u>,6,<u>10</u>,15,30
Using that logic, we can see that 10 is the greatest factor that the numbers share.
BC = 6 km
<u>/</u><u> </u> ACB = 34°
AC = ?
cos 34° = 
=> 0.829 = 
=> AC = 
=> AC = 7.23763570567
=> AC = 7 km
=> AC = 10 km
(nearest tenth)

<h3>Answer : 10 km</h3>

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They are equivalent. combine like terms on the first one and 9x-4x+25 can be simplified to 5x+25.