Find the ratio a:b, if it is given that:

6: 1

Step-by-step explanation:

Cross multiply:

2(a -2b)= a +2b

Expand:

2a -4b= a +2b

Bring all the a terms to 1 side, b terms to the other:

2a -a= 4b +2b

Simplify:

a= 6b

Divide by b on both sides:

Thus, the ratio a: b= 6: 1.

step-by-step explanation:

no, her answer is not correct.   we square the lengths of all sides and then determine whether the pythagorean theorem holds here:

9² + 15² = 306.   this is not equal to the square of the longest side ( that square being 395.   answer c is correct.

second option

step-by-step explanation:

the measures of a triangle equal 180. use that to find x.

2x+3x+4x=180

9x=180

9x/9=180/9

x=20

now you know x, you know angle a is 40°, angle b is 60°, angle c is 80°.

because angle a is 40°, the first option doesn't work.

because angle b is 60°, the second option does work.

when you add angle a and b, you get 100°. complementary means it equals 90°, so the third option doesn't work.

when you add angle a and c, you get 120°, which is not 100.