Answer:
c = 15/2
Step-by-step explanation:
Multiply both sides of the equation by 9, then reduce the fraction.
9(5/6) = c
15/2 = c
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<em>Alternate methods</em>
You are usually told to "cross-multiply" which means you multiply the expression by the product of the denominators. this would give you ...
9(5) = 6(c)
Then you would divide by the coefficient of c to get ...
(9·5)/6 = c = 15/2
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Since c is multiplied by 1/9, you can solve this by multiplying by the inverse of that coefficient, 9. That is what is done in the first section above. Usually, this does in one step what the "cross-multiply" method does in 2 steps.
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The "cross multiply" step can also be done by multiplying by the least common multiple of the denominators, 18. Then you have ...
18(5/6) = 18(c/9)
15 = 2c
Now, dividing by the coefficient of c gives ...
15/2 = c
So the distance formula is
. Using this, our equation is
and we can solve for it as such:

As we see with this radical, the sum that's under it is 15^2 + 8^2, or the third option.
Answer:
A,D
Step-by-step explanation:
5x4x6=120
10x3x4=120
Angles x, y, and z are 5s.
Angle x is a vertical angle to 5s, angles x and y are alternate interior angles so y is also 5s. And z is an alternate exterior angle to angle y.
I can't really figure out the number value of 5s with the given information.