The sum of two numbers is 27. the larger number is 6 more than twice the smaller number. what are the numbers?

Let the smaller number be x

Then the sum is

(6 + 2x) + x = 27

We now find for x

2x + x + 6 = 27

3x + 6 = 27

3x = 27-6

3x = 21

x = 21/3

x = 7

Therefore the smaller number is 7

The larger number is (2×7) + 6 = 20

c. prove the lengths are the same.

step-by-step explanation:

you need to prove the segments are congruent. congruent segments have the same length. find the lengths of the segments using the distance formula, and compare them.

answer: c. prove the lengths are the same.