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

Step-by-step explanation:

Let's say the numbers are x and y, and y is larger than x.

x + y = 27

y = 6 + 2x

Substitute:

x + (6 + 2x) = 27

3x + 6 = 27

3x = 21

x = 7

So x = 7 and y = 20.

step-by-step explanation:

it's 15

b) k’(6, 4); l’(3, 3)

step-by-step explanation:

a 270° clockwise rotation maps every point (x, y) to (y, -x). (it negates the x-coordinate and then switches it and the y-coordinate.)

this means the endpoints of the side congruent to kl, k' and l', would be mapped as:

k'(-4, 6)→(6, 4)

l'(-3, 3)→(3, 3)