The sum of two numbers is 65 and the difference is 13.what are the numbers?

26 and 39

Step-by-step explanation:

Let the numbers be x and y . Also , let us take x as the larger number.

From the first statement :

x + y = 65 equation 1

From the second statement :

x - y = 13 equation 2

Solving the system of linear equation by elimination method. Let us eliminate y first , then we need to add the two equations to eliminate y , the equation then becomes

2x = 78

x =39

substitute x = 39 into equation 1 , that is

39 + y = 65

y = 65 - 39

y = 26

Therefore , the numbers are 26 and 39

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)