In the diagram below of triangle HIJ, K is the midpoint of H J and L is the midpoint of
IJ. If KL= -3.2 + 39, and
HI = 6x + 18, what is the measure of HI?

HI = 48 units

Step-by-step explanation:

By midpoint theorem,

"Line segment joining midpoints of two sides of a triangle measures the half of the third side of a triangle."

Since, KL is the segment joining midpoints of JH and JI,

-3x + 39 =

-3x + 39 = 3x + 9

6x = 30

x = 5

Therefore, HI =  6x + 18

                      = 6(5) + 18

                      = 30 + 18

                      = 48

mr. flanders’ class sold 47 doughnuts and   mr. rodriquez’s class sold 38 cartons of milk

step-by-step explanation:

let x be the number of doughnuts sold by mr. flanders’ class and y be the number of cartons sold by mr. rodriquez’s class.

1. together, the classes sold 85 items, then

x+y=85.

2. both classes earn earned $104.49 for their school. if doughnuts were sold for $1.35 each, then x doughnuts costed $1.35x. if cartons of milk were sold for $1.08 each, then y cartons costed $1.08y. hence,

1.35x+1.08y=104.49.

3. solve the system of two equations: