In the diagram JL = 120, What are JK and KL? Explain how you found your answer.

JK = 42

KL = 78

Step-by-step explanation:

To find the lengths of JK and KL, we need to first find the value of x. We know that the length of the entire line is 120. That means we need to add the lengths of JK and JL and set it equal to 120.

4x+6+7x+15 = 120

Combine like terms.

11x+21 =120

Subtract 21 from each side.

11x= 99

Divide both sides by 11.

x=9

Now that we know the value of x, we simply plug it into the equations to find out the lengths of each line segment.

JK = 4x+6

4(9)+6 (x is plugged in)

36+6 = 42

JK=42

Now lets do KL.

7x+15

7(9)+15

63+15 = 78

KL = 78  

here is a big fat

third choice down

step-by-step explanation:

the first inequality is based on the number of adults and campers, and the second inequality is based on the cost of feeding both the adult and the camper.

we know that there is room for 525 people max.   it's ok to have less than 525, but it's not ok to have more than 525, so the inequality is less than or equal to.   the number combination of adults (x) and campers (y) cannot exceed this 525 max.   therefore:

x + y ≤ 525

now we talk about cost.   it costs $9 to feed one adult, so depending upon the number of adults you have (x) depends upon how much it will cost to feed that number of adults.   same with the campers, who cost $5 to feed.   the adults can be represented by 9x and the campers can be represented by 5y.   since the budget cannot exceed 1,200, the second inequality is:

9x + 5y ≤ 1200