Point K is the midpoint of JL. If JK=7x+4 and KL=12x−21, what is the length of JL?

1 answer:

7 0

Since K is the midpoint of JL, it divides the segment JL into two equal halves.
That means ⇒ JK = KL
Substitute expressions for the parts ⇒ 7x + 4 = 12x - 21
Now solve the equation: 7x - 7x + 4 = 12x - 7x - 21
4 = 5x - 21
4 + 21 = 5x - 21 + 21
25 = 5x
5 = x
Substitute the value into one of the expressions: JK = 7(5) + 4 = 39
JL = JK + KL
JL = 39 + 39 = 78

You might be interested in

How many square feet of outdoor carpet will we need for this hole ?

mezya [45]

To start solving, separate this shape into 2 separate shapes. The dimensions of the smaller shape are 2 by 3 feet. The dimensions of the larger one are 3 by 11 feet. To find the area of an object, multiply its dimensions. Therefore, you multiply 2 by 3 and 3 by 11. You will get the products 6 and 33. Since we are still working within the same shape, however, you add the products together. You get 39. Therefore, 39 ft. squared is the answer.

6 0

2 years ago

Read 2 more answers

A cake is created by assembling two layers as shown in the diagram below. The exposed surfaces of the cake require frosting.

Hatshy [7]

Answer:

Step-by-step explanation:

352 is the answer

8 0

2 years ago

Question 7. identify the zeros of the graphed function A) -2,2 B)-2,0,2 C)-2 D)2

photoshop1234 [79]