Question

CJ = 2x – 1 and
JT = 82 – 43

Answer 1

CT = 10x-44

Explanation:

Since J is the midpoint you would set your equation up like this

• 2x-1+8x-43

Now you would add like terms

• 10x-44

Hope this helps!

Answer 2

The length of CT is 39 .

Since J is the midpoint of CT, we know that CJ = JT.

Therefore, we can set the two expressions for CJ and JT equal to each other and solve for x:

2x - 1 = 82 - 43

2x = 40

x = 20

Now that we know x = 20, we can plug it back into either expression for CJ or JT to find the length of CT.

Let's plug it into the expression for CJ:

CJ = 2(20) - 1

CJ = 39

Therefore, the length of CT is 39.

Solution:

Since J is the midpoint of CT, we know that CJ = JT.

Therefore, we can set the two expressions for CJ and JT equal to each other and solve for x:

2x - 1 = 82 - 43

2x = 40

x = 20

Now that we know x = 20, we can plug it back into either expression for CJ or JT to find the length of CT.

Let's plug it into the expression for CJ:

CJ = 2(20) - 1

CJ = 39