Question

Can someone do number 4 please. and show the work if you can

Answer 1

Explanation:

`\overline{CA} + \overline{AT} = \overline{CT}`

Since A is the midpoint, then
`\overline{CA} = \overline{AT}.` Therefore, we can write

`2x + 8 = 4x + 2 \Rightarrow x = 3`

Using this value for x, we can write

`\overline{CT} = \overline{CA} + \overline{AT}`

`\:\:\:\:\:\:\:\:= (2x + 8) + (4x + 2)`

`\:\:\:\:\:\:\:\:= 2(3) + 8 + 4(3) + 2 = 28`