Question

SOMEONE HELP ME PLEASE

Answer 1

`\boxed {\boxed {\sf XY= 11}}`

Explanation:

We are asked to find the value of XY.

We know that Y is the midpoint of XZ. The midpoint of a line bisects the line or divides it into 2 equal parts. The point Y divides the line XZ into 2 parts : XY and YZ. Since Y is the midpoint, XY and YZ are equal.

`XY= YZ`

We know that XY is equal to 3x+2 and YZ is equal to x+8.

`3x+2=x+8`

Now we can solve for x by isolating the variable. Move all the terms with variables to one side and the constants to the other side. Subtract x from both sides of the equation.

`(3x-x) +2 = (x-x)+8`

`2x+2=8`

Subtract 2 from both sides of the equation.

`2x+(2-2)= (8-2)`

`2x=6`

Divide both sides of the equation by 2.

`2x/2= 6/2`

`x= 6/2 \\x=3`

Now we know that x is equal to 3 and we can substitute it back into 3x+2 to solve for XY.

`XY= 3x+2 \\XY=3(3) +2\\XY=9+2 \\XY=11`

Answer 2

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Answer:

XY = 11

Explanation:

XY = YZ

3x +2 = x +8

2x = 6 . . . . . . . . . subtract x+2

x = 3

XY = 3 +8 . . . . . . . . x +8 is the same as 3x+2

XY = 11