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SOMEONE HELP ME PLEASE

SOMEONE HELP ME PLEASE class=

Sagot :

sqdancefan

9514 1404 393

Answer:

  XY = 11

Step-by-step 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

Sarah06109

Answer:

[tex]\boxed {\boxed {\sf XY= 11}}[/tex]

Step-by-step 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.

[tex]XY= YZ[/tex]

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

[tex]3x+2=x+8[/tex]

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.

[tex](3x-x) +2 = (x-x)+8[/tex]

[tex]2x+2=8[/tex]

Subtract 2 from both sides of the equation.

[tex]2x+(2-2)= (8-2)[/tex]

[tex]2x=6[/tex]

Divide both sides of the equation by 2.

[tex]2x/2= 6/2[/tex]

[tex]x= 6/2 \\x=3[/tex]

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

[tex]XY= 3x+2 \\XY=3(3) +2\\XY=9+2 \\XY=11[/tex]

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