nataliecooper3589 nataliecooper3589
  • 21-08-2019
  • Mathematics
contestada

Point Y is the midpoint of segment XZ. If XY = 2(3x +1) and YZ = 5x – 22, find the value of x.

Respuesta :

kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 01-09-2019

Answer:

[tex]x=-24[/tex]

Step-by-step explanation:

If Y is the midpoint of segment XZ, then [tex]XY=YZ[/tex].

In terms of x, XY = 2(3x +1) and and YZ = 5x – 22.

This implies that:

[tex]2(3x+1)=5x-22[/tex]

Expand the parenthesis

[tex]6x+2=5x-22[/tex]

Group similar terms to get:

[tex]6x-5x=-22-2[/tex]

[tex]x=-24[/tex]

Answer Link

Otras preguntas

Emilie draws a circle with a diameter of 10 inches. Ethan draws a circle with a diameter that is half as long as the diameter of Emilie’s circle. How will the c
please help Evaluate the expression 52 + 2x when x = 5. Choose the phrase below that describes the resulting number. A. A prime number B. A composite numb
What was different about how people lived in the north at the beginning of the war and those that lived in the south at the same time?
Which statement describes how favorable traits in a population relate to natural selection? They are the only traits that ever exist in the population. They bui
What the hell is 1 plus 1
when did chris jerico apper on the wwe scenes
A scoop of ice cream, shaped like a sphere with diameter 6 cm, isplaced in an ice cream cone with diameter 5 cm and height 9 cm.Is the cone big enough to hold
Why was nuremberg selected as the site For war crime trials after world war 2
How distant learning has affected you.
In the Angle Measures of Polygons section, n represents __________. *