Find the value of X for the triangle (Show all work, triangle and equations in picture)
Answer:
[tex]x=5[/tex]
Step-by-step explanation:
The perimeter of a figure is the sum of all its sides.
The sides are x, (x+3), and (2x). The perimeter is 23, so the sum of the expression equates to 23. Thus:
[tex]x+(x+3)+(2x)=23[/tex]
Combine like terms:
[tex]4x+3=23[/tex]
Subtract 3 from both sides:
[tex]4x=20[/tex]
Divide both sides by 4:"
[tex]x=5[/tex]
And we're done!