Question

PLEASE PLEASE HELP ILL MARK AS BRANLIEST

Answer 1

Answer:

• $x=7$

• The length of MN = 13

• The length of NO = 13

• The length of OM = 13

Step-by-step explanation:

As the given triangle is equilateral as all the sides of the triangle are equal.

$MN = 3x-8$

$NO=2x-1$

$OM=5x-22$

As all the sides are equal, i.e.

$MN=NO=OM$

as

$MN=NO$

$3x-8=2x-1$

Add 8 to both sides

$3x-8+8=2x-1+8$

$3x=2x+7$

$x=7$

Hence, the value of x = 7

so putting the value of x to determine the lengths of the

segments MN, NO, and MO

$MN = 3x - 8$

       $= 3(7)-8$

       $=21-8$

       $=13$

Hence, the length of MN = 13

$NO = 2x-1$

       $=2(7)-1$

       $=14-1$

       $=13$

Hence, the length of NO = 13

$OM = 5x-22$

      $= 5(7)-22$

      $= 35-22$

      $=13$

Hence, the length of OM = 13