Answer:
x = 4
JM ≅ MN = 3
JN = 2
Step-by-step explanation:
In an isosceles triangle, two of the sides are equal. Given the lengths of sides of triangle JMN as JM, MN, and JN where JM ≅ MN
Given
JM = 2x - 5
MN = 3x -9, and
JN = x - 2.
Since JM≅ MN then;
2x - 5 = 3x-9
Collect like terms;
2x-3x = -9+5
-x = -4
multiply both sides ny -1;
-(-x) = -(-4)
x = 4
For side JM;
JM = 2x-5
JM = 2(4)-5
JM = 8-5
JM = 3
Since JM ≅ side MN, hence;
MN = 3
For side JN;
JN = x-2
JN = 4-2
JN = 2
