Answer:
18x - 8
Step-by-step explanation:
We are not given a total so we can just simplify the 4 sides
3x + 7 + 3x + 7 + 6x -11 + 6x -11 Combine like terms
18x -8
Answer:
x = 6
Step-by-step explanation:
Vertices of a rectangle are normally listed so that adjacent vertices are connected by edges. Therefore, the edges of rectangle HIJK are HI, IJ, JK and KH.
As the opposite sides of a rectangle are congruent:
Therefore, to find the value of x, set the given expressions for HI and JK equal to each other and solve for x:
[tex]\implies \sf HI=JK[/tex]
[tex]\implies 3x+7=6x-11[/tex]
[tex]\implies 3x+7-7=6x-11-7[/tex]
[tex]\implies 3x=6x-18[/tex]
[tex]\implies 3x-6x=6x-18-6x[/tex]
[tex]\implies -3x=-18[/tex]
[tex]\implies -3x \div -3=-18 \div -3[/tex]
[tex]\implies x=6[/tex]
