Question

Quadrilateral CAMP below is a rhombus. The length of PQ is (x + 2) units, and the length of QA is

(3x - 14) units.
x
+
2
3x - 14
Which statement best explains why the equation
x + 2 = 3x - 14 can be used to solve for x?

Answer 1

Answer: It’s 20 because x=8 and u just plug it in to the equation and since both of the parts are equal you add them (10+10) which gives you 20

Explanation:

Answer 2

Q cuts the diagonal PA into 2 equal halves, since the diagonals of rhombus meet at right angles.

Explanation:

As given by the statement in the problem,

Q may be the middle point, which cut the diagonal PA into 2 equal halves.

In rhombus, diagonals meet at right angles.

which means that PQ = QA

x+2 = 3x - 14

Grouping the terms, we will get,

3x -x = 14+ 2

2x = 16

dividing by 2 on both sides, we will get,

x = 16/2 = 8

8+2 = 3(8) - 14 = 10 = PQ or QA