Question

If HE = 3p + 7, /, LP = 5p – 19, and /, find the values of p and q for which quadrilateral HELP is a parallelogram. A. p = 18, q = 13 B. p = 13, q = 8 C. p = 8, q = 18 D. p = 13, q = 1

Answer 1

Which quadrilateral HELP is a parallelogram? The corrsect answer is P=13, q=18

Answer 2

A parallelogram is a quadrilateral with 2 pairs of equal parallel sides. Since we are given only with sides that have the variable p in them, HE and LP, we determine the value of p by equating the expressions.

HE = LP : 3p + 7 = 5p - 19

Solving for the value of p
3p - 5p = -19 - 7
-2p = -26
p = 13

We determined the value of p, the answer is either B or D.