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
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.
