Question

Please help

a. 6


b. 4


c. 8


d. 2

Answer 1

a

Explanation:

The base angles PHJ and PJH are congruent , meaning ΔaPHJ is isosceles and so

HP = JP, thus

3x - 6 = x + 2 ( subtract x from both sides )

2x - 6 = 2 ( add 6 to both sides )

2x = 8 ( divide both sides by 2 )

x = 4

Hence

HP = 3x - 6 = (3 × 4) - 6 = 12 - 6 = 6 → a