Question

If K is the midpoint of ER, EK = z+5,and ER=4x+2,What is the length of K R?

Answer 1

• EK+KR=ER
• EK+EK=ER
• 2(EK)=ER
• 2(x+5)=4x+2
• 2x+10=4x+2
• -2x=-8
• x=4

KR:-

• x+5
• 4+5
• 9

Answer 2

KR = 9

Explanation:

If K is the midpoint of ER, then EK = KR and ER = 2(EK).

Given:

• ER = 4x + 2
• EK = x + 5

ER = 2(EK)

⇒ 4x + 2 = 2(x + 5)

⇒ 4x + 2 = 2x + 10

⇒ 2x + 2 = 10

⇒ 2x = 8

⇒ x = 4

As EK = KR and EK = x + 5 and x = 4:

⇒ KR = 4 + 5

⇒ KR = 9