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

Mathematics

2 answers:

ZanzabumX [31]2 years ago

7 0

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

KR:-

yanalaym [24]2 years ago

5 0

Answer:

KR = 9

Step-by-step 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

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