Answered

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

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Semsee45id

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
  • 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
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