Math, asked by sanu764, 3 months ago

In A ABC, points M and N lie on AB
and AC respectively and MN || BC. If
AM = x + 1. MB = x, AN = 3x - 3 and
NC = 4x - 10, find the value of x. 5​

Answers

Answered by amitsharma777222999
24

Step-by-step explanation:

MN is parallel to BC

AM/MB =AN/NC

x+1/x =3x-3/4x-10

(x+1)(4x-10)=x(3x-3)

4x^2-6x-10=3x^2-3x

x^2-3x-10=0

x^2-5x+2x-10=0

x(x-5)+2(x-5)=0

(x-5)(x+2)=0

x=5

Answered by heetmehta
4

Answer:

MN is parallel to BC

AM/MB =AN/NC

x+1/x =3x-3/4x-10

(x+1)(4x-10)=x(3x-3)

4x^2-6x-10=3x^2-3x

x^2-3x-10=0

x^2-5x+2x-10=0

x(x-5)+2(x-5)=0

(x-5)(x+2)=0

x=5

Step-by-step explanation:

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