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Geography

Answered

Aw) 4. Solve for x.
3x + 1
10
7x-1
22

Aw 4 Solve For X 3x 1 10 7x1 22 class=

Answer :

АНОНИМGO АНОНИМGO

Answer:

x = 8

Explanation:

In the given triangle

A line segment joining points on two sides and parallel to the 3rd side
That means this line segment divided the two sides into equal ratios

It divided the 1st side into 10 and 3x + 1
It divided the 2nd side into 22 and 7x - 1

10/3x+1 = 22/7x-1
By using cross multiplication
10(7x - 1) = 22(3x + 1)
10(7x) - 10(1) = 22(3x) + 22(1)
70x - 10 = 66x + 22
Subtract 66x from both sides
70x - 66x - 10 = 66x - 66x + 22
4x - 10 = 22
Add 10 to both sides
4x - 10 + 10 = 22 + 10
4x = 32
Divide both sides by 4
x = 8

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