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