Beginning Algebra help!?

1) The tail of a kite is 1.5ft plus twie the length of the kite. Together the kite & tail are 15ft 6in long. What is hte length of the tail?

2) A triangle has a perimeter of 165cm. The first side is 65 cm less than twice the second side. The third side is 10cm less than the second side. Find the length of each side of the triangle.

PLZ HELP & EXPLAIN!!

1 Answer

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  • 1 decade ago
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    use X.

    I'll do #2 for you:

    perimeter = 165cm. (perimeter is the sum of the length of the 3 sides)

    use second side as X (since they give you the info on the 2 other sides using the second side comparison)

    1st side : 65 cm less than twice the second side (X)

    therefore, 1st side: 2X - 65cm

    3rd side : 10 cm less than the second side: X-10

    Perimeter = 165 cm = 1st side + 2nd side + 3rd side = 2X-65+X+X-10

    2X + X + X -65 - 10 = 4X -75 = 165.

    4X = 165 +75 = 240.

    X = 240/4

    X = 60 cm.

    2nd side (X) = 60 cm.

    1st side = 2X - 65cm = 2(60) - 65 = 55 cm.

    3rd side = X - 10 = 60 - 10 = 50 cm.

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