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melomori [17]
1 year ago
13

ABCD is a parallelogram. If ad = 2x + 10 and CD = 4x - 20, for what value of x will abcd be a rhombus

Mathematics
1 answer:
dimaraw [331]1 year ago
3 0

Answer:

15

Step-by-step explanation:

All sides of a rhombus are equal, so

2x+10=4x-20 \\ \\ 10=2x-20 \\ \\ 2x=30 \\ \\ x=15

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The base of a parallelogram is 18 inches longer than three times the height. The area of the parallelogram is 216 square inches.
nordsb [41]

Answer:

12 inches

Step-by-step explanation:

Let b represent the base

h represents the height

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From the question'

b = 18 + 3h

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216 = (18 + 3h) * h

expand

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0 = 18h + 3h^2 - 216

rearrange

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divide through by 3

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(h - 12) (h + 6) = 0

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h = 12

and

h + 6 = 0

h = - 6

Taking the positive value of h

Hence, the height is 12 inches

Lets check

when h = 12 inches

Area of the parallelogram = 18* 12 = 216 square inches     .... correct

when h = -6inches

A = 18 * -6 ≠  216 square inches

So height is 12 inches

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