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Nikolay [14]
3 years ago
15

Parallelogram ABCD has diagonal segments AC and BD that intersect at E. if BE is ( x + 8) and ED is (5 x), find the length of BD

.
Mathematics
1 answer:
Virty [35]3 years ago
7 0

Answer:

BD = 20 units

Step-by-step explanation:

Given that,

Parallelogram ABCD has diagonal segments AC and BD that intersect at E.

BE = (x+8) and ED = 5x

We need to find the length of BD.

BD = BE + ED ...(1)

We know that the diagonals of a parallelogram bisects each other. It means,

BE = ED

x+8 = 5x

8 = 5x - x

8 = 4x

x = 2

BE = (x+8)

= (2+8)

= 10

ED = 5x

= 5(2)

= 10

Put the values in equation (1).

BD = 10 + 10

= 20 units

Hence, the length of BD is 20 units.

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3 years ago
The school that Imani goes to is selling tickets to the annual dance competition. On the first day of the ticket sales the schoo
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Answer:

The adult and the child ticket are both 8 dollars

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x =adult ticket price

y = child ticket price

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7x+5y=96 and 3x+2y= 40

I will use elimination.  Multiply the first equation by 2 and the second equation by -5 to eliminate y

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------------------------

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3 years ago
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