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2 years ago

In parallelogram ABCD , BE=7x−2 and ED=x2−10 .

Mathematics

1 answer:

Stells [14]2 years ago

5 0

I'm assuming that the diagonals intersect at E. Since diagonals of a parallelogram bisect each other, BE=ED.

7x-2=x²-10
x²-7x-8=0
(x-8)(x+1)=0
x = -1, 8

As distance must be positive, we reject the negative case, so x=8.

Thus, BE=ED=54.

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3 years ago

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4 years ago

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vesna_86 [32]

Answer:

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Step-by-step explanation:

The standard deviation of a data set is the sqaure root of the variance, so first we must find the variance. The equation for variance is:

σ² = $\frac{{(x_{1}-[x bar] )}^{2}+...+{(x_{n}-[x bar]) }^{2}}{n}$

x = number in the data set
xbar = median of the data set
n = number of terms

Plugging in the given values, the equation for the variance of this number set is:

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Solving:

= $\frac{1.265625+0.015625+0.140625+0.765625}{4}$

= $\frac{2.1875}{4}$

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Since the standard devianation is the sqaure root of the variance, we'll sqaure 0.546875:

$\sqrt{0.546875}$

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hope this helps!

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2 years ago