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iren2701 [21]
2 years ago
7

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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Eduardwww [97]

Answer:

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Step-by-step explanation:

in order to cancel out the logs they should have common bases

\mathsf{ log_{5}(3x + 5) = 2 log_{25}(1 - 3x)  }

we can write 25 as 5²

\mathsf{ \implies  log_{5}(3x + 5) =  2 \: log_{ {5}^{2} }(1 - 3x)  }

we know that the reciprocal of the exponents of the bases are multiplied to the log

\mathsf{ \implies  log_{5}(3x + 5) =   \frac{1}{\cancel{2} } \times \cancel{2} \: log_{ 5}(1 - 3x)  }

and now since the logs have common bases

\mathsf{ \implies  \cancel { log_{5}}(3x + 5) = \cancel{ log_{ 5}}(1 - 3x)  }

we're left with

\mathsf{ \implies 3x + 5 = 1 - 3x}

\mathsf{ \implies 9x = -4}

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8 0
3 years ago
The table below shows what 300 Boxer students ate for lunch on Friday. What is the ratio of the number of students who ate soup
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\frac{1}{4}

Step-by-step explanation:

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4 years ago
What is the standard deviation of the data? 0.5 1.5 2.0 2.5
vesna_86 [32]

Answer:

0.74

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:

σ² = \frac{(0.5 - 1.625)^{2}  + (1.5 - 1.625)^{2}+ (2.0 - 1.625)^{2}+(2.5 - 1.625)^{2} }{4}

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}

= 0.73950997288745

= 0.74 (rounded)

hope this helps!

4 0
2 years ago
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