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3 years ago

If ABC and EDC are similar, what is the value of x? A

Mathematics

1 answer:

abruzzese [7]3 years ago

3 0

Answer:

x = 15

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

BC/DC = EC/AC , substitute values

3x×5/32 - 5x-5/56 ( cross- multiply )

56(3x - 5) = 32(5x - 5) ← distribute and simplify both sides

168x - 280 = 160x - 160 ( subtract 160x from both sides )

8x - 280 = - 160 ( add 280 to both sides )

8x = 120 ( divide both sides by 8 )

x = 15

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Answer:

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3 years ago

9. Which of the following is TRUE? ( 5 points) a. For a data set with mean = 25 pounds and Standard Deviation = 2 pounds then 95

pychu [463]

Answer:

For a data set with mean = 25 pounds and Standard Deviation = 3 pounds then 95% of the data is between 19 pounds and 31 pounds.

Step-by-step explanation:

1 ) 68% of the data lies within 1 standard deviation of mean

This means 68% of data lies between: $\mu-\sigma$ to $\mu+\sigma$

2) 95% of the data lies within 2 standard deviation of mean

This means 95% of data lies between: $\mu-2\sigma$ to $\mu+2\sigma$

3) 99.7% of the data lies within 3 standard deviation of mean

This means 99.7% of data lies between: $\mu-3\sigma$ to $\mu+3\sigma$

Now,

95% of the data lies within 2 standard deviation of mean :

For Mean = $\mu = 25$

Standard deviation = $\sigma = 2$

So, 95% of data lies between: $25-2(2)$ to $25+2(2)$

95% of data lies between: $21$ to $29$

For Mean = $\mu = 25$

Standard deviation = $\sigma = 3$

So, 95% of data lies between: $25-2(3)$ to $25+2(3)$

95% of data lies between: $19$ to $31$

So, Option D is true

For a data set with mean = 25 pounds and Standard Deviation = 3 pounds then 95% of the data is between 19 pounds and 31 pounds.

4 0

3 years ago

I need help with this one just give me answer.

PilotLPTM [1.2K]

Answer:

it is not possible because you only know 1 side. Unless you use cos sin

Step-by-step explanation:

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3 years ago

Please answer I need help asap

strojnjashka [21]

Answer:

x=5

Step-by-step explanation:

$\frac{x}{3} =\frac{9+6}{9} \\\\\frac{x}{3} =\frac{15}{9}$

cross multiply

45=9x

solve for x by dividing 9 to get x alone

5=x

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3 years ago

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3 years ago