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nlexa [21]
3 years ago
6

Write the ratio of corresponding sides for the similar triangles and reduce the ratio to lowest terms.

Mathematics
1 answer:
zepelin [54]3 years ago
4 0

see the attached figure with letter to better understand the problem    

we know that

If triangle ABC is similar to triangle PQR

then

the ratio of the corresponding sides are proportional

so

substitute the values

therefore

the answer is the option C

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The average number of employees that call in sick for the day over the course of a year is 25.
sveta [45]

Answer:

<h3>x¯= 23.8 </h3><h3>μ= 8.2 </h3>

Step-by-step explanation:

<h3>Find the mean. </h3>

 

The mean of a set of numbers is the sum divided by the number of terms.

x¯= <u>25+10+16+39+27+25+32+25+25+22+28+14</u>

                                   11

<h3>Simplify the numerator. </h3>

x¯ = <u>261.27</u>

            11

<h3>Divide  261.27 by 11 </h3>

x¯= 23.75 18

<h3>Divide. </h3>

x¯= 23.75 18

The mean should be rounded to one more decimal place than the original data. If the original data were mixed, round to one decimal place more than the least precise.

x¯=23.8

<h3>Simplify each value in the list. </h3>

25,10,16,39.27,25,32,25,25,22,28,14

Set up the formula for sample standard deviation. The standard deviation of a set of values is a measure of the spread of its values.

s=  n^∑  i=1    √(<u>xi−xavg</u>)²

                            N-1

             

Set up the formula for standard deviation for this set of numbers.

s= ⎷(25−23.8)²+(10−23.8)²+(16−23.8)²+(39.27−23.8)²+(25−23.8)²+<u>(32−23.8)²+(25−23.8)²+(25−23.8)²+(22−23.8)²+(28−23.8)²+(14−23.8)</u>²

                                       11−1

<h3>Simplify the result. </h3>

 

s= √68.05209

The standard deviation should be rounded to one more decimal place than the original data. If the original data were mixed, round to one decimal place more than the least precise.

8.2

7 0
3 years ago
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patriot [66]

Answer:

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Step-by-step explanation:

5 0
3 years ago
Solve and model 7/10-3/10
sergij07 [2.7K]
Hello,

\frac{7}{10} -  \frac{3}{10} = 2/5 

Solution.

<span>\frac{7}{10} - \frac{3}{10}= The denominators are the same so you subtract the numerator. Your answer should be </span>\frac{4}{10}  simplified your answer is \frac{2}{5}.

Have A Good Day!
7 0
3 years ago
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gregori [183]

Answer:

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Step-by-step explanation:

3 0
3 years ago
1) 3r² – 2r=-9<br> Quadratic formula
Nonamiya [84]

Answer:

Solving the equation 3r^2-2r=-9 using quadratic formula we get: \mathbf{ r=\frac{1+\sqrt{26}\:i}{3}\:or\: r=\frac{1-\sqrt{26}\:i}{3}}

Step-by-step explanation:

We need to solve the equation 3r^2-2r=-9 using quadratic formula.

The quadratic formula is: r=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

For the given equation: 3r^2-2r=-9

We can write it as: 3r^2-2r+9=0

We have a = 3, b= -2 and c=9

Putting values in quadratic formula and finding value of r

r=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\r=\frac{-(-2)\pm\sqrt{(-2)^2-4(3)(9)}}{2(3)}\\r=\frac{2\pm\sqrt{4-108}}{6}\\r=\frac{2\pm\sqrt{-104}}{6}\\We\:know\:that: \sqrt{-1}=i\\ r=\frac{2\pm\sqrt{26} \:i}{6}\\ r=\frac{2+2\sqrt{26}\:i}{6}\:or\: r=\frac{2-2\sqrt{26}\:i}{6}\\ r=\frac{2(1+\sqrt{26}\:i)}{6}\:or\: r=\frac{2(1-\sqrt{26}\:i)}{6}\\ r=\frac{1+\sqrt{26}\:i}{3}\:or\: r=\frac{1-\sqrt{26}\:i}{3}

So, solving the equation 3r^2-2r=-9 using quadratic formula we get: \mathbf{ r=\frac{1+\sqrt{26}\:i}{3}\:or\: r=\frac{1-\sqrt{26}\:i}{3}}

3 0
3 years ago
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