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Vika [28.1K]
3 years ago
11

What is the length of CD in this diagram, ABC - EDC,

Mathematics
2 answers:
natima [27]3 years ago
8 0

Answer:

<h2>4</h2>

Option A is the right option.

solution,

∆ABC~∆EDC

\frac{bc}{cd}  =  \frac{ac}{ec}  \\  \:

putting the values,

\frac{20 - x}{x}  =  \frac{20}{5}  \\  or \: 5(20 - x) = 20x(cross \: multiplication) \\ or \: 100 - 5x = 20x \\ or \:  - 5x - 20x =  - 100 \\ or \:  \:  - 25x =  - 100 \\  \: or \: x =  \frac{ - 100}{ - 25}  \\ x = 4

Hope this helps..

Good luck on your assignment..

Verdich [7]3 years ago
7 0

Answer:

it's 4. I just did this on Apex and the answer was 4

Step-by-step explanation:

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<h3><u>Mean</u></h3>

<u />

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<h3><u>Standard Deviation</u></h3>

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\begin{aligned}\displaystyle \textsf{Standard Deviation (Lisa)} & =\sqrt{\dfrac{(8^2+9^2+11^2+12^2)-\dfrac{(8+9+11+12)^2}{4}}{4-1}}\\\\& = \sqrt{\dfrac{410-\dfrac{40^2}{4}}{3}}\\\\& = \sqrt{\dfrac{10}{3}}\\\\& = 1.83\end{aligned}

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Nilo has a mean score of 10 and a standard deviation of 5.23.

Lisa has a mean score of 10 and a standard deviation of 1.83.

The <u>mean</u> scores are the <u>same</u>.

Nilo's standard deviation is higher than Lisa's.  Therefore, Nilo's test scores are more <u>spread out</u> that Lisa's, which means Lisa's test scores are more <u>consistent</u>.

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