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Kisachek [45]
2 years ago
11

The measures of a triangle are shown below. sovle for x​

Mathematics
1 answer:
Zigmanuir [339]2 years ago
4 0

Answer:

x=16

Step-by-step explanation:

In a triangle the sum of all angle measures will always equal 180 degrees.

A+B+C=180

From the information given we know that the angle measures are:

A= 90, B=(5x-3), C=(x+9)

When you input this into the equation above you get:

90+(5x-3)+(x+9)=180

First, subtract 90 from both sides

(5x-3)+(x+9)=90

Next let's combine like terms

6x+6=90

Subtract 6 from both sides

6x=84

divide both sides by 6

x=16

<em>plz mark me brainliest. :)</em>

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

<u />

\textsf{Mean}\:\overline{X}=\sf \dfrac{\textsf{sum of all the data values}}{\textsf{total number of data values}}

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\begin{aligned}\displaystyle \textsf{Standard Deviation (Nilo)} & =\sqrt{\dfrac{(5^2+6^2+14^2+15^2)-\dfrac{(5+6+14+15)^2}{4}}{4-1}}\\\\& = \sqrt{\dfrac{482-\dfrac{40^2}{4}}{3}}\\\\& = \sqrt{\dfrac{82}{3}}\\\\& = 5.23\end{aligned}

\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}

<h3><u>Summary</u></h3>

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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