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3 years ago

Find the value of the variable, x

Mathematics

2 answers:

Vera_Pavlovna [14]3 years ago

7 0

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$2x + 3 = 45$

Subtract sides 3

$2x + 3 - 3 = 45 - 3$

$2x = 42$

Divide sides by 2

$\frac{2}{2} x = \frac{42}{2} \\$

$x = 21$

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Thus the correct answer is the last option.

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kumpel [21]3 years ago

3 0

Answer:

The value of x is 21.

Step-by-step explanation:

The angles of a triangle all add up to 180 degrees. One side has an angle of 90 (right angle). So to find the others you would subtract 180 from 90 and divide it by 2. And you will get 45, so both acute angles will be 45 degrees.

If you subsitute 21 for x you will get 2*21 + 3 = 45, which is true (42 + 3 = 45)

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<u />

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

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

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

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