2 years ago

PLS HELP!

Mathematics

2 answers:

Elina [12.6K]2 years ago

7 0

It’s only vertical angles because they’re angles opposite of each other, and they’re congruent.

Aleks04 [339]2 years ago

3 0

The answer is an acute

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Pls help. I rly don't understand it.

yulyashka [42]

Answer:

You just need to demonstrate that the expression is not equivalent. To do that, we just need to evaluate the expression with a specific number.

$\frac{3}{8}x+2 \neq \frac{3}{2}x+5$

For $x=0$ , we have

$\frac{3}{8}(0)+2 \neq \frac{3}{2}(0)+5\\2 \neq 5$

Notice that the answer is true because 2 is not equivalent to 5.

Therefore, the expression is actually non-equivalent.

4 0

3 years ago

A regular hexagonal prism has an edge length 12 cm, and height 10 cm. Identify the volume of the prism to the nearest tenth.

Alexeev081 [22]

Check the picture below.

so the volume will simply be the area of the hexagonal face times the height.

$\textit{area of a regular polygon}\\\\ A=\cfrac{1}{4}ns^2\stackrel{\qquad degrees}{\cot\left( \frac{180}{n} \right)}~~ \begin{cases} n=\stackrel{number~of}{sides}\\ s=\stackrel{length~of}{side}\\[-0.5em] \hrulefill\\ n=6\\ s=12 \end{cases}\implies A=\cfrac{1}{4}(6)(12)^2\cot\left( \frac{180}{6} \right) \\\\\\ A=216\cot(30^o)\implies A=216\sqrt{3} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{area of the hexagon}}{(216\sqrt{3})}~~\stackrel{height}{(10)}\implies 2160\sqrt{3}~~\approx ~~3741.2~cm^3$