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Ghella [55]
4 years ago
14

Which pair of angles are vertical angles?

Mathematics
2 answers:
barxatty [35]4 years ago
8 0

Answer: ∠WRS and ∠VRT

Step-by-step explanation:

When two lines intersects each other , then the opposite angles are known as vertically angles where the term "vertical" refers to the vertex .

From the given figure, we can see that line SV and line WT intersects each other at R.

Then by the definition of vertical angles, the pair of vertical angles will be :-

∠WRS and ∠VRT

∠VRW and ∠TRS

Hence, From all then options, the correct answer is  ∠WRS and ∠VRT

rosijanka [135]4 years ago
7 0
The answer is the second one down, WRS and VRT
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so hmmm let's get the area of the whole hexagon, and then get the area of the circle inside it, then <u>subtract the area of the circle from that of the hexagon's</u>, what's leftover is what we didn't subtract, namely the shaded part.

\textit{area of a regular polygon}\\\\ A=\cfrac{1}{4}ns^2\cot\stackrel{\stackrel{degrees}{\downarrow }}{\left( \frac{180}{n} \right)}~ \begin{cases} n=\textit{number of sides}\\ s=\textit{length of a side}\\[-0.5em] \hrulefill\\ n=\stackrel{hexagon}{6}\\ s=\frac{9}{2} \end{cases}\implies A=\cfrac{1}{4}(6)\left( \cfrac{9}{2} \right)^2 \cot\left( \cfrac{180}{6} \right)

A=\cfrac{1}{4}(6)\cfrac{9^2}{2^2} \cot(30^o)\implies A=\cfrac{243}{8}\cot(30^o)\implies A=\cfrac{243\sqrt{3}}{8} \\\\[-0.35em] ~\dotfill\\\\ \textit{area of circle}\\\\ A=\pi r^2~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=\frac{4}{5} \end{cases}\implies A=\pi \left( \cfrac{4}{5} \right)^2\implies A=\cfrac{16\pi }{25} \\\\[-0.35em] ~\dotfill

\stackrel{\textit{area of the hexagon}}{\cfrac{243\sqrt{3}}{8}}~~ - ~~\stackrel{\textit{area of the circle}}{\cfrac{16\pi }{25}}\implies \cfrac{6075\sqrt{3}-128\pi }{200}

5 0
2 years ago
I lined up all my snakes. The two pythons are 6 feet each. I also have three corn snakes that are the same length. Altogether, m
grandymaker [24]
Given:
2 pythons : 6 ft each
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Let x be the length of one corn snake.

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Each corn snake is 3 ft long.

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3 years ago
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Answer:


Step-by-step explanation:

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3 0
4 years ago
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kykrilka [37]

Answer:

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Step-by-step explanation:

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The vertical angles are (3n-28)^\circ$ and 83^\circ.

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8 0
3 years ago
I dont think this is right
Paladinen [302]
The answer will equal 77
Cheers,Irys
5 0
3 years ago
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