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3 years ago

11

60 people attend a game night. Everyone chooses to play chess, a two-player game, or Uno, a

1 answer:

AysviL [449]3 years ago

7 0

Answer:

14-8

12-9

0-15

2-14

Step-by-step explanation:

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In ⊙O, ST and VT are tangents. m∠STV = 22°. Find the value of a, b, and m∠SOV.

Rasek [7]

Answer:

$\huge \orange {\boxed {a =202\degree}}$

$\huge \purple {\boxed { b = 158\degree}}$

$\huge \red {\boxed {m\angle SOV = 158\degree}}$

Step-by-step explanation:

In $\odot$ O, ST and VT are tangents at points S and V respectively.

$\therefore OS\perp ST, \:and\: OV\perp VT$

$\therefore m\angle OST=m\angle OVT = 90\degree$

In quadrilateral OSTV,

$m\angle SOV +m\angle OST+m\angle OVT+m\angle STV = 360\degree$

(By interior angle sum postulate of a quadrilateral)

$m\angle SOV +90\degree +90\degree +22\degree = 360\degree$

$m\angle SOV +202\degree = 360\degree$

$m\angle SOV = 360\degree-202\degree$

$\huge \red {\boxed {m\angle SOV = 158\degree}}$

$\because b = m\angle SOV$

(Measure of minor arc is equal to measure of its corresponding central angle)

$\huge \purple {\boxed {\therefore b = 158\degree}}$

$\because a + b= 360\degree$

(By arc sum property of a circle)

$\therefore a = 360\degree - b$

$\therefore a = 360\degree -158\degree$

$\huge \orange {\boxed {\therefore a =202\degree}}$

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3 years ago

In triangle ABC, B = 120°, a = 10, c = 18

Zarrin [17]

Answer:

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Step-by-step explanation:

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3 years ago

What is 1+1? lol i know it’s 2

bogdanovich [222]

Lol I'll just comment to get 5 points

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3 years ago

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Murrr4er [49]

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Step-by-step explanation:

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3 years ago

Which of the following is a like radical to 3 sqrt 7x?

san4es73 [151]

Answer:

Options A and B

i.e., A. 4(3 $\sqrt{7x}$ ) and B. $\sqrt{7x}$

Step-by-step explanation:

Like radicals are similar to like terms.

For example,

x, 2x, -10x, $\frac{1}{2} x$ , 7.3x are like terms.

$xy^{2} , -9xy^{2} , 13y^{2} x$ are some more examples of like terms.

Similarly, like radicals are:

$\sqrt{2} , -5\sqrt{2} , 1.1\sqrt{2}$ etc.

Hence, from the given options, like radicals to $3\sqrt{7x}$ are:

A. $4(3\sqrt{7x} )$ and B. $\sqrt{7x}$

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3 years ago

Read 2 more answers