Guys please HELP ASAP!!!!!!!

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)

$\therefore a = 360\degree - b$

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

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

6 0

3 years ago

If you get the answer just give me the full answer please. No matter the length.

sammy [17]

Answer:

CD = 4

Step-by-step explanation:

I believe you know the geometric mean for altitudes?

CD = √AD * DB = √8 * 2 = √16 = 4

If you are not aware of this theorem, then use the similarity of triangles.

ADC ~ CDB

AD/DC = CD/DB (cross-multiply)

CD^2 = AD*DB,

CD = √AD * DB = √8 * 2 = √16 = 4

5 0

2 years ago

3−2x=2x+3(6−3x)−7(1−2y)=25+6y

Zielflug [23.3K]

Answer:

Step-by-step explanation:

First you need to use the distributive property:

3-2x+2x+3(6-3x)-7(1-2y)=25+6y

3-2x=2x+18-9x-7+14y=25+6y

3-2x=-7x+11+14y=25+6y

Then Split up the equations.

3-2x=-7x+11

Subtract 3 from both sides

-2x=-7x+8

Then add -7x to both sides

5x=8

Then divide both sides by 5x

X= $\frac{5}{8}$

To solve for y: just use 14y=25+6y

Subtract both sides by 6y

8y=25

Then divide both sides by 8y

y= $\frac{25}{8}$

7 0

3 years ago

Mila used the multiplication property to justify the first step in solving an equation. The original equation was x/2+4=10. What

Nookie1986 [14]

Answer: $x+8=20$

Step-by-step explanation:

Given

Equation is $\frac{x}{2}+4=10$

Mila uses the first step as multiplication to make the coefficient of x, 1

Mila maybe have multiplied the whole equation by 2 i.e.

$\Rightarrow 2\left(\dfrac{x}{2}+4=10\right)\\\\\Rightarrow x+8=20$

8 0

3 years ago

jayson used 0.5 cups of kernals to make 16 cups of popcorn how many cupes of popcore would he make if he used 0.75 cups of kerna

viva [34]

Answer:

24 cups of popcorn can be made from 0.75 cups of kernels.

Step-by-step explanation:

4 0

3 years ago

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