mZS = 23

, arc RS = 86

, and RU is tangent to the circle at R. Find mZU.

S

U

Answers

Answer 1

Answer:

[tex]\angle U = 20^\circ[/tex]

Step-by-step explanation:

Given

See attachment

[tex]\angle S = 23[/tex]

arc [tex]RS = 86[/tex]

Required

Find [tex]\angle U[/tex]

Let

[tex]O \to[/tex] center of the circle

We have that:

arc [tex]RS = 86[/tex]

This implies that:

[tex]\angle SOR = 86^\circ[/tex]

and

[tex]\triangle SOR \to[/tex] is an isosceles triangle

because:

[tex]SO = OR \to[/tex] the radius of the circle

And

[tex]\angle RSO = \angle ORS[/tex]

So, we have:

[tex]\angle RSO + \angle ORS + \angle SOR = 180^\circ[/tex] --- angles in a triangle

[tex]\angle RSO + \angle ORS + 86^\circ = 180^\circ[/tex]

Collect like terms

[tex]\angle RSO + \angle ORS =- 86^\circ + 180^\circ[/tex]

[tex]\angle RSO + \angle ORS =94^\circ[/tex]

Recall that: [tex]\angle RSO = \angle ORS[/tex]

So:

[tex]\angle RSO + \angle RSO =94^\circ[/tex]

[tex]2\angle RSO =94^\circ[/tex]

Divide by 2

[tex]\angle RSO =47^\circ[/tex]

RU is a tangent.

So:

[tex]\angle ORU = 90^\circ[/tex]

Given that:

[tex]\angle S = 23[/tex]

Considering [tex]\triangle SRU[/tex]

We have:

[tex]\angle RSU = \angle S = 23^\circ[/tex]

So:

[tex]\angle SRU= \angle RSO + \angle ORU[/tex]

[tex]\angle SRU= 47 + 90[/tex]

[tex]\angle SRU= 137[/tex]

Lastly:

[tex]\angle RUS + \angle RSU + \angle SRU =180^{0}[/tex]

[tex]\angle RUS + 23 + 137=180^{0}[/tex]

Collect like terms

[tex]\angle RUS =180^{0} - 23 - 137[/tex]

[tex]\angle RUS =20^{0}[/tex]

Hence:

[tex]\angle U = 20^\circ[/tex]

MZS = 23, Arc RS = 86, And RU Is Tangent To The Circle At R. Find MZU.SU

Related Questions

Plant A is 14 inches tall and growing at a rate of 0.5 (½) inches each day. Plant B is 8 inches tall and is growing at a rate of 2 inches each day. When will plants A and B have the same height?

Answers

Answer:

They will both have a height of 16 inches in 4 days.

Step-by-step explanation:

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The probability that Tom wins a tennis match is 0.6. What is the probability that Tom loses a tennis match?

Answers

Answer:

0.4

Step-by-step explanation:

1-0.6=0.4???????????????

What is the equation of the line that passes through the point (2,-2) and has a
slope of -1/2?

Answers

Answer:

y = -1/2x - 1

Step-by-step explanation:

We can use the point-slope form of the equation:

y-y1 = m(x-x1)

Where the given y1 = -2, x1 = 2, and m = -1/2. This yields:

y - (-2) = -1/2(x - 2)

y + 2 = -1/2x + 1

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21
10
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Answers

um sorry i really dont know

The dimensions of a solid block of cheese in the shape of a triangular prism are shownbelow.6.9 cm9.9 cm5.1 cm. Which of the following is the best estimate of the volume of the block of cheese in cubic centimeters

Answers

Answer:

175 cm

Step-by-step explanation:

Consider the diagram.

Which equations are true? Select all true equations.

Answers

Answer:

Sum of angles of a triangle is 180, so x + y + w = 180

Straight angle is 180 , so y + z = 180

From the first 2 conditions :

=>x + y +w = y + z

=> x + w = z  

Option 1, 2, 5

The equations which are true are given by,

w + x + y = 180w + x + y = 180y + z = w + x + yw + x + y = 180y + z = w + x + yw + x = z

What is an Equation?

Equation is a mathematical relation between more than one variable, number or mathematical quantities involving mathematical operations using equal sign in between them.

From angle sum property of triangle says that the sum of all interrior angles of a triangle is 180.

Here all interrior angles of triangle are x,y,w

So, x+y+w = 180

Hence first option is correct.

Again the exterrior angle of a triangle is equal to the sum of the opposite two interrior angles.

here exterrior angle is z and opposite two interrior of z are x,w

So, w+x = z

Hence last option is correct.

Again y+z = y+w+x

so second option is also true.

Hence correct options or equations are given by:

w + x + y = 180w + x + y = 180y + z = w + x + yw + x + y = 180y + z = w + x + yw + x = z

Learn more about Equation here -

https://brainly.com/question/13763238

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In New York City, a local park is located at (3,-4). Susan runs from the park to a healthy smoothie spot at (3,4) and then to her house at (0,-1). Represent the locations as points on a coordinate grid with a unit of 1 mile.

A)What is the distance from the local park to the healthy smoothie spot?
B)Find the area of this figure.

Answers

I know the correct answer but I need you to first answer my math questions

What is the slope of this line? I NEED HELP PLZZ
A 1/2
B-1
C-1/2
D 1

Answers

Answer:

1.

Step-by-step explanation:

Take two points off of the line. I will use

(1, -2) and (4, 1).

Put them into the slope formula, which is (refresh if you cannot see.)

[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Substitute the values.

[tex]\frac{1-(-2)}{4-1}[/tex]

Subtract both the numerator and the denominator.

[tex]\frac{3}{3}[/tex]

Simplify to get

1.

The slope of the line provided is 1.

i need help for this questinon

Answers

Answer:

A

Explaination: you are just rotating the rhombus

Answer:

a. Rhombus ABDC is congruent to rhombus A'B'C'D

Step-by-step explanation:

the area/angles of ABCD did not change after rotation(becoming A'B'C'D)

2(a-b)
plz give me answer

Answers

Step-by-step explanation:

2(a-b) its yr question2 & (a-b)is in the form of multiplyso, first multiply a by 2 it becomes 2a and - sign is greater so, it will be - as it is then multiply b by 2 it becomes 2bnow write yr ans =2a-2b

stay safe healthy and happy.

Answer:

2a-2b

Step-by-step explanation:

2(a-b)         use distributive property

2a-2b        

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Answers

Answer:D

Step-by-step explanation:

I'm prolly wrong so sorry

Answer:

I think it's 'D'

hopefully it's correct!

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Answers

Step-by-step explanation:

Area of rectangle= l x b

= 245 x 245

=60025

Area of triangle = (1/2) x b x h

=(1/2) x 245 x 245

=30012.5

Area of shaded part = Area of rectangle - Area of triangle

=60025 - 30012.5

=30012.5

The Stewart family is building a circular swimming pool if the radius of the pool is 10 feet what is its circumference use pi equals 3.14 to solve.

Answers

Answer:

if you solve the question please i request you please read the question carefully after solve the question

Which group of numbers is listed from least to greatest?

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-8, |-5|, -4, |3|, 6
-4, |-2|, |3|, 5, |-7|
|-6|, -4, |-2|, -1, 0

Answers

The third option
An absolute value symbol means that whatever is in between automatically turns into a positive number
You would get...
-4,2,3,5,7 which is an order sequence from least to greatest

Answer:

1.) -6, |-3|, -3, 6, |-9| __ |-9|, -6, -3,|-3|, 6

2.) -8, |-5|, -4, |3|, 6 __ -8, |-5|, -4, |3|, 6

3.) -4, |-2|, |3|, 5, |-7| __ |-7|, -4, |-2|, |3|, 5

4.) |-6|, -4, |-2|, -1, 0 __ |-6|, -4, |-2|, -1, 0

Step-by-step explanation:

2.) -8, |-5|, -4, |3|, 6 __ -8, |-5|, -4, |3|, 6

4.) |-6|, -4, |-2|, -1, 0 __ |-6|, -4, |-2|, -1, 0

Both are listed from least to greatest

NEED ANSWER ASAP

Kennedy needed to get her computer fixed. She took it to the repair store. The technician at the store worked on the computer for 3.75 hours and charged her $58 for parts. The total was $226.75. Write and solve an equation which can be used to determine xx, the cost of the labor per hour.

Answers

Answer:

Equation: 3.75x+58=226.75

Step-by-step explanation:

MARK ME BRAINLIEST PLZZZZZZZZZZZZZZZZZZZZZzz

Answer:

Equation: 3.75x + 58 = 226.75

x = 45

Step-by-step explanation:

DeltaMath

Which expression is not a trinomial?
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Answers

Answer:

Option D.

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Answers

Answer:

36

Step-by-step explanation:

6 x 6= 36

question is in the screenshot below

Answers

I’m pretty sure it is 240in^2 but I’m not fully sure

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Answers

Answer:

B, D and E

Step-by-step explanation:

Using the rules of exponents/ radicals

[tex]a^{-m}[/tex] = [tex]\frac{1}{a^{m} }[/tex]

[tex]a^{\frac{1}{2} }[/tex] = [tex]\sqrt{a}[/tex]

Given

[tex]49^{-\frac{1}{2} }[/tex] = [tex]\frac{1}{49^{\frac{1}{2} } }[/tex]  → E

= [tex]\frac{1}{\sqrt{49} }[/tex]  → B

= [tex]\frac{1}{7}[/tex] → D

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Answers

what does it want you to do

Answer:

try to solve 4y-2=18 which equals 5

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Answers

(30x6)+(2x6) would get you the same answer as 32x6

money is invested in a saving account at 12% simple interest.after one year there is $1680 in the account. how much was originally invested?

Answers

Answer:

it is eightyseven money


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Answers

-7 and - 9

Step-by-step explanation:

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Answers

Answer:

4

Step-by-step explanation:

Volume of cylinder = 2πrh = 2π(4)(6) = 48π

Volume of cone = πr²h/3

Height of cone = √(5² - 3²) = 4

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Cones to fill cylinder = 48π ÷ 12π = 4

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I will mark the person brainliest who answers with an actual correct answer
Due soon!!

Answers

Answer:

1st option is correct

Step-by-step explanation:

Answer:I think its Shannon

Step-by-step explanation:

the equation for the ellipse given is 4x^2+9y^2-16x+18y-11​

Answers

Answer:

a. a = 3, b = 2

b. The coordinate of the center is (2, -1)

c. The eccentricity of the ellipse is √5/3

d. Please see attached graph of the ellipse created with MS Excel

Step-by-step explanation:

7. a. The given equation of the ellipse is presented as follows;

4·x² + 9·y² - 16·x + 18·y - 11

The general equation of an ellipse

[tex]\dfrac{(x - h)^2}{a^2} + \dfrac{(y - k)^2}{b^2} = 1[/tex]

We can write;

4·x² - 16·x + 9·y² + 18·y - 11

4·(x² - 4·x + 4) + 9·(y² + 2·y + 1) - 25 - 11

4·(x² - 4·x + 4) + 9·(y² + 2·y + 1) =  25 + 11 = 36

4·(x - 2)² + 9·(y + 1)² = 36

[tex]\dfrac{4\cdot (x - 2)^2}{36} + \dfrac{9 \cdot (y + 1)^2}{36} = \dfrac{36}{36}[/tex]

[tex]\therefore \dfrac{ (x - 2)^2}{9} + \dfrac{ (y + 1)^2}{4} = \dfrac{ (x - 2)^2}{3^2} + \dfrac{ (y + 1)^2}{2^2} = 1[/tex]

By comparison, a = 3, b = 2, h = 2, k = -1

b. The coordinate of the center, (h, k) = (2, -1)

c. The eccentricity of the ellipse = c/a

c² = a² - b²

∴ c² = 3² - 2² = 5

c = √5

Eccentricity = √5/3

d. Please find attached the graph of the ellipse created with MS Excel

PLEASE hello please help i’ll give brainliest

Answers

Answer:

A

Step-by-step explanation:

First value is 1, second value is 2 and the third value is 6, 1+2 is 3, add 6 and you get 9

Adrian's recipe for cranberry relish calls for 1 3_4cups of sugar. He wants to use 1_2that amount. How much sugar should he use?

Answers

Answer:

7/8

Step-by-step explanation:

Andrea recipe for cranberry relish is

1 3/4

= 7/4

He wants to use 1/2 of that amount

Therefore the amount of sugar he should use can be calculated as follows

= 7/4×1/2

= 7/8

A high-school club has members the ratio of males to females is 5 to 3 how many males are in the club

Answers

Answer:

it depends on how many females are there

Step-by-step explanation:

I need to know how many females are there

Answer: If there are x total members, then the number of males is 5/8x

Solve the following inequality.
4m + 6 < 2 OR
m+4
> 3
3
m < [?] OR m >[]
Enter

Answers

Answer:

[tex]:\implies \boxed{\red{\sf m \in (-1,-\infty)}}[/tex]

Step-by-step explanation:

Given :-

A linear inequality 4m +6<2

We need to find the solution set for the given inequality . So , on solving it , we have ,

[tex]:\implies[/tex] 4m + 6 < 2

[tex]:\implies[/tex] 4m < 2 - 6

[tex]:\implies[/tex] 4m < -4

[tex]:\implies[/tex] m < -4/4

[tex]:\implies[/tex] m < -1

Hence m can have all values less than -1. Therefore the final answer is ,

[tex]:\implies \boxed{\red{\sf m \in (-1,-\infty)}}[/tex]

Hence m can have all values less than-1.

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