Mathematics High School

Find the measure of the are or angle indicated. Assume that lines which appear tanget are tangents​

Find The Measure Of The Are Or Angle Indicated. Assume That Lines Which Appear Tanget Are Tangents

Answers

Answer 1

Given:

On a circle, UT and UV are two tangent

Measure of arc VT = 125 degrees.

To find:

The measure of angle TUV.

Solution:

Intersecting tangents theorem: According to this theorem, if two tangent are drawn to the circle then the measure of angle on the intersection is half of the difference of intercepted major arc and minor arc.

We know that the measure of complete arc of a circle is 360 degrees. So,

[tex]\text{Major arc}(VT)=360^\circ -\text{Minor arc}(VT)[/tex]

[tex]\text{Major arc}(VT)=360^\circ -125^\circ[/tex]

[tex]\text{Major arc}(VT)=235^\circ[/tex]

Using Intersecting tangents theorem, we get

[tex]m\angle TUV =\dfrac{1}{2}(\text{Major arc}(VT)-\text{Minor arc}(VT))[/tex]

[tex]m\angle TUV =\dfrac{1}{2}(235^\circ -125^\circ )[/tex]

[tex]m\angle TUV =\dfrac{1}{2}(110^\circ )[/tex]

[tex]m\angle TUV =55^\circ[/tex]

Therefore, the measure of angle TUV is 55 degrees.

Related Questions

Given circle Q a measure of SR = 120 degree and a radius of 9 feet, as shown below determine the arc length of SR use mathematics to explain how you determined your answer. 

Volume and circles
Help please ❤️

Answers

Answer:

Arc length SR = 18.85 ft

Step-by-step explanation:

To get the arc length, we use the formula below

theta/360 * 2 * pi * r

theta is the central angle subtended by the arc which is 120 degrees

r is the radius of the circle which is 9 ft

Substituting these values, we have

120/360 * 2 * 3.142 * 9

= 18.85 ft

Can someone help me please

Answers

Answer:

1

Step-by-step explanation:

1 because the circumference is the diameter x pi. Since the circumference is 3.14, and 3.14 divided by 3.14 is 1, then the diameter is 1.

BRAIN TO CORRECT ANSWER!!

Juan rides the bus to school each day. He always arrives at his bus stop on time, but his bus is late 80% of the time. Juan runs a simulation to model this using a random number generator. He assigns these digits to the possible outcomes for each day of the week:

• Let 0 and 1 = bus is on time

• Let 2, 3, 4, 5, 6, 7, 8, and 9 = bus is late

The table shows the results of the simulation.

(image)​​

Answers

Answer:

2/10 = 20%

Step-by-step explanation:

the correct answer is 20%  hope this helps.

What solid figure has eight vertices?

triangular pyramid
triangular prism
rectangular prism
square pyramid

Answers

Rectangular prism the two square on the end have 4 vertices each

X m, 6 m, 12 m
mathematics and inaquality

Answers

Answer:

djajahshshsk manually sjss

Pls i really need help on this plsss https://s3.amazonaws.com/content.accelerate-ed.com/Elementary/docs/Math5/Module10Assignment3.pdf it is so hard for me

Answers

Answer:

what

Step-by-step explanation:

Answer:

I really wanted to help you but the code is an error when I tried to put the link insorry.

A millennium is a period of 1,000 years.
So, 4,000 years is 4 millennia.
How many millennia are there in 5,000 years?

Answers

Answer:

5 millennia

Step-by-step explanation:

The simplest way to get the answer is that a millennium is 1,000 years and since you mentioned there are 4 millennia in 4,000 years, you would need to divide 5,000 by 1,000.  Your answer should be 5 millennia.

the answer would be 5 millennia

witch is greater 60% or 5/8

Answers

Answer:

5/8

Step-by-step explanation:

5/8 equals 62.5% so it is greater than 60%.

i hope this helps

Answer:

5/8

Step-by-step explanation:

60% = 6/10

5/8 greater than 6/10

The ratio x:y is 1:3
Which of the following statements are correct?
A. x is 1/3 of y
B. y is 2 of (x + y)
C x is 1/4 of y
D. y is 3/4 of x​

Answers

Answer:

A. & B. are the corect answers

Step-by-step explanation:

Answer:

A and B

x is [tex]\frac{1}{3}[/tex] of y

AND

y is [tex]\frac{3}{4}[/tex] of (x+y)

Step-by-step explanation:

x:y is 1:3

=>  y is bigger than x

=>  y is 3x bigger than x

=>  y = 3 lots of x

=>  [tex]y =[/tex] [tex]3x[/tex]

=>  [tex]\frac{y}{3}[/tex] [tex]= x[/tex]

=>  [tex]\frac{1}{3} y[/tex] [tex]= x[/tex]

So x is [tex]\frac{1}{3}[/tex] of y

y is [tex]\frac{3}{4}[/tex] of (x+y)

If x = 1 and y = 3 (substitute in values)

=>  3 is [tex]\frac{3}{4}[/tex] of (4)

=>  3 is [tex]\frac{3}{4}[/tex](4)

=>  3 is ([tex]\frac{3}{4}[/tex]x4)

=>  3 = 3

Therefore, y is [tex]\frac{3}{4}[/tex] of (x+y) is true

So the answers are:

x is [tex]\frac{1}{3}[/tex] of y

AND

y is [tex]\frac{3}{4}[/tex] of (x+y)

Without looking, Tammy takes a marble out of a bag that contains 10 red marbles, 15 green marbles, and 25 blue marbles. She records its color and returns the marble to the bag. If Tammy repeats this process 90 times, how many times can she expect to pull out a red marble?

Answers

I think it’s 18 and I will explain how I got that

Explanation: so first I added all the marbles she took out to see the total she took out which was 50 and if she did it 90 times I need to see how much time 50 she did it more and that was so 90 divided by 50 is 1.8 and that times 10 (times because we want to see how many times the red marble would come out) and that’s 18

Answer:

18 is the answer

Step-by-step explanation:

added all the marbles she took out to see the total she took out which was 50

if she did it 90 times I need to see how much time 50 she did it more and that was so 90 divided by 50 is 1.8 and that times 10

(times because we want to see how many times the red marble would come out) and that’s 18

hope this helps u

Have a nice day : )

Mark brainliest

I NEED HELPPP pleaseeeeeee !!!!!!

Answers

Reflection across the x axis

HELPPPPPP
solve the equation for x

2/3x-1/9x+5=20

Answers

Answer:

x=27

Step-by-step explanation:

You want to isolate the variables so you subtract 5 from both sides. Therefore the equation will be 2/3x-1/9x=15. You want to take away the fraction because no one likes fractions. You have to multiply everything by 9. Therefore, the equation will be 6x-x=135. 5x=135. You want to isolate x so you have to divide each side by 5. x=135/5. Simplify to get x=27.

If this has helped you please mark as brainliest

WILL MARK BRAINLIESTTTTTTTT
For every 1/4 of an inch a boy grows, he gains 3/4 of a pound. If the boy weighs 64 pounds when he is 52 inches tall, how many pounds will he weigh when he is 53.5 inches tall?

Answers

Answer: 68.5 pounds

Step-by-step explanation:

he grew 1.5 inches, or 6/4 inches, a total of 6 1/4 inches. 6*(3/4) = 4.5.

If he gained 4.5 pounds, then he would be 64 + 4.5 = 68.5 pounds

Answer:

68.5 pounds

Step-by-step explanation:

hope this helps you!

1. The area of a square is given. Find the length of one side of each square.
a. Area of a square: 81 in?
b. Area of a square: 150 cm?

Answers

A. Area of a square is 81 cm

A. 9 in
B. 12.2474 cm
Take the square roots of 81 and 150.

can someone please help me with this it's due at 11:59​

Answers

Answer:

Step-by-step explanation:

perimeter = 74+74+93+93 = 334 ft

area = (74× 93) = 6882 ft²

b . area

c. perimeter

Answer:

Step-by-step explanation:

PLEASE HELP
3 +(2+8)+ 4x1/2^4
04
32
O
16
06
06
32

Answers

Answer:

x/4+13

Step-by-step explanation:

Line m is represented by the equation below. Select all equation that represent lines perpendicular to line m.

Answers

Answer:

y = -2/3x + 4

y+1 = -4/6(x + 5)

Step-by-step explanation:

y = -2/3x + 4

y+1 = -4/6(x + 5)       *-4/6 is equal to -2/3

perpendicular lines have slope that are opposite signs and reciprocals

the slope of the original line in this problem is 3/2 so any line with a slope of -2/3 is perpendicular to it

Answer:

it will be any equation with a slope that is the opposite reciprocal of 3/2 or it's equivalent. So in this case, -2/3. be sure to check the negative does and see if other slopes are the same as -2/3 but in a different form.

Help plzzzzzz 1. Use your expression from Exercise 15 to find the total cost of 8 play tickets and 8 choir concert tickets
exercise 15 is Rory buys t play tickets at $14.50 per ticket and t choir concert tickets
at $5.50 per ticket. What is the cost for play tickets and choir concert
tickets?
plz help

Answers

Answer:637

Step-by-step explanation:

7362 is the andwrr

What is the volume, in cubic inches, of the container?

Answers

Answer:

The answer is 42 3/4 for this question

Please I need emergency help.......

Answers

Answer:

C)

Step-by-step explanation:

Find X and angles R and L. Please help me with this

Answers

I remember learning about this. You can go on Khan academy it is very helpful.

help please i’m very confused!

Answers

Answer:

A

Step-by-step explanation:

Answer:

(2x+2)+(x+34)

3x+36=180

-36=144

144/3

x=48

Step-by-step explanation:

I need answer immediately!!!!!!

Answers

Answer:

y = -2/3x - 5

Step-by-step explanation:

Solve by elimination {(x+3y=4),(-x+4y=10)

Answers

Answer:

Step-by-step explanation:

Hope this helps u!!

someone please please help me with this !

Answers

Answer:

Rule for first number (x,-y)

Rule for second number (kx,ky)

Step-by-step explanation:

A sundae bar has five toppings to choose from. Any number of toppings can be
chosen. How many different sundaes are possible?

Answers

Answer: 32

Step-by-step explanation:

When given a question where there is a distinct set of items to choose from, the total number of configurations is equal to 2 to the power of number of different choices. Since there are five different choices, the number of different sundaes is equal to 2^5 or 32 sundaes.

please help me !!!!!!!!

Answers

hi :)
the correct answer is J
hope this helps!

The colonists felt a larger country should not be owned by a smaller country.


TrueFalse

Answers

Answer-
This is false.

It is False :))

Step-by-step explanation:

plz mark me as brainliest

Suppose a 24-acre plot of land is being
divided into 1/3 -acre lots for a housing
development. How many lots will there
be in the development?

Answers

should be 72! 24 divided by 1/3=72

*look at the image*


whoever answers first will be marked brainliest

Answers

*looks at the image woooow

There isn’t no image
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