In the figure below, Z is the center of the circle. Suppose that OR=4, ST= 4, UZ= 6, and VZ=4x-6. Find the following.

In The Figure Below, Z Is The Center Of The Circle. Suppose That OR=4, ST= 4, UZ= 6, And VZ=4x-6. Find

Answers

Answer 1

Answer:

x = 3 units

SV = 2 units

Step-by-step explanation:

In[tex] \odot Z[/tex] QR and ST are chords such that:

QR = ST = 4

That is both the chords are equal in measure.

Equal chords are at equal distance from the center of the circle. Therefore,

VZ = UZ

4x - 6 = 6

4x = 6 + 6

4x = 12

x = 12/4

x = 3 units

Since, perpendicular dropped from the center of the circle bisects the chord.

[tex] \therefore SV = \frac{1}{2} ST[/tex]

[tex] \therefore SV = \frac{1}{2} \times 4[/tex]

[tex] \therefore SV = 2\: units[/tex]


Related Questions

HELP ME NOW PLS WBAHS

Answers

Answer:

8

Step-by-step explanation:

you would add 1+3+4

Answer: The answer is 12

Step-by-step explanation: 4 x 3 x 1 just multiply all the number together

Justine's city took a telephone poll about a plan to build a new hotel downtown. 420 people took the poll. 126 of them were in favor of the new hotel. What percentage of the people polled were in favor of the hotel?

Answers

The answer is 23 because if you subtract 100-50 you get it

Let x and y be inversely related. If x is 5 when y
is 6, find y when x is 3.

Answers

Answer:

y=10

Step-by-step explanation:

x=k/y

constant of proportionality

k=xy

k=5*6

k=30

therefore x=30/y

if x=3 y=?

y=30/3

y= 10

.
In the hands of someone with harmful intentions, how can analogies prove to be dangerous tools?
A)Analogies can create long-lasting confusion that prevents people from making decisions.
B)Analogies make significant connections seem far less powerful than they actually are.
C)Analogies meant to persuade or influence people are often disguised as explanations.
D)Analogies, even weak and misleading ones, can be powerful tools of persuasion.

Answers

Answer:

I believe, its D.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

tom and tyler race starting at the bottom of their cuboids to reach a crumb in the bottom corner. If they take the fastest route, who wins?

Answers

Answer:

tie the answeris tie becauseit says tom AND tyler

Step-by-step explanation:

i think its tie or no one won

The line L passes through the points (0,7) and (3,19). Work out the equation of the line L.

A) y = 4x +7
Or
B) y = 4x + 19

Can you help? ​

Answers

Answer:

A

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 7 ) and (x₂, y₂ ) = (3, 19 )

m = [tex]\frac{19-7}{3-0}[/tex] = [tex]\frac{12}{3}[/tex] = 4

The line crosses the y- axis at (0, 7 ) ⇒ c = 7

y = 4x + 7 → A

A triangle has a 90° angle. What type of triangle is it?

A) Acute triangle
B) Right triangle
C) Equilateral triangle
D) Isosceles triangle

Answers

Answer:

B) Right triangle

Step-by-step explanation:

Only right triangles have an angle that's 90°.

it is a right triangle...

A garden measuring 8 feet by 12 feet will have a walkway around it. The walkway has
a uniform width, and the area covered by the garden and walkway is 192 square feet.
What is the width of the walkway?
O 3.5 feet
O 6 feet
O 2 feet
O 4 feet

Answers

Answer:

2 feet

Step-by-step explanation:

By solving a quadratic equation, we will see that the width of the walkway must be 2 ft.

How to get the width of the walkway?

Remember that the area of a rectangle of length L and width W is:

A = L*W

In this case, we know that the dimensions are:

Length = 8ftWidth = 12ft

Now, if we add a walkway of width x all around the garden, the new dimensions of the garden are:

Length = 8ft + 2xWidth = 12ft + 2x

Now with these dimensions, the area is 192 ft^2, then we can write:

192 ft^2  = (8ft + 2x)*(12ft + 2x)

Now we need to solve that for x:

192 ft^2 = 96ft^2 + 4x^2 + 40ft*x

0 = 96ft^2 - 192ft^2 + 4x^2 + 40ft*x

0 = 4x^2 + 40ft*x - 96ft^2

This is a quadratic equation, the solutions are given by Bhaskara's formula:

[tex]x = \frac{-(40ft) \pm \sqrt{(40ft)^2 - 4*4*(-96ft^2)} }{2*4} \\\\x = \frac{-(40ft) \pm 56ft }{8}[/tex]

Notice that we have two solutions, but we only care for the positive one, so we take:

x = (-40ft + 56ft)/8 = 2ft

So the width of the walkway must be 2ft.

If you want to learn more about quadratic equations, you can read:

https://brainly.com/question/1214333

HELP PLZ BRAINIEST TO WHOEVER RIGHT

Answers

Answer:

five-number summary

Step-by-step explanation:

Sasha's grandma is going to sew this umbrella for Sasha. The umbrella is made of 4 identical triangles. If each triangle is 3 feet long and 4 feet high, how many square feet of fabric does Sasha's grandma need? Explain how you found your answer.

Answers

Answer:

Sasha's grandma will need 48 square feet of fabric to sew the umbrella.

Step-by-step explanation:

Since Sasha's grandma is going to sew an umbrella for Sasha, which will be made of 4 identical triangles, if each triangle is 3 feet long and 4 feet high, to determine how many square feet of fabric does Sasha's grandma need, the following calculation must be done:

(3 x 4) x 4 = X

12 x 4 = X

48 = X

Therefore, Sasha's grandma will need 48 square feet of fabric to sew the umbrella.

What speed would a plane average on a trip
of 4000 miles that took 6 hours?
(A) 150.0 miles per hour
(B) 666.6 miles per hour
(C) 366.6 miles per hour
(D) 1500.0 miles per hour

Answers

Answer:

B) 666.6 miles per hour

Step-by-step explanation:

To solve this question, divide the 4000 miles with the 6 hours to get an answer in units of X miles per hour.

4000 miles/6 hours = 666.6 miles per hour

Each day Gianna practices penalty kicks with her older brother as the goalie. Yesterday she made 18/24 of her penalty kicks. Today she plans on shooting 36 penalty kicks. How many penalty kicks would Gianna have to make to successfully shoot an equivalent fraction as yesterday?

Answers

Answer: 27

Step-by-step explanation:

Since we are informed that Gianna practices penalty kicks and that she made 18/24 of her penalty kicks yesterday, this will be converted to its simplest form which will be:

= 18/24 = 3/4 .

If she plans on shooting 36 penalty kicks, the number of penalty kicks that Gianna would have to make to successfully shoot an equivalent fraction as yesterday will be:

= 3/4 × 36

= 3 × 9

= 27 penalty kicks.

In the data set below, what are the lower quartile, the median, and the upper quartile?
15 17 41 15 50 55 55 58 62 66

Answers

Answer:

its 55

Step-by-step explanation:

Which equation has the solution x = 2?

A 2x-3=19

B 3x+2=8

C 4x-4=-4

D 5x+1=10

Answers

Answer:

The answer is B.

Step-by-step explanation:

You can solve this problem by plugging in 2 for x in the given equations.

2(2) - 3 = 19 is false

3(2) + 2 = 8 is true

4(2) - 4 = -4 is false

5(2) + 1 = 10 is false

Please help I do not know how to do this

Answers

Answer:

About 33% of students prefer chocolate icecream

Step-by-step explanation:

The actual percentage would be 35%, but none of the other answers are close enough to correct, so I'd have to say the bottom one.

hope this helps you :/

Which expression is equivaien. to 6 (3x + 4)?

Answers

Answer:

18x + 24

Step-by-step explanation:

6(3x + 4)

combine like terms

18x + 24

plss help n dont be a B n give me sum gæy link :|
Solve for x
-3x + 6 = 2x - 24
A) -30
B) -6
C) 6
D) 30

Answers

Answer:

6

Step-by-step explanation:

ok

Lets start by grouping like terms

we get

-5x=-30

divide -5 from both sides

x=6

Answer:

x = 6 or C) 6

Step-by-step explanation:

Step 1: We will subtract 2x from both sides.

−3x + 6 − 2x = 2x − 24 − 2x

To understand a bit better: -3x - 2x = -5x and 2x - 2x = 0 so it will end up looking like this:

−5x + 6 = −24

Step 2: We will subtract 6 from both sides.

−5x + 6 − 6 = −24 − 6

−5x = −30

Step 3: We will divide both sides by -5.

−5x/−5 = −30/−5

Both will equal to positive 6 so it is your x, I hope this somewhat helped you better understand the equation!

What is -1/2 times 1/4-3/8?

Answers

Answer:

The answer is -0.5

Step-by-step explanation:

Please answer correctly!

Answers

answer:

16.24 or 12 square root of 18

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Answers

Answer:

¡Hola! Lo siento, pero no hablo español. ¡qué tengas un lindo día! También necesito puntos porque soy nuevo.

Step-by-step explanation:

A triangular prism has a height of 9 meters and a triangular base with the following dimensions.

What is the volume of the prism?

- 420 m^3

- 288 m^3

- 324 m^3

- 432 m^3

Answers

Answer:

V = 432 m³

Step-by-step explanation:

The volume (V) of a prism is calculated as

V = Ah ( A is the area of the base and h the height )

A = [tex]\frac{1}{2}[/tex] bh ( area of triangular base, with b the base, h the perpendicular height)

Here b = 16 and h = 6 , then

A = [tex]\frac{1}{2}[/tex] × 16 × 6 = 8 × 6 = 48 m²

Then

V = 48 × 9 = 432 m³

PLS HELP ME! . This pattern follows the rule multiply by 3, then subtract 4. What are the next two terms? 5, 11, 29

Answers

Answer:

83, 245

Step-by-step explanation:

Using the rule multiply by 3, then subtract 4

a₄ = 3 × a₃ - 4 = 3 × 29 - 4 = 87 - 4 = 83

a₅ = 3 × a₄ - 4 = 3 × 83 - 4 = 249 - 4 = 245

The next 2 terms are 83, 245

2x+1=5x-8 Solving Equations with Many or No Solutions

Answers

Hello!

[tex]\large\boxed{x = 3}[/tex]

2x + 1 = 5x - 8

Solve by subtracting both sides by 2x:

2x - 2x + 1 = 5x - 2x - 8

1 = 3x - 8

Add 8 to both sides:

1 + 8 = 3x - 8 + 8

9 = 3x

Divide both sides by 3:

9/3 = 3x/3

x = 3

Answer:

x = 3

Step-by-step explanation:

1. Write the equation

2x + 1 + 5x - 8

2. Add 8 on both sides

2x + 9 = 5x

3. Get the variables together

9 = 3x

4. Solve for x and divide both sides by 3

x = 3

Which of the following are solutions to the inequality below? Select all that apply.

k ≥ 2

Answers

Answer:

as there are no choices I will explain  k is 2 or bigger

Step-by-step explanation:

≥ means the number to the left is bigger or the same as the other so that means k is 2 or bigger

A 3 digit number is such that twice the hundreds digit is more than the tens digit by 2.The digit is thrice the hundreds digit.When the digits are reversed, the number is increased by 594.Find the number.

Answers

Answer:

The number is -341

Step-by-step explanation:

Let the three digit number be represented as 100a+10b+c

Given

2a -b = 2 ---(1)

a = 3c ----(2)

100a+10b+c - 100c -10b -a = 594

99a -99c = 594 ---(3)

From 2 & 3 , we get -

99*a - (99*3*a) = 594

99*2 a = 594

a = -3

a = 3c, c = -1

2*-3 -b = 2, b = -4

Number is -341

Find the volume of the cone round your answer to the nearest tenth

Answers

Answer= V=134.04

V=πr2h

The net of a square pyramid and its dimensions are shown in the diagram. What is the total surface area of the pyramid in square meters?

Answers

Answer: the general formula for the total surface area of a regular pyramid isbT. S. A. =12pl+B where p represents the perimeter of the base

PLZ ANSWER THIS I CANT FIGURE OUT THE SECOND ONE

(INSTANTANEOUS ROC)

I will give you brainiest if you answer it right

Answers

Answer:

Step-by-step explanation:

The first one is actually 0 I think. The instantaneous ROC at x=1 should also be 0. The last one should be correct.

Basically, the ROC for the first one is 0 because the y value at the start and end of the interval is the same, so the change is the same. However, for the instantaneous ROC at x = 0, you look at the graph and realize that if you find the derivative at that point, it is 0.

PLEASE SOMEONE HELP!!!!

Answers

Answer:

Area of Floor= (12*30)+ (20*10)

=360+ 200= 560

Ans C

You invest $500 in an account that pays 6% interest compounded continuously. How
much will be in the account after 6 years?

Answers

Answer:  716.66 dollars

=====================================================

Explanation:

We'll apply this formula

A = P*e^(r*t)

where,

A = account balance after t yearsP = initial deposit, aka principale = special constant roughly equal to 2.718 but it goes on forever without a pattern; it's better to let the calculator handle this value rather than type the decimal digits in.r = annual interest rate in decimal formt = number of years

In this case, we have

P = 500r = 0.06t = 6

Again we won't type "2.718..." for 'e', and we'll just type it into the calculator as shown below. That way the calculator can handle the digits instead.

So...

A = P*e^(r*t)

A = 500*e^(0.06*6)

A = 716.66470728026

A = 716.66 dollars is the final answer

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