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


Name each pair of angles as corresponding, alternate interior, alternate exterior, or consecutive. Then solve for x.

Answers

Answer:

x = -2

Step-by-step explanation:

These 2 angles are alternate exterior so they're equal to each other.

x + 127 = 125

x = 125 - 127

x = -2

Help me find the answer
Tan 0 and Cot O ​

Answers

Answer:

Step-by-step explanation:

we can say the angle is also +45° going in the clock wise direction.  so take Tan(45)= 1

Cot(45) = 1

b/c  Tan(45) = Sin(45) /Cos(45) = ([tex]\sqrt{2}[/tex]/2) / ([tex]\sqrt{2}[/tex]/2)   ofc that's just 1

b/c Cot(45) = Cos(45) / Sin(45) , which is the same as above 1

Please help.
Is algebra.
PLEASE HELP NO LINKS OR FILES

Answers

Answer:

i can't see clear

You deposit $3000 in an account that earns 7% interest compounded semiannually . After 10 years, the interest rate changes to 7.25% compounded quarterly. What will be the value of the account after 16 total years?

Answers

Answer:

see the images below

Easton needed to get his computer fixed. He took it to the repair store. The technician
at the store worked on the computer for 3.25 hours and charged him $196 for parts.
The total was $342.25. What was the cost of labor, per hour?

Answers

Answer:

if i did all the math right it is $45 and hour

Step-by-step explanation:

$342.25 - $196 = $146.25

$146.26 ÷ 3.25 = $45. so $45 an hour

Which of the ratios below is equivalent to 1:8? Select all that apply.
A) 16:2
B) 3:24
C) 4:12
D) 5:40
E) 7:56

Answers

Answer:

B) 3:24

D) 5:40

E) 7:56

Step-by-step explanation:

3x8= 24

3:24= 1:8

5x8= 40

5:40= 1:8

7x8= 56

7:56= 1:8

What is the number for x?

Answers

Answer:

The answer is A: 15

Step-by-step explanation:

The full equation is, 15/75 = 5

Answer:

C) 375

Step-by-step explanation:

Multiple 75 on both sides, which eliminates the denominator 75.

[tex]\frac{x}{75} = 5\\x = 5(75)=375[/tex]

1_4/5 + 2_1/10 pls help

Answers

Answer:

3.9

Step-by-step explanation:

please mark this answer as brainliest

Michael is considering four different job offers. He estimates that 12% of his income will go to his taxes. He created a table in order to determine how much his take home pay will be from each job.

Answers

Answer:

Michael's take home pay from each job are;

[tex]\begin{array}{cccc}Gross \ Income& Take \ home \ Pay\\\$1,250& \$1,100\\\$1,525 &\$1,342\\\$1,850&\$1,628\\\$2,200&\$1,936\\\\Sum&\$6,006\end{array}\\[/tex]

Step-by-step explanation:

The given parameters are;

The percentage of Michael's income that he estimates will go to his taxes = 12%

The number of jobs Michael has = Four jobs

The table Michael created can be presented and the estimated taxes and the take home pay entered as follows;

Tax owed = Gross income × Tax percent

Take home pay = Gross income - Tax owed

[tex]\begin{array}{cccc}Gross \ Income& Multiplied \ by \ Tax \ Percent &Taxes \ Owed& Take \ home \ Pay\\\$1,250&\times \ 0.12 =&\$150& \$1,100\\\$1,525 &\times \ 0.12 =&\$183&\$1,342\\\$1,850&\times \ 0.12 =&\$222&\$1,628\\\$2,200&\times \ 0.12 =&\$264&\$1,936\\\\Sum&&\$819&\$6,006\end{array}\\[/tex]

Find the measure of x if the measure of arc DC= 95 degrees

Answers

Answer:

190 I think, if that’s one of your answer choices.

Step-by-step explanation:

The measure of x if the measure of arc DC= 95 degrees is: 47.5.

Measure of arc DC

Based on the diagram, since the angle is half of the arc in order to determine the measure of x will would divide 95 degree by 2 .

Hence:

Measure of x= 95/2

Measure of x= 47.5

Inconclusion the measure of x if the measure of arc DC= 95 degrees is: 47.5.

Learn more about measure of arc DC here:https://brainly.com/question/15401736

UMMM WHAT.... I NEED HELP ASAP

Answers

Answer:

try using photomath, it might help you with the graph

Answer:

the one on the bottom

Step-by-step explanation:

A 1200 kg car and a 2400 kg car are lifted to the same height at a constant speed in a auto service station. Lifting the more massive car requires ____ work.

Answers

to be honest with you, I dont know

The work required to lift the massive car of 2400 kg is more than lifting the car with 120 kg

What is Work?

Work is defined as the energy that is applied to or removed from an object by applying force along a displacement. For a constant force acting in the same direction as the motion, the work is defined as the product of the force's magnitude and the distance traveled. The dimensions of work is

ML²T⁻² and the SI unit of work is Joule

Work = Force x Distance

The SI unit for work is the joule (J), or newton meter ( Nm ). One joule equals the amount of work that is done when 1 N of force moves an object over a distance of 1 m

Given data ,

Let the work required to move the 2400kg car be W₁

Let the work required to move the 1200kg car be W₂

Now , the force in moving the 2400 kg car = F₁

The value of F₁ = 2400 ( a )

And , the force in moving the 1200 kg car = F₂

The value of F₂ = 1200 ( a )

where a is the acceleration

Let the distance moved be height H

Now , the work W₁ = Force x Distance

Substituting the values in the equation , we get

W₁ = 2400 ( a ) H

And , W₂ = 1200 ( a ) H

Now , W₁ > W₂

Hence , the work required to move 2400 kg car is greater

To learn more about work click :

https://brainly.com/question/9678365

#SPJ6

Help!

An airplane takes off at an angle of 15 degrees with the ground. To the nearest 10 feet, how far has the airplane flown when it has covered a horizontal distance of 1800 feet?

Answers

Answer:

1738.67 feet

Step-by-step explanation:

Imagine a right angles triangle, with the base length of 1800ft and the angle between the base and the hypotenuse to be 15 degrees.

Now, we have to calculate the hypotenuse length, using trigonometric ratios

The ratio that links adjacent side and hypotenuse is cos

So, write an equation:

cos(15) = Adjacent/Hypotenuse  = 1800/H

Rearrange to solve.

H = cos(15) x 1800 = 1738.67

This is the distance flown by the aeroplane .

Hope this helps

I have no clue how to start this !! Please help

Answers

Answer:

Should be obtuse

A rocket is launched into the air. The height h(t), in yards, of the rocket is a function of time, t, in seconds, as shown in the following table.

What is the rocket's average rate of change from 3≤t≤6 in yards/second?
Enter your answer as a number, like this: 42

Answers

Answer:

From 3 to 6 seconds, the rocket is falling 11 yards per second.

Step-by-step explanation:

Normal pace of progress is exactly the same thing as the slant. Since this is explanatory, we can't track down the specific pace of progress as we could if this were a straight capacity. Be that as it may, we can utilize a similar thought. At the point when t = 3, h(t) = 33, so the organize point is (3, 33). At the point when t = 6, h(t) = 0, so the facilitate is (6, 0). Attachment those qualities into the incline recipe:  

m= 0-33/6-3 and m=-33/3 which is 11  

From 3 to 6 seconds, the rocket is falling 11 yards each second.

Brainliest?

2x-7=-3x9 what value of x would make this equation true

Answers

Answer:

17

Step-by-step explanation:

Please help me <3 If possible please add an explanation? Tysm <3

Answers

here you go

instead of giving you a link like that other person, here are some actual screenshots instead, youre welcome ;D

The wholesale price for a chair is $165. A certain furniture store marks up the wholesale price by 20%. Find the price of the chair in the furniture store. Round your answer to the nearest cent, as necessary.

Answers

Answer:

$198

Step-by-step explanation:

Given data

WholeSale price= $165

Markup = 20%

Let us find the amount of the markup

=20/100*$165

=0.2*165

=$33

Hence the cost of the chair will be

=33+165

=$198

Hailey is designing a new board game, and is trying to figure out all the possible
outcomes. How many different possible outcomes are there if she rolls a fair die in
the shape of a pyramid that has four sides labeled 1 to 4 and spins a spinner with four
equal-sized sections labeled Red, Green, Blue, Orange?

Answers

Given:

Numbers on die = 1, 2, 3, 4

Colors on board = Red, Green, Blue, Orange (equal sized sections)

To find:

The number of different possible outcomes are there if she rolls a fair die in the board.

Solution:

According to the given information,

The total possibilities for numbers = 4

Total possibilities for colors = 4

Total possibilities = Possibilities for number × Possibilities for colors

                             = [tex]4\times 4[/tex]

                             = [tex]16[/tex]

So, total 16 possible outcomes are there if she rolls a fair die in the board.

Let Red=R, Green=G, Blue=B, Orange=O, then list of total possible outcomes is:

{1R,1G,1B,1O,2R,2G,2B,2O,3R,3G,3B,3O,4R,4G,4B,4O}

Therefore, the total possible outcomes are 16 and the lies of outcomes is {1R,1G,1B,1O,2R,2G,2B,2O,3R,3G,3B,3O,4R,4G,4B,4O}.

Answer: 8

Step-by-step explanation:

i saw one like the answser it said do 4 x 4 and got 16 then i answer it and got it wrong so i did 4 plus 4

X/3 + 4<6 pls help will mark branliest

Answers

Answer:

x < 6

Step-by-step explanation:

[tex]\frac{x}{3}+4 < 6[/tex]

Subtract 4 form both sides

[tex]\frac{x}{3}<6-4\\\\\frac{x}{3}<2[/tex]

Multiply both sides by 3

[tex]x < 2*3\\\\x < 6[/tex]

Answer:

X = 5.9- meaning 5.9 or anything under that or lets just say 5 because 5/3 = 1.6 + 4 = 5.6

Step-by-step explanation:

Have a nice day

sorry if its wrong

Please help me asap. No links or I will report you
8th Grade

Answers

Answer:

D. square root of 7 to the power of 3

R. b=6/8

please answer if you know the answer

Answers

Answer:

2:5, 5:2

Step-by-step explanation:

Lets use 30 and 12. 12 divided by 30 is 0.4, which reduced is 2:5, or u can write 0.4. Thats oil to flour

But opposite numbers for flour to oil, bc of common sense.

Hope this helps(would be appreciated if you mark this answer brainliest bc need for lvl up. )

2:5 i think is for the first one

The measure of the vertex angle of an isosceles

triangle is 76 . Find the measure of a base angle.

Answers

Answer:

52

Step-by-step explanation:

Let each of the base angles = x

x + x + 76 = 180                 Subtract 76 from both sides

x + x = 104                         Combine the 2 xs

2x = 104

x = 52

Each base angle has a measure of 52

∠C and \angle{D}∠D are vertical angles. If the m\angle{C} m∠C=66o, then what is the m\angle{D} m∠D ?

Answers

Answer:

The measure of angle D is of 66º.

Step-by-step explanation:

Vertical Angles:

If two angles are vertical, they have the same measure.

In this question:

Angles C and D are vertical.

Angle C measures 66º.

So the measure of angle D is of 66º.

if p is inversely proportional to the square of q, and p is 9 when q is 5, determine p when q is equal to 3

Answers

Answer: tell me if i am wrong

p = 304

Step-by-step explanation:

Given p is inversely proportional to q² then the equation relating them is

p = [tex]\frac{k}{q^{2} }[/tex] ← k is the constant of proportion

To find k use the condition p = 19 when q is 8, then

19 = [tex]\frac{k}{8^{2} }[/tex] =[tex]\frac{k}{64}[/tex]  ( multiply both sides by 64 )

k = 1216

p = [tex]\frac{1216}{q^{2} }[/tex] ← equation of proportion

When q = 2, then

p =  [tex]\frac{1216}{2^{2} }[/tex]=[tex]\frac{1216}{4}[/tex]=304

write an expression for the number of days in y hours.

Answers

Answer:

The number of days in y hours is y/24

Step-by-step explanation:

Here, we want to write an expression

Mathematically;

1 day = 24 hours

? days = y hours

? days = (y * 1)/24

? days = y/24

Please help asap. No links for a answer or I will report you
8th Grade

Answers

Answer= b
Because all the other choices are quadratic

Answer:

B

Step-by-step explanation:

A linear function is described by a x term to the power of 1 or even 0. A function when x is to the second power is most usually not a linear function.

In answer A, you have x multiplied against -3x. This will cause an x squared term, so this is not a linear function.

In answer B, you have 1/2 multiplied against x, which is a regular x term subtracted by 2x, causing a regular x term, meaning this function is linear. However, in the small possibility it is not, we will keep going.

In answer C, there is an x squared term so this is not linear.

In answer D, the expression has 1/2x times 2x, which will cause an x squared term.

Thus, the answer is B, which is the only equation without an x squared term.

10 people were asked if they agree that there should be more school days. Of these, 5 responded yes. What percent agreed?

Answers

Answer:

50% agreed

Step-by-step explanation:

Answer:

50%

Step-by-step explanation:

5/10 = .5

.5x100 =50

so the answer is 50%

Solve using the quadratic equation.
[tex]3x^{2} -6x-24[/tex]
Solution 1: ___
Solution 2: ___

Answers

Answer:

X = 4

X = -2

Step-by-step explanation:

Rate And Like. Salute.

What is 20.0384 rounded to the nearest hundredth?

Answers

Answer:

20.04

Step-by-step explanation:

Answer:

20.04

Step-by-step explanation:

The three is in the hundredths place:

find your place (3)

look next door (8)

5 or greater add one more so 4

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