find the measure of the line segment RQ​

Find The Measure Of The Line Segment RQ

Answers

Answer 1
Answer:  RQ = 48

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

Work Shown:

RS*QS = (TS)^2

RS*(QR+RS) = (TS)^2

27*(5x-12+27) = (45)^2

27*(5x+15) = 2025

135x+405 = 2025

135x = 2025-405

135x = 1620

x = 1620/135

x = 12

Use this to find the length of QR, which is the same as RQ

QR = 5x-12

QR = 5*12-12

QR = 60-12

QR = 48

Answer 2

9514 1404 393

Answer:

  RQ = 48

Step-by-step explanation:

The product of secant segment lengths to the points of intersection with the circle is the same for both secants. The tangent is a degenerate case where the two points of intersection are the same.

  ST·ST = SR·SQ

  SQ = ST^2/SR = 45^2/27 = 75

  RQ = SQ -SR = 75 -27

  RQ = 48


Related Questions

If 2 angles are vertical and one angle is 44 degrees,find the other angle?

Answers

Answer:

Step-by-step explanation:

Then the other angle must be 44 degrees as well.

The length of a room is 2 metre longer than its breadth if the area of the room is 63 square metre find the length and the breadth of the room​

Answers

Answer:

7 metre

Step-by-step explanation:

Let the breadth of the room is x.m. , then the length is (x+2).m. , accordingly:-

(x+2).x. = 63.

or, x^2 +2 x - 63 = 0.

or, (x + 9).(x -7) =0.

or, x = - 9 (not valid) , 7 .

Thus , the length = (x+2).m.= (7+2) = 9.m. , breadth = x .m. = 7.m. , Answer.

hope it helps! please mark me brainliest..

Merry Christmas good day

Solve for x. -1/5(x - 4) = -2

Answers

Answer:

x=14

Step-by-step explanation:

When you calculate your regression line, you are: Group of answer choices Minimizing the sum of the errors Finding the error for each observation, squaring the error and minimizing the sum Finding the absolute value of the error terms and minimizing the sum of the absolute values

Answers

Answer:

Finding the error for each observation, squaring the error and minimizing the sum

Step-by-step explanation:

The regression line is a straight line which gives a description of how the dependent variable y changes as changes occur in the independent variable X. It gives a prediction of the value of Y for any given value of X.

The method of least squares is used for squaring the error and also used for minimising the sum. Therefore, when you calculate the regression line, you would be Finding the error for each observation, squaring the error and minimizing the sum.

in the figure angle D measures 31 and angle a measures 27



The measurement of angle B is
The measurement of angle F is​

Answers

Answer:

Angle b is 63

Angle f is 59

Step-by-step explanation:

Amplitude: 6 Period: 44
Phase shift:

Answers

I don’t understand, sorry I need more context lol

Step-by-step explanation:

provide more details, please

Plot the points O(0,0) R(1,4) C(−4, −1)and K(−4, 8)to form triangles ∆ORK and ∆OCK. Decide the relationship between m∡KOC and m∡KOR. Be sure to justify with any algebra and theorems !

Answers

Answer:

i think its c

Step-by-step explanation:

a hollow cylindrical metallic pipe is 21 cm long if the external and internal diameter of the pipe are 12cm and 8cm respectively find the volume of metal used in making the pipe​

Answers

Answer:

The volume of the metal used to make the pipe is [tex]\mathbf{1,680\pi\ cm^3}[/tex]

Step-by-step explanation:

The Volume of a Cylinder

Given a right cylinder of base radius r and height h, the volume is calculated as follows:

[tex]V=\pi r^2h[/tex]

We are given the dimensions of a cylindrical metallic pipe whose external diameter is de=12 cm and the internal diameter is di=8 cm. The height is h=21 cm.

The volume of the metal used in making the pipe is the difference between the external volume and the internal volume.

Calculating the external volume:

[tex]V_e=\pi r_e^2h[/tex]

[tex]V_e=\pi 12^2*21[/tex]

[tex]V_e=3,024\pi\ cm^3[/tex]

Calculating the internal volume:

[tex]V_i=\pi r_i^2h[/tex]

[tex]V_i=\pi 8^2*21[/tex]

[tex]V_i=1,344\pi\ cm^3[/tex]

The volume of metal is:

[tex]V_m=V_e-V_i=3,024\pi\ cm^3-1,344\pi\ cm^3[/tex]

[tex]V_m=1,680\pi\ cm^3[/tex]

The volume of the metal used to make the pipe is [tex]\mathbf{1,680\pi\ cm^3}[/tex]

the area of a rectangle is 72cm2, in which the width is twice the length. what are the dimensions

Answers

Answer:

Dimension: 2inches by 4 inches

Step-by-step explanation:

Given

[tex]Width = 2wice\ Length[/tex]

Required

Determine the dimension.

This is calculated as :

[tex]Area = Length * Width[/tex]

[tex]A = L * W[/tex]

So:

[tex]A=L * 2L[/tex]

[tex]A=2L^2[/tex]

Substitute 72 for A

[tex]72=2L^2[/tex]

Divide bith sodes by 2

[tex]36 = L^2[/tex]

Take square root of both sides

[tex]L = 6[/tex]

Recall that:

[tex]Width = 2 * Length[/tex]

Hence:

[tex]LEnhth= 0 * 2[/tex]

[tex]LEnhth= 2[/tex]

Hence, the dimension is: 2 by 3 inches

help pls (fill in the blank)

Answers

answer:
2
14
56

substitute the values


-3224 base 5 -3434 base 5

Answers

I guess you're asking to compute the difference,

-3224₅ - 3434₅

Ignore the minus signs for now, and consider the sum

3224₅ + 3434₅

In the 5⁰ place (the rightmost digit) we have

4₅ + 4₅ = 8 = 13₅

Carry the 1 to the next place. In the 5¹ place,

2₅ + 3₅ + 1₅ = 6 = 11₅

Carry the 1. In the 5² place,

2₅ + 4₅ + 1₅ = 7 = 12₅

Carry the 1. In the 5³ place,

3₅ + 3₅ + 1₅ = 7 = 12₅

So,

3224₅ + 3434₅ = 12213₅

and hence

-3224₅ - 3434₅ = -12213₅

which sentence contains a metapohor?

Answers

Answer:

The last one

Step-by-step explanation:

its comparing 2 things without using like or as

Answer:

The park road would be a black ribbon rippling through the majestic landscape

I'm pretty sure :)

Step-by-step explanation:

Help me like seriously I don’t understand this at all

Answers

Answer:

option C

Step-by-step explanation:

Group common terms

8u³+7u³+7u²-6u+6+6

15u³+7u²-6u+12

Each of the following trinomials has a leading coefficient that is prime. Using a guess-and-check technique,
write each trinomial in its factored form. Show each guess and its check.
(a) 5x² - 41x+8
(b) 3x² + 4x - 20
I
(c) 2x - 29x-15
(d) 7x? +39x + 20

Answers

Answer:

14

Step-by-step explanation:

Solve for x and then part b) find JL. Have no clue how to go about this

Answers

9514 1404 393

Answer:

x = 4JL = 16

Step-by-step explanation:

a) You go about this by using the given equation.

  Left + Right = Total

  JK + KL = JL

  (2x -3) + 11 = 4x

  8 = 2x . . . . . simplify, subtract 2x

  4 = x . . . . . . divide by 2

__

b) JL = 4x = 4·4

  JL = 16

How many work cycles should be timed to estimate the average cycle time to within 5 percent of the sample mean with a confidence of 99.0 percent if a pilot study yielded these times (minutes): 4.0, 4.5, 5.0, 4.5, 4.5, and 4.0

Answers

Answer:

Following are thew solution to this question:

Step-by-step explanation:

Please find the complete question in the attached file.

Using formula:

[tex]\text{Margin of error} = \frac{(z \times \sigma) }{\sqrt{n}}[/tex]

n = the number of work cycles for 95 confidence interval

z-score = 1.96

So, [tex]\frac{(z \times \sigma)}{\sqrt{n}}[/tex] = [tex]\ Mean \times 0.02[/tex]  

[tex]\frac{(1.96 \times 0.376)}{\sqrt{n}} = 4.416666667 \times 0.02 \\\\\\[AVERAGE(4,4.5,5,4.5,4.5,4) = 4.416666667][/tex]

[tex]\sqrt{n} = \frac{(1.96 \times 0.376)}{(4.416666667 \times 0.02)} \\\\[/tex]

     [tex]= 8.342943396\\\\[/tex]

[tex]n = 69.6047045[/tex]

   [tex]= 70[/tex]

Using the sample size formula, the number of samples required is 919.

Standard deviation, σ = 0.376

From the data given :

Mean = (4 + 4.5 + 5 + 4.5 + 4.5 + 4) / 6 = 4.417Standard deviation = 0.376

Using the sample size relation thus:

[tex] n = (\frac{T_{critical}σ}{E})^{2}[/tex]

E = Margin of Error = 5% = 0.05Tcritical at 99%, df = 5 = 4.032 (T distribution table)

Substituting the values into the equation :

[tex] n = (\frac{4.032 \times 0.376 }{0.05})^{2}[/tex]

[tex] n = (\frac{1.516032}{0.05})^{2} = 919.34[/tex]

Hence, the sample size required is 919.

Learn more : https://brainly.com/question/25609130

Help Please 10 pointsssssssss

Answers

Answer:

A is false

Step-by-step explanation:

A triangle can be drawn with exactly 1 acute angle. FALSE

A triangle can be drawn with exactly one right angle. TRUE

A triangle can be drawn with more than one acute angle. TRUE

A triangle can be drawn with exactly one obtuse angle. TRUE

The equation -7(u+3)=49 is solved in several steps below.
For each step, choose the reason that best justifies it

Answers

Answer:

u = -25/7

Step-by-step explanation:

-7(u + 3) = 4

-7u -21 = 4 (distribute the -7)

-7u = 25 (add 21 to get -7u by itself)

u = -25/7 (divide by -7 by both sides to find the value of u)

Priya is sharing 24 apples equally with some friends. She uses division to determine how many people can have a share if each person gets a particular number of apples. For example, 24 ÷ 4 = 6 means that if each person gets 4 apples, then 6 people can have apples. Here are some other calculations:

Answers

Answer:

1 apple: 24 people

2 apples: 12 people

3 apples: 8 people

4 apples: 6 people

6 apples: 4 people

8 apples: 3 people

12 apples: 2 people

24 apples: 1 person

Step-by-step explanation:

The number of 6 people can have 4 apples each.

What is division?

The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.

Given:

Priya is sharing 24 apples equally with some friends.

She uses division to determine how many people can have a share if each person gets a particular number of apples.

For example, 24 ÷ 4 = 6 means that if each person gets 4 apples,

then 6 people can have apples,

= 24 ÷ 6

= 4

Therefore, 6 people can have 4 apples.

To learn more about the division;

https://brainly.com/question/13263114

#SPJ2

`y=2x+1` was a positive slope because...

Answers

Answer:

☆This is because ascending, not descending when looking on a graph.

☆The slope's number is a positive number.

21) A consumer group was interested in comparing the operating time of cordless toothbrushes manufactured by two different companies. Group members took a random sample of 18 toothbrushes from Company A and 15 from Company B. Each was charged overnight and the number of hours of use before needing to be recharged was recorded. Company A toothbrushes operated for an average of 119.7 hours with a standard deviation of 1.74 hours; Company B toothbrushes operated for an average of 120.6 hours with a standard deviation of 1.72 hours. The 90% confidence interval is (-1.93, 0.13). The correct interpretation is

Answers

Answer:

We accept H₀ we don´t have evidence of differences between the two toothbrushes

Step-by-step explanation:

Toothbrushes A

Sample mean                    μₐ = 119,7

Standard deviation           sₐ = 1,74

Sample size                        nₐ = 18

Toothbrushes B

Sample mean                    μ₀ = 120,6

Standard deviation           s₀ = 1,72

Sample size                        n₀ = 15

With  CI = 90 %      CI = ( -1,93 ; 0,13 ) that s the acceptance region for H₀

Test hypothesis    is      

H₀          μₐ =   μ₀  

Hₐ           μₐ ≠   μ₀  

We need to calculate t(s)  as

t(s) = (  μₐ -  μ₀ ) /Sₓ * √ (1/nₐ) + 81/n₀)

and see if it is insde CI

Sₓ  = (nₐ - 1 ) * sₐ² + ( n₀ - 1 ) * s₀² / nₐ + n₀ - 2

Sₓ  = 17*3,03 + 14*2,96 / 31

Sₓ  = (51,51 + 41,44 )/ 31

Sₓ = 2,998

t(s) = 0,9 / 2,998*√(1/18) + (1/15)

t(s) = 0,9 / 1,04

t(s) = 0,87

solve - 9/2y=27/2 for y.

Answers

Answer:

It’s y = 3

Step-by-step explanation:

Solve for y by simplifying both sides of the equation, then isolating the variable.

can someone help me please i don't understand the process ​

Answers

Answer:

Yes, because a triangle can have any lengths.

A triangle has many lengths hope u do good girl

You have $50. You have some $5 bills and some $10
bills. What are the possible amounts of each that you
could have? Let x be the number of $5 bills and y be the
number of $10 bills.

Answers

Answer:

10x + 5y = 50

Step-by-step explanation:

which is the correct answer?​

Answers

Step-by-step explanation:

Options B and C are wrong because 0 as a numerator is totally fine as a real solution.

In Option A,

15(x² - 1) = 10(3x - 3)

15x² - 45x + 30 = 0

x² - 3x + 2 = 0

(x - 1)(x - 2) = 0

x = 1 or x = 2.

This is correct as x cannot be 1 (dividing by zero).

In Option D,

(x + 2)(x - 1) = 40

x² + x - 42 = 0

(x - 6)(x + 7) = 0

x = 6 or x = -7.

In here x = 1 does not even appear in our working so it is not an extraneous solution (even though it is dividing by zero)

Hence the answer is A.

Express each ratio as a fraction in the simplest form.

21 beetles out 36 insects​

Answers

Answer:

8274

Step-by-step explanation:

kristen and brett found three different deals on the same smart tv they want to figure out which deal is better before tax

1.Original Price: $320
Discount: 15% off

2.Original Price: $349.99
Discount: 75% off

3. Original Price: $360
New Price: $280

Answers

Answer:

Option 2 would be the better deal, as long as they would only pay $ 87.37 for the smart TV.

Step-by-step explanation:

To determine which deal is better before taxes, the aforementioned discounts must be made at the original prices and their results compared, through the following calculations:

1)

320 - (320 x 15/100) = X

320 - 48 = X

272 = X

2)

349.49 - (349.49 x 75/100) = X

349.49 - 262.11 = X

87.37 = X

3)

280 = X

 

Therefore, as can be seen, option 2 would be the better deal, as long as they would only pay $ 87.37 for the smart TV.

In a remote village, a person used five beaver pelts

Answers

Answer:

what're we supposed to do?

Step-by-step explanation:

6 minutes to 16 minutes

Answers

Answer:

um im not sure if you need to simplify but then the answer would be 3 minutes to 8 minutes.

Tara's graduation picnic costs $2 for every attendee. Write an equation that shows the
relationship between the attendees x and the cost y.

Answers

Answer:

y = 2x

Step-by-step explanation:

Y = 2x

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