Points P,Q,R,and S are collinear. Point Q is between P and R, R is between Q and S. If PS=25, and PR=19, what is the value of QR

Answers

Answer 1

Answer:

13

Step-by-step explanation:

The questions is incomplete. Here is the complete question.

Points P,Q,R,and S are collinear. Point Q is between P and R, R is between Q and S where  PQ ≈ RS. If PS=25, and PR=19, what is the value of QR

If points P,Q,R,and S are collinear, this means that the four points lies on the same straight line.

If Point Q is between P and R, then PQ+QR = PR ........... 1

Also if R is between Q and S, then QR+RS = QS ...... 2

Given

PS=25

PR=19

RS = PS-PR

RS = 25-19

RS = 6

Since PQ ≈ RS

Hence PQ = RS = 6

From equation 1;

PQ+QR = PR

substituting the resulting values

6+QR = 19

QR = 19-6

QR = 13

Hence the value of QR is 13


Related Questions

Divide 60kg in the ratio 5:7

Answers

Step-by-step explanation:

Hey there!!

Given, The ratio is: 5:7

Let x be a common factor.

Now,

5x+7x = 60

12x = 60

[tex]x = \frac{60}{12} [/tex]

Therefore, x= 5.

5x = 5×5 = 25.

7x= 7×5=35.

Hope it helps...

How do I solve this?

Answers

Answer:

Step-by-step explanation:

The first thing you have to do, is rewrite the given expression

[tex]Ar^{-2} = \frac{A}{r^{2} }[/tex]

Then you plug in the given values

[tex]\frac{A}{r^{2} } = \frac{50.265}{4^{2} }[/tex]

Finally you simplify

[tex]\frac{50.265}{4^{2} }=\frac{50.265}{16} = 3.142[/tex]

Solve for v.
-8v+3(v-3) = 16

Answers

Hi there! :)

Answer:

[tex]\huge\boxed{v = -5}[/tex]

-8v + 3(v - 3) = 16

Distribute the 3:

-8v + 3(v) + 3(-3) = 16

-8v + 3v - 9 = 16

Combine like terms and simplify:

-5v - 9 = 16

-5v - 9 + 9 = 16 + 9

-5v = 25

Divide both sides by -5:

-5v/(-5) = 25/(-5)

v = -5.

V=-5 I believe that’s the answer

Melissa needs to mix 2 cups of baking soda with 3 cups of vinegar to make a claening solution. How many cups of baking soda are needed for each cup of vinegar?

Answers

1.25 I think these are just extra characters ignore this

Answer: 2/3 cups

Step-by-step explanation:

To find out how many cups of baking soda are needed for each cup of vinegar divide the number of cups of baking soda by the number of cups of vinegar  

2/3 = 0.6666..

Which means you need 2 thirds cups of soda for each cup of vinegar.

Evaluate the expression for x = 1
x - 5

Answers

Answer:

-4

Step-by-step explanation:

We are given the expression:

[tex]x-5[/tex]

and asked to evaluate for x=1. Therefore, we must substitute 1 in for x.

[tex]x-5, x=1[/tex]

[tex]1-5[/tex]

Perform the operation. Subtract 5 from 1.

[tex]-4[/tex]

The expression x-5 when evaluate for x=1 is equal to -4.

Will you brainliest!!! Only question 10-14!

Answers

Answer:

10. <PTR = 80

11. < PTQ = 45

12. <QTS = 130 - 45 = 85

13. Luis didn't subtract 80 by 40

14. 180

what are the two ways that rational numbers are written as decimals

Answers

Answer:

Repeating Decimals and Terminating Decimals

Step-by-step explanation:

Any number that can be written in fraction form is a rational number.

Hope This Helps :)

On approximately what percent of the days was the rainfall more than 15 mm?


Answers

Answer: monday aug 13

Step-by-step explanation:

What is the image of the point (-9, -8) after a rotation of 90° counterclockwise
about the origin?

Answers

Answer:

-x,y

Step-by-step explanation:

The coordinates of the image (9, -8) after a rotation of 90° counter-clockwise about the origin.

What is a graph?

A graph can be defined as a pictorial representation or a diagram that represents data or values.

What is a scale image?

Scale image is defined as a ratio that represents the relationship between the shape and size of a figure and the corresponding dimensions on the actual figure or object

A rotation of 90° counter-clockwise about the origin is defined as the x-coordinate and y-coordinate change places, and the line y = x is the coordinates (-x , y).

To determine the image of the point (-9, -8) after a rotation of 90° counterclockwise about the origin

Suppose, the coordinates are (a,b)

A point (a,b) reflected across the line y = -x will become (-a,b).

Let a = -9 and b = -8

Substitute the values of a and b,

So the coordinates of image (9, -8)

Hence, the coordinates of the image (9, -8) after a rotation of 90° counter-clockwise about the origin.

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if c(x) = 4x - 2 and d(x)= x2 + 5x, what is (c.d)(x)?​

Answers

Answer:

4x^3 + 18x^2 - 10x.

Step-by-step explanation:

(c.d)(x) = (4x - 2)(x^2 + 5x)

= 4x^3 + 20x^2 - 2x^2 - 10x

= 4x^3 + 18x^2 - 10x.

What is 3x3x4x4x3x4 using exponents

Answers

Answer:

1728

Step-by-step explanation:

[tex]3 \times 3 \times 3 \times 4 \times 4 \times 4 \\ [/tex]

[tex] = > {3}^{3} \times {4}^{3} [/tex]

As both 3 & 4 have same exponent , the bases will get multiplied with exponent as 3.

[tex] = > {(3 \times 4)}^{3} [/tex]

[tex] = > {12}^{3} = 1728[/tex]

1728 is the value of  3x3x4x4x3x4

What is Number system?

A number system is defined as a system of writing to express numbers.

The given expression is  3x3x4x4x3x4

The operator in the given expression is multiplication.

Which is also know as product

Multiplication is a method of finding the product of two or more numbers

3x3x4x4x3x4 can be written in exponent form.

As three is multiplied three times we can take as 3³

four  is multiplied three times we can take as 4³

So 3³×4³

27×64

1728

Hence, 1728 is the value of  3x3x4x4x3x4

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elsa bakes a small cake for her family. first her sister has one quarter and her mom ate one third. how much cake was left for else?

Answers

Answer:

5/12 cake was left for everyone else

Step-by-step explanation:

1/4 + 1/3

convert so denominators are equal

1/4 x 3 = 3/12

1/3 x 4 = 4/12

3/12+4/12=7/12

12/1-7/12= 5/12

Answer:

4/9

Step-by-step explanation:

How can you write the statement "Obtuse angles have a greater measure than acute angles" so that it is a good definition?

Answers

Answer:

Obtuse angles have a measure that is greater than 90 but less than 180 degrees, while acute angles have a measure that is less than 90 but greater than 0.

Step-by-step explanation:

Obtuse angles have a measure that is greater than 90 but less than 180 degrees because 180 degree angle is a straight angle. Any angle that is greater than 181 but less than 360 degrees is known as a reflex angle. Acute angles have a measure that is less than 90 but greater than 0 because anything with a higher of lower degree of measure would be consider a different angle.

congruence transformation pls help me thanks

Answers

Answer:

X,6,1

Step-by-step explanation:

i mean thats what i think the answer is.

it flips down over the x axis. (x)

then it moves right 6 (x+6)

then it moves up one (y+1)

Help please!!! 15 points!

Answers

(3,8) should be plotted on the 1st quadrant.

Hope this can help.

Evaluate this expression for b= 3, and a=2. b-a

Answers

substitute the values in the expression
b-a=3-2=1
answer b-a=1

Answer: 1

Explanation: In this problem, b - a is equal to 3 - 2 which gives us 1.


Part I: Describe how the account balance of a savings account earning simple interest is determined.

Part ll: Explain the difference between a savings account earning simple interest and a savings account earning compound interest.

Part Ill: Which type of savings account would you open and why?

Answers

Answer:

part 1: You start with an annual "simple interest rate," which is the percentage of the principal balance your money earns each year. ... Add the daily interest earned to the balance.

part 2: Simple interest is based on the principal amount of a loan or deposit. In contrast, compound interest is based on the principal amount and the interest that accumulates on it in every period.

part 3: a compound interest account and here's why. When it comes to investing, compound interest is better since it allows funds to grow at a faster rate than they would in an account with a simple interest rate

Step-by-step explanation:



PLEASE HELP !!!



Robin Hood fooled King John when he gave

him 3/6 of the coins. You could say that he

Input the fraction 1/2 (x) and his output was

3/6 (y). The function that caused that output

was multiplying both the numerator and the

denominator by 3.



Answers

Step-by-step explanation:

This is a common knowledge of equivalent fractions.

Multiplying both the numerator and denominator of a fraction by the same quantity does not change the value of the fraction.

Not only multiplication, but division also works. What ever operation performed on the numerator must also be performed on the denominator.

1/2 = 2/4 = 4/8 = 16/32

Toni can carry up to 18 lb in her backpack. Her lunch weighs 1 lb, her gym clothes way 2 lb, and her books (b) weigh 3 lb each. how many books can she carry in her backpack?

Answers

Answer:

Toni can carry a total of 5 books.

Step-by-step explanation:

[tex]1+2+3b\leq18[/tex] - Write the inequality out .

[tex]3+3b\leq 18[/tex] - Combine like terms.

 

[tex]3b\leq 15[/tex]  - Subtract 3 from both sides .

[tex]b\leq 5[/tex] -  Divide both sides by 3.

She can carry a max of 5 books.

Hope this helps!

Pencils are sold in packages of 10, and erasers are sold in packages of 6. What is the least number of pencils and erasers you can buy so that there is one pencil for each eraser with none left over?

Answers

You will have to buy 3 packs of pencils and 5 packs of erasers.

what is the difference between equality and inequailty

Answers

Answer:

Step-by-step explanation:

Inequality and equality is that inequality is an unfair, not equal state while equality is (uncountable) the fact of being equal.

Given that sin(90 -5thetha) = Cos(180 - 0),
Find the value of theta​

Answers

Answer:

θ = 54 - π/10 - (2 π n_1)/5 for n_1 element Z

or θ = -18 - π/10 - (2 π n_2)/5 for n_2 element Z

Step-by-step explanation:

Solve for θ:

sin(90 - 5 θ) = cos(180)

Hint: | Express the right hand side in terms of sine.

Rewrite the right hand side using cos(θ) = sin(θ + π/2):

sin(90 - 5 θ) = sin(π/2 + 180)

Hint: | Eliminate the sine from the left hand side.

Take the inverse sine of both sides:

90 - 5 θ = -180 + π/2 + 2 π n_1 for n_1 element Z

or 90 - 5 θ = 180 + π/2 + 2 π n_2 for n_2 element Z

Hint: | Look at the first equation: Isolate terms with θ to the left hand side.

Subtract 90 from both sides:

-5 θ = -270 + π/2 + 2 π n_1 for n_1 element Z

or 90 - 5 θ = 180 + π/2 + 2 π n_2 for n_2 element Z

Hint: | Solve for θ.

Divide both sides by -5:

θ = 54 - π/10 - (2 π n_1)/5 for n_1 element Z

or 90 - 5 θ = 180 + π/2 + 2 π n_2 for n_2 element Z

Hint: | Look at the second equation: Isolate terms with θ to the left hand side.

Subtract 90 from both sides:

θ = 54 - π/10 - (2 π n_1)/5 for n_1 element Z

or -5 θ = 90 + π/2 + 2 π n_2 for n_2 element Z

Hint: | Solve for θ.

Divide both sides by -5:

Answer: θ = 54 - π/10 - (2 π n_1)/5 for n_1 element Z

or θ = -18 - π/10 - (2 π n_2)/5 for n_2 element Z

What is the value of x/4y, when x=16 and y=2

Answers

Answer:

2

Step-by-step explanation:

First let’s add the x, y into the fraction.

16/4(2)

Now simplify,

16/8=

2/1=

2

16 divided by 4 x 2
So 4x2 is 8
And 16/8 is 2
So your answer would be 2.....
I think

A car travel 126 miles in 3 hours at this rate how many miles can the car travel in 4 hours

Answers

Answer:

168miles

Step-by-step explanation:

if it travels 126 miles in 3 hours

then in 1 hour it travels 126÷3 = 42miles

4 hours= 4×42= 168 miles

PLEASE HELP IM TRYING TO CATCH UP!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

hello guys images not coming

Step-by-step explanation:

please send the image clearly

find an equation of the line passing through the point (5 4) and parallel to the line whose equation is y= 2x-6

Answers

Answer:

[tex]y = 2x - 6[/tex]

Step-by-step explanation:

Given

Equation: [tex]y = 2x - 6[/tex]

Required

Determine the equation of Point: (5,4)

First, we need to determine the slope of [tex]y = 2x - 6[/tex]

The general form of an equation is [tex]y = mx + b[/tex]

Where m represents the slope;

Hence; [tex]m =2[/tex]

Since the equation and the point are parallel. then they have the same slope (m).

[tex]m = 2[/tex]

Next, is to determine the equation of the point, using the following formula:

[tex]m = \frac{y - y_1}{x - x_1}[/tex]

Where

[tex](x_1,y_1) = (5,4)[/tex]

So, the equation becomes

[tex]2 = \frac{y - 4}{x - 5}[/tex]

Cross Multiply

[tex]y - 4 = 2(x - 5)[/tex]

Open Bracket

[tex]y - 4 = 2x - 10[/tex]

Make y the subject of formula

[tex]y = 2x - 10 + 4[/tex]

[tex]y = 2x - 6[/tex]

Hence, the equation is [tex]y = 2x - 6[/tex]


Cows and Chickens
A chicken farmer also has cows for
a total of 30 animals, and the
animals have 66 legs in all.
How many chickens does the farmer have?

Answers

Answer:

27 Chickens

Step-by-step explanation:

Represent the chicken with A and the cows with B

Given

[tex]A + B = 30[/tex]

A has 2 legs and B has 4; So:

[tex]2A + 4B = 66[/tex]

Required

Determine A and B

Make B the subject of formula in the first equation

[tex]B = 30 - A[/tex]

Substitute 30 - A for B in the second equation

[tex]2A + 4(30 - A) = 66[/tex]

Open the bracket

[tex]2A + 120 - 4A = 66[/tex]

Collect Like Terms

[tex]2A - 4A = 66 - 120[/tex]

[tex]-2A= -54[/tex]

Divide through by -2

[tex]A = 27[/tex]

Hence, the farmer has 27 chickens

chris and jeff sold 15 pounds of trail mix . they sold the trail mix for $3.98 per pound . How much money did they collect ​

Answers

Answer:

The anwser I got was 59.7

Step-by-step explanation:

I am in 7th grade so I most likley got the wrong anwser but Multipled 3.98 by 15 and got 59.7

(7x^3)(3x^7) your answer should be a monomial in standard form

Answers

Answer:

i think its 21x^10

Step-by-step explanation:

what is sin 63°? round your answer to the nearest hundredth

Answers

Answer:

0.89

Step-by-step explanation:
it was right

The value of the trigonometric function sin 63° is 0.89. So option C is correct.

What is trigonometry?

Trigonometry is a branch of mathematics, which deals with the study of right angle triangles. Trigonometry is concerned with specified functions of angles and their applications to calculations.

There are 6 commonly used functions in trigonometry with their name and abbreviations-

sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), cosecant (cosec)

Given that,

the trigonometric function is sin63°

the value of sin63° = ?

One of the way to calculate the value of sin63° is by using calculator

And from the calculator its value can be estimated as 0.89100

After round figure up-to two  digit

we can write the value sin63° is 0.89.

Hence, the value of the function from the calculator is comes out as 0.89.

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