7) Line Segment PR is 5 ft. Find the length of Line Segment PQ and QR. (Hint: use the segment addition postulate.)

7) Line Segment PR Is 5 Ft. Find The Length Of Line Segment PQ And QR. (Hint: Use The Segment Addition

Answers

Answer 1

Answer:

PQ = 1 ft

QR = 4 ft

Step-by-step explanation:

From the picture attached,

Segment PR has been divided into two parts by a point Q.

Length of segment PR = 5 feet

Length of segment PQ = (15x - 2) ft

Length of segment QR = (5x + 3) ft

Since, PR = PQ + QR

5 = (15x - 2) + (5x + 3)

5 = 20x + 1

20x = 4

x = [tex]\frac{4}{20}[/tex]

x = 0.2

PQ = 15x - 2

     = 15(0.2) - 2

     = 3 - 2

     = 1 ft

QR = 5x + 3

     = 5(0.2) + 3

     = 1 + 3

     = 4 ft


Related Questions

Fred wants to make brownies. To make brownies, he needs 1/4 of a cup of flour per batch of brownies. If Fred has 10 cups of flour, how many batches of brownies can he make?

Answers

he can make like nine batches so ya ya ya ya ya Step-by-step explanation:

What is the slope of the equation: x = -2

Answers

Answer:

undefined

Step-by-step explanation

it is a vertical line and has no defined slope

Choose the three shapes that have an area of 36 square centimeters.
9cm
12 cm
A
4 cm
D
3 cm
9 cm
12 cm
B.
9 cm
E.
6 cm
6 cm
C.
6 cm

Answers

Answer:

6cm

Step-by-step explanation:

Area of a square =

[tex]s^2[/tex]

Where s = one side

s = ?

[tex]A = s^2\\\\36 =s^2[/tex]

Square root both sides

[tex]\sqrt{36} = \sqrt{s^2} \\\\6 =s[/tex]

A fence for a rectangular garden with one side against an existing wall is constructed by using 60 feet of fencing. What is the maximum area that can be enclosed

Answers

Step-by-step explanation:

A fence for a rectangular garden with one side against an existing wall is constructed by using 60 feet of fencing.

Perimeter of rectangle (3 sides)= 60 feet

Let 'x' be the width of the wall

[tex]Perimeter = 2(length)+2(width)\\60=2(length)+2x\\\\60-2x=2(length)\\\frac{60-2x}{2} =length\\Length =30-x[/tex]

Formula for the area of the rectangle is

[tex]Area=length \cdot width\\A=length(x)[/tex]

Replace the length we got using perimeter

[tex]A=(30-x)(x)\\A(x)= 30x-x^2[/tex]

To find out the maximum are we take derivative

[tex]A'(x)= 30-2x\\0=30-2x\\-30=-2x\\x=15[/tex]

find out second derivative to check whether x=15 is maximum

[tex]A''(x)=-2[/tex]

second derivative is negative

So, Maximum area at x=15

To find maximum area we plug in 15 for x in A(x)

[tex]A(x)=30x-x^2\\A(15)=30(15)-15^2\\A(15)=225[/tex]

So, maximum area is 225 square feet

Write the equation g(x) of the transformation of the parent graph f(x) = |x| stretched horizontally by a factor of 3.

Answers

Answer:

g(x) = |1/3x|

Step-by-step explanation:

f(x) = |x|

y = f(Cx) 0 < C < 1 stretches it in the x-direction

g(x) = |1/3x|

We can start with: f(x) = |x|

0 < c < 1 means x-direction stretch

y = f(cx)

3 unit horizontal stretch

After: g(x) = |1/3x|

Best of Luck!

Melissa compares the numbers 0.058 and 0.21. She thinks that 0.058 > 0.21 because 58 > 21 , but the reasoning that Melissa used is incorrect

Answers

Answer:

Step-by-step explanation:

What is the answer tho

Ella is buying a $110 chair. She has a coupon for 15% off. How much does she pay for the chair if sales tax is $6 ​

Answers

Answer: the answer should be 99.5

PLEASE HELP I WILL MARK YOU BRAINLIEST

Answers

Answer:

The correct answer is A. The base of the rectangular prism must be 12 units because the height is 2 units, and 2 multiplied by 12 is 24, which is the total volume of the prism.

please help! having trouble with this question. will give 5 stars, thanks, and brainliest.

Answers

Answer:

-4 is the first,-64 is the second,0/14, 1.2,2/3,25/11,4,25

Step-by-step explanation:

−15 = 5(3q − 10) − 5q

Answers

Answer:

q = 3.5

Step-by-step explanation:

-15 = 5(3q - 10) - 5q

-15 = (5*3q + 5*-10) - 5q

-15 = 15q - 50 - 5q

-15 + 50 = 15q - 5q

35 = 10q

q = 35/10

q = 3.5

Check:

-15 = 5(3*3.5 - 10) - 5*3.5

-15 = 5(10.5 - 10) - 17.5

-15 = 5*0.5 - 17.5

-15 = 2.5 - 17.5

Given the equation: y=(x-1)(x+3). what are the x-intercepts? *

Answers

Answer:(

(1,0),(-3,0)

Step-by-step explanation:

yesterday 15 degrees below zero. Write an integer to represent this temperature.

Answers

Answer:

-15

I hope this helped! :)

use inductive resoning to predict the next number 1,6,-4,1,-9,-4,-14,-9,-19

Answers

Answer:

-14

Step-by-step explanation:

the pattern is y+5=x, x-10=z

so,

1(+5)=6

6(-10)=-4

-4(+5)=1

1(-10)=-9

-9(+5)=-4

I need help with this math problem please

Answers

Answer:

65 -3x = 55 -2.5x20 periods$5

Step-by-step explanation:

The value of the first card starts at $65 and decreases by $3 for each of x periods. Its value is ...

  65 -3x

The value of the second card starts at $55 and decreases by $2.50 for each of x periods. Its value is ...

  55 -2.5x

The equation that can be used to find x that makes the values equal is ...

  65 -3x = 55 -2.5x

__

The solution can be found by adding 3x-55 to both sides of this equation.

  10 = 0.5x

Multiplying by 2 gives ...

  20 = x

After 20 30-day periods. the cards will have the same value.

__

The value after 20 periods is ...

  65 -3×20 = 65 -60 = 5

Both cards will have a value of $5 when they have the same value.


The independent variable are the x values or domain and the dependent variable are the y values or range of a function

Answers

Answer:

Yes that is correct

whats the answer to this problem 9x+10=2001-X

Answers

Answer: x=1991/10

Step-by-step explanation: Step 1: Simplify both sides of the equation.

9x+10=2001−x

9x+10=2001+−x

9x+10=−x+2001

Step 2: Add x to both sides.

9x+10+x=−x+2001+x

10x+10=2001

Step 3: Subtract 10 from both sides.

10x+10−10=2001−10

10x=1991

Step 4: Divide both sides by 10.

10x

10

=

1991

10

x=

1991

10

Answer:x=199.1

Step-by-step explanation:

Help ASAP pls
Three cars are for sale car a £14240 or car b £15870 or car c £11690 The price of car is rounded to the nearest £100. Which price changes by the greatest amount

Answers

Answer:

1 st car is your answer to the question

Vivian's sales territory produced $1.8
million in sales during the year. How
much does she earn if she has a base
salary of $50,000 plus 3% on sales over
$1.5 million?
a.)
$60,000
b.)
$59,500
c.)
$59,000
d.)
$58,500

Answers

the answer is c. 59000

Can a ray be bisected?

Answers

Such a ray that divides an angle into two equal angles is called an angle bisector.

Likewise, two rays that divide an angle into three congruent angles are called angle trisectors. Figure %:

An angle bisected and trisected On the left, angle ABC is bisected by the ray BD.

Credits to google.

In short, no.

What’s the answer for the problems 11-15 in the picture

Answers

Answer:

11.

A) EZ Pay Plan=0.15x

B) 40 to Go Plan=0.05x+40

12.

0.15x=0.05x+40

13.

x=400 minutes

14. The solution is the amount of minutes that it takes for both plans to cost the same amount. X has one solution, so it accounts for both equations.

15. EZ Pay Plan

Step-by-step explanation:

For 11, what you need to know is that the slope (coefficient of x) is the price per minute. 0.15 per minute and 0.05 per minute are charged, and therefore are the slope for those equations. The 40 on B is because it is the y intercept. No matter how long you use the object, you will always pay at least 40 dollars.

For 12, you have to find x for the minutes used.

For 13, if you do the process algebraically,

0.15x=0.05x+40  

0.10x=40     (subtracted 0.05x from both sides)

x=400       (divided 0.10x and 40 by 0.10)

For 14, (no explanation)

For 15, if you substitute 200 as x, you would see that the EZ Pay Plan would make you pay 30 dollars while the 40 To Go Plan would make you pay 10+40 dollars, which 30<50.

(sorry for late response)

Put the following fractions in order of size starting with the one with the least value 5/16 1/2 3/4 5/8 1/4

Answers

Answer:

1/4, 5/16, 1/2, 5/8, 3/4

Step-by-step explanation:

Answer:

1/2 1/4 3/4 5/8 5/16 this is the right answer s

Please help it in fraction form

Answers

The answer is 105 4/61

If you do the long division correctly, you will get 105 and all you have is 4 left.

Since you are dividing by 61, you do 4/61.

So that is how you get 105 4/61

I hope this helps!

Answers

Answer:

did you post anything on this I see nothing?

1 is subtracted from a number

Answers

then the answer would be one less

help me if u can q is below

Answers

Step-by-step explanation:

C = 25p

p = number of people

C = Total cost of admission

For 4 people, Total cost is

C = 25 × 4 = 100 dollars

pls help me with thu question​

Answers

Answer:

u r girl

khdlhdohdkhdohdohdlgdogdkgdkgdkgskgdkgskgskydoysoydoydoydoydoydlydoydoydoydpydoydpyd

Use elimination to solve and match each system of equations to the correct solution. 3x+y=11 5x-y=21 Help with this one I’ll give u brainliest

Answers

Answer:

Step-by-step explanation:

3x + y = 11

5x - y = 21

8x = 32

x = 4

3(4) + y = 11

12 + y = 11

y = -1

(4, -1)

Which operation has to be calculated first in this expression?
7 – (4 + 5)

Answers

Answer:

Addition

Step-by-step explanation:

You should add 4 and 5 first because of PEMDAS.

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

Since 4+5 is in parentheses it should be done first.

Answer:

Addition

Step-by-step explanation:

This the answer because:

1) First, we have to know the Order of Operations

2) An easy way of remembering this is PEMDAS or GEMS

PEMDAS : Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction

GEMS : Grouping (Parenthesis), Exponents, Multiplication and Division (whichever one comes first from left to right), Addition and Subtraction (whichever one comes first from left to right)

3) In this expression, parenthesis would be first because that's what comes first in the order of operations

4) Inside the parenthesis is another expression where you need to add. Therefore, the answer is addition

Hope this helps!

Which equation is in standard form?
A. -3(x + y) = 10
B. y = 4x + 2
C. 5x –y = 15
D. 0.5x + 6y = 1.9

Answers

B it’s a standard form y=mx+b

Li’s family is saving money for their summer vacation. Their vacation savings account currently has a balance of $2,764. The family would like to have at least $5,000.

Which inequality can be used to determine the amount of money the family still needs to save?

Answers

Answer:

B is the answer  ppl  Answer B  hope it help you all ^U^

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

cause i said so have a problem call my lawyer......

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