If LP = 15 and PR = 9, find LR. Explain. LR = 24 because 15 + 9 = 24 according to the addition property of equality. LR = 6 because LR + LP = PR according to the Segment Addition Postulate, and 6 + 9 = 15 using substitution. LR = 24 because LP + PR = LR according to the Segment Addition Postulate, and 15 + 9 = 24 using substitution. LR = 6 because 15 − 9 = 6 according to the subtraction property of equality.

Answers

Answer 1

Step-by-step explanation:

Given,

LP = 15, PR = 9

Point P lies on the line segment PR. It would mean that,

LP + PR = LR

⇒LR = 15 + 9

⇒ LR = 24

Hence, "LR = 24 because LP + PR = LR according to the Segment Addition Postulate, and 15 + 9 = 24 using substitution" is the correct option.


Related Questions

What is 15.5% as a fraction in simplest form

Answers

Answer:

Hope this helps

Step-by-step explanation:

15.5

10

(Computer won't do fractions so 15.5 out of 10 or 15.5 in decimal form)

What is the sum of all the whole numbers from 1 to 1000?

Answers

Answer:

So there are 500 pairs of numbers that have a sum of 1001. Thus, the sum of numbers from 1 to 1000 is 500*1001 = 500,500.

Step-by-step explanation:

An angle measures 70.2° more than the measure of its complementary angle. What is the measure of each angle?

Answers

A complementary angle of another angle is the angle that when you add it to that angle, you get 90 degrees.

For example, we have angle A. When we add the complementary angle of angle A, you get 90 degrees. :)

So, what we can do for this problem is create an equation! :)

x + 70.2° = "an angle"

x = complementary angle

Notice: I put the 70.2° to show the difference between the complementary angle and the angle itself.

Now, we can make an equation!

(x + 70.2°) + x = 90

2x = 19.8

x = 19.8/2

x = 9.9 degrees

One angle is 9.9 degrees, and the other angle is x + 70.2 = 9.9 + 70.2 = 80.1 degrees. We can see that when we add 9.9 and 80.1 we get 90 degrees, and when you minus 9.9 from 80.1, you get 70.2. :)

Ask any questions if you need. :)

equal sides of an isosceles triangle are given as 30 cm each if the perimeter of the triangle is 67 cm,find the third sides please help me answer please please please

I WILL MARK YOU THE BRAINLYEST IF YOU HELP ME PLEASE!!!!!
The expression -50X+ 100 represents the balance in dollars of a bank account after X months.


What is the rate of change in dollars per month of the bank account balance?


A.) $100 per month


B.) $50 per month


C.) $-50 per month


D.) $-100 per month

Answers

Answer:

it's B

50(-x+2)

Answer:

hoesty ill pick c or a ut you risk it for the biscuit

Step-by-step explanation:

Hope this helps leave a heart pls ad if you have questios im here c:

The voltage V required for a circuit is given by [tex]v=\sqrt{PR}[/tex] , where P is the power in watts and R is the resistance in ohms.

How many more volts are needed to light a 100-watt light bulb than a 75-watt light bulb if the resistance of both is 110 ohms? Round answer to the nearest tenth.

Answers

Answer:

✓11000-✓8250=~ 14 volts

Step-by-step explanation:

the answer is the difference by 100-watt light bulb to a 75 light bulb.

so, all you have to do is this:

v1-v2--------> ✓PR-✓P2R2

so you'll have ✓100.110-✓75.110= ✓11000-✓8250= 14

I hope it helps

Find the measures of the labeled angles

Answers

Answer:

135 degrees \

Step-by-step explanation:

5x= x+108

Subtract x from the right

4x= 108

divide by 4

x= 27

Substitute for x in the original equation

(x+108)

(27)+(108)

= 135 degrees

You start reading a book for your literature class two day before your friend. You both read 10 pages per night. A system of linear equations that represents this situation is y=10x20 and y=10x. Will your friend finish the book before you?

Answers

Answer:

No

Step-by-step explanation:

You started two days before your friend and you both read the same numbers of pages every night. Therefore, you will finish two days before your friend.

Give the domain and range of the relation.
{(-6,5), (-6, -7), (5,-6), (6,-1), (-4,-5)}
A) domain= {5, 13,-4, 6, -6}; range = {-6, -5,-1, -7,5}
B) domain={-6, -5,-1, -7,5}; range = {5,5, -4,6,-6}
) domain= {5, -3, -4, 6, -6}; range = {-6, -5,-1,-7,5}
D) domain= {5,-4, 6, -6}; range = {-6, -5,-1,-7,5}

Answers

Answer:

D

Step-by-step explanation:

The domain is all the x values that are given with the points.

Domain(x)

Range(y)

Hope this helps! :)

How to find rational numbers between any two numbers for example like finding six rational numbers between three and four please elaborate

Answers

Answer:

The whole series is:

3, 22/7, 23/7, 24/7, 25/7, 26/7, 27/7, 4

Step-by-step explanation:

Inserting Numbers Between Two Given Endpoints

Suppose we want to insert n equally-spaced numbers inside a given interval with endpoints [x,y].

To place n numbers, we need to open n+1 slots, at the end of which, a new number will be placed. The given interval is then divided into n+1 rational numbers of a value (y-x)/(n+1) each.

For example, let's add 6 rational numbers between 3 and 4. The width of the given interval is 4-3=1, and we need to place 6 numbers separated by 1/(6+1) = 1/7.

Start by the left endpoint:

3

The first number to add is 3+1/7=22/7

22/7

The second number to add is 22/7+1/7=23/7

23/7

The third number is 23/7+1/7=24/7

24/7

The next numbers follow the same pattern:

25/7

26/7

27/7

The last number is 28/7=4

4

The whole series is:

3, 22/7, 23/7, 24/7, 25/7, 26/7, 27/7, 4

We have inserted 6 rational numbers between 3 and 4.

2y = 1/4

find the value of y

Answers

Answer:

0.125

Step-by-step explanation:

2 * 0.125 = 0.25 (or 1/4)

Answer:

0.125

Step-by-step explanation:

I think not really good at it

Americans spend an average of 3 hours per day online. If the standard deviation is 32 minutes, find the range in which at least 88.89% of the data will lie. Use Chebyshev's theorem. Hint: You should memorize that when k is 2, it is 75% and when k is 3 it is 88.89%. Also convert hours to minutes and state your answer in minutes.

Answers

Answer:

84 minutes to 276 minutes

Step-by-step explanation:

Chebyshev's theorem states that:

At least 3/4(75% ) of data falls within 2 standard deviation from the mean - that means between μ - 2σ and μ + 2σ

At least 8/9(88.89)% of data falls within 3 standard deviations from the mean - between μ – 3σ and μ + 3σ .

Where k > 1 , 1 - 1/k²

k is 2, it is 75% and when k is 3 it is 88.89%

Americans spend an average of 3 hours per day online. If the standard deviation is 32 minutes, find the range in which at least 88.89% of the data will lies

Step 1

Convert 3 hours to minutes

1 hour = 60 minutes

3 hours = x

Cross Multiply

= 3hours × 60 minutes/1 hour

= 180 minutes

We know from Chebyshev's theorem that:

At least 8/9(88.89)% of data falls within 3 standard deviations from the mean - between μ – 3σ and μ + 3σ .

Hence

μ = 180 minutes, σ =32 minutes

μ – 3σ

= 180 - 3(32)

= 180 - 96

= 84 minutes

μ + 3σ

= 180 + 3(32)

= 180 + 96

= 276 minutes

Therefore the range in which at least 88.89% of the data will lie is 84 minutes to 276 minutes

Sue used to have a square garage with 286 ft squared of floor space. He recently built an addition to it. The garage is still a​ square, but now it has​ 50% more floor space. What was the length of one side of the garage​ originally? What is the length of one side of the garage​ now? What was the percent increase in the length of one​ side?

Answers

Answer:

New Length = 20.71 feet

Original Length = 16.91 feet

22.47%

Step-by-step explanation:

Original area of the square garage = 286 ft squared

Addition of 50% more space

New area of the garage = 286 + .50(286)

= 286 + 143

= 429 square feet

What was the length of one side of the garage​ originally?

Original area of the square garage = 286 ft squared

Area of a square = length^2

286 = length^2

Find the square root of both sides

√286 = √length^2

Original Length = 16.91 feet

What is the length of one side of the garage​ now?

New area of the garage = 429 square feet

Area of a square = length^2

429 = length^2

Find the square root of both sides

√429 = √length^2

New Length = 20.71 feet

What was the percent increase in the length of one​ side?

(New length - old length) / old length × 100

= (20.71 feet - 16.91 feet) / 16.91 feet × 100

= 3.8 feet / 16.91 feet × 100

= 0.2247 × 100

= 22.47%

The dance team traveled to a competition and traveled in two vans. The first van transported 2 adults and 5 students and cost $77. The second van transported 2 adults and 7 students and cost $95. Find the cost for one student to enter the competition.

Answers

Answer: $9

Step-by-step explanation:

Let the cost for adults be a

Let the cost for students be b.

The first van transported 2 adults and 5 students and cost $77. This will be:

2a + 5b = $77

The second van transported 2 adults and 7 students and cost $95. This will be:

2a + 7b = $95

2a + 5b = 77 ...... equation i

2a + 7b = 95 ........ equation ii

Subtract equation ii from I

-2b = -18

b = 18/2

b = $9

An student cost $9

Put the value of b into equation i

2a + 5b = 77

2a + 5(9) = 77

2a + 45 = 77

2a = 77 - 45

2a = 32

a = 32/2

a = 16

An adult costs $16

I need help! 30 points! Will mark brainliest! I'm giving up my rank for this answer! Please!
Solve for a. Show your work: -2(a - 3) = 12

Answers

Answer: a = -3

Step-by-step explanation: First we distribute the -2 to a and -3 to get -2a+6=12, then subtract 6 on both sides, -2a=6, finally divide by -2 on each side to get a = -3.

Hope this helps!

Please consider marking BRAINLIEST!

tomika ran 84 miles in 4 weeks. She ran 7 days each week. If she ran the same number of miles each day, how many miles did she run each day?

Answers

Three miles a day should be the correct answer

PICNIC TABLE How do you know that the top of the picnic table is parallel to the ground?

Answers

Answer:

because the lines are parallel meaning they will never cross

Step-by-step explanation:

Write the equation of the line through the points (-3, 9) and (4, 2) in POINT-SLOPE FORM

Answers

Answer:

y-9=-1(x+3)

Step-by-step explanation:

The formula for point slope is y2-y1=m(x2-x1). So, we can use the values of the given points to solve the equation for m, or, the slope. We get an equation with the result of 2-9=m(4+3), which gives us the slope as -1. Now, substitute your xy values back in, to get the equation

‼️WILL LIST BRAINLIEST ‼️Explain the Error: Jayme tells her friend that ordered pairs that have an x-coordinate of O lie on the x-axis. She uses the origin as an example. Describe Jayme s error and why that statement is false,​

Answers

because if they were ordered pairs they would have to to not all of them could have an x value of 0 and still lie on the x axis

If f(x)=3x-7, find f(5). *

Answers

Answer:

f(5) = 8

Step-by-step explanation:

3(5)-7

15-7

8

Answer:

f(5)= 3(5) -7

f(5)= 15-7

f(5)= 8

Step-by-step explanation:

just substitute x for 5 and you get the answer

9 — 3x = у
3х – у = -2

Answers

Answer:

This could be wrong, but i still wanted to help you.

Step-by-step explanation:

9-3x=y

+9      +9

3x=y

÷3   ÷3

x=y/3

Im sorry if this is wrong

Line AB and line CD intersect at point E. If angle AEC= 5x and angle BED= x +28, font the value of x. (Number two)

Answers

Go to QuestionCove for better answers, it's too hard for me TwT

Answer:

2. x=7

3. x=11

Step-by-step explanation:

Is this rational or irrational? If so why ?

Answers

Answer: 0.12 repeating is a Rational number

Step-by-step explanation:

Any number with a terminating or repeating decimal representation is a rational number <!>Brainiest Appreciated<!>

f(n)=??? whats the answer mates?

Answers

uhhh i’m pretty sure it’s f(n) = O(g(n))

Faith is driving to a concert and needs to pay for
parking. There is an automatic fee of $7 just to enter
the parking lot, and when she leaves the lot, she will
have to pay an additional $2 for every hour she had her
car in the lot.

Answers

Answer: $7 + 2h = Will be the price she pays when she leaves.

Step-by-step explanation:

Answer please nowwwwwwwwwwwwwww

Answers

Answer:

25.25

Step-by-step explanation:

i think im not so sure :/

Answer:

25 [tex]\frac{5}{11}[/tex]

Step-by-step explanation:

This is the answer because:

1) You have to convert 3 [tex]\frac{7}{11}[/tex] to an improper fraction. You can do this by multiplying 11 and 3 (the denominator and the whole number) then add 7 (the numerator). This equals to [tex]\frac{40}{11}[/tex].

2)  [tex]\frac{40}{11}[/tex] x [tex]\frac{7}{1}[/tex] = [tex]\frac{280}{11}[/tex]

3) Finally. convert [tex]\frac{280}{11}[/tex] to an mixed fraction which is 25 [tex]\frac{5}{11}[/tex]

Therefore, the answer is 25 [tex]\frac{5}{11}[/tex]

Hope this helps! :D

(4.6), (8,-2)
What is the slope

Answers

Answer:

-2

Step-by-step explanation:

work out the value of 2 ^ 0​

Answers

Answer:

Anything to the 0 power is 1

Step-by-step explanation:

Answer:

2^0=1

Step-by-step explanation:

In a classroom there is 40 students, 8 of them failed. ¿What percentage failed?

Answers

Answer:

40-8=32

Step-by-step explanation:

there was 40 then 8 of them failed that is telling u to subtract

Need help asap! Tyy

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   .      .     。   。 .  

.   。      ඞ 。 .    •     •

  ゚   Black was not An Impostor.  。 .

  '    1 Impostor remains     。

  ゚   .   . ,    .  .

Answers

Answer:

27 feet squared

Step-by-step explanation:

the formula for the area of a triangle is b(h)/2 so u just plug in the numbers into the formula from the question. we know that the base is 6ft long and the height is 9ft long.

A = b(h)/2

A = 6(9)/2

A = 27

therefore the area of the sail is 27 feet squared.

Is 27. Hopefully help

does 55,808 have 2 as a factor ?
does 55,812 have 2 as a factor ?
does 55,814 have 2 as a factor ?
does 55,816 have 2 as a factor ?
does 55,818 have 2 as a factor ?
answer yes or no

Answers

Answer:

Yes.

Yes.

Yes.

Yes.

Yes.

Step-by-step explanation:

Yes for all of them because they are even numbers
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