Use the figure to write the segment addition postulate, write an equation and solve for x.

Use The Figure To Write The Segment Addition Postulate, Write An Equation And Solve For X.

Answers

Answer 1

Answer:

5). x = -1

6). x = 2

Step-by-step explanation:

5). AC = (x + 10)

    AB = 5

    BC = (2x + 6)

    By segment addition postulate,

    AC = AB + BC

    (x + 10) = 5 + (2x + 6)

    x + 10 = 2x + 11

    2x - x = 10 - 11

    x = -1

6). AC = 19

    AB = 9x + 7

    BC = -3x + 20

    By segment addition postulate,

    AC = AB + BC

    39 = 9x + 7 + (-3x + 20)

    39 = (9x - 3x) + (7 + 20)

    39 = 6x + 27

    6x = 39 - 27

    6x = 12

    x = 2

    x = 2


Related Questions

1. Round the following number to the underlined place value.
492,205

Answers

Answer:

If the 4 is underlined its 500,000

if its the 9 then its 490,000

if its the first 2 then its 492,000

if its the second 2 its 492,200

if its the 0 then its 492,200

Step-by-step explanation:

Matthew rode his bike 5/8 mile in 1/4 hour. What is the unit rate in miles per hour?

Answers

Answer:

The unit rate in miles per hour is 2.5 mph.

Step-by-step explanation:

Since Matthew rode his bicycle for 5/8 of a mile in a quarter of an hour, to determine the speed at which he was traveling we must perform the following calculation:

1/4 x 4 = 1 hour

5/8 x 4 = miles that would have been covered in one hour

20/8 of a mile would have been covered in one hour

20/8 = 2.5

2.5 miles would have been covered in an hour, with which his speed was 2.5 mph.

The square root of a number is -9. What is the other square root?
A.9
B.-3
C.3
D.81

Answers

Answer:

The answer is A

A make-your-own ice pop kit says to pour 4 fluid ounces of juice into each bag. How many ice pop bags can you fill with 1 quart of juice?

Answers

Answer: 8 bags.

Step-by-step explanation:

It is given that, a make-your-own ice pop kit says to pour 4 fluid ounces of juice into each bag.

We need to find the number of ice pop bags we can fill with 1 quart of juice.

We know that,

1 quart = 32 ounces

We have  32 ounces of juice and each bag contains 4 fluid ounces.

[tex]\text{Number of ice pop bags}=\dfrac{\text{Total juice}}{\text{Juice contained in each bag}}[/tex]

[tex]\text{Number of ice pop bags}=\dfrac{32}{4}[/tex]

[tex]\text{Number of ice pop bags}=8[/tex]

Therefore, 8 ice pop bags we can  fill with 1 quart of juice.

Answer:

8 bags

Step-by-step explanation:

How many kilograms of chocolate will each person if four people share 1/3 of a kilogram of chocolate equally?

Answers

Answer:

Each person would eat 83 grams of chocolate, which is equal to 0.083 kilograms.

Step-by-step explanation:

To determine how much chocolate each person will eat if 4 people divide 1/3 kilogram of chocolate, the following calculation must be made:

1/3 = 0.333

0.333 / 4 = 0.083

0.08 x 1000 = 83 grams

Therefore, each of the 4 people will eat 83 grams of chocolate.

Answer:

1/12

Step-by-step explanation:


15. Food bill: $30
Sales tax: 5.5%
Tip: 15%

Answers

the total is $36.3975. you will probably have to round that :)

Simplify with negative radicands in terms of i.
5+ V-49
6
x=
-1/3i
2i
O
5/6 + 7/61
5/6 - 7/61

Answers

Answer: C. 5/6+7/6i

Step-by-step explanation: just did it on Edg

The equation in the form of i will be 5/6 + (7/6)i. Then the correct option is C.

What is simplification?

Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.

The equation is given below.

[tex]x = \dfrac{5 + \sqrt{-49}}{6}[/tex]

We know that √(-1) = i, then we have

x = 5/6 + (√49 / 6)i

x = 5/6 + (7/6)i

Then the correct option is C.

More about the simplification link is given below.

https://brainly.com/question/12616840

#SPJ2

Write and solve an equation to answer the question.

How many people must attend the third show so that the average attendance per show is 3000?

Answers

The answer is X= 3,500

HELP PLEASE I’ll give you 5 stars

Answers

Answer & Step-by-step explanation:

On the left:

There are 4 triangles that indicate -x, so this is -4

There are 3 circles that indicate -1, so these are -3.

Insert as an expression:

[tex]-4x-3[/tex]

On the right:

There are 2 triangles that indicate -x, so this is -2x.

There are 2 circles that indicate -1, so these are -2.

Insert as an expression:

[tex]-2x-2[/tex]

Combine both expressions into an equation:

[tex]-4x-3=-2x-2[/tex]

Solve for x. Add 3 to both sides:

[tex]-4x-3+3=-2x-2+3\\\\-4x=-2x+1[/tex]

Add 2x to both sides:

[tex]-4x+2x=-2x+2x+1\\\\-2x=1[/tex]

Isolate the variable. Divide both sides by -2:

[tex]\frac{-2x}{-2} =\frac{1}{-2}\\\\ x=-\frac{1}{2}[/tex]

:Done

Please answer question 11

Answers

Answer:

I'm pretty sure it's 4

Step-by-step explanation:

association property of addition involves well addition and that's what it shown in y+0=y

What is a cycle graph?

Answers

Answer:

In graph theory, a cycle graph or circular graph is a graph that consists of a single cycle, or in other words, some number of vertices connected in a closed chain. The cycle graph with n vertices is called Cₙ. 

2 The temperature in Chicago was - 10 degrees Fahrenheit. It then rose 5 degrees.

a. Write an equation that you can use to find the new temperature.

b. What is the new temperature?

C. Is your answer a positive or negative integer? Why?

Answers

Answer:

Step-by-step explanation:

Given

Initial Temperature = -10

Increment = 5

Required

Solving (a): Write an Equation

The equation is to add the initial temperature and the increment

i.e

Equation = Initial Temperature + Increment

Solving (b): Solve the equation

Substitute values for initial temperature and the increment

Result = -10 + 5

Result = -5

Solving (c):

It's a negative answer because the increment in temperature is not greater than the initial temperature

Jesper Co begins its next year of operations with a Beginning Supplies balance of 1,400. The end of period count of inventory revealed an Ending Supply balance of 4,500. If COGS for the same period was 36,700, Purchases must have been what? 0 33.600 35.300 39.800 36.700​

Answers

Answer:

Purchases= $39,800

Step-by-step explanation:

Giving the following information:

Beginning Supplies= 1,400

Ending Supply balance= 4,500

COGS= 36,700

To calculate the purchases, we need to use the following formula:

Purchases= COGS + desired ending inventory - beginning inventory

Purchases= 36,700 + 4,500 - 1,400

Purchases= $39,800

O points
Superman saved 47 people in 34 different cities. How many people were
saved total? *

Answers

Answer:

so you will need Define

HELP HELP HELP HWLP HELP

Answers

Answer:

x=0.1,-0.1 pretty much x=+1/10,x-1/10

Step-by-step explanation:

Attempt 1013
Which expression would represent the cost of one CD, if the total cost for three of them is $36?
36-3
3(36)
36
3
3 + 36
NEXT QUESTION
ASK FOR HELP

Answers

36/3 would be the expression that would represent the cost of one CD.

If the man has 20 dollars in his bank account and spends 2 dollars a day on coffee. How much money will he have in his account after 3 days?

Answers

HEs going to have 14 dollars left
2x3=6
20-6=14

he temperature at noon at a ski resort is 3°F. The temperature drops 8°F by midnight.
What is the temperature at midnight?

Answers

Answer:

thye answer is -5f

Step-by-step explanation

Karina and Perry are cleaning up litter in the park for community service hours. Karina and Perry both claim they have covered the greatest area. Who is correct? Justify your answer using mathematical reasoning.

Answers

Answer:

Perry's claim is correct while Karina is incorrect

Step-by-step explanation:

Question is incomplete (See Attachment)

First, we need to determine the area covered by Karina and Perry

For Karina, there are 9 square boxes each of which has an area of 1 unit sq

So:

[tex]Karina = 9 * 1\ unit^2[/tex]

[tex]Karina = 9\ unit^2[/tex]

For Perry:

There are 18 square boxes, each of which has an area of 1 unit sq.

So:

[tex]Perry = 18 * 1\ unit^2[/tex]

[tex]Perry = 18\ unit^2[/tex]

Comparing both areas, we can conclude that Perry's claim is correct while Karina is incorrect

Please answer this correctly without making mistakes

Answers

Answer:

3:2

Step-by-step explanation:

Brayden signed up for a streaming music service that costs $11 per month. The service allows Brayden to listen to unlimited music, but if he wants to download songs for offline listening, the service charges $1 per song. How much total money would Brayden have to pay in a month in which he downloaded 35 songs? How much would he have to pay if he downloaded s songs?

Answers

s = # of songs

y = total amount of money

$11 + $1(35) = y

Simplify the right side

$11 + $35 = y

Combine like terms

$46 = y

If he downloaded 35 songs, he would have ti pay $46

If he downloaded s amount of songs, he would have to pay $11 + $1s = y

8(x-4)-10x simplify the equation

Answers

Answer:

− 2x-32

Step-by-step explanation:

elizabeth and success buy books from 2 different book shop, elizabeth bought 4 books for £28, sucess bought 7 book for £63 who had a better deal

Answers

Answer:

Elizabeth got the better deal

Step-by-step explanation:

Elizabeth bought 4 books for £28 = £28/4 = £7 per book

Success bought 7 books for £63 = £63/7 = £9 per book

What is the perimeter of rectangle EFGH?

Answers

Answer:

But where are the rectangles??

Consider the experimental situation described below. Ability to grow in shade may help pines in the dry forests of Arizona resist drought. How well do these pines grow in shade? Investigators planted pine seedlings in a greenhouse in either full light or light reduced to 5% of normal by shade cloth. At the end of the study, they dried the young trees and weighed them. Identify the experimental unit(s) or subject(s). (Select all that apply.)

Answers

Answer:

Pine tree seedlings

Step-by-step explanation:

An experimental unit refers to the subject or factor under investigation. The subject or factor is subjected to different treatments in the course of the study. In the case of the experimental situation described above, the pine tree seedlings are the experimental units that actually received the treatments.

The treatments included being subjected to full or reduced light in the greenhouse. The response of the seedlings to these treatments would determine the outcome of the study.

Suppose f(x) = 2(x + 1)2 and f(g(x)) = 2(2x + 4)2. What is g(x)?

Answers

Answer:

C

Step-by-step explanation:

Did the test and got it right.

The function g(x) = 2x + 3 if  f(x) = 2(x + 1)² and f(g(x)) = 2(2x + 4)² option (C) is correct.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

Suppose f(x) = 2(x + 1)² and f(g(x)) = 2(2x + 4)². What is g(x)?

A.g(x) = x + 3

B.g(x) = x + 4

C.g(x) = 2x + 3

D.g(x) = 2x + 4

We have:

f(x) = 2(x + 1)²

Let take g(x) = 2x + 3

Find f(g(x))

f(2x + 3) = 2[(2x+3) + 1]²

= 2(2x + 4)² = f(g(x))

Thus, the function g(x) = 2x + 3 if  f(x) = 2(x + 1)² and f(g(x)) = 2(2x + 4)² option (C) is correct.

Learn more about the function here:

brainly.com/question/5245372

#SPJ2

determine the answer to 3+(-5) explain steps on number line

Answers

Answer:

-2

Step-by-step explanation:

When you add a negative number, instead of going 5 places ahead, it goes 5 places back on a number line.

So you would treat this like a subtraction problem. Instead of 3+(-5) it would act like 3-5.

What’s the answer to (16-x)2?

Answers

Answer:

-x + 18

Step-by-step explanation:

just add 16 and 2. this is the furthest it can be simplified

What is the greatest common factor of 49, 26, and 48?


Thanks ʕ•ᴥ•ʔ

Answers

Answer:

1

Step-by-step explanation:

There is no other number that would go into these numbers that is greater than 1.

how many sixths are in 7 1/6

Answers

All we need to do is turn the mixed number into an improper fraction.

7 1/6 = 43/6

Therefore, there are 43 sixths in 7 1/6.

Best of Luck!

Answer:

43

Step-by-step explanation:

7 1/6 ÷ (1/6) = 43

43 x (1/6) = 7  1/6

Hence, the answer (43) is correct

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