Consider the line segment below.

А

M

B

(7x + 8) cm

(9x – 8) cm

Part A - If AB is 128 centimeters long, what is the value of a?

Part B - What is the length of AM?

AM

cm.

Part C - What is the length of BM?

BM

cm.

Part D - Is point M the midpoint of AB? Justify your answer.

Answers

Answer 1

Answer:

Part A

x = 8

Part B

AM = 64 cm

Part C

BM = 64 cm

Part D

AB = AM + BM

Step-by-step explanation:

Consider the line segment below.

АM = (7x + 8) cm

BM = (9x – 8) cm

Part A - If AB is 128 centimeters long, what is the value of x?

AB = AM + BM

128 = (7x + 8) + (9x - 8)

128 = 7x + 9x + 8 - 8

128 = 16x

x = 128/16

x = 8

Part B - What is the length of AM?

АM = (7x + 8) cm

AM = 7(8) + 8 cm

AM = 56 + 8 cm

AM = 64 cm.

Part C - What is the length of BM?

BM = (9x – 8) cm

BM = 9 × 8 - 8 cm

BM = 72 - 8 cm

BM = 64 cm.

Part D - Is point M the midpoint of AB? Justify your answer.

A.............. M............... B

Hence: From the Above illustration,

M is the Midpoint because it divided AB into 2 equal parts

= AM and BM

Hence:

AB = AM + BM


Related Questions

14. Devon has an area rug with a width 3 feet less than its length, l. He has purchased a larger rug to fit into his new dorm room. Both length and width of Devon's new rug are 2 feet longer than the original. Find the simplified expression of the perimeter and the NEW rug.​ plsssss help.me show work

Answers

Answer:

Perimeter of the new rug   = 4x+2 feet

Step-by-step explanation:

Let the length be x feet and the width of the first rug will be x- 3 feet

Area = length * breadth = x * (x-3) = x²- 3x

Length of the new rug = x+2 feet

Width of the rug = x+2-3= x-1 feet

Perimeter of the recatngle = 2( length + breadth)

                                             = 2( x+2 + x-1)

                                               = 2 (2x+1)

                                                = 4x+2 feet

Lindsey’s goal is to sell at least 35 candles at each of 15 craft fairs.
She makes 24 candles each day for 20 days.
Explain whether Lindsey makes enough candles to reach her goal.
Group of answer choices

A.Lindsay makes 48 candles. She divides 48 by 24 to get 2. She does make enough candles.

B.Lindsay makes 440 candles. She divides 440 by 15 to get 29 R4. She does make enough candles.

C.Lindsay makes 44 candles. She divides 44 by 20 to get 2R 4. She does not make enough candles.

D.Lindsay makes 480 candles. She divides 480 by 15 to get 32. She does not make enough candles.

Answers

Answer: D.Lindsay makes 480 candles. She divides 480 by 15 to get 32. She does not make enough candles.

Step-by-step explanation: 24 times 20 is 480. That is how many she made all together.

Lindsay makes 480 candles. She divides 480 by 15 to get 32. She does not make enough candles and this can be determined by using the arithmetic operations.

Given :

Lindsey’s goal is to sell at least 35 candles at each of the 15 craft fairs. She makes 24 candles each day for 20 days.

The following steps can be used in order to determine whether Lindsey makes enough candles to reach her goal:

Step 1 - The arithmetic operations can be used in order to determine whether Lindsey makes enough candles to reach her goal.

Step 2 - According to the given data, Lindsey makes 24 candles each day for 20 days. So, the total number of candles she makes at the end of 20 days is:

[tex]=24\times 20[/tex]

= 480 candles

Step 3 - Also it is given that Lindsey’s goal is to sell at least 35 candles at each of 15 craft fairs. So, the total candles required is:

[tex]=35\times 15[/tex]

= 525 candles

Therefore, the correct option is D).

For more information, refer to the link given below:

https://brainly.com/question/25834626

G is the circumcenter. Find BG if BG =(2x-15)

Answers

Answer:

-30

Step-by-step explanation:

i am not sure just remember getting taught it.

Describe the products made by the process of cellular respiration.

Answers

Step-by-step explanation:

The product is carbon dioxide and water

6x-25 >x +50



ASAPPP PLEASE HELP ME !!

Answers

Answer:

X > 15

Step-by-step explanation:

What is the average speed of a boat that travels 57 kilometers in 3 hours?

Answers

Answer:

19 km/h

Step-by-step explanation:

average speed = total distance / total time

in this case it will be 57/3 = 19 km/h

2b-m=5 what is the solution for m

Answers

Answer:

m = -5 + 2b

Step-by-step explanation:

2b - m = 5

-2b    -2b

-m = 5 - 2b

-1         -1

5 ÷ -1 = 5

-2b ÷ -1 = 2b

m = -5 + 2b

Jocelyn was given a gift card for a coffee shop. Each morning, Jocelyn uses the card
to buy one cup of coffee. Each cup of coffee costs $3 and the original amount of
money on the gift card was $45. Make a table of values and then write an equation for
A, in terms of x, representing the amount money remaining on the card after buying
2 cups of coffee.
Number of Cups of Coffee Amount of Money Remaining on Card
0
1
2
3

Answers

Answer:

0 - $45

1 - $42

2 - $39

3 - $36

3(a)=45

with 2 more cups it there would be $30 left

Step-by-step explanation:

Answer:

Step-by-step explanation:

A = 45 - 3x ;

(0, 45);

(1, 42);

(2, 39);

(3, 36)

x/4 + 9 = 5
Solve for x

Answers

Hol up I no this wait really quick

Answer:

-16

Step-by-step explanation:

x/4 + 9 = 5

move 9 to the other side

x/4= -4

multiply both sides by 4

x=-16

I WILL MARK BRAINIEST

Answers

Answer:

PARELLEL

Step-by-step explanation:

Line e and f are parallel. They don't meet. PLEASE MARK ME BRAINLIEST

Hey I am super confused about the equation below. plzz help!!!

Answers

Answer:

50.

Step-by-step explanation:

12 x 45 = 540. 45 + 5 = 50.

Angles X and Y are supplementary. Angle X is 3 times the measure of angle Y. What is the measure of angle X?
45°
60°
120°
135°

Answers

Answer:

135 degrees

Step-by-step explanation:

135 is 3 times the measure of 45, and 45 + 135 equals 180. Supplementary angles add up to 180 degrees.

Answer:

Step-by-step explanation:

135

Jina bought 4 that were each the same price sales tax, she paid a total of $43,60 . a tax of $0.70 What was the price of each before tax?

Answers

Answer:

    Convert tax percentage into a decimal by moving the decimal point two spaces to the left.

    Multiple the pre-tax value by the newly calculated decimal value in order to find the cost of the sales tax.

    Add the sales tax value to the pre-tax value to calculate the total cost.

Step-by-step explanation:

i hope this help you

What do you mean on the equation what are you looking for??

A town has a population of 10000 and grows at 5% every year. What will be the population after 5 years, to the nearest whole number?

Answers

Answer:12500

Step-by-step explanation:

10000 x 5% = 500. 500 x 5 = 2500. 10000 + 2500 = 12500

Answer:

12763

Step-by-step explanation:

Got it right on deltamath.

please helppppppppppp

Answers

Answer:

2 million 2 3 divided by 3= 20000

Step-by-step explanation:

add and divide

Answer: The answer is after 10 months.

Step-by-step explanation:

So you first start trying to input random numbers up until you get to 10. You multiply 22 by 10 and add an additional 80 making it 300. While when you multiply 30 by 10 you get 300 also.

is negative 8 a term

Answers

Answer:

Negative coefficients are simply coefficients that are negative numbers. An example of a negative coefficient would be -8 in the term -8z or -11 in the term -11xy. The number being multiplied by the variables is negative.

Step-by-step explanation:

put it in your own words

yesssssssss!!!!!!!!!

Draw the dilation of ABCD using center D and scale factor 1/3. Label the dilation EFGH

Answers

Answer:

Please find attached, the required drawing of quadrilateral ABCD and the dilation of quadrilateral ABCD scaled down by a scale factor of 1/3

Step-by-step explanation:

The coordinates of the quadrilateral ABCD are;

A(0, 6), B(6, 6), C(9, 0), D(0, 0)

From the dilation by a scale factor of 1/3, using D as the center of dilation, we have from the attached drawing, the following coordinates of the quadrilateral EFGH as E(0, 2), F(2, 2), G(3, 0) H(0, 0) which is the quadrilateral ABCD scaled down by 1/3

FIRST ANSWER GETS BRAINLIEST! (WILL ONLY COUNT IF YOU ANSWER CORRECTLY)

You are purchasing a car for $12,465.00 plus 5.65% sales tax. You make a $1,300.00 down payment and have a fair credit score. If you improved your credit score to good and paid $1,500 on your purchase, how much interest could you save in the first month?




Secured Unsecured
Credit APR (%) APR (%)
Excellent 4.75 5.50
Good 5.00 5.90
Average 5.85 6.75
Fair 6.40 7.25
Poor 7.50 8.40






A) $14.68




B) $13.25



C) $25.69

Answers

Answer:

A

Step-by-step explanation:

What is the correct scale factor?

Answers

Answer:To find a scale factor between two similar figures, find two corresponding sides and write the ratio of the two sides.

Step-by-step explanation:

can you answer my questions quick ​

Answers

Answer:

6 servings

Step-by-step explanation:

Let's say there are x 2/3 cup servings in a 4 cup container.

We multiply 2/3 by x to get the amount of cups that will produce and set that equal to 4 (because we want 4 cups):

(2/3) * x = 4

Divide both sides by 2/3, or multiply both sides by the reciprocal 3/2:

x = 4 * (3/2) = 12/2 = 6

The answer is 6 servings.

Complete the last step by simplifying the expression square root of 180What is simplified?

Answers

Answer:

about 13.

Step-by-step explanation:

sqrt of 180=13.416...

Answer:

6√5

Step-by-step explanation:

180=[tex]2^{2} *3^{2} *5[/tex]. So we can say that 180=6•6•5. So, √180=6√5.

(5)(2)(-6) you must simplify

Answers

Answer:

-60 wdym simplify

Step-by-step explanation:

what is the slope of (1,9) and (6,34)

Answers

Answer:

[tex]m=5[/tex]

General Formulas and Concepts:

Pre-Alg

Order of Operations: BPEMDAS

Alg I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (1, 9)

Point (6, 34)

Step 2: Find slope m

Substitute:                    [tex]m=\frac{34-9}{6-1}[/tex]Subtract:                       [tex]m=\frac{25}{5}[/tex]Divide:                          [tex]m=5[/tex]

Answer:

The slope is 5

Step-by-step explanation:

so you use formula m= y2-y1/x2-x1 and use 34 as y2, 9 as y1, 6 as x2 and 1 as x1 then plug in numbers when using the formula and do the math and get your slope

In the seventh grade, Rachel read 15 books.
In the eighth grade, she read 18 books.
Determine the percent of increase in the
number of books Rachel read.

Answers

Answer:

20%

Step-by-step explanation:

Calculate percentage change

from V1 = 15 to V2 = 18

(V2−V1)|V1|×100

=(18−15)|15|×100

=315×100

=0.2×100

=20%change

=20%increase

Answer:

20%

Step-by-step explanation:

Grace and Zoe like to jump rope grades jump 66 times a minute Zoe jumps 56 times a minute they both Count Their jumps today and together they jump 1266 times in the total of 21 minutes how long did each girl jump

Answers

Answer:

Grace jumps for 9 minutes.

Zoe jumps for 12 minutes.

Step-by-step explanation:

Let the time for which Grace jumps the rope = [tex]x[/tex] minutes

Let the time for which Zoe jumps the rope = [tex]y[/tex] minutes

As per question statement:

[tex]x+y=21 ..... (1)[/tex]

Number of times Grace jumps in one minute = 66

Number of times Zoe jumps in one minute = 56

Number of times Grace jumps in [tex]x[/tex] minutes = 66

Number of times Zoe jumps in [tex]y[/tex] minutes = 56

As per question statement:

[tex]66x+56y=1266 ...... (2)[/tex]

Multiplying equation (1) with 66 and subtracting equation (2) from it:

[tex]10y = 1386 - 1266\\\Rightarrow 10y=120\\\Rightarrow y =\bold{12\ min}[/tex]

By equation (1):

[tex]x=21-12=\bold{9\ min}[/tex]

Therefore, the answer is:

Grace jumps for 9 minutes.

Zoe jumps for 12 minutes.

Jake has a container in the shape of a rectangular prism.The base of the container is 30 centimeters long and 20 centimeters wide. Jake pours 0.5 gallons of water into centimeters, how high, in centimeters,will the water reach the container?Note that 1 gallon is approximately equal to 3.8 liters and 1cm3 of volume can hold 1 million of water

Answers

Answer:

40 centimeters

Step-by-step explanation:

Which of the following expressions is not equivalent to 12x + 18y?

A.
6(2x + 3y)

B.
3(4x + 18y)

C.
6(2x) + 18y

D.
6x + 9y + 6x + 9y

Answers

A. 6(2x + 3y)

you divide 12 and 6 which will give you 2 then you divide 18 and 6 which will give you 3

There are 13 boxes with 5 pencils in each box. How many pencils in all? (PLZ HELP)​

Answers

Answer:

65 pencils in all

Step-by-step explanation:

13 times 5 is 65, so 65 pencils in all.

need answer for this question please.

Answers

Answer:

y= -2x+5

Step-by-step explanation:

if thats what you are looking for

Which option? Help would be appreciated greatly

Answers

Answer:

Option 4: 6^7

Step-by-step explanation:

The rule is that when multiplying same bases with different exponents, the exponents only get added.

In other words, (x^a)(x^b)=x^(a+b)

In this case, (6^3)(6^4)=6^(3+4)=6^7

Therefore, Option 4 is correct

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