The points A, B, and C lie on a line so that AB = 12 cm and BC = 13.5 cm. Find the length of segment AC. Give all possible answers.

Give two possible answers. Not just one please.

Answers

Answer 1

Answer:

25.5 and 1.5

Step-by-step explanation:

AC = 12 cm

BC = 13.5 cm

12 + 13.5 = 25.5 cm

13.5 - 12 = 1.5 cm

Answer 2

The possible length of segment AC is 25.5 cm and 1.5 cm.

What is a line segment?

A line segment is a part of line that is bounded by two distinct end-points. A line segment has a fixed length. Figures such as a triangle, polygon, hexagon, square are made of different numbers of line segments.

For the given situation,

The points A, B, and C lie on a line.

Length AB = 12 cm

BC = 13.5 cm

The possible length of segment AC can be found by adding and subtracting the lengths of AB and BC.

a) Length of AC = [tex]13.5+12[/tex]

⇒ [tex]25.5[/tex] cm

b)  Length of AC = [tex]13.5-12[/tex]

⇒ [tex]1.5[/tex] cm

Hence we can conclude that the possible length of segment AC is 25.5 cm and 1.5 cm.

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Related Questions

13 PLS TELL ME THE EQUATION AND HOW TO SOLVE IT WITH THE ANSWER

Answers

Answer:

b

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

This triangle should be 180 degrees.

So you should add 80 and 45 and subtract it from 180 to get x.

9/g + 2h + 5

When g = 3 and h = 6

Answers

The answer fam is............ 20

9 divided by 3 is 3, 2 times 6 = 12

3+12+5=20

Answer:

Answer is 20 The simplified equation is 3+12+5

Step-by-step explanation:

since g =3 and h=6 we get 9/3 + 2(6) + 5 which makes 9/3= 3 and 2(6)=12 so it is simplified to 3+12+5 all added we get 20.

Hope I could Help.

Expand 3x(x^2 – 5x + 6)

Answers

Answer:

3x^3-15x^2+18x

Step-by-step explanation:

Answer:

[tex]3x^{3}-15x^{2} +18x[/tex]

Step-by-step explanation:

In order to expand this expression you need to distribute the 3x to all the terms inside the parenthesis.

The cost of a speeding ticket is a function of each mile per hour that exceeds the speed limit multiplied by a fixed rate of $2 plus a $40 processing fee.Write the function that represents this relationship.Then determine the cost of a speedingticket for a car that has gone 50 mph in a 35 mph zone

Answers

The cost of the speeding ticket for a car that has gone 50 mph in a 35 mph zone is $70.

Describe Function?

In mathematics, a function is a relationship between two sets of numbers, known as the domain and the range, that assigns each element of the domain a unique element in the range. A function can be thought of as a machine that takes input from the domain and produces output in the range.

More formally, a function f from a set X to a set Y is denoted as f: X → Y

For example, the function f(x) = 2x assigns to each real number x a unique real number 2x. When x = 1, f(1) = 2; when x = -3, f(-3) = -6.

Functions can be represented in a variety of ways, including algebraic expressions, tables of values, and graphs. The graph of a function is a visual representation of the relationship between the input and output values, and can be used to analyze the behavior of the function.

Functions are important in many areas of mathematics, science, and engineering, and are used to model relationships between quantities, solve problems, and make predictions. They are also used in computer programming, where they are used to encapsulate behavior and modularize code.

The function that represents the relationship between the speed of a car and the cost of a speeding ticket can be expressed as:

C(x) = 2(x - L) + 40

where:

C(x) is the cost of the speeding ticket for a car traveling at speed x (in mph).

L is the speed limit (in mph).

(x - L) represents the number of miles per hour over the speed limit that the car was traveling.

The fixed rate is $2 per mile per hour over the limit, and there is a $40 processing fee added to every ticket.

To determine the cost of a speeding ticket for a car that has gone 50 mph in a 35 mph zone, we substitute the values for x and L into the formula above:

C(50) = 2(50 - 35) + 40

C(50) = 2(15) + 40

C(50) = 30 + 40

C(50) = $70

Therefore, the cost of the speeding ticket for a car that has gone 50 mph in a 35 mph zone is $70.

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What is the factorization of the expression below?
25x^2 - 36
A. (5x+6)(5x-6)
B. (5x-6)(5x-6)
C. (5x- 4)(5x-9)
D. (5x + 4)(5x-9)

Answers

i think its D????????????????????????


5x5 = 25
9 x 4 = 36
- and a + equals a -



Answer: The answer is A, (5x+6)(5x-6)

Step-by-step explanation: The negative and positive 6 will cancel out the regular X, meaning that 25x^2 and -36 are the only numbers left.

Leah is an interior designer. She will use the scale drawing shown of two bedrooms and a shared bathroom to create her designs for her client. 25 points please help quick!!!!!



What are the dimensions of the outer rectangle in Leah’s scale drawing?

A. 3 3/8 x 5 5/8

B. 5 5/8 x 9

C. 6 3/4 x 5 5/8

D. 15 x 24

Answers

*see attachment for the scale drawing

Answer:

5⅝ in × 9 in

Step-by-step explanation:

Dimensions of the actual length = 15 ft by (9 + 6 + 9) ft

Dimensions of the actual length = 15 by 24 ft = 15 ft × 24 ft

Using the scale given as ⅜ in = 1 ft, let's find the dimensions of Leah's scale drawing of the outer rectangle.

Multiply each dimension in ft by ⅜ to get the dimension of the outer rectangle's scale drawing:

[tex] 15 * \frac{3}{8} = \frac{15*3}{8} = \frac{45}{8} = 5\frac{5}{8} [/tex]

[tex] 24 * \frac{3}{8} = 3 * 3 = 9 in [/tex]

Therefore, the dimensions of the scale drawing of the outer rectangle = 5⅝ in × 9 in

Which transformation can be used to show that LMN is similar to PQR?
A. Dilation, reflection
B. Reflection, translation
C. Rotation, dilation
D. Translation, rotation

Answers

dilation and rotation.

Explanation:
Rotations, reflections and translations are known as rigid transformations; this means they do not change the size or shape of a figure, they simply move it. These rigid transformations preserve congruence.

Dilation, however, are not rigid transformations, since they change the size of a shape. Dilation would not change the shape, just the size; the angle measures would be the same, and the ratio of corresponding sides would be equal to the scale factor used in the dilation. This would give us a similar, but not congruent, figure.

2x − 6 = −6x + 2
work below hurry!!

Answers

Answer:

x=1

Step-by-step explanation:

2x-6=-6x+2

8x=8

x=1

The answer is x=1 , I hoped this helped have a nice day❤️


What is the slope of the following table?

Answers

Answer:

The slope is 7

Step-by-step explanation:

Choose any of the following points for example (0.5,3.5) and (1,7)

7-3.5=4.5/1-0.5=0.5

Divide 4.5/0.5 to get 7

Could someone show me how to do this?

Answers

Step-by-step explanation:

b - no:of students on bus

V - " " on van

so the eqtn is

12v+10b=698

14v+2b=244

so when you solve these two eqtns you get

V=9

b=59

ANSWER FAST FOR BRAINLIEST AND FIVE STARS AND THXS!!!

Answers

Answer:

c

Step-by-step explanation:

dont quote me

Answer:

c.

Step-by-step explanation:

If 3 (x + 2) – 2(x + 1) = 8
what is the value of x

Answers

Answer:

x=4

Step-by-step explanation:

x+4=8

x+4-4=8-4

x=4

Jeremy mixes blue, red, and white paint in the ratio of 3:5:1 to make purple paint. If he uses 24 cups of blue paint, how many total cups of purple paint will he make?

Answers

Answer:

8 cups

Step-by-step explanation:

If it takes 3 blue paint for each purple, the ratio is 3:1

3:1=24:x

x=8

Encuentra la ecuación del siguiente enunciado. El profesor Rigoberto tiene cuatro hijos. Cada uno es un año mayor que el anterior. ¿Cuál es el total de años que acumulan los cuatro hijos de Rigoberto?


x+x+x+x

4x+6

6+x

4+x

Answers

I really needed points sorryyyyyyyy but the Answer is 1/2

Construyendo las ecuaciones, se encuentra que el total de años que acumulan los cuatro hijos de Rigoberto es dado por 4x + 6.

------------------------------------

No sabemos la edad de el menor, entonces, la llaremos de x.Cada uno es un anõ mayor que el anterior, puesto que las edades son: [tex]x + 1, x + 1 + 1 = x + 2, x + 2 + 1 = x + 3[/tex]

El total de años es dado por:

[tex]x + x + 1 + x + 2 + x + 3 = 4x + 6[/tex]

4x + 6, segunda opción.

Encontra-se un problema similar en https://brainly.com/question/23311756

4) Tony pays $245 for a PS4. He decides to sell the PS4 with a 30%
markup. How much is Tony selling the PS4 for?

Answers

Answer:

175

Step-by-step explanation:

trust me .

Answer:

318.5

Step-by-step explanation:

30% of 245 is 73.5

245 + 73.5 = 318.5

Consider the equation : 2x+6y=102 x + 6 y = 10.



If we graph the equation, what is the slope of the graph? Remember you can rewrite the graph in slope-intercept form to help determine your solution: y=mx+b. m = slope.

Answers

Answer:

hmmmmmmmmmmmmmmmmmm i would but im 2 lazy and bored

Step-by-step explanation:

SORRY

12⁴x 9³ x 4
6³ x 8² x 27​

Answers

Answer:

12⁴ × 9³ x 4 = 60,466,176

6³ × 8² × 27 = 373,248

Step-by-step explanation:

You could use the expanded form to calculate the answer

12⁴ = 20,736

9³ = 729

4 = 4

20,736 × 729 × 4 = 60,466,176

6³ x 8² x 27​

6³ = 216

8² = 64

27 = 27

216 × 64 × 27 = 373,248

Jenny works mowing lawns and babysitting. She earns $8.80 an hour for mowing and $7.70 an hour for babysitting. How
much will she earn for 1 hour of mowing and 3 hours of babysitting?

Answers

Answer:

$31.90

Step-by-step explanation:

Hope it helps :)

Have a good day/night

Brainliest pls?

25 POINTS!!!! Help please

Answers

Answer:

Probably A

Step-by-step explanation:

help is it a, b or c??

Answers

Answer:

B

Step-by-step explanation:

A translation is just moving the same shape on a grid, thus nothing changes.

It’s an B because the answer is there

the multiplicative inverse of 7-2 is

Answers

Answer:

8

Step-by-step explanation:

It

Answer:

The answer 1/5

Step-by-step explanation:

mark Brainliest

please hurry.............The table gives an inequality and a number to multiply both sides of the inequality by. Identify the new, true inequality.

A: (24 > 16) (24 < 16) (24 = 16)
B: (-22 > -6) (-22 < -6) (-22 = -6)
C: (21 > -18) (21 < -18) (21 = -18)
D: (-25 > 5) (-25 < 5) (-25 = 5)
Multiplying both sides of an inequality by a positive number (does not change or reverses) the inequality symbol.
the things in "()" are the answer choices lol.

Answers

Answer:

A 3-column table with 4 rows. Column 1 is labeled Inequality with entries 8 greater-than 2, negative 10 less-than negative 2, 15 greater-than negative 5, negative 7 less-than 4. Column 2 is labeled Multiply each side by: with entries negative 2, negative 4, negative 3, negative 5. Column 3 is labeled New Inequality with entries A, B, C, D.

The table gives an inequality and a number to multiply both sides of the inequality by. Identify the new, true inequality.

A:

✔ –16 < –4

B:

✔ 40 > 8

C:

✔ –45 < 15

D:

✔ 35 > –20

Multiplying both sides of an inequality by a negative number

✔ reverses

the inequality symbol.

Step-by-step explanation:

hope this helps

Answer:

1.  B

2. A

3. B

4. A

5. reverses

Step-by-step explanation:

Ok I rlly need help with this question it’s rlly hard for me there’s a picture to show —> helppp

Answers

Answer:

x=20; vertical angles theorem

Step-by-step explanation:

hi! we can use the vertical angles theorem for this. vertical angles are congruent to each other, meaning they are the same amount of degrees. so, we can set 2x+10 and 50 equal to each other.

2x+10=50

2x=40

x=20

x=20 because of the vertical angles theorem.

BRAINLIEST
A type of mold doubles every 9 hours. If you started with 14 spores in a Petri dish, how many spores would you have after 45 hours? After 45 hours, there would be_______spores.​

Answers

Answer:

448

Step-by-step explanation:

Every 9 hours, mold doubles

Started with 14 spores

In 9 hours, 14+14= 28 spores

In 18 hours, 28+28=56 spores

In 27 hours, 56+56=112 spores

In 36 hours, 112+112=224 spores

In 45 hours, 224+224=448 spores

We want to write an equation for an exponential growth that represents the change in the population of mold.

The answer is: "After 45 hours, there would be__448__spores.​"

-----------------------------------

We know that a given type of mold doubles every 9 hours.

So if you start with a quantity A of spores, after 9 hours there are:

2*A spores.

After another 9 hours (for a total of 18 hours) the population is:

(2^2)*A spores.

You already could see the pattern.

After x hours, the number of spores will be given by:

p(x) = A*(2)^(x/9)

Now we want to know how many spores are there after 45 hours, if the initial amount is 14 spores.

So we need to replace:

A = 14x = 45

Then we want to compute:

p(45) = 14*(2)^(45/9) = 448

From this, we can conclude that after 45 hours there will be 448 spores.

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On a standardized multiple choice test, 3 points were awarded for a correct answer, while a wrong answer caused a deduction of 1 point, and no points were awarded or deducted for omitted questions If Marjorie received a score of 84 when she omitted 4 of the 40 questions on the test, how many did she get right? How many did she get wrong?

Answers

Answer: She got 30 questions right and 6 questions wrong.

Step-by-step explanation:

Let x = Number of correct questions, y = Number of wrong questions

As Award for each correct answer = +3 points and Award for each wrong answer = -1 point.

Total score = 3x-1y

If Marjorie omitted 4 of the 40 questions, then she did 40-4=36 questions.

Now, x+y = 36 (1)

and 3x-y =84   (2)  (as she scored 84)

Adding (1) and (2), we get

4x = 120

Divide both sides by 4, we get

x= 30

y = 36-30=6

hence, she got 30 questions right and 6 questions wrong.

Use a common denominator to find –12+(-3).
Explain your answer.

Answers

The answer is 15 because you have two equal signs so they add up and that's why it gives that answer

The correct answer is 15

Have a nice day / night!

which is the best estimate of -14 1/9 × -2 9/10 ​

Answers

Answer: 42

Step-by-step explanation:

-14 1/9 would round to -14

-2 9/10 would round to -3

-14 x -3= 42

What is the slope of the line that passes through the points (0,0) and (6,0)?
Slope =

Answers

Answer:

0

Step-by-step explanation:

it has a zero slope

0,0

6,0

0-0=0

6-0=6

0/6 is 0

22+54=y+16 whats the answer

Answers

Answer:

y=60 or 60=y

Step-by-step explanation:

22+54= 76

76=y+16

60=y or the other way around

After 22 games, JD Drew has 32 hits. After 36 games he has 60 hits. Write a linear equation in slope intercept form to describe the situation. How many hits with JD Drew have after 50 games

Answers

Answer:

JD Drew will have 88 hits after 50 games

Step-by-step explanation:

Linear Modeling

It consists of modeling real-life situations by a function whose graph is a straight line.

The equation of a line can be expressed as:

h=m.g+b

h=number of hits JD Drew has

g=number of games

m,b= constant values

The problem provides two conditions: after 22 games, JD Drew has 32 hits. This is the point (22,32). Also, it has been given after 36 games he has 60 hits. This is the point (36,60).

Substituting the ordered pairs given, we have:

32=m.22+b

60=m.36+b

Subtracting both equations:

60 - 32 = 14m

28 = 14m

Solving:

m = 2

Using the first equation:

32 = (2)*22+b

32 = 44 + b

Solving:

b = -12

The model is now complete:

h = 2g - 12

Finally, calculate the number of hits for g=50 games:

h = 2*50 - 12

h = 100 - 12 = 88

JD Drew will have 88 hits after 50 games

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