Mathematics Middle School

In the figure below an angle that is supplementary to angel FAB is:

Thank you if you could help me <3 It’s geometry

Answers

Answer 1

Answer:

CAB

Step-by-step explanation:

Angle CAB and Angle FAB together make 180 degrees(straight angle) . A supplementary angles equal to 180 degrees.

Related Questions

the pair of figures is similar. find x. round to the nearest tenth if necessary.

A: 34cm
B: 29.6cm
C: 9.8cm
D: 21.9cm

Answers

Answer:

Step-by-step explanation:

Answer:

B

Step by step explanation:

(-2ab+8a+8) - (7ab + 6)

Answers

Answer:

-9ab + 8a + 2

Step-by-step explanation:

Combine like terms and distribute the negative

_______________________________

Solution,

(-2ab+8a+8)-(7ab+6)

= -2ab+8a+8-7ab-6

= -2ab-7ab+8a+8-6

= -9ab+8a+2

Hope it helps..

Good luck on your assignment

__________________________

please help! will give brainliest answer!
find x.
a. 2√3
b. 4√3
c. 8√3
d. 8

Answers

Answer:

d. 8

Step-by-step explanation:

sin(α) = opposite/hypotenuse

sin(30°) = 4/x

x = 4/sin(30°) = 4/(1/2) = 8

what is the answer for n ?

Answers

Answer:

Step-by-step explanation:

The formula for interior angles in a ngon is

(n-2)*180

2880/180=16

n-2=16

n=18

calculate the surface area of the following shape

1. 450cm2
2. 294cm2
3. 358cm2
4. 716cm2

Answers

Answer:

210cm2

Step-by-step explanation:

Area of rectangle: HxW

Area of Triangle: 1/2 x bx h

There are 3 rectangles with the length of 14x3

14x3x3

= 14x9

= 126cm2

There are two triangles with the height of 12 and base of 14.

1/2x 14x 12

= 1/2x 168

= 168/2

= 84cm2

Now finally add them together:

84+126

= 210cm2

I just put the answer in the come t

Which line has a slope 3/4

Answers

Line C.

Explanation: It is tilted 3/4 of the way.

Line C shown in the graph has a required slope of 3/4.

Given that,
A figure is shown we have to determine a line that has a slope of 3/4.

What is the slope of the line?

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanФ where x in degrees.

m =(y₂ - y₁) / (x₂ - x₁) = tanФ

here,
The slope of the line A = ∞
The slope of the line D = 0
The slope of the line B = 4/ 3
The slope of the line C = 3/4

Thus, Line C shown in the graph has a required slope of 3/4.

Learn more about slopes here:
https://brainly.com/question/3605446

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Explain how you can use the inscribed angle theorem to justify its second corollary, that an angle inscribed in a semicircle is a right angle

Answers

Step-by-step explanation:

Explanation:

An inscribed angle is an angle formed by two chords in a circle which have a common endpoint. This common endpoint forms the vertex of the inscribed angle. The other two endpoints define what we call an intercepted arc on the circle. The intercepted arc might be thought of as the part of the circle which is "inside" the inscribed angle. (See the pink part of the circle in the picture above.)

A central angle is any angle whose vertex is located at the center of a circle. A central angle necessarily passes through two points on the circle, which in turn divide the circle into two arcs: a major arc and a minor arc. The minor arc is the smaller of the two arcs, while the major arc is the bigger. We define the arc angle to be the measure of the central angle which intercepts it.

The Inscribed Angle Conjecture I gives the relationship between the measures of an inscribed angle and the intercepted arc angle. It says that the measure of the intercepted arc is twice that of the inscribed angle.

The precise statements of the conjectures are given below. Each conjecture has a linked Sketch Pad demonstration to illustrate its truth (proof by Geometer's Sketch Pad!). The linked activities sheet also include directions for further "hands on" investigations involving these conjectures, as well as geometric problems which utilize their results.

The precise statement of the conjectures:

Conjecture (Inscribed Angles Conjecture I ): In a circle, the measure of an inscribed angle is half the measure of the central angle with the same intercepted arc..

Corollary (Inscribed Angles Conjecture II ): In a circle, two inscribed angles with the same intercepted arc are congruent.

Proof: The measure of each inscribed angle is exactly half the measure of its intercepted arc. Since they have the same intercepted arc, they have the same measure.

Corollary (Inscribed Angles Conjecture III ): Any angle inscribed in a semi-circle is a right angle.

Proof: The intercepted arc for an angle inscribed in a semi-circle is 180 degrees. Therefore the measure of the angle must be half of 180, or 90 degrees. In other words, the angle is a right angle.

Why would someone choose to use a graphing calculator to solve a system of linear equations instead of graphing by hand? Explain your reasoning.Why would someone choose to use a graphing calculator to solve a system of linear equations instead of graphing by hand? Explain your reasoning.

Answers

a graphing calculator is just easier to graph the points than having to put every point on a piece of graph paper. the calculator also can tell you a bunch of other things like the domain or range or y intercept or x intercept. it’s just all along easier

We would prefer to use a graphing calculator because it will give a more exact solution, because it is easier to read, and because it is faster to do.

How to find a solution of a system of linear equations?

There are multiple ways, one of them is by graphing the lines and seeing where the lines intersect.

Now, there are two ways of doing this, graphing by hand and using a graphing calculator.

There are cases where graphing by hand is enough, but is more time-consuming than using a graphing calculator. But there are cases where the intersection happens at a point with irrational values, these cases is really hard to find the solution in a graph by hand (as it can have mistakes and you can't zoom in). While if you used a graphing calculator, you could zoom is as much as you want, so you would get a really good estimation for the solution.

If you want to learn more about systems of equations, you can read:

https://brainly.com/question/13729904

A briefcase in the shape of a rectangular prism has a height of 10 cm and a volume of 4,875 Centimeters cubed. What is the area of the base of the briefcase?
243.75 centimeters squared
487.5 centimeters squared
2,437.5 centimeters squared
4,865 centimeters squared

Answers

Answer:

Step-by-step explanation:

the correct question is

A briefcase in the shape of a rectangular prism has a height of 10 cm and a volume of 4,875 cm³. What is the area of the base of the briefcase?

we know that

volume of a rectangular prism=area of the base*height

volume=4875 cm³

h=10 cm

area of the base=volume/height

area of the base=4875/10-----> 487.5 cm²

the answer is

the area of the base is 487.5 cm³

Answer:

487.5 cm³

Step-by-step explanation:

I NEAD HELP ASAP The Lewis family dined at a restaurant. Their bill came to $52, and they plan on leaving a 19% gratuity. This means that the total amount they will pay is 119% of the bill. Which calculation results in the best estimate of the total amount they will pay in dollars? Assume there is no tax. (50) (110 percent) = (50) (100 percent + 10 percent) = (50) (100 percent) + (50) (10 percent) = (50) (1.0) + (50) (0.1) = 50 + 5 = 55 (50) (120 percent) = (50) (100 percent + 20 percent) = (50) (100 percent) + (50) (20 percent) = (50) (1.0) + (50) (0.2) = 50 + 10 = 60 (60) (110 percent) = (60) (100 percent + 10 percent) = (60) (100 percent) + (60) (10 percent) = (60) (1.0) + (60) (0.1) = 60 + 6 = 66 (60) (120 percent) = (60) (100 percent + 20 percent) = (60) (100 percent) + (60) (20 percent) = (60) (1.0) + (60) (0.2) = 60 + 12 = 72

Answers

Answer:

Step-by-step explanation:

multiply 52 times 90% +52

Answer:

Option B is the correct answer.

Explanation:

The image below is the correct answer.

express 1.875 in the form p/q

Answers

Answer:

If the answer asks for improper fraction it is [tex]\frac{15}{8}[/tex]

If it asks for simplest form it is [tex]1\frac{7}{8}[/tex]

Step-by-step explanation:

Rewrite the decimal number as a fraction with 1 in the denominator

[tex]1.875=\frac{1.875}{1}[/tex]

Multiply to remove 3 decimal places. Here, you multiply top and bottom by [tex]10^3=1000[/tex]

[tex]\frac{1.875}{1} *\frac{1000}{1000} =\frac{1875}{1000}[/tex]

Find the Greatest Common Factor (GCF) of 1875 and 1000, if it exists, and reduce the fraction by dividing both numerator and denominator by GCF = 125

[tex]\frac{1875/125}{1000/125} =\frac{15}{8}[/tex]

Simplify the improper fraction

[tex]=1\frac{7}{8}[/tex]

Anyone know the answer to this?

Answers

3x-5+19-x+2x
5x-x=14
4x=14

Answer:

3x-5+19-x+2x

5x-x=14

4x=14

Hope that helps

Suppose that the weights of 5400 registered female Labrador retrievers in the United States are distributed normally with a mean of 62.5 lb and a standard deviation of 2.5 lb. Approximately how many of the Labrador retrievers weigh less than 65

Answers

I believe the normal distribution is symmetrical above and below

the mean. That tells us that in this kind of distribution, the mean

and the median are the same number ... 50% of the population

is below it, and 50% is above it.

So if the female Labs' weight actually follows a 'normal' distribution

with a mean of 62.5 lbs, then 2,700 of them weigh more than 62.5 lbs

and 2,700 of them weigh less than that.

The standard deviation doesn't matter.

Mr. Smith paid $36.36 for a carpet. This amount includes a tax of 10%. What was the cost of the carpet before tax?

Answers

Answer:

32.72

Step-by-step explanation:

36.36/100

0.3636

0.3636 times 90 (I use 90 because 100-10=90) 10% tax, so 90% original cost.

32.72

if you need to exercise 4 hours per week, how many minutes do you need to exercise each day to achieve this goal?

Answers

Answer:

A approximation of 34 minutes and 30 seconds each day .

Step-by-step explanation:

First you would need to convert 4 hours to minutes , so 1 hour equals 60 minutes - 60 min = 1 hour, 60 min times 4 = 240 minutes in total. There are 7 days in total of the week, 240 minutes - 7 days of the week : 240 divided by 7 , equals a approaximation of 34 minutes and 30 seconds each day.

Simplify:

(3x3+5x2−9x−2)−(2x3+3x2−x−3)?

A. x3+8x2−8x+1
B. x3+8x2−10x−5
C. x3+2x2−8x+1
D. x3+2x2−10x+1

Answers

Step-by-step explanation:

Answer is;−

−

Simplify by adding terms.

Tap for more steps...

−

For f(x)= 4x+1 and g(x) = x^2 -5, find (f g)(x).
O A. 4x2 -19
O B. 4x3 + x2 - 4x -6
O C. 4x3 + x2 - 20x-5
O D. 4x3 + x2 - 5x -5

Answers

Answer:

The answer is option c.

4x³ + x² - 20x - 5

Answer:

Step-by-step explanation:

Jesse drives to work. The distance Jesse’s car travels (d) on a number of gallons of gas (g) is given by the equation d = 15g. The constant of proportionality in terms of distance traveled per gallon of gas is ?.

Answers

Answer:

1/15

Step-by-step explanation:

the equation is...

d=15g

Now lets solve for 1 gallon of gas

d=15g

d=15(1)

d=15

This means that for every 1 gallon of gas, 15 (insert missing unit of distance here) can be driven.

15/1=15

1/15

please mark me brainliest :)

This sphere has a diameter of 5 m. What is the volume of the sphere?

Answers

Answer:

65.46 meters cubed

Step-by-step explanation:

Answer: the answer is V= 125/6πm^3

Step-by-step explanation: edge 2021

Solve for x and show all of your steps.
3x - 20 - 4x = 4x - (3x - 2)

Answers

Answer: x = -11

Step-By-Step:
We can start by combining like terms on the left side.
-20 - x = 4x - (3x - 2)
Now we need to distribute the negative on the right side.
-20 - x = 4x - 3x + 2
Now combine like terms on the right.
-20 - x = x + 2
Now add 20 to the other side
- x = x + 22
Subtract x from the left side.
-2x = 22
Now divide by -2.
x = -11

Answer:

Step-by-step explanation:

3x -20 -4x =4x -(3x -2)

3x - 20 -4x = 4x -3x+2

-x-20 =x +2

-20-2=x +x

-22=2x

x= -22/2

x=-11

|x-1|=14 solve the equation

Answers

Answer:

x = 15 x = -13

Step-by-step explanation:

|x-1|=14

There are two solutions to the absolute value equation, one positive and one negative

x-1 = 14 and x-1 = -14

Add 1 to each side

x-1+1 = 14+1 x-1+1 = -14+1

x = 15 x = -13

Answer:

x= 13 or -13

Step-by-step explanation:

Substitute x for 13

|13+-1|=14

13+1=14

14=14

Now try -13

|-13+-1|=14

13+1=14

14=14

Expand the binomial using Pascal's triangle
(3x+5)

Answers

Answer:

Step-by-step explanation:

0. 1

1. 1 1

2. 1 2 1

3. 1 3 3 1

4. 1 4 6 4 1

5. 1 5 10 10 5 1

6. 1 6 15 20 15 6 1

7. 1 7 21 35 35 21 7 1

8. 1 8 28 56 70 56 28 8 1

Multiply each equation by a constant that would help to eliminate the y terms. 2x-5y=-21 3x-3y=-18 What are the resulting equations?

Answers

Answer:

6x - 15y = -63

15x -15y = -90

Step-by-step explanation:

We need to multiply the two equations by a constant that will eliminate the y terms.

The two equations are:

2x - 5y = -21

3x - 3y = -18

Let us multiply the first by 3 and the second by 6. The resulting equations will be:

6x - 15y = -63

15x -15y = -90

Note: To solve the system of equations we can simply subtract the first from the second.

Can someone please help me on these two questions?

Answers

Answer:

Arc = angle/360° x 2πr

13) = 72/360 x 2π x 25

= 1/5 x 2π x 25 = 10π

14) 270/360 x 2π x 2

= 3/4 x 4π = 3π

The graph below shows the distance in miles, m, hiked from a camp in h hours.

Which hourly interval had the greatest rate of change?

1) hour 0 to hour 1
3) hour 2 to hour 3
2) hour 1 to hour 2
4) hour 3 to hour 4

Answers

Answer:

Option 1) is correct

Step-by-step explanation:

Given: The graph shows the distance in miles, m, hiked from a camp in h hours.

To find: hourly interval that had the greatest rate of change

Solution:

Rate of change between two points refers to the vertical change divided by the horizontal change.

For hour 0 to hour 1:

rate of change = [tex]\frac{2-0}{1-0}=2[/tex]

For hour 2 to hour 3:

rate of change = [tex]\frac{4.5-3.5}{3-2}=1[/tex]

For hour 1 to hour 2:

rate of change = [tex]\frac{3.5-2}{2-1}=1.5[/tex]

For hour 3 to hour 4:

rate of change = [tex]\frac{5-4.5}{4-3}=0.5[/tex]

So, rate of change is greatest in interval: hour 0 to hour 1

The greatest rate of change between the interval 0 to 1 hour.

Given that,

The graph below shows the distance in miles, m, hiked from a camp in h hours.

We have to determine,

Which hourly interval had the greatest rate of change?

According to the question,

The greatest rate of change between the interval is determined by the rate of change between two points refers to the vertical change divided by the horizontal change.

1. The rate of change between 0 to 1 hours is,

[tex]\rm Rate \ of \ change = \dfrac{2-0}{1-0}\\\\ Rate \ of \ change= \dfrac{2}{1}\\\\ Rate \ of \ change= 2[/tex]

The rate of change between 0 to 1 hour is 2.

2. The rate of change between 2 to 3 hours is,

[tex]\rm Rate \ of \ change = \dfrac{4.5-3.5}{3-2}\\\\ Rate \ of \ change= \dfrac{1}{1}\\\\ Rate \ of \ change= 1[/tex]

The rate of change between 2 to 3 hours is 1.

3. The rate of change between 1 to 2 hours is,

[tex]\rm Rate \ of \ change = \dfrac{3.5-2}{2-1}\\\\ Rate \ of \ change= \dfrac{1.5}{1}\\\\ Rate \ of \ change= 1.5[/tex]

The rate of change between 1 to 2 hours is 1.5.

4. The rate of change between 3 to 4 hours is,

[tex]\rm Rate \ of \ change = \dfrac{5-4.5}{4-3}\\\\ Rate \ of \ change= \dfrac{0.5}{1}\\\\ Rate \ of \ change= 0.5[/tex]

The rate of change between 2 to 3 hours is 1.

Hence, The required greatest rate of change between the interval 0 to 1 hour.

For more details refer to the link given below.

https://brainly.com/question/2137763

What is the difference between (8y-7) and (1-3y)?

Answers

________________________________

Solution,

(8y-7)-(1-3y)

= 8y-7-1+3y

= 8y+3y-7-1

=11y-8

Hope it helps

Good luck on your assignment

_____________________________

Question 3
the figure needs solving help

Answers

Answer:

ABC = 60

Step-by-step explanation:

The exterior angle is equal to the sum of the opposite interior angles

ACD = B+ A

100 = 40 + B

Subtract 40 from each side

100-40 = 40+B -40

60 = B

ABC = 60

Answer:

60°

Step-by-step explanation:

How many ways can the four offices of chairman, vice chairman, secretary, and treasurer be filled from a club with 28 members?
a.
Permutation; Subscript 28 Baseline P Subscript 4 Baseline = 491,400
b.
Permutation; Subscript 24 Baseline P Subscript 4 Baseline = 255,024
c.
Combination; Subscript 28 Baseline C Subscript 4 Baseline = 20475
d.
Combination; Subscript 24 Baseline C Subscript 4 Baseline = 10626

Answers

Answer:

A)[tex]^{28}P_4}=491400[/tex]

Step-by-step explanation:

Total number of members = 28

We are supposed to find the no. of ways the four offices of chairman, vice chairman, secretary, and treasurer be filled from a club with 28 members

When 1 member is selected for Chairman position

So, 27 members will be left for the selection for the position of Vice chairman

When 1 member out of 27 is selected for Vice chairman position

So,26 members will be left for the selection for the position of secretary

When 1 member out of 26 is selected for secretary position

So,25 members will be left for the selection for the position of treasurer

Permutation relates to the act of arranging all the members of a set into some sequence or order,

The combination is a way of selecting items from a collection, such that (unlike permutations) the order of selection does not matter.

So, we will use permutation over here

Formula [tex]^nP_r=\frac{n}{(n-r)!}[/tex]

Substitute n = 28 and r = 4

So,[tex]^{28}P_4=\frac{28!}{(28-4)!}=491400[/tex]

So, Option A is true

A)[tex]^{28}P_4}=491400[/tex]

Hence There are 491400 ways the four offices of chairman, vice chairman, secretary, and treasurer be filled from a club with 28 members.

The number of ways the four offices of chairman, vice chairman, secretary, and treasurer be filled from a club with 28 members is 491,400.

The given parameters

Number of members = 28 Number of positions = 4

Total arrangement of the different positions available

[tex]nP_r =\frac{n!}{(n- r)!}[/tex]

[tex]28 P4 = \frac{28!}{(28-4)!} = \frac{28!}{24!} = 491,400[/tex]

Thus, the number of ways the four offices of chairman, vice chairman, secretary, and treasurer be filled from a club with 28 members is 491,400.

Learn more about permutation here: https://brainly.com/question/3086912

Given the piecewise function shown, find the value of h(–6). A) 1 B) 26 C) -23 D) -6

Answers

Answer:

-22

Step-by-step explanation:

Which part of the function is valid when x = -6

The first part

h(-6) = 4x+2 and let x = -6

=4(-6) +2

= -24 +2

=-22

Answer:

-22

Step-by-step explanation:

The external angle of a regular polygon is 200 . How many sides does it have ? What is the measure of each interior angle? What is the total measure of its angles.

Answers

Answer:

An 18 sided shape.

Since the sum of the exterior angles of a polygon is 360° and an angle of the regular polygon is 20°, then 360° / 20° is the number of sides. We find the answer = 18, an octadecagon

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The amount of detail provided in the theory c. How recently the theory has been published d. The respectability of the scientists setting forth the theory18. Substances that cannot be decomposed to any simpler substances are called a. Compounds. b. Elements. c. Mixtures. d. None of the above.19. When the air in a bell jar containing a ringing bell is removed, the sound decreases because a. The removal of the air prevents electric current from flowing b. Sound cannot travel through the air c. Sound cannot travel through glass d. Sound cannot travel in a vacuum20. An element common to all acids is a. Chlorine. b. Oxygen. c. Nitrogen. d. Hydrogen.21. The amount of matter in an object is best expressed by its a. Density b. Mass c. Volume d. Weight22. A substance that increases the rate of a reaction is a a. Liquid b. Gas c. Catalyst d. Solid Which of the following statements about the spread of Christianity is false?A.Imperialism and colonization promoted the spread of Christianity.B.Colonists and migrants are mostly responsible for bringing Christianity to North America.C.Many people in Latin America were forced to convert to Christianity.D.Christianity did not spread to as many people as Islam did; Christianity is the world's second-largest religion. What do we call each step that makes up a reaction mechanism? A. reaction step B. individual stepC. Elementary StepD. reactant step At the start of the week, Crystals bank account had a balance of $280. Each day from Monday to Friday, she used her debit card to pay $5 for parking. She wrote a check for $42, and made two deposits of $75 each. She also withdrew $200 in cash at an ATM. What was Crystals balance at the end of the week?Evaluate the expression below to solve the problem.280 + 5(5) + (42) + 2(75) + (200)answer down here $ uring a collision with a wall, the velocity of a 0.200-kg ball changes from 20.0 m/s toward the wall to 12.0 m/s away from the wall. If the time the ball was in contact with the wall was 60.0 ms, what was the magnitude of the average force applied to the ball? During a collision with a wall, the velocity of a 0.200-kg ball changes from 20.0 m/s toward the wall to 12.0 m/s away from the wall. If the time the ball was in contact with the wall was 60.0 ms, what was the magnitude of the average force applied to the ball? 26.7 N 16.7 N 13.3 N 107 N 40.0 N What two states carved out of the territory acquired as a result of the Mexican War. Help!!Cindy dissolves 19 1 /4 grams of drink mix in 1 3 /4 ounces of water. What is the unit rate in grams of drink mix per ounce of water?

In the figure below an angle that is supplementary to angel FAB is: Thank you if you could help me <3 It’s geometry

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In the figure below an angle that is supplementary to angel FAB is:

Thank you if you could help me <3 It’s geometry