Given: m arc AB = 4x, m arc BC = 3x
m arc CD = 2x, m arc DA = 3x
Find: m∠APB

Given: M Arc AB = 4x, M Arc BC = 3xm Arc CD = 2x, M Arc DA = 3xFind: MAPB

Answers

Answer 1

Answer:

a > m/bp

Step-by-step explanation:

flip the equation

abp > m

divide both sides with bp

abp/bp > m/bp

a > m/bp

Answer 2

Answer:

m<APB = 30 degrees

Step-by-step explanation:

The sum of angles in a circle is 360 degrees. Add up all the arcs to get the equation : 4x+3x+2x+3x=360 degrees.

x is equal to 30 degrees

m arc AB = 4x = 120 degrees

m arc DC = 2x = 60 degrees

By secants exterior angles, m<APB = 1/2(m arc AB - m arc DC) = 1/2(120-60) = 30 degrees.

The answer is m<APB = 30 degrees


Related Questions

There are 45 balloons at a party, 25 blue and 20 green. What is the ratio of
blue balloons to green balloons at the party?
A. 5:3
B. 3:5
c. 5:4
D. 4:5

Answers

Answer:

C

Step-by-step explanation:

If there are 45 balloons total, and there are more balloons, you will know that the blue balloons will have a higher ratio. The answer is C. 5:4.

Answer:

5: 4

Step-by-step explanation:

maria collects data from a random sample of 7th graders in her school and finds out 16 out 20 7th graders participate in after school activities, how many students should maria expect to participate in after school activities if 240 total 7th graders attend maria’s school?

Answers

Answer:

192

Step-by-step explanation:

ratio of 16/20

cross multiple with x/240

20x=3840

divide

192

Find the volume of a right circular cone that has a height of 18.9 in and a base with a

circumference of 15 in. Round your answer to the nearest tenth of a cubic inch

Answers

Answer:

The volume of the cone is:

112.6 cubic inches.

Step-by-step explanation:

You should know that the volume of a straight circular cone is equal to:

Cone volume = (1/3) PI * r ^ 2 * h

Where:

r = radius.

h = height.

Since the radius and diameter are not provided in the exercise but the circumference, the circumference formula should be used and the diameter must be cleared:

Circumference = PI * Diameter.

When clearing you get:

Diameter = circumference / PI

By replacing the data you get:

Diameter = 15 inches / PI Diameter = 4.77 inches.

Since the radius is equal to half the diameter, then the diameter is equal to 2,385 inches, now having the value of radius we proceed to replace in the volume formula:

Cone volume = (1/3) PI * 2.385 in^2 * 18.9 in Cone volume = 112.581541 in^3 Cone volume = 112.6 in^3

Answer:

112.8 in  

Step-by-step explanation:

Determine whether 25a^2 − 49b^6 is a difference of two squares. If so, factor it. If not, explain why.
A. It is not a difference of squares because −49b^6 is not a perfect square.
B.(5a + 7b^3)(5a − 7b^3)
C.(5a − 7b^3)(5a − 7b^3)
D.(5a − 7b^6)(5a + 7b^6)

Answers

Answer:

Step-by-step explanation:

it is

B

Find the volume. The diameter is 32 meters.

Answers

Answer:

17,148.58

Step-by-step explanation:

[tex] \frac{4}{3} \times \pi \times {r}^{3} \\ = \frac{4}{3} \times 3.14 \times 16 \times 16 \times 16 \\ = 17,148.58[/tex]

help me out pleaseeeee

Answers

Answer:

c) Quadratic Formula

Find the area to the rhombus

Answers

Answer:

120 cm^2

Step-by-step explanation:

area of a rhombus is pq/2

that means that the product of the two diagonals divided by 2 is the area of the rhombus.

so that means one diagonal is 24 and one is 10, (we are given what half of both diagonals are so just multiply by 2)

now put it in the formula

24x10 = 240

now divide by 2

240/2 = 120

check again with google if u disagree

-3(4x+5) please help

Answers

Answer:
-12x-15
explanation:
you multiply -3 by 4x, gives u -12x and then you multiply -3 by 15 which gives you -15
then you put it in an equation
-12x-15

7) Five thousand dollars is invested at an interest rate of 3.5% compounded quarterly.
No money is deposited or withdrawn from the account. Using the formula below, determine,
to the nearest cent, how much this investment will be worth in 18 years. (A = amount,
P = principal, r= interest rate, n = number of times the interest rate compounded annually,
1 = time in years] [Show all work.]
A = P(1 + r/n)^nt

Answers

Answer: $9362.36

Step-by-step explanation:

A = P(1 + r/n)^nt

After 18 years, this investment will be worth of  $9,379.45.

What is compounded interest?

Compound interest is the interest calculated on the principal and the interest accumulated over the previous period.

Compound interest is calculated by multiplying the initial principal amount (P) by one plus the annual interest rate (R) raised to the number of compound periods (nt) minus one. That means, CI = P[(1 + R)ⁿˣ – 1] Here,

P = Initial amount

R = Annual rate of interest as a percentage

n = Number of compounding periods in a given time

Given,  Five thousand dollars is invested at an interest rate of 3.5% compounded quarterly.

From the above formula of compound interest

Total amount  A = P(1 + r/n)^nt

In our case

p = 5000

r = 3.5%

t = 18 years

Thus,

Total amount = 5000( 1 + 3.5%)^18

Total amount = $9,379.45

therefore, this investment will be worth $9,379.45 after 18 years.

Learn more about compounded interest here:

https://brainly.com/question/14295570

#SPJ1

To the nearest millimeter, a cell phone is 99 mm long and 78 mm wide. What is the ratio of the width to the length?

Answers

It asked for width to length, so it is really important to put the width on top and the length on bottom.

46mm

_____

84mm

Reduce the fraction, if you can use a calculator you do not need to show this part.

46/2

____

84/2

can anyone help me on this cant get it​

Answers

Answer:

Yeah it's D

Step-by-step explanation:

30 POINTS AND BRAINLIEST YK U WANT IT! PLZ ANSWER LOL!

Answers

Answer:

What needs to be answered? There's no question.

Step-by-step explanation:

there is no question .

Marco wants to put a decorative boarder around the edge of his circular herb garden. He finds that the distance from the garden’s edge to its center is 42 inches. The store only sells the material in 1 foot increments. How many FEET of material should Marco buy to completely surround the garden?

Answers

Answer:

4 feet or 3.5 feet

Step-by-step explanation:

if 12 inches equals a foot then you divide 42 by 12

which gives you 3.5

Show an equilateral triangle place on the coordinate system. Label the coordinates of the vertices using one variable? Plz help need soon

Answers

Answer:

the answer is (1,5,6,35) or (1.5,-2,33

Step-by-step explanation:

I need help!! ASAP please and thank you!!

Answers

Answer:

5 x 18 = 5 x 2 x 9

5 x 18 = 90

Step-by-step explanation:

For the first equation, notice that 18 is broken into 9 and an unknown.

This can be written as:

18 ÷ 9 = ?

Well, 18 divided by 9 equals 2.

18 ÷ 9 = 2

We can use this to answer the second equation.

Instead of trying to multiply 5 and 18, multiply 5 and 2 first.

5 x 18 = 5 x 2 x 9

5 x 18 = 10 x 9

Now, just multiply 10 and 9.

5 x 18 = 10 x 9

5 x 18 = 90

Therefore, the product of 5 and 18 is 80.

6x + 7 = 67


13


6


10


12

Answers

Answer:

x = 10

Step-by-step explanation:

6x + 7 = 67

Subtract 7 from each side

6x + 7-7 = 67-7

6x = 60

Divide each side by 6

6x/6 = 60/6

x = 10

Answer:

10

Step-by-step explanation:

1) 6x = 67 - 7

2) 6x = 60

3) x = 60/6

4) x = 10

Please mark me as brainliest...it would mean a lot

help me please, its due at night today!!!

Answers

Answer:

Step-by-step explanation:

Area of polygon = area of square + area of triangle

Square:

Side = 12 cm

Area of square  = side *side

                          = 12 * 12

                          = 144 sq.cm

Triangle:

base (b) = 12 cm

Height h = 19 cm

[tex]Area =\frac{1}{2}bh\\\\=\frac{1}{2}*12*19\\[/tex]

= 6 * 19

= 114 sq.cm

Area of polygon = 144 + 114 = 258 square cm

A bride is going to choose 4 bridesmaids from a group of 10. In how many ways can she choose 4 bridesmaids?

Answers

Answer:

210

Step-by-step explanation:

This is the problem of combination.

Number of ways of choosing x thing out n different thing is given by

[tex]{n \choose x} = n!/x!(n-x)![/tex]

___________________________________________

The number of bridesmaids = 10

number of bridesmaids, bride can choose = 4

Thus, Number of ways of choosing 4 bridesmaids thing out 10 bridesmaids  is given by

[tex]{10 \choose 4} = 10!/4!(10-4)! = 10!/4!6!\\=> 10*9*8*7*6!/4*3*2*1 *6! = 5*3*2*7 = 210[/tex]

Thus,  in 210  ways can she choose 4 bridesmaids.

Answer:          210

Step-by-step explanation:

Select all expressions that are equivalent to 16x−12−24x+4. Show or explain your reasoning.
1. 16x - 12(1 + 2x) + 4

2. 40x - 16

3. 4 - 12 + (2x - 3x)

4. -8(x+1)

Answers

Answer:

the correct one is 1. 16x - 12(1 + 2x) + 4

Step-by-step explanation:

16x−12−24x+4 is equivalent to 8x-8

1.  16x - 12(1 + 2x) + 4 is equivalent to 8x-8

2.  40x-16 is equivalent to 8(5x−2)

3.  4 - 12 + (2x - 3x) is equivalent to −x−8

4.   -8(x+1) is equivalent to −8x−8

Can someone please help me? Find the area of the three triangles in the picture. (A-C)

Answers

Answer:

A:

12

B:

16

C:

12

Step by Step Solution:

What is the sum of the fractions? Six 2/3 + 1/9

Answers

Answer:

6 7/9 i think

So the right answer is 6 7/9

Look at the attached picture

Hope it will help you

Good luck on your assignment

Given f(x) = 2x2 − 3 and g(x) = x + 8, identify g(f(4)). Show your work.

Answers

Answer:

37

Step-by-step explanation:

[tex]f(4)=2(4)^2-3=\\\\2(16)-3=\\\\32-3=\\\\29\\\\g(29)=29+8=\\\\\boxed{37}[/tex]

Hope this helps!

Answer:

idk

Step-by-step explanation:

The function h(x) is defined by the expression x2 - 4x + 3. Use factoring
to determine the zeros of h(x). Show your work and explain how you could
also find the zeros on the graph of h(x) on paper, but ONLY enter the zeros
as your answer on the form.

(this question was from a google form)

Answers

Answer:

The zeros are x = 1 and x = 3

In the picture attached, the graph of the function is shown. The zeros are those points where h(x) intersect x-axis.

Step-by-step explanation:

Given the expression:

x² - 4x + 3

Rewrite -4x term:

x² - x - 3x + 3

Take x as common factor in the first terms, and -3 in the last terms:

x(x - 1) - 3(x - 1)

Take (x - 1) as common factor:

h(x) = (x - 1)(x - 3)

The picture has the question and possible answers

Answers

Answer:

maybe the fourth one....

B is the intersection of line AC and line ED. Find the measure of each of the angles.

The measure of angle ABF
The measure of angle ABD
The measure of angle EBC
The measure of angle FBC
The measure of angle DBG

Answers

Answer:

m∠ ABF = 130°, m∠ ABD = 50°, m∠ EBC = 70°, m∠ FBC = 50°, m ∠ DBG = 45°

Step-by-step explanation:

Take a look at the picture below;

Choose the single logarithmic expression
that is equivalent to the one shown
log 2 + log 4 - log 7​

Answers

Answer:

The answer is A. log(8/7)

Step-by-step explanation:

What is the equation of the circle in general form

Answers

Answer:

(x - 3)^2 + (y - 5)^2 = (√89)^2

Step-by-step explanation:

Well if you estimate, you can see that the circle touches one point at (-5, 0) and the center is at about (3, 5).

The standard equation for the circle is (x - h)^2 + (y - k)^2 = r^2 where (h, k) is the center.

So, you can start by plugging in the center. (x - 3)^2 + (y - 5)^2 = r^2

Now, all you have to do is find the radius.

You can do this by connecting the point (-5, 0) to the center.

You will have to use the distance formula:

√(-5 - 3)^2 + (0 - 5)^2 = √64 + 25 = √89

The final equation will be (x - 3)^2 + (y - 5)^2 = (√89)^2

This is the general idea, but my answer may not be correct, so check my steps.

A car dealership sold 78 cars in April. The dealership wants to increase the number of cars sold by 30% in
May. How many cars will the dealership need to sell to reach their goal?

Answers

Answer:

111 cars

Step-by-step explanation:

30% of 78 is

78×30%=78×0.3=23.4

Cars needed to sell

78+23.4=111.4

Unless we can't have 0.4 of a car, we need to round that number, so 111.4≈111

The number of cars the dealership need to sell in May to reach their goal is 101.4 cars.

Given the following data:

Number of cars sold in April = 78 carsPercentage increase = 30%

To find the number of cars the dealership need to sell to reach their goal:

Mathematically, percentage increase is given by the formula:

[tex]Perecent\;increase = \frac{New\;value - Old\;value}{Old\;value} \times 100[/tex]

Substituting the given parameters into the formula, we have;

[tex]30 = \frac{New\;value -78}{78}\times 100\\\\2340=100New\;value -7800\\\\100New\;value = 7800+2340\\\\100New\;value=10140\\\\New\;value=\frac{10140}{100}[/tex]

New value = 101.4 cars

Read more: https://brainly.com/question/16068904

How many solutions exist for the given equation? 3(x – 2) = 22 – x zero one two infinitely many

Answers

Answer:

one solution

Step-by-step explanation:

Given

3(x - 2) = 22 - x ← distribute parenthesis on left side

3x - 6 = 22 - x ( add x to both sides )

4x - 6 = 22 ( add 6 to both sides )

4x = 28 ( divide both sides by 4 )

x = 7

An equation can either have a solution, no solution or infinite many solutions

The equation has one solution.

The equation is given as:

[tex]\mathbf{3(x - 2) = 22 - x}[/tex]

Open bracket

[tex]\mathbf{3x - 6 = 22 - x}[/tex]

Collect like terms

[tex]\mathbf{3x + x = 6 + 22}[/tex]

Evaluate like terms

[tex]\mathbf{4x = 28}[/tex]

Divide both sided by 4

[tex]\mathbf{x = 7}[/tex]

The above equation is true for x = 7

This means that: the equation has one solution.

Read more about equation solutions at:

https://brainly.com/question/2497547

What is the area of this figure?

Answers

Answer:

50

Step-by-step explanation:

Answer:

area of rectangle = l×b

total area = (11×6) + (8×4)

= 66 + 32

= 98in.sq

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