Which equation can be used to solve for m∠1? m∠1 = one-half(a – b) m∠1 = one-half(a b) m∠1 = one-half(c – d) m∠1 = one-half(c d)

Answers

Answer 1

The equation will be:

[tex]m\angle 1=\dfrac{1}{2}(arc\ a-arc\ b)[/tex]

What is arc of circle?

The arc of the circle is the curved line on the circle formed by the angle and the radius of the circle.

In the attached picture of the question, we can see that

The measure of the interior angle is the semi-sum of the arches that comprise it and its opposite.

So the equation will be

[tex]m\angle 1=\dfrac{1}{2}(arc\ a-arc\ b)[/tex]

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Which Equation Can Be Used To Solve For M1? M1 = One-half(a B) M1 = One-half(a B) M1 = One-half(c D)
Answer 2

Answer: a

Step-by-step explanation:


Related Questions

The girls bought 20 blue hair bows, lost 4 bows, and gave 3 away. What percent of the bows do the girls still have?

Answers

Answer:

65%

Step-by-step explanation:

4 + 3 = 7

7/20 = 35/100

100 - 35 = 65

I may be wrong but yknow

Find the area if the trapezoid. THANK YOU!

Answers

Answer:

4x^3 - 22x^2 + 6x + 20

Step-by-step explanation:

((b1+b2)/2)(h)

Help please. Thank you

Answers

Step-by-step explanation:

use the formula and simply solve

Find a linear equation with two variables that, together with the
equation 10x + 5y = 1, would comprise a system
without a solution.

Answers

Answer:

10x+5y=2

Step-by-step explanation: You have the equation 10x+5y=1 and from the problem, we are trying to find an equation that does not produce a solution with 10x+5y=1. To do this know 1 is your y-intercept and if you put 10x+5y=1 into slope-intercept form you'll get y=-2x+1/5. Solve the problem know that you can use any number besides 1 on the right side and have the same slope to fit the question. What I mean is that let's say I have 10x+5y=2, I put it into a slope-intercept form I'll have y=-2x+2/5. The two equations y=-2x+1/5 and y=-2+2/5 will not meet because their slopes are PARALLEL. So in short have a different y-intercept but the same slope to not get a solution. Additional note you could have other y-intercepts such as 3,4,5,6,7,8, or 9 in your standard form equation 10x+5y= to get a equation that does not make a solution with 10x+5y=1.

The perimeter of a rectangular
painting is 18 feet. It is 4 feet wide.
How high is it?
feet

Answers

Answer:

5 ft

Step-by-step explanation:

Since we have a rectangle, we know for sure that perimeter = double the width and double the height. Algebraically, that looks like:

P = 2W + 2H

Let's sub in the given values, P and W:

18 = 2(4) + 2H

Now, let's solve for the height, H:

18 = 8 + 2H

10 = 2H

10/2 = H

5 = H

I hope this helps!

Dana invests £5000 for 4 years in a savings account She gets 2% per annum compound interest in the first year, then x% for 3 years, Dana has £5508.23 at the end of 4 years, work out the value of x.

Answers

Answer:

£1,330.46

Hope this helps, mate!

Step-by-step explanation:

Hope this helps, mate! :)

If the area of a circular cricket ground is 15,400 m2, then find its circumference. (Take π≈22/7)

Answers

Answer:

440m^2

Step-by-step explanation:

15400/(22/7)=4900, which is r^2, so r=70. Now we can find the circumference by doing 22/7*2*70, which is 440.

Find the radius of the circle:

Area of a circle = pi x r^2

15,400 = 22/7 x r ^2

Divide both sides by 22/7

4900 = r^2

Take the square root of bothe sides:

R = 70

The radius of the circle is 70 meters.


now find the circumference:

Circumference = 2 x pi x radius

Circumference = 2 x 22/7 x 70

Circumference = 440 meters


answer: 440 meters

Use the ordered pairs below. (10,20), (11, 21), (12, 22) What patterns are used to create the ordered pairs?​

Answers

Answer:

The x and y points are increasing by 1

Step-by-step explanation:

(x + 1, y + 1)

The x and y points are increasing by 1

(10, 20) => (10 + 1, 20 + 1) => (11, 21)

(11, 21) => (11 + 1, 21 + 1) => (12, 22)

(10, 20), (11, 21), (12, 22)

Hope this helps!

What is the value of x?

Answers

Answer:

53

Step-by-step explanation:

This is because the total angle is 90, which is a complementary angle. So what you do is you subtract the total which is 90 from 37 to find x which is 53

PLEASE HELP ASAP!!! Draw the image of the following segment after a dilation centered at the origin with a scale factor of 5/3.

Answers

Look for the 5 at the bottom and go up until you stop at the 8 and you will put the dot there

Which expression is equivalent to 16 4 6 a x , when a > 0 and x > 0?

Answers

The expression of [tex]\sqrt{[/tex](16a^4x^6) is an algebraic expression

The equivalent expression of [tex]\sqrt{[/tex](16a^4x^6) is 4a^2x^3

How to determine the equivalent expression?

The expression is given as:

[tex]\sqrt{[/tex](16a^4x^6)

Expresss 16 as the square of 4

[tex]\sqrt{[/tex](16a^4x^6) = [tex]\sqrt{[/tex](4^2a^4x^6)

Evaluate the square root of each factor in the expression

[tex]\sqrt{[/tex](16a^4x^6) = 4a^2x^3

Hence, the equivalent expression of [tex]\sqrt{[/tex](16a^4x^6) is 4a^2x^3

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How long will it take Eniola to save $5,000 if she started with $500 and found a rate of 6. 2%? Round to the nearest whole number

Answers

Answer:

38.28 years

Step-by-step explanation:

The computation of the time period is shown below:

Given that

RATE = 6.2%

PV = $500

PMT = $0

FV = $5,000

The formula is shown below:

= NPER(RATE;PMT;-PV;FV;TYPE)

After applying the above formula, the time period is 38.28 years

Hence, in order to save $5,000 it would take 38.28 years

.For any positive integer n, prove that n^3 - n is divisible by 6. ​

Answers

Answer:

Step-by-step explanation:

Solve each equation.

Answers

Equation 1: x=32

Equation 2: y=28

Answer:

x  = 32

x = 28

Step-by-step explanation: hope this helps

A and B are complementary. If B = 26°, what is the measure of A?

26°
154°
64°
74°

Answers

Answer:

64°

Step-by-step explanation:

      When angles are complementary, they can be added together to equal 90°.

90° - 26° = 64°

           The measure of angle A is 64°.

Please help me
What is the difference between 14n +7 and 8n + 3/4

Answers

(14n + 7)-(8n + 3/4)
= 14n - 8n + 7 - 3/4?
= 6n + 25/4

Can someone please help me out with this question?​

Answers

Answer:

A. x=6, y=3

Find the point where the two lines intersect and find the x and y coordinates where they intersect.

Find the equation to graph when 5x-4<0

Answers

Hey there!

5x-4<0

=> 5x < 0 + 4

=> 5x < 4

Divide both sides by 5

=> 5x/5 < 4/5

=> x < 4/5

x < 0.8

Graph in image

A simple random sample of 90 is drawn from a normally distributed population, and the mean is found to be 138, with a standard deviation of 34. What is the 90% confidence interval for the population mean? Use the table below to help you answer the question. Confidence Level 90% 95% 99% z*-score 1. 645 1. 96 2. 58 Remember, the margin of error, ME, can be determined using the formula M E = StartFraction z times s Over StartRoot n EndRoot EndFraction. 128. 75 to 147. 25 130. 98 to 145. 02 132. 10 to 143. 90 137. 38 to 138. 62.

Answers

The 90% confidence interval for the population mean of the considered population from the given sample data is given by: Option C:  [130.10, 143.90]


How to find the confidence interval for population mean from large samples (sample size > 30)?

Suppose that we have:

Sample size n > 30Sample mean = [tex]\overline{x}[/tex]Sample standard deviation = sPopulation standard deviation = [tex]\sigma[/tex]Level of significance = [tex]\alpha[/tex]

Then the confidence interval is obtained as

Case 1: Population standard deviation is known

[tex]\overline{x} \pm Z_{\alpha /2}\dfrac{\sigma}{\sqrt{n}}[/tex]

Case 2: Population standard deviation is unknown.

[tex]\overline{x} \pm Z_{\alpha /2}\dfrac{s}{\sqrt{n}}[/tex]

For this case, we're given that:

Sample size n = 90 > 30Sample mean = [tex]\overline{x}[/tex] = 138Sample standard deviation = s = 34Level of significance = [tex]\alpha[/tex] = 100% - confidence = 100% - 90% = 10% = 0.1 (converted percent to decimal).

At this level of significance, the critical value of Z is: [tex]Z_{0.1/2}[/tex] = ±1.645

Thus, we get:

[tex]CI = \overline{x} \pm Z_{\alpha /2}\dfrac{s}{\sqrt{n}}\\CI = 138 \pm 1.645\times \dfrac{34}{\sqrt{90}}\\\\CI \approx 138 \pm 5.896\\CI \approx [138 - 5.896, 138 + 5.896]\\CI \approx [132.104, 143.896] \approx [130.10, 143.90][/tex]

Thus, the 90% confidence interval for the population mean of the considered population from the given sample data is given by: Option C:  [130.10, 143.90]

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Paint costs $3.99 per can and brushes cost $2.50 each. The sales tax rate is 5%. Which expression represents the total cost of p cans of paint and b paint brushes


Answers

Multiply the price of each by the quantity purchased, add those together, then multiy the total by the sales tax.


Total = 1.05(3.99p + 2.50b)

solve for Surface Area

Answers

Answer:

325.76

Step-by-step explanation:

72+104+149.76

Diana is trying to choose a broker who will help her purchase a par value $1,000 corporate bond from deegan pharmaceuticals. broker p charges a commission of 4.4% of the market value of each bond purchased, and broker q charges a flat fee of $32.50 for each bond purchased. if bonds from deegan pharmaceuticals are selling at 104.682, which broker will give diana the better deal, and by how much? a. broker p’s commission will be $9.47 less than broker q’s. b. broker p’s commission will be $27.89 less than broker q’s. c. broker q’s commission will be $13.56 less than broker p’s. d. broker q’s commission will be $11.50 less than broker p’s.

Answers

Broker q’s commission with a charge of $32.50 will be $11.50 less than broker p’s commission of 4.4%

What is a bond?

A bond is a fixed-income instrument that represents a loan made by an investor to a borrower.

Par value of bond = $1,000

Commission on this by broker p= 4.4% = 1000*(4.4)/100= $44

So, the total price spent to purchase this bond = $1044

Par value of bond = $1,000

Commission on this by broker q= $32.50

So, the total price spent to purchase this bond =1000+32.50 = $1032.50

Difference between both deals = 1044-1032.50 = $11.50

Therefore, broker q’s commission will be $11.50 less than broker p’s.

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Answer:

C. Broker Q's commission will be $13.56 less the Broker P's.

Step-by-step explanation:

I just took the test and got it right.

help pls i cant figure this out

Answers

Answer:

answer is 1 metre

Step-by-step explanation:

We can assume the width be 'x'

Now we would get the equation

(2x+10)(2x+14)=192

on solving we get x=1

What is the volume of this figure?

6004 in³

6624 in³

9936 in³

10,488 in³

Answers

The volume of the figure is the amount of space in the figure

The volume of the figure is 10488 cubic inches

How to determine the volume?

The figure is a composite figure, and it contains:

A rectangular prism A triangular prism

The volume (V1) of the rectangular prism is:

V1 = Length * Width * Height

V1 = 18 in * 23 in * 16 in

V1 = 6624 cubic inches

The volume (V2) of the triangular prism is:

V2 = 0.5 * Base * Width * Height

V2 = 0.5 * 23 in * 16 in * 21 in

V2 = 3864 cubic inches

Add the volumes of both figures

V =  V1 + V2

V = 6624 cubic inches + 3864 cubic inches

V = 10488 cubic inches

Hence, the volume of the figure is 10488 cubic inches

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Answer:

The answer is D: 10488

Step-by-step explanation:

a coach is buying snacks for 22 players at a soccer match. She pays a total of $77 to buy each player a bottle of water and an energy bar. The price of one energy bar is $2. w equal the price of a bottle of water. Write an equation that represents the situation.

Answers

Answer:

$1.5 per water bottle.

Step-by-step explanation:

One energy bar is equal to $2.

$2 * 22 players is equal to $44.

$44 - $77 is equal to $33.

$33 ÷ 22 players is $1.5.

the reason I divided $33 by 22 players is because you need to know how many dollars did he pay for each bottle of water so you divide the amount of dollars by the amount of players to get the amount of dollars of each water bottle.

Joslynn makes $8.25 per hour babysitting. If she made $123.75 last week, then how
many hours did she work last week?

Answers

Answer:

We already know that Joslynn makes $8.25 per hour.

Equation:

123.75 divided by 8.25= worked hours

123.75 divided by 8.25 = 15 hours

So last week Joslynn worked 15 hours to make $123.75.

sue got to the library at 10:30 am.
she stayed at the library for 40 minutes
then she walked home.
sue took 1[tex]\frac{1}{4}[/tex] hours to walk home
at what time did sue get home?

Answers

Answer:

he arrived at 11:05 am.....

Answer:

12:25pm

Step-by-step explanation:

10:30 + 40 minutes = 11:10

11:10 + 1hr and 15 mins = 12:25

Help pleaseee i am awful at math

Answers

Step-by-step explanation:

use the above process and answer is $3.60

What percent of 72 is 9?
O 1/8% O 1 1/4% O 12 1/2% O 125%

Answers

Answer:

1/8%

Step-by-step explanation:

just divide the 72 and 9 , the 9 divide it as a percentage

Step-by-step explanation:

100% = 72

1% = 100%/100 = 72/100 = 0.72

9 is that many % as 1% fits into it.

so,

9/0.72 = 12.5% = 12 1/2 %

the third answer option is correct.

help worth a lot of pounts

You want to buy a new computer that costs $2250. You check your savings-account balance and realize that to buy the computer, you will need $125 more than what you have in your savings account. How much money do you have in your savings account?

Equation:

Define the Variable:

How much money in your savings account?

Answers

Answer:

See below.

Step-by-step explanation:

Let x = amount of money you have in your account.

The money in your account plus the $125 extra that you need equals the total cost of the computer.

The equation is:

x + 125 = 2250

Now we solve the equation by subtracting 125 from both sides.

x = 2125

Answer: You have now $2125 in your account

Answer:

$2125

Step-by-step explanation:

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