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Picture is in the file below.
In the figure shown, line AB is parallel to line CD. What is the measure of angle x? Explain your answer.

(10 points)

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Answers

Answer 1

answer: 55

Step-by-step explanation:

angle apg is eqal to angle pgr (being alternate angles)

x + pgr is equal to 120 (exterior angle of a triangle is equal to opposite interior angle)

Answer 2

Solution:

Let "E" denote the top right angle. (Refer to image). Then ∠E and ∠R are a linear pair.

⇒ ∠E + ∠R = 180

⇒ ∠E + 120 = 180

⇒ ∠E = 180 - 120

⇒ ∠E = 60°

Line AB forms a straight line which is a measure of 180°.

⇒ 65 + ∠E + x = 180

⇒ 65 + 60 + x = 180

⇒ 125 + x = 180

⇒ 125 - 125 + x = 180 - 125

⇒ ∠x = 55°

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Related Questions

NEED HELP ASAP! Which of the following could be the second equation in the system of equations seen below, so that the system has infinite solutions? Select all that apply.

Answers

Answer:

B, E, F

Step-by-step explanation:

If the system has infinite solutions, then the 2 equations will be identical.

So we are looking for an equation, which, when simplified or rearranged or multiplied by a constant, will be the same as the given equation [tex]4x-6y=12[/tex]

If we multiply equation A by 2 we get: 4x + 6y = 12

This is not the same as the original equation since the operation sign is addition rather than subtraction.

If we divide equation B by 5 we get:  4x - 6y = 12

This is identical to the original equation, and therefore could be the second equation.

Equation C: y = (2/3)x + 12

Multiply by 3:  3y = 2x + 36

Multiply by 2:  6y = 4x + 72

Rearrange:  4x - 6y = -72

If we divide equation D by 1.5 we get: 4x - (8/3)y = 8

Equation E:  y = (2/3)x - 2

Multiply by 3:  3y = 2x - 6

Multiply by 2:  6y = 4x - 12

Rearrange:  4x - 6y = 12

This is identical to the original equation, and therefore could be the second equation.

Equation F:  3y = 2x - 6

Multiply by 2:  6y = 4x - 12

Rearrange:  4x - 6y = 12

This is identical to the original equation, and therefore could be the second equation.

Rationalise this fraction

Answers

Answer:

28-14[tex]\sqrt{3}[/tex]

Step-by-step explanation: Step 1[tex]\frac{14(2-\sqrt{3}) }{(2+\sqrt{3})(2-\sqrt{3}) }[/tex] Step 2 [tex]\frac{14(2-\sqrt{3}) }{1}[/tex] ANSWER = 28-14[tex]\sqrt{3}[/tex]

exprees in standard form:0.0000042.

Answers

the answer is 4.2 x 10^-6

Solve for x:
67x+23=344

STEP-BY-STEP EXPLAINATION GETS BRAINLIEST!!!!


Also, can you please add me as friend on brainly? I have a goal of getting to at least 100 friends!

Answers

Answer:

67x+23=344

collecting like terms

67x=344-23

67x=321

making x the subject of the formula

x=321/67

x=4.79

approximately

x=5

Make me the brainliest

Answer 67x + 23 = 344

Help me again, Last question!

Answers

Answer:

C

Step-by-step explanation:

Area of a parallelogram = base times height.

The base is 14 and the height is 3, you just have to rotate the figure.

A = 14 * 3 = 42 square feet

If the volume of a cone is 12.56, and the height is 3. What is the radius of the cone? R=
NEED HELP ASAP

Answers

Answer:

you can find a radius through its volume and height. Multiply the volume by 3. For example, the volume is 20. Multiplying 20 by 3 equals 60

Step-by-step explanat                      

I hope to help you

There are two glasses of water. One has 17 ml water, and the other has two times that amount. Jen wants to pour them both into 5 ml bottles. How many bottles does she need all together? a. 6 b. 7 c. 10 d. 11

Answers

The number of bottles requires to pour the water into is gotten by dividing the total capacity of water by the capacity of the bottle

Answer = 10 bottles

Capacity of Containers

Given Data

Capacity of first glass = 17mlCapacity of second glass = 2*17 = 34mlCapacity of the bottles to be poured into = 5mlTotal capacity of the two glasses = 34+17 = 51 ml

Let us find the number of bottle required

No of bottles = Total Capacity of the two bottle/Capacity of the small bottles

No of bottles =  51/5

No of bottles =10.2

10 approx.

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2. What do the zeros of this function represent? Remember the zeros are where f(x) = 0.

Answers

Answer:

When f(x) = 0, there will be two 'x' values. The point where the graph crosses the positive x-axis represents the point where the cannon hits the earth.

Step-by-step explanation:

• What methods can be used to solve a system of equations

Answers

Answer:

Three Methods: substitution, elimination, and graphing.

Step-by-step explanation:

Graphing: To find the solution of a system of equations on a graph, you find the point of intersection of the two lines.

Elimination:

Multiply each equation by a certain number to get the LCM for one of the variables.Add/subtract the two equations to get rid of that variable.Substitute that variable into one equation and solve for the remaining variable.

Substitution:

Solve an equation for one of its variables. (either x or y)Substitute this equation into the other equation and simplify/solve.Resubstitute the number into the original equation (#1) to find the other variable.

Making Inferences from Multiple Samples

Solve each problem.

1 A biologist is studying diseases in chimpanzees. He takes three random samples of the same size

from a troop of 150 chimpanzees. One sample indicates that 3% of the chimpanzees are hairless,

another sample indicates that 5% are hairless, and a third sample indicates that 4% are hairless.

How many hairless chimpanzees should the biologist expect to find in the troop?

Answers

Using proportions, it is found that the biologist should be expected to find 6 hairless chimpanzees in the troop.

What is a proportion?

A proportion is a fraction of a total amount.

In this problem, the mean of each sample is as follows: 3%, 5% and 4%.

Hence, from all samples, the mean should be expected to be of:

(3% + 5% + 4%)/3 = 4%.

Out of 150 chimpanzees:

0.04 x 150 = 6.

The biologist should be expected to find 6 hairless chimpanzees in the troop.

More can be learned about proportions at https://brainly.com/question/24372153

When simplified, the expression
[ x1/8] [x3/8] is 12. Which is a possible value of x?
6
24
144
256

Answers

Answer:

The answer is 144

The value of x from the given equation is 144. Therefore, option C is the correct answer.

What is the exponent?

Exponent is defined as the method of expressing large numbers in terms of powers. That means, exponent refers to how many times a number multiplied by itself.

The given expression is [tex](x^{\frac{1}{8} })(x^{\frac{3}{8} })[/tex].

Using exponent formula aⁿ×aˣ=aⁿ⁺ˣ we get

[tex](x^{\frac{1}{8} })(x^{\frac{3}{8} })[/tex] = [tex]x^{\frac{1}{8} +\frac{3}{8} }[/tex]

= [tex]x^{\frac{4}{8}}[/tex]

= [tex]x^{\frac{1}{2}}[/tex]

The simplified expression is equal to 12.

So, [tex]x^{\frac{1}{2}}[/tex]=12

Squaring on both side, we get

x=12²

x=144

Therefore, option C is the correct answer.

To learn more about an exponents visit:

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For a treasure hunt game 300 balls are hidden.of 30% of the balls that are hidden 40% of them are yellow and the rest are white. Sally’s team finds 20% of the yellow and 80% of the white how many balls did Sally’s team find?

Answers

Answer:

Sally's team found 50 balls

Step-by-step explanation:

300 balls are hidden.

300x30%x40%

=36 balls are yellow

Sally's team finds 20% of 36 and 80% of the white balls (300x30%-36).

20%x36+80%x(300x30%-36)

=7 (approximately or else they would've found 7.2 yellow balls) +80%x(90-36)

=7+43 (approximately)

=50

Suppose three days ago was Tuesday. What day of the week will it be 90 days from today?
A) Monday
B) Thursday
C) Friday
D) Saturday
Also write how you got that answer.

Answers

Answer:

the answer if Friday

Step-by-step explanation:

If, according to the problem, it was Tuesday three days ago, then today must be Friday. The days of the week repeat in sets of 7. If today is Friday, then 91 days from now will be Friday as well, since 91 is a multiple of 7. Thus, 90 days from now will be the day before Friday, or Thursday.

Answer:

90 days from now will be the day before Friday, or Thursday.

Step-by-step explanation:

The days of the week repeat in sets of 7. If today is Friday, then 91 days from now will be Friday as well, since 91 is a multiple of 7.

Two objects are moving along separate linear paths where each path is described by position, d, and time, t. The variable d is measured in meters, and the variable t is measured in seconds. The equation describing the graph of the position of the first object with respect to time is d = 2. 5t 2. 2. The graph of the position of the second object is a parallel line passing through (t = 0, d = 1). What is the equation of the second graph? A. D = 2. 5t 1 B. D = t 2. 5 C. D = -0. 4t 1 D. D = 2. 5t 3. 2.

Answers

The equation of second graph is  [tex]d = 2.5 t + 1[/tex]

We have given the linear equation is

[tex]d = 2.5 t +2.2,[/tex]

If the graph of the position of the second object is parallel to

[tex]d = 2.5 t +2.2,[/tex]

What is the  form of linear equation?

The equation of slope intercept form is

[tex]d=mt+b[/tex]

compare the given equation with the slope intercept form

we get  m = 2.5

t = 0, d = 1

1 = 2.5 · 0 + b

b = 1

Therefore,the equation of second graph is  [tex]d = 2.5 t + 1[/tex]

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Which Expressions??, I don't really know T^T Please help

Answers

Answer:

B

Step-by-step explanation:

0.06 is the same as 6 divided by 100. To divide, you would multiply by its reciprocal which is [tex]\frac{1}{100}[/tex]. 0.154 is the same as 154 divided by 1000. To divide, you would multiply by its reciprocal which is [tex]\frac{1}{1000}[/tex].

So, (0.06) * (0.154) is the same as [tex]\frac{6}{100}[/tex] * [tex]\frac{154}{1000}[/tex] or 6 * [tex]\frac{1}{100}[/tex] * 154 * [tex]\frac{1}{1000}[/tex]

Answer: B, C, D, and E.

Step-by-step explanation: When you solve the expression, you get the value 0.00924. So far, E is one of the correct answers, because it is exactly the same as the value of (0.06) x (0.154). When you solve answer A, you get 0.924, so that isn't one of the answers. When you solve answer B, you get 0.00924. When you solve answer C, you get 0.00924, which is another possible answer. When you solve answer D, you get 0.00924. So you pretty much select every answer but A.

Hope this helps! :)

1. Which equation passes through the gas station?

Answers

Answer:

what gas station I presume is the answer

Can you guys give me the steps for this plus the answer?

Answers

Answer:

x = -9

Step-by-step explanation:

First rearrange the terms.

-6x - 6x +3 = 111

Add like terms

-12x + 3 = 111

Subtract 3 from both sides

-12x = 108

Divide -12 on both sides

x = -9

I gave ⅓ of my cake to Jan Jan ¼ to pat what fraction of the cake did I give away ​

Answers

Answer:

1/3

Step-by-step explanation:

Read

1. What is the theoretical probability that a coin toss results in two heads showing?
2. What is the experimental probability that a coin toss results in two heads showing?
3. What is the theoretical probability that a coin toss results in two tails showing?
4. What is the experimental probability that a coin toss results in two tails showing?
5. What is the theoretical probability that a coin toss results in one head and one tail showing?
6. What is the experimental probability that a coin toss results in one head and one tail showing?
7. Compare the theoretical probabilities to your experimental probabilities. Why might there be a difference?

Answers

Answer:

Step-by-step explanation:

1. What is the theoretical probability that a coin toss results in two heads showing?

25%

2. What is the experimental probability that a coin toss results in two heads showing?

50%

3. What is the theoretical probability that a coin toss results in two tails showing

0.5%

4.  What is the experimental probability that a coin toss results in two tails showing?

25%

5. What is the theoretical probability that a coin toss results in one head and one tail showing?

0.5

6. What is the experimental probability that a coin toss results in one head and one tail showing?

0.5

7. Compare the theoretical probabilities to your experimental probabilities. Why might there be a difference?

0.5

There you go. Remember you can figure these answers out by yourself if you really try. From now on ill be answering questions and trying to help other people. Please read from your lessons as they can help you a lot, Thank you.

Jeremy is paying his dad back for money that he borrowed to pay a car repair. The amount that he owes his dad in shown in the graph. Write an equation to represent the situation

Answers

Answer:

wheres the graph? picture?

Step-by-step explanation:

A string of lights is 69 1/3 feet long. the lightbulbs are spaced 8 inches apart. the diagram shows the beginning of the string and the end of the string. what is the total number of lightbulbs on the string of lights?

A. 86
B. 46
C. 104
D. 554​

Answers

Answer:

C. 104

Step-by-step explanation:

First, translate 69 1/3 feet to inches. 69 1/3 * 12 = 832.

Because the lightbulbs are 8 inches apart, we can divide 832 by 8 to get 104.

y + 3y + 5y = -18 what is the value of y

Answers

Answer:

y = -2

Step-by-step explanation:

Step 1: Combine like terms.

[tex](y+3y+5y)=-18[/tex] [tex]9y=-18[/tex]

Step 2: Divide both sides by 9.

[tex]9y/9=-18/9[/tex] [tex]y=-2[/tex]

Step 3: Check if solution is correct.

[tex]-2+3(-2)+5(-2)=-18[/tex] [tex]-2-6-10=-18[/tex] [tex]-18=-18[/tex]

Therefore, y = -2.

find the value of x that will make a||b

Answers

Answer:

30 degrees

Step-by-step explanation:

We know that 2x + 50 and 5x - 80 both add up to 180 degrees because they are co-interior. so, lets simplify it:

2x + 50 + 5x - 80

= 7x - 30

7x - 30 = 180

7x = 210

x = 30 degrees

Using the data set below, create a cluster of three different positive integers to be added to the data set that would
increase the mean by 3.

{ 8, 6, 9, 7, 9, 8, 9}

Use words, numbers, and/or pictures to show your work. Enter your answer in the space provided.

Answers

Answer:

17, 18, 19

Step-by-step explanation:

The mean of the dataset is:

(8 + 6 + 9 + 7 + 9 + 8 + 9)/7 = 56/7 = 8

Increased mean is:

8 + 3 = 11

The sum of the numbers in the larger data set is:

11*(7 + 3) = 110

The difference of sums is:

110 - 56 = 54

We need a combination of 3 different numbers with the sum of 54.

One option would be:

17, 18, 19

7. A monster truck wheel has an area of 324 11 square inches. A toy company wants to create a scaled copy of the monster truck with a wheel area of 911 square inches. What scale factor should the company use?​

Answers

The scale factor that the company used was 0.028

Scale factors

Given the following parameters

Area of truck wheel = 32411 square inches

Area of the truck after scaling = 911 square inches

The formula for finding the scale factor will be;

k = final area/original area

k = 911/32411
k = 0.028

Hence the scale factor that the company used was 0.028

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a) When Cameron went to Canada last, he exchanged 40 U.S. dollars for 46.52 Canadian dollars. Now, Cameron
exchanged 40 US Dollars, did he receive more or less than he received last time he visited? How much more or
less? Show all work!

Answers

Answer:

Less

Step-by-step explanation:

Working with the information provided, we are to determine whether Cameron obtained via exchange more or less on his second trip to Canada. While the time frame for this would help, it's likely that it isn't offered to you, so I'm going to try and simplify.

He would receive less, as the inflation rate in America is higher than in Canada, meaning U.S dollars depreciate in value faster.

Mr. Gephart is traveling from his house to the history museum. How many meters will he travel to the museum? The distance from home to the history museum is six and seven-tenths kilometers. A. 670 m B. 6,700 m C. 0. 067 m D. 67,000 m.

Answers

By using relation between metre and kilometre we got that if The distance from home to the history museum is six and seven-tenths kilometres then he travel 67000 m

What is relation between metre and kilometre?

Relation between  metre and kilometre is that 1 kilometre =1000 metre

we know that kilometre and metre are two units of distance and we can convert data from one to another using their relation

Now here given distance is in kilometre

and distance is67 kilometre

We can convert 67 kilometre  in metre as

67 kilometre = 67 [tex]\times[/tex]1000metre

67 kilometre = 67000 metre =67000 m

By using relation between metre and kilometre we got that if The distance from home to the history museum is six and seven-tenths kilometres then he travel 67000 m

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Answer:  ( B ) (6,700)

Step-by-step explanation:

i checked the question on my quick check

Help plssssssssss? What’s the answerrrr

Answers

Answer:

621200 mg

1.36664 Lb

Step-by-step explanation:

Given;

Cullinan diamond weighed 3106 carats.

1 Carat - 0.2 grams

Question to Answer;

How much does the diamond weigh in milligrams/pounds?

Solve;

Since 1 carat = 0.2 grams

1g = 1000 mg

1g = 0.0022 lb

Thus,

3106 ct = 0.2 * 3106g = 6212g

621.2g = 621.2 * 1000 mg = 621200 mg

621.2g = 621.2 * 0.0022 lb = 1.36664 lb

[RevyBreeze]

Can someone help me with this?

Answers

[tex]hyx^{2} =bx^{2} +hx^{2}[/tex]First you get the length PX

secondly you use the sine rule a\sin A= b\sin B=c\sin C

hence hy = 30

you take 30\sin 90=18\X

cross multiply

sin 90 × 18 = 30×X

sin 90 = 1

1×18=30X

18\30=30X\30

0.6=X

then sin~1 0.6

answer 36.8699 as angle p

then get cos 36.8699

is -17/-40 equal to -0.425

Answers

No, because if you do -17/-40 you would get a positive answer of 0.425 and it would not equal -0.425.

no its would be 0.425 because negative and negative is a positive
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