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)
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°
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.
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
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.
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!
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
Help me again, Last question!
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
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
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 ContainersGiven 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 mlLet 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.
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
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?
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
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.
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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?
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.
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.
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
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?
Answer:
what gas station I presume is the answer
Can you guys give me the steps for this plus the answer?
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
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?
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
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
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
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
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.
Answer:
17, 18, 19Step-by-step explanation:
The mean of the dataset is:
(8 + 6 + 9 + 7 + 9 + 8 + 9)/7 = 56/7 = 8Increased mean is:
8 + 3 = 11The sum of the numbers in the larger data set is:
11*(7 + 3) = 110The difference of sums is:
110 - 56 = 54We need a combination of 3 different numbers with the sum of 54.
One option would be:
17, 18, 197. 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?
The scale factor that the company used was 0.028
Scale factorsGiven 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!
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.
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
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?
[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
No, because if you do -17/-40 you would get a positive answer of 0.425 and it would not equal -0.425.