Answers
A diagram is shown below.
====================================================
Explanation:
First we make a copy of AB. Then we tack on a copy of CD onto AB. Check out the diagram below to see what I mean. The segments AB and CD glue together to form the larger segment AD. We can say AB+CD = AD. Dividing that larger segment in half will locate the midpoint and it will help us average the lengths of AB and CD. It's the visual or geometric meaning of what "average" means.
To find the midpoint of any segment, we involve the process of finding the perpendicular bisector. Recall that "bisect" means to "cut in half". The perpendicular bisector of XM is point Y, and XY is exactly half that of segment AD.
------------
Check out the diagram below.
Figure 1 is the two segments separated, and figure 2 has us glue them together to form segment AD. Segment AD is renamed to XZ. Finding the perpendicular bisector of XZ leads to point Y at the midpoint and [tex]\text{XY} = \frac{\text{AB+CD}}{2}[/tex], which is shown in figure 3.
Related Questions
Peter says if you subtract 16 from my number and multiply the difference by negative 5 the result is negative 50 what is peter's number?
Answers
Answer:
Below.
Step-by-step explanation:
If n is the required number:
(n - 16) * -5 = -50
-5n + 80 = -50
-5n = -50 - 80
-5n = -130
n = -130 / -5
n = 26 (answer).
What is the fractional equivalent of the repeating decimal 04?
O A.
B.
4
100
C
D.
4
99
NEED HELP ASAP‼️‼️
Answers
Let's see
[tex]\\ \rm\rightarrowtail x=0.444\dots[/tex]
[tex]\\ \rm\rightarrowtail 10x=4.44\dots[/tex]
From both
9x=4x=4/9Ivan finished Four-fifths of his math homework problems and all 3 problems for his science homework before dinner. If he finished a total of 43 problems before dinner, what is the total number of math homework problems he was assigned?
Answers
Answer:
Step-by-step explanation:
Since we know that Ivan finished all his science problems (3) we know that there are only math problems remaining
substract the science problems from the total 43-3=40
And now we can determine the amount of math problems
4/5 = 40/x where x is the total amount of math problems Ivan was assigned
cross multiply
4x = 5*40
4x=200
isolate the variable
4x/4 = 200/4
x=50
So Ivan was assigned a total of 50 math problems
(Note*) since there are 40 math problems finished 40/50 is equal to 4/5. Just a tip if you don't want to do the whole calculation
Hope this helps!
How to calculate the median of a large data set.
Answers
Answer:
The first is organize your data set and after that determinate if the length (the total data) is odd or even dependent of that find the middle value. This is the traditional algorithm for find the median of whatever data set.
Step-by-step explanation:
Organize the data set (ascending or descending order)Determine if the total number of data is odd or evenif is odd use the next formula for find the middle value [tex]X[\frac{n}{2} ][/tex] where [tex]X[/tex] is the data set and [tex]n[/tex] the number of data.if is even use the next formula for find the middle value [tex]\frac{X[\frac{n-1}{2}] + X[\frac{n+1}{2}] }{2}[/tex] in this case you take both middle values and get it's mean.What equation is graphed in this figure?
O 2x+y=-3
O 20y=-3
O 2x+y=3
O 2x -y=3
Answers
Answer: 2x-y=3
Step-by-step explanation:
Rewrite 2x-y=3 in standard form: y = 2x -3
The line on the graph has a y-intercept of -3, as does this equation. We can also see a slope of 2 (y goes up by 2 for every time x increase by 1).
What is the missing divisor?
966 divided by ?=161
Answers
Answer: its 6
Step-by-step explanation: just divide 966 by 161 and the answer would be 6
in the equation f(x) = 5x + 6,6 is called?
Answers
Answer:
the y-intercept
Step-by-step explanation:
Step-by-step explanation:
Since f(x) = 5x + 6 is in the slope-intercept form (y = mx + c), then that would make 6 the y-intercept.
how can i solve this
Answers
Answer: Ill show you some not everything so u can try
Step-by-step explanation: for example 8+y=92
you can make a new problem...
move the 92...
92
subtract
92-
subtract the other number which isnt the variable
92-8
subtract and you get your answer!
Step-by-step explanation:
an equation means that whatever is on one side of the "=" sign is truly equal to whatever is on the other side.
it is like a balance.
you can change the content on one side of the balance, but then you have to make the same change on the other side of the balance. otherwise the balanced relation between both sides is destroyed. and it is no longer an equation.
for the same reason, you can perform any mathematical operation on an equation, as long as you do it simultaneously on both sides.
all these equations are equations with one variable.
so, if we find a way to bring all terms with the variable to one side, and everything else (typically constant numbers) to the other side, while still maintaining the equation relation, then we can solve this by saying "this is only an equation, if the variable has this is that value".
and that is the whole trick.
so, for e.g. t + 3 = 5, how can we get only the variable on one side ? well, the "+ 3" is disturbing, so we subtract 3.
and to keep the balance, we need to subtract 3 on both sides.
that gives us then
t + 3 - 3 = 5 - 3
t = 2
and boom ! the equation has solved itself right in front of our eyes.
and the same thing for all the other equations.
find what is the disturbing additional term on the side of the variable, then get rid of it (and repeat that exact action on the other side) and see what is left on the other side. and you have solved the equation.
that works in every direction like
n + 22 = 5
n + 22 - 22 = 5 - 22
n = -17
12.5 = 7.4 + z
12.5 - 7.4 = 7.4 - 7.4 + z
5.1 = z or
z = 5.1
remember, it is an equation like a balance. you can switch the balance bowls from left to right and right to left, and still they are in balance.
C=pi/2 what is the area?
Answers
Answer:
A=1
Step-by-step explanation:
The formula to find the area of a circle is πr^2, meaning that you divide the diameter in half which is 1. So 1^1 is one. The area would be one.
Hope this helps :)
The area would be one, is, A=1.
What is area of circle?The area of a circle is π multiplied by the square of the radius. The area of a circle, (A) when the radius 'r' is given is πr2. π is approximately 3.142
here, we have,
C=pi/2
The formula to find the area of a circle is πr^2,
meaning that you divide the diameter in half which is 1.
So 1^1 is one.
The area would be one.
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easy one - giving brainly if correct - show work.
Answers
Answer:
51,000
Step-by-step explanation:
50,000
20% raise is
50,000 + 50,000 * 20/100
= 50,000 + 10,000
= 60,000
15% tax is
60,000 * 15/100
= 9000
so total money is 60000 - 9000
= 51000
I will give brainliest who ever answers fastest what is 1+1=?
Answers
Answer:
2
Step-by-step explanation:
Like and give 5 star rating
haha 6 days of history, 3 weeks of math, and 1 week of english all to do tn. It's currently 9:27. oh well who cares aha kinda funny tho
Answers
Answer:
Good Luck - You can do it!!!!!!!
Step-by-step explanation:
I once had 3 months of math to do in one night, but I was able to complete it through online videos. Never Give Up!
Answer:
Sorry about that
Step-by-step explanation:
I hope you finished it all
WILL GIVE BRAILIEST, HELP! :(
Land in Wisconsin is for sale to property investors. A 232 acre lot is listed for sale for 200,500, assuming the same price what size lot could you purchase at 100,000?
-120 acres
-182.9 acres
-115.72 acres
-120.71 acres
Answers
Answer:
115.72 acres
Step-by-step explanation:
232/200,500 = 0.001157
100,000*0.001157 = 115.7 acres
if a car uses one gallon of gas every 25 miles how much miles would he make with 8 gallons
Answers
Step-by-step explanation:
One gallon = 25 miles
8 gallon= 25×8 miles= 200 miles
Kyle read 3 5/6 books and Jan read 2 1/3 books. How many more books did Kyle read than Jan?
Answers
Answer:
3 5/6 = 3 10/12
2 1/3= 2 4/12
3-2=1
10/12-4/12= 6/12=1/2
so Kyle read 1 1/2 more books then Jan
Answer:
Kyle read [tex]1 \frac{1}{2}[/tex] books more than Jan
Step-by-step explanation:
Let's put our equation[tex]3 \frac{5}{6}-2\frac{1}{3}[/tex]
They have different denominators so let's look for the [tex]LCM[/tex] to find our common denominator
Find our LCMDefinition of LCM - LCM stands for least common multiple. The least common multiple of two numbers is the smallest number that is a multiple of both of them.
Now let's find our LCM
[tex]6:6,12,18,24,30,36,42\\\\3:3,6,9,12,15,18,21,24,27,30[/tex]
as you can see our [tex]LCM[/tex] is [tex]6[/tex]
Now our fraction is[tex]3\frac{5}{6}-2\frac{2}{6}[/tex]Solve[tex]3\frac{5}{6}-2\frac{2}{6}=1 \frac{3}{6}[/tex] this can be reduced to [tex]1 \frac{1}{2}[/tex]
Kyle read [tex]1 \frac{1}{2}[/tex] books more than Jan
Brainliest please :)Classify the following polynomial by degree and the number of terms.
3x² - 7
Answers
Answer:
A.) Quadratic binomial
Step-by-step explanation:
The degree of 2 (x²) makes the polynomial quadratic. It is binomial because it contains 2 terms.
The polynomial is:
↬ quadratic binomialSolution:
We classify polynomials based on the number of terms and the degree,
No. of Termsmonomial - 1 term
binomial - 2 terms
trinomial - 3 terms
polynomial - 4 terms or more
Degree (highest exponent)first
second (quadratic)
third (cubic)
fourth (quartic)
and so on.
[tex]\pmb{3x^2-7}[/tex] has 2 terms. Its highest exponent is 2, so clearly, we have a quadratic binomial.
Hence, 3x² - 7 is a quadratic binomial.
In parallelogram HIJK, the measure of angle H is 45∘.
Find the measure of angle J. Explain how you know.
Find the measure of angle K. Explain how you know.
Answers
Answer:
The angle diagonal to angle H = 45
The other two angles equal 135
Step-by-step explanation:
A line equals 180. So 45+135 = 180
I'm sorry that I couldn't list names of the angles. I would need a picture. I hope this made since and could help. God bless!
The measure of angle J is 45 degrees and The measure of angle K is also 45 degree. In a parallelogram, opposite angles are congruent, meaning they have the same measure.
Given that angle H measures 45 degrees, we can use this property to find the measures of angles J and K.
Measure of Angle J:
Since angle J is opposite to angle H in parallelogram HIJK, angle J will also measure 45 degrees. This is because opposite angles in a parallelogram are equal.
Measure of Angle K:
Similarly, angle K is opposite to angle I in parallelogram HIJK. Since the opposite angles are congruent, angle K will also have a measure of 45 degrees.
In summary, the measure of angle J in parallelogram HIJK is 45 degrees, and the measure of angle K is also 45 degrees. This is a property of parallelograms where opposite angles are congruent.
To know more about measure:
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80 POINTS!!! HELP ASAP!!!!
Select the correct answer.
Which statement is true about the effects of the transformations on the graph of function f to obtain the graph of function g.
g(x) = f(x − 3) + 4
A.
The graph of function f is shifted right 3 units and down 4 units.
B.
The graph of function f is shifted right 3 units and up 4 units.
C.
The graph of function f is shifted left 3 units and down 4 units.
D.
The graph of function f is shifted left 3 units and up 4 units.
Answers
Answer:
its c
Step-by-step explanation:
Answer:
The answer is B
Step-by-step explanation: shifted right 3 units and up 4 units.
If Susan can type 72 words per minute, how long will it take her to type her 360 word essay?
Answers
# words in 5.5 minutes
Cross multiply.
34/1=#/5.5
1(#)= 34(5.5)
#= 187
Answer:
5 minutes
Step-by-step explanation:
72/1 = 360/5
Please help! WILL MARK BRAINLIEST
Answers
Answer:
[tex](4,2)[/tex]
Step-by-step explanation:
In our graph only [tex](4,2)[/tex] makes sense
The last one makes an upside-down triangle which is not what we're looking for
The third one makes a weirdly shaped one which we're not looking for
The second one doesn't look like the triangle we're looking for so it's incorrect
This means the first one is correct
Brainliest please
Explain why 4:6 and 8: 10 are not
equivalent ratios.
Answers
Answer:
Because when 4:6 is simplified, you get 2:3, but when 8:10 is simplified, you get 4:5
So, they are not equivalent ratios because their simplified ratios are not the same.
Step-by-step explanation:
Hope this is helpful.
Since the value of the given ratios are different they can not be said to be the equivalent ratio.
What is the ratio?It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.
It is given that the two ratios are 4:6 and 8: 10.
Ratios with the same value are said to be equivalent. If we multiply both portions of a ratio by the same number, we can create comparable ratios.
The ratio 4/6 is in the lowest term is 2/3 equal to 0.66
The ratio 8/10 is in the lowest term is 4/5 equal to 0.8
The values of both ratios are different.
Thus, the values of the given ratios are different they can not be said to be the equivalent ratio.
Learn more about the ratio here:
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Margie's hourly salary is $6. 75. Last week she worked a 20âhour week. How much did she earn?.
Answers
Answer:
125
Step-by-step explanation:
6.25 x 20 = 125
Complete the statement with always, sometimes, or never.
The terms of a polynomial are ________ monomials.
Answers
Answer:
always
Step-by-step explanation:
The terms of a polynomial are _always_ monomials.
A polynomial is a sum of monomials.
Frank pays 2.85 for a bag of 15 tangerines.
Find the unit price in dollars per tangerine.
If necessary, round your answer to the nearest cent.
Answers
Answer:
19 cents because 2.85/15=0.19ct and now we round it up its 20cents!
Step-by-step explanation:
Hope this helps!
Answer:
The answer is $0.19
Step-by-step explanation:
Divide 2.85 by 15.
2.85 ÷ 15 = 0.19
What is a logarithm.
Answers
Answer:
Logarithms were invented in the 17th century as a calculation tool by Scottish mathematician John Napier (1550 to 1617), who coined the term from the Greek words for ratio (logos) and number (arithmos
Step-by-step explanation:
Plz help fast I will mark Brainlyist
Answers
Can u give me a brainliest answer??
m
Hope it helpes!!!
The ratio of students in Class X to Class Y is 2 : 5. There are 24 more students in Class Y than Class X. How many students must transfer from Class Y to Class X so that both classes have equal number of students?
Answers
Answer:
The answer will be 12 students. 12 students must transfer from Class Y to Class X so that both classes have equal number of students.
Step-by-step explanation:
Since the ratio is 2 : 5, we would multiply both number to 8 and get 16 : 40.
Now find the average of those two numbers: (16 + 40) / 2 which gets you 28. Now either subtract 16 from 28 or subtract 28 from 40 and you will get 12.
28 - 16 = 12 students
40 - 28 = 12 students.
encuentra el termino indicado de cada sucesion aritmetica #12avo termino de 2,4,6. #10mo termino de 1,-1-5. #8vo termino de -1,1,3
Answers
Step-by-step explanation:
hope it will helps you my answer
pleaseeeeeeee HELPPPPPPP
A park is rectangular with a length of 1/2 miles. If the area of the park is 6/8 square miles, what is its width? Input your answer as a fraction.
Answers
Answer:
3/2 miles, or 1 1/2 miles
Step-by-step explanation:
Area = Length times Width
So Width is Area / Length
Calculate the problem, (6/8) / (1/2) = (6/8) * (2/1) = 3/2 miles.
Answer:
Area of Park = Length * Width
Therefore Width = Area / Length
= (6/8) / (1/2) = (6/8) * (2/1) = 3/2 miles.
PLZZ MARK BRAINLY
Whats 16 x 32 what does it equal