Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers. Prove: The segment joining the midpoints of the diagonals of a trapezoid is parallel to the bases. Slopes are equal; therefore, segments are parallel
The segment joining the midpoints of the diagonals of a trapezoid is parallel to the bases
How to prove: The segment joining the midpoints of the diagonals of a trapezoid is parallel to the bases?From the figure, we have the following coordinates
B = (a, 0)
D = (d, c)
The midpoint of line segment BD is calculated as
BD = 1/2 * (x1 + x2, y1 + y2)
So, we have
BD = 1/2 * (a + d, 0 + c)
This gives
BD = ((a + d)/2, c/2)
Also, we have:
Lines MN and AB are horizontal lines
This means that they have a slope of 0
i.e.
Slope of AB = Slope of MN = 0
Parallel lines have equal slope
Hence, the segment joining the midpoints of the diagonals of a trapezoid is parallel to the bases
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Can someone provide an example and counter example of a function ?
Answer:
A weekly salary is a function of the hourly pay rate and the number of hours worked
Step-by-step explanation:
a function is a map assigning values of a result or solution set to values of a set of initial or starting values.
we typically name these starting values x and the solution values f(x) or y (the results "created" out of x).
we often say
y = f(x)
and provide an expression or table to explain the logic of the mapping between x and f(x).
the only rule to be a function and not just a general relationship between these 2 sets :
every value in the set of starting values must have exactly one assigned solution value. not 0, not 2 (or more). one and only one.
but yes, different values of x can have the same assigned solution value. that is not a problem for a function. it just cannot be the other way around. there cannot be different solution values assigned to the same value of x.
so, a typical example of a function is a line.
e.g.
y = f(x) = 5x + 12
for every value of x you could think of (and everything else) there is exactly one result value calculated.
or the score board in a sports event :
athlete 1 : 12 points
athlete 2 : 24 points
athlete 3 : 20 points
athlete 4 : 22 points
...
the athletes are the "x". and their associated points the "f(x)" or "y".
no athlete is listed multiple times with different scores.
a typical example of not being a function is a circle. for almost every value of x inside the circle (that means for almost every point of the horizontal diameter of the circle) there are 2 values of y (that means points on the arc of the circle) : one above and one below the diameter.
or a strange score board like
athlete 1 : 12 points
athlete 2 : 24 points
athlete 3 : 20 points
athlete 2 : 22 points
athlete 4 : 22 points
...
athlete 2 is listed twice with 2 different scores.
so, this is therefore not a function.
Lesson 3.1 worksheet please help thank you!
In a election of municipality two candidates P and Q stood for the post of mayor and 35000 people were in voter list. Voters were supposed to cast for a single candidate .22000 people cast vote for P, 5500 people cast for Q and 1500 cast vote even for both. How many people didn't cast vote find it
6000 people didn't cast their vote and 1500 votes are not valid in the election
Given that In a municipal election, two candidates, P, and Q, ran for the position of Mayor, and 35000 people voted. Voters were supposed to vote for only one candidate. P received 22000 votes, Q received 5500 votes, and 1500 cast votes for P and Q.
Number of votes for P =22,000
Number of votes for Q= 5500
1500 cast votes to Both P and Q, these votes are not valid because each one is supposed to vote only for one.
Therefore, the number of votes not valid is 1500
Total people cast vote= sum of votes for every party
Total people cast vote=22,000+ 5500+1500
Total people casted vote=29,000
Therefore, 6000 people didn't cast their vote and 1000 votes are not valid in the election
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Find X and Y with these angles. Thank you
A 100kg bag contains peanuts and almonds. Peanuts are priced at $2 per kg and almonds are priced at $2.40 per kg. If the whole bag is priced at $2.08 per kg, how many kg of peanuts and almonds are there in the bag?
Answer:
Step-by-step explanation:x+y=100
(2x+2.4y)/100=2.08
x=80
y=20
Circumference is:
a) The number of square units
that cover the surface of a circle.
b) 3.14
c) The measurement around
the outside of a circle.
d) none of the above
Enter
A 6-inch candle burns down in 6 hours. At what rate does the candle burn, in inches per hour??
Answer:
1 inch per hour.
Step-by-step explanation:
If a candle burns 6 inches in 6 hours, this means 1 inch of the candle melted every hour. Therefore, the candle burned/melted at a rate of 1 inch per hour.
Hope this helps!
Answer: the candle burns down at about 1 inch per hour
Step-by-step explanation: since if it is burning the whole time the equation you can do is 6 hours divided by 6 inches which is 1 hour by 1 inch
15) Falcons can dive at speeds of up to 318 feet per second. Convert this speed to miles per
hour.
Answer:
Step-by-step explanation:
318 feet per second
So 19080 feet per minute
So 1,114,800 feet per hour
So 216.818181... miles per hour
In its Fuel Economy Guide for 2019 model vehicles, the Environmental Protection Agency gives data on 1259 vehicles. There are a number of high outliers, mainly hybrid gas‐electric vehicles. If we ignore the vehicles identified as outliers, however, the combined city and highway gas mileage of the other 1231 vehicles is approximately Normal with mean 22.8 miles per gallon (mpg) and standard deviation 4.8 mpg.
How high must a 2019 vehicle's gas mileage be to fall in the top 15% of all vehicles?
Answer:
I’m not so sure
Step-by-step explanation:
When graphed y=3x+5 will it increase or decrease
It would increase positively because the slope is 3
What is In(3x)=2 ? Pre-Calc/Calc
The final value of the equation is x=e²/3
A natural log is a logarithm with the base "e." It is represented by the symbol "ln." In other words, loge = ln. In other words, the natural logarithm lacks a base. When "ln" is recognized automatically, "e" is assumed to be its base. The same set of logarithmic rules applies to all logarithms, including the natural logarithm. As a result, the following are the key natural log rules (also known as ln rules):
ln (mn) = ln m + ln nln (m/n) = ln m - ln nln mn = n ln mln a = (log a) / (log e)ln e = 1ln 1 = 0log∨b m = x ⇒ m = b∧xlog∨e(3x)=23x=e²x=e²/3Therefore the final answer for the given question is x=e²/3
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Lamar wants to pour 64.98 grams of salt into a container. So far, he has poured 38.5 grams. How much more salt should Lamar pour?
Answer:
Step-by-step explanation:
wants to pour=64.98
have poured=38.5
how much more can he pour=
64.98
-38.50
______
26.48(ans)
3. What are all the factors of 12? a. 12, 24, 36 b. 1, 2, 4, 6, 12 c. 12, 24, 36, 48 d. 1, 2, 3, 4, 6, 12
Answer:
b
Step-by-step explanation:
because it is all the factors
Does doubling the height of a cylinder have the same effect on the volume of a cylinder as doubling the radius? Explain
Answer:
No, doubling the height will just double the volume.
Step-by-step explanation:
It doubles the volume. Volume of a cylinder: volume= \pi *radius squared * height.
Answer:
No, it does not have the same effect. Doubling the height of a cylinder doubles the volume, while doubling the radius generates a volume 4 times greater.
Step-by-step explanation:
:)
If X = 6 units, Y = 8 units, and h = 6 units, what is the area of the trapezoid?????????
-7th
The area of the trapezoid is 42 square units
How to determine the areaThe formula for area of a trapezoid is expressed as;
Area = a + b/ 2 h
Where;
a is the length of the side = 6 unitsb is the length of its base = 8 unitsh is the height of the trapezoid = 6 unitsNow, to determine the area of the trapezoid, we need to substitute the values of the length of the side and its base with the height of the trapezoid.
Substitute the value into the equation
From the above information, we have that;
Area = 6 + 8/ 2 (6)
Find the quotient
Area = 14/ 2(6)
Area = 7(6)
Multiply through
Area = 42 square units
We have that the area of the trapezoid takes the value 42 square units
Thus, the area of the trapezoid is 42 square units
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What polynomial must be added to -3c^{2} +3 -6c in order to get a sum of 2c^{2} -c+5
The polynomial that added to [tex]-3c^{2}+3-6c[/tex] in order to get a sum of [tex]2c^{2}-c+5[/tex] is [tex]5c^{2}+5c+2[/tex]
Given,
The first polynomial = [tex]-3c^{2}+3-6c[/tex]
The result = [tex]2c^{2}-c+5[/tex]
Then,
[tex]-3c^{2}+3-6c[/tex] + second polynomial = [tex]2c^{2}-c+5[/tex]
The second polynomial = [tex]2c^{2}-c+5[/tex] -( [tex]-3c^{2}+3-6c[/tex] )
[tex]=2c^{2}-c+5+3c^{2}+6c-3\\ =(2+3)c^{2}+(-1+6)c+(5-3)\\ =5c^{2}+5c+2[/tex]
Hence, the polynomial that added to [tex]-3c^{2}+3-6c[/tex] in order to get a sum of [tex]2c^{2}-c+5[/tex] is [tex]5c^{2}+5c+2[/tex]
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The sum of two numbers is 58. The first number is 8 less than half the second number. Let c rep
number. Let d represent the second number. Which statements about solving for the two numbe
all that apply.
The equation c+d=58 represents the sum of the two numbers.
The equation c+d=58 represents the sentence "The first number is 8 less than half the seco
The equation C=d-8 represents the relationship between the two numbers.
The equation C=d-8 represents the sum of the two numbers.
The number d is 14.
The number c is 44.
The number is 14
Answer:
The following are the correct choices
First : The equation c + d represents the sum of the two numbers
Third: The equation c = (1/2)d - 8 represents the relationship
and the last choice : The number c is 14
Step-by-step explanation:
Translate the word problem into equations and solve for c and d where c is the first number and d the second
Sum is 58 translates to
c + d = 58 (1) ===> First choice
First number is 8 less than half the second number translates to
c = (1/2)d - 8 (2) ==> Third choice
Multiply equation (2) by 2 on both sides giving
2c = d - 16 ==> 2c - d = -16 (3)
Add equations (1) and (3) giving
c + d + 2c - d = 58-16
3c = 42
c = 42/3 = 14 ===> Last choice
Substituting for c in equation (1) gives
14 + d = 58
d = 44
-) Use the E -
& definition of a limit to prove that
lim 7x3 = 4
x-1
The [tex]\lim_{x \to 1} 7x-3=7(1)-3=4[/tex] using the ε − δ definition of a limit.
The value that a function approaches when the input approaches a certain value is known as a limit. Calculus and mathematical analysis are not possible without limits, which are also required to determine continuity, derivatives, and integrals.
The limit of f(x) at x = c is L according to the epsilon-delta definition of limits if ε > 0 there's a δ > 0 such that if the distance of x from c is less than, then the distance of f(x) from L is less than ε. The idea that we can approach L as closely as we like is expressed in this way.
[tex]\lim_{x \to a}f(x)= L[/tex] if ∀ ε > 0, ∃ δ > 0
0 < | x − a| < δ
⇒ | f(x) − L | < ε
Now, consider the limit
[tex]\lim_{x \to 1} 7x-3=4[/tex]
Here, f(x) = 7x - 3, a = 1, L = 4
Proof:
∀ ε > 0, ∃ δ = ε > 0
0 < | x - 1 | < δ
⇒ | 7x - 3 - 4 | = | x - 1 | < δ = ε
Hence, [tex]\lim_{x \to 1} 7x-3=4[/tex]
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Graph the image of the pre-image shown below, reflected across the y-axis.
PLEAS ANSWER QUICK ASAP
Answer: (3,5),(9,1),(6,-9)
Step-by-step explanation:
Just mirror it to the other side.
If you buy 100 shares of a stock that cost $30 per share and the value of the stock increase 10% each year for 3 years, what is the value of your stock after 3 years
Answer:
$3900
Step-by-step explanation:
100*30=$3000
10%=0.1 ---> 3*0.1=0.3
3000*1.3=$3900
Please help me with the simplifying
The key here is to not worry too much and just follow PEMDAS.
Here we have the expression [tex](5\cdot 7)^2[/tex]. Following PEMDAS, we complete the expression inside the parentheses first, or [tex]5\cdot 7 = 35[/tex]. This gives us [tex](35)^2[/tex] or just [tex]35^2.[/tex]
Hope this helps.
2) Suppose you have a student loan of $5,700 at 7% interest compounded quarterly with
quarterly payments for 10 years.
a) How much would the scheduled payments on the loan be?
b) If you pay an extra $75 each quarter, how long will it take to pay off the loan?
c) How much will you save in payments over the life of the loan by paying $75 extra
each quarter?
I need someone to solve a b c to get the answers
75 dolar freefire topupnow this my gamr
Order the square root of 97 to the third power, 78/9, and the square root of 45 from greatest to least.
Answer:The answer would be the second
Step-by-step explanation:The square root of 97 to the third power is 955.3. 78/9 is 8.6 and the square root of 45 is 6.7.
V=1/3xr^2(h-1) solve for h
Answer: h=3v+xr^{2}/xr^{2}
Step-by-step explanation:
help solve show how to!!!
M(-7)=|3x - 2| + 2
Answer:
M=|3x-2|+2/7
Step-by-step explanation:
Find the value of M:
Divide each term by -7. Simplify.
M=|3x-2|+2/7
Find the value of x:
Simplify both sides of the equation, then isolate the variable.
x=-7M/3 OR x=7M/3+4/3
I hope this helps! I tried. Hope you get it right!
Find the slope of the line
Please help thank you
Answer:
y=3/4x
Step-by-step explanation:
I use the Rise/Run method. It helps the most for me
Which statements describe the key features of the graph of f(x) = -
The graph has a y-intercept at -2.
The graph has an x-intercept at -6.
The graph has a vertical asymptote at x = 3.
The graph has a vertical asymptote at x = -3.
The graph has a horizontal asymptote at y = 1.
18-3x-x? Check all that apply.
x²-9
t distribution, or neither. Claim: μ = 83. Sample data: n = 24, = 103, s = 15.1. The sample data appear to come from a population with a distribution that is very far from normal, and σ is unknown.
Student t distribution
A measurement of a data set's deviation from the mean is referred to as "standard deviation". While a high standard deviation indicates that the data are more spread, a low standard deviation suggests that the data are clustered around the mean.
The average of a group of variables is referred to as the mean in mathematics and statistics. There are several methods for calculating the mean, including simple arithmetic means (adding the numbers together and dividing the result by the number of observations), geometric means, and harmonic means.
We have,
Claim : μ = 83
Sample data : s = 15.1, n = 24, and x = 103
The hypothesis test uses the student t distribution because we are evaluating the mean in this situation, the sample standard deviation of a normal distribution is estimated or supplied, and the population's standard deviation is unknown.
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L = {0,20,40,80,100}
M = {5,10,15,20,25}
N = {10,20,30,40,50}
Sets L, M, and N are shown above. Which of the following sets represents LU (MnN) (the union of L with the interesection of sets M and N)?
The sets represents L ∪ (M ∩ N) is {0 , 10 , 20 , 40 , 80 , 100}.
What is domain and range ?
The bis the set of possible input values, and the range is the set of all possible output values of the graph.
In the sets:
Union (∪) of two sets means all the elements in the two sets without repeating the same elements
Intersection (∩) of two sets means the common elements in the two sets
∵ Set L = {0 , 20 , 40 , 80 , 100}
∵ Set M = {5 , 10 , 15 , 20 , 25}
∵ Set N = {10 , 20 , 30 , 40 , 50}
We need to find L ∪ (M ∩ N)
At first find (M ∩ N)
M ∩ N means find the common elements of M and N
10 and 20 are common elements in M and N
M ∩ N = {10 , 20}
Now find the union of L and {10 , 20}
L ∪ {10 , 20} means all elements in L and {10 , 20} without repeating the same elements
L ∪ {10 , 20} = {0 , 10 , 20 , 40 , 80 , 100}
L ∪ (M ∩ N) = {0 , 10 , 20 , 40 , 80 , 100}
The sets represents L ∪ (M ∩ N) is {0 , 10 , 20 , 40 , 80 , 100}
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