In parallelogram WXYZ, what are the coordinates of the point of intersection of WY and ZX?
Point of Intersection = ____ ____
Answers
Answer:
Point of intersection of WY and ZX is (3.5, 3.5).
Step-by-step explanation:
Since, diagonals of a parallelogram bisect each other,
Point of intersection of the diagonals will be midpoint of each diagonal.
By this property, midpoint (x, y) of the segment joining W(-2, 6) and Y(9, 1) will be,
[tex]x=\frac{x_1+x_2}{2}[/tex]
x = [tex]\frac{-2+9}{2}[/tex] = 3.5
Similarly, y-coordinate of the midpoint will be,
y = [tex]\frac{y_1+y_2}{2}[/tex]
y = [tex]\frac{6+1}{2}[/tex] = 3.5
Therefore, point of intersection of the diagonals of the given parallelogram will be (3.5, 3.5).
Related Questions
Becky read 10 books in 4 days.Sarah reads 50 books in 20 days. Are the two girls reading at the same rate
Answers
10 x 5 = 50
4 x 5 = 20
They both have equal multiples.
12. If 3x + 4y = -1 and x - 2y = 3, then y=
a) 1
b) 2
c)-1
d) 3
e) 4
13. If 2x - 4y = 8 and y=2x + 1, then x
a) 2 b) 4
c) -3
d) 3
e) -2
Answers
y=3 and x= 5
Step-by-step explanation:
3×+×=-1 and 4y-2y=34×=1 and 2y=3×=4-1 and y=3+2x=3 and y=5In the diagram below, triangle A is similar to triangle B. What is the value of n?
In the diagram below, triangle A is similar to triangle B. What is the value of n?
Answers
Answer:
n = 2
Step-by-step explanation:
Since ∆A is similar to ∆B, therefore, the ratio of their corresponding sides would be equal.
Thus:
[tex] \frac{10}{n + 2} = \frac{6}{3} [/tex]
[tex] \frac{10}{n + 2} = 2 [/tex]
Multiply both sides by (n + 2)
[tex] \frac{10}{n + 2}(n + 2) = 2(n + 2) [/tex]
[tex] 10 = 2n + 4 [/tex]
Subtract 4 from each side
[tex] 10 - 4 = 2n + 4 - 4 [/tex]
[tex] 6 = 2n [/tex]
Divide both sides by 2
[tex] \frac{6}{2} = \frac{2n}{2} [/tex]
[tex] 3 = n [/tex]
n = 2
It is known that the variance of a population equals 1,936. A random sample of 121 has been taken from the population. There is a .95 probability that the sample mean will provide a margin of error of a. 7.84 b. 31.36 c. 344.96 d. 1,936
Answers
Answer:
It is known that the variance of a popualtion equals 1,936.
Step-by-step explanation:
That should be correct!!!
There is a 0.95 probability that the sample mean will provide a margin of error of 7.84.
What is mean by Probability?The term probability refers to the likelihood of an event occurring.
Given that;
The variance of a population = 1,936
And, A random sample of 121 has been taken from the population.
Now,
Since, Standard deviation = √ Variance
= √1,936
= 44
Hence, The standard error = 44 / √121
= 44 /11
= 4
We know that;
The critical z factor for a confident interval of 0.95 = ± 1.96
Thus, The sample mean will provide a margin of error = 4 × 1.96
= 7.84
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For which value of Theta is tan Theta equal to sin Theta?
A. pi
B. pi/2
C. pi/4
D. pi/6
Answers
Answer:
a. pi
Step-by-step explanation:
he product (33/4) x (2/11) gives the price of one kilogram of flour.
True of flse
Answers
Answer:
nope thx for the points tho
Step-by-step explanation:
Jason buys a jar of vitamins that contains 180 tablets. He
saves $5 by using a coupon. He pays $11.20. What is the cost
of each tablet for someone who does not have a coupon?
Write and solve an equation for this situation. Solve the
problem.
Answers
Answer: 11 cents
Step-by-step explanation:
add 11.20 +5=16.20, then dived by 180, which equals .11
the sum of two-fifths of a number and
three-tenths of the number.
Answers
Answer:
Seven out of ten
Step-by-step explanation:
Answer:
7/10
Step-by-step explanation:
2/5+3/10=4/10+3/10=7/10
According to the U.S. Census Bureau, 20.2% of American women aged 25 years or older have a Bachelor's Degree; 16.5% of American women aged 25 years or older have never married; among American women aged 25 years or older who have never married, 22.8% have a Bachelor's Degree; and among American women aged 25 years or older who have a Bachelor's Degree, 18.6% have never married.
Required:
a. Are the events "have a Bachelor's Degree" and "never married" independent? Explain.
b. Suppose an American woman aged 25 years or older is randomly selected, what is the probability she has a Bachelor's Degree and has never married? Interpret this probability.
Answers
Answer:
(a) Not independent
(b) The probability the woman has a Bachelor's Degree and has never married is 0.046.
Step-by-step explanation:
Denote the events as follows:
X = American women aged 25 years or older have a Bachelor's Degree
Y = American women aged 25 years or older have never married
The information provided is as follows:
P (X) = 0.202
P (Y) = 0.165
P (X | Y) = 0.228
P (Y | X) = 0.186
(a)
If two events, say A and B are independent then,
P (A|B) = P (A) and P (B|A) = P (B)
Since,
P (X | Y) ≠ P (X)
P (Y | X) ≠ P (Y)
The events "have a Bachelor's Degree" and "never married" are not independent.
(b)
Compute the probability the woman has a Bachelor's Degree and has never married as follows:
[tex]P(X\cap Y)=P(X|Y)\times P(X)\\\\=0.228\times 0.202\\\\=0.046056\\\\\approx 0.046[/tex]
Thus, the probability the woman has a Bachelor's Degree and has never married is 0.046.
Solve for y
y + 2 = -2(x + 2)
Answers
Step-by-step explanation:
y + 2 = -2x - 4
y = -2x - 6
hope it helps, not 100% sure if it's right
Round the answer to the nearest hundredth.
√123.3 = __
Answers
Answer:
11.10
Step-by-step explanation:
√123.3 = 11.10405
Round.
11.10405 → 11.10
Best of Luck!
MArking people as BRAINLIST only answer if you know
Answers
Answer:
Quad 4!
Hope I helped!
~PumpkinSPice1
FIANCE 50 HELP ASAP
Calculate the required return for a Company Z that has a beta of 1.4 if the market risk premium is 9% and the risk-free rate is 4%.
Answers
Calculate the risk measure (beta) compared to the returns of asset and market premium.
1.4 = 4 + 9((rm^-4)
1.4 = 9rm ^-32
33.4 = 9rm
Rm = 3.71
The answer is 3.71
During the summer months, the prices of nonsmoking rooms with a king-sized bed in hotels in a certain area are roughly Normally distributed with a mean of $131.80 and a standard deviation of $29.12. A travel agent randomly selects prices of nonsmoking rooms with a king-sized bed from 15 hotels in the area. What is the probability that their average cost will be more than $150?
a) 0.0077
b) 0.3678
c) 0.2660
d) 0.1125
Answers
If you have a graphing calculator, go to 2nd vars, normalcdf(.
Put 150 for the lower bound and 99999999 for the upper bound. You want to know the probability of all the values over 150. Put 131.8 for the mean and 29.12 for the standard deviation. Click paste.
Your answer will be .266
An airplane measures the angle of depression to a tree to be 15 degree it measures that it is 2 miles off the ground how far is the airplane from the bottom of the tree ?
Answers
Answer:
2.070552361 miles
Step-by-step explanation:
2 / cos 15 = 2.070552361
Solve this ecuetion what is 3-5+9x29=
Answers
Answer:
259
Step-by-step explanation:
[tex] \sqrt{25} [/tex]
Answers
Plz help!
In order for the parallelogram to
be a rectangle, x = [? ]°
13x+349
10x+10°
Answers
Answer:
pretty sure its 2
Step-by-step explanation:
ignore the messing hand writing but I think this is why
A librarian sorts 500 books at a constant rate. After 6 days, the librarian still has 200 books to sort. How much time does it take to sort the books from start to finish?
Answers
Answer: 10 days
Step-by-step explanation: So if the librarian sorted at a constant rate, then they sorted the same amount of books all 6 days. If they still have 200 books left to sort, then they sorted 300 books over 6 days. This means that they sorted 50 books per day. 200 divided by 50 is 4. So it will take 4 more days to finish sorting all the books. So altogether, it will take 10 days to sort all of the books.
The total number of required days is 10.
What is Unitary method ?In order to solve a problem for two different values of a quantity, its unit value is first derived. This method is known as unitary method.
The total number of books is 500.
The books left after 6 days is 200.
The number books read per day is given as,
(500 - 200)/6
= 300/6
= 50
Now, number of days the remaining number of books to be read is,
200/50 = 4
Thus, the total number of days is 6 + 4 = 10.
Hence, it will take 10 days from the start to finish all the books.
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Nadia is mountain climbing. She started at an altitude of 19.26 feet below sea level and then changed her altitude by climbing a total of 5,437.8 feet up from her initial position. What was Nadia’s altitude at the end of her climb? 3,511.8 feet above sea level 5,245.2 feet above sea level 5,418.54 feet above sea level 5,457.06 feet above sea level
Answers
Answer:
5418.54
Step-by-step explanation:
because yes
The area of a circular wave expands across a still pond such that its radius increases by 14 cm each second. Write a formula for the area A of the circle as a function of time t since the wave begins: A=
Answers
Answer:
A = π(14t)²
Step-by-step explanation:
The radius is increasing at the rate of 14 cm per second.
We need to find the formula for the area A of the circle as the function of time t.
Initial area of the circle,
A = πr², where r is the radius of the circle
Area as a function of t will be :
A = π(14t)²
Here, 14t is the radius of the wave.
We want to get the area function given that we know how the radius increases with time.
The function is:
A(t) = (615.44 cm^2)*t^2
Here we know that the radius of a circular wave increases by 14cm each second.
Then we can write the radius as a function of time as:
r(t) = 14cm*t
where t is the time, in seconds, since the wave begins.
Now, remember that the area of a circle of radius r is given by:
A = pi*r^2
where pi = 3.14
Replacing r by the radius function, we get:
A(t) = 3.14*(14cm*t)^2 = (615.44 cm^2)*t^2
This is the area function we wanted to get.
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Which one doesn't belong
Answers
Answer:
Doesnt belong to what?
Step-by-step explanation:
Linear functions is y = x - 7 a linear function?
Answers
Answer:
Linear Function
Step-by-step explanation:
there are an infinite number of ordered pairs of x and y that satisfy the equation.
Point P′(–6, –4) is the image of point P(–2, 3) under a translation. What is the image of (5, –1) under the same translation?
Answers
Answer:
(1,-8)
Step-by-step explanation:
(-2,3) T<-4,-7> = (-6.-4)
(5,-1) T<-4,-7> = (1,-8)
Write 2 equivalent ratios for 24/30
Answers
Answer:
Two equivalent ratios are: 4:5 and 48/60.
Step-by-step explanation:
Well, you can divide on the first one, and multiply on the second one. Hope it helps!
Ruth's credit card has an APR of 10,91%, and it computes finance charges using the previous balance method on a
30-day billing cycle. During the April billing cycle, she made a $45.17 payment on April 10th and a $88.34 purchase on
April 17th. Her total at the start of May was $847.64. What was her balance at the beginning of April?
a $890.91
b. $797.22
C.$796.87
d. $804.47
Please select the best answer from the choices provided
Answers
Answer:
It's B trust
Step-by-step explanation:
The required balance at the beginning of April is $796.87. Option C is correct.
What is interest?Simple interest is defined as the percentage of earnings on the lending for a period of time
To determine Ruth's balance at the beginning of April, we can work backward from her total at the start of May.
Let's call Ruth's balance at the beginning of May "B".
We know that during the April billing cycle:
She made a $45.17 payment on April 10th
She made a $88.34 purchase on April 17th
The APR is 10.91%
So, B = B - $45.17 - $88.34 + (B * 0.1091 * 30 / 365)
Solving for B, we get:
B = $796.87
So, the answer is C. $796.87.
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A plane traveled 1056 miles each way to carson city and back, The trip there was with the wind. It took 11 hours. The trip back was into the wind. The trip back took 22 hours. Find the speed of the plane in still air and the speed of the wind.
Answers
Answer:
1056 = 11 x 3.2 x 3
Step-by-step explanation:
Find hyptoenuse
find mesure of angle 2 (pic attached) (will mark brainliest)
Answers
Answer: The answer is C. 120
I hope u pass the test gl :)
I hope this is the right answer
A company finds that on average, they use 43 minutes for each meeting. An employee sketches a graph to show the total amount of time in minutes, T, used for m meetings. The graph shows the value of T for 1 to 5 meetings. If the employee counts by 10's, what should be the largest value on the T-axis of his or her graph so that the scale is the most appropriate for the given information? Drag and drop the correct number into the box. Response area
Answers
Answer:
220 just took the test
Step-by-step explanation:
Answer:
your answer is 220 :)
4+ (-1 2/3) what’s the answer
Answers
Answer:
2 1/3
Step-by-step explanation: