Answers
Given:
The vertices of a parallelogram GHJK are K(1,2), J(5,2), G(0,8).
To find:
The coordinate of the vertex H.
Solution:
We know that the diagonals of a parallelogram bisects each other. It means the midpoint of the diagonals are same.
Let the coordinate of the vertex H are (a,b).
Midpoint formula:
[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]
In parallelogram GHJK ,
Midpoint of diagonal GJ = Midpoint of diagonal HK
[tex]\left(\dfrac{0+5}{2},\dfrac{8+2}{2}\right)=\left(\dfrac{a+1}{2},\dfrac{b+2}{2}\right)[/tex]
[tex]\left(\dfrac{5}{2},\dfrac{10}{2}\right)=\left(\dfrac{a+1}{2},\dfrac{b+2}{2}\right)[/tex]
On comparing both sides, we get
[tex]\dfrac{5}{2}=\dfrac{a+1}{2}[/tex]
[tex]5=a+1[/tex]
[tex]5-1=a[/tex]
[tex]4=a[/tex]
And,
[tex]\dfrac{10}{2}=\dfrac{b+2}{2}[/tex]
[tex]10=b+2[/tex]
[tex]10-2=b[/tex]
[tex]8=b[/tex]
Therefore, the coordinates of the vertex H are (4,8). Hence, option B is correct.
Related Questions
John is putting a fence around his garden that is shaped like a half circle and a rectangle.How much fencing will John need? Use for .32 ft39 ft46 ft57 ft
Answers
Answer:
The perimeter of the garden = 46 ft
Step-by-step explanation:
The exact question is as follows :
Given - John is putting a fence around his garden that is shaped like a half circle and a rectangle.
A rectangle has a length of 14 feet and width of 7 feet. A semicircle with diameter of 7 feet is on top of the rectangle.
To find - How much fencing will John need? Use 22 over 7 for Pi.
A. 32 ft
B. 39 ft
C. 46 ft
D. 57 ft
Solution -
The figure is as follows :
The perimeter of the garden is equal to sum three sides of the rectangle plus the circumference of a semicircle
Now,
Given that,
Length of Rectangle = 14 feet
Breadth of Rectangle = 7 feet
Now,
Sum of three sides of Rectangle = 14 + 14 + 7
= 35
Now,
Circumference of Semicircle = (1/2)[tex]\pi[/tex] D where D is the diameter
So,
Circumference of Semicircle = (1/2)(22/7)(7)
= 11
⇒Circumference of Semicircle = 11
So,
The perimeter of the garden = 35 + 11
= 46 ft
⇒The perimeter of the garden = 46 ft
NEED HELP PLEASE ASAP! please don’t waste my time i need this grade.
Answers
1 standard deviation is 13
To find out the range of scores that fit 1 standard deviation from the mean, you would have to take away and add 13 from the mean (133) this gives a range of 120-146 which isn’t right because you’re looking for 107-159.
Next, look for 2 standard deviations from the mean which is just 13 x 2=26.
To find the range of scores that are 2 standard deviations from the mean take away and add 26 to the mean (133) which gives a range of 107-159. This is the correct answer.
2 standard deviations represents 95% of the data. That’s why I think the answer is 95%.
Q23. Look at the image
Answers
Answer:
B. First term = 5, Common difference = -3
Step-by-step explanation:
The first term is f(1) = 8 - 3(1) = 8 - 3 = 5.
The common difference is the coefficient of n. Another way to see this is to compute the second term, f(2) = 8 - 3(2) = 8 - 6 = 2. The second term is 3 less than the first. The common difference is -3.
The sequence goes 5, 2, -1, -4, ...
Factor the Expression Completely: -14a+56b+84c-28a+42
Answers
Answer:
14(−3a+4b+6c+3) is the answer
What is the area 15mm 10mm
Answers
Answer:
15mm x 10mm = 150mm
Step-by-step explanation:
find the missing side length of the right triangle below. Round your answer to the nearest tenth.
Answers
Answer:
24.4
Step-by-step explanation:
14² + 20² = c²
196 + 400 = 596
√596 = 24.4
If you conducted a survey on the distribution of M & M colors in 20 packages chosen at random, what type of graph would be best for displaying your results and why?
Answers
Answer:
A bar graph is the best graph to use
i think im gonna buy human flesh off the darkweb today
Answers
Answer:
i- alrighty then
Step-by-step explanation:
The solution to the system is (3,4):
3x – 2y = 1
4y = 7+3x
Pizz help mee
Answers
Answer:
(3,4) is the solution of both equations.
Step-by-step explanation:
The given equations are :
3x – 2y = 1 ....(1)
4y = 7+3x
4y-3x = 7 .....(2)
Put x = 3 and y = 4 in equation (1).
3(3) – 2(4) = 9-8
= 1
So, (3,4) is the solution of the equation (1).
Again put x = 3 and y = 4 in equation (2).
4(4)-3(3) = 16-9
= 7
Hence, (3,4) is the solution of both equations.
Find a:c and a:b:c of the following
b) a:b = 4:5,b:C = 3:5
Answers
Answer:
look at the picture i sent
**Will mark brainliest**
Find the Volume of the Cylinder. Use 3.14 for pi. Round your answer to the nearest whole number.
Answers
Answer:
V≈67958.90
Step-by-step explanation:
Answer:
Step-by-step explanation:
[tex]V=\pi r^{2}h\\V=\pi *26^{2} *32[/tex]
1. Jim's vegetable garden looks like this
quadrilateral.
T
2. Which kind of triangle has
no congruent sides?
A equilateral
B horizontal
c isosceles
D scalene
What type of quadrilateral is it?
A trapezoid
B square
c rhombus
D rectangle
Answers
Which of the following is a geometric series?
a 6 + 13 + 20 + 27
b 7 + 21 + 35 + 45
c 14 + 24 + 28 + 35
d 2 + 14 + 98 + 686
Answers
Answer:
Answer is D
Step-by-step explanation:
Got 100%
Answer:
D: 2+14+98+686
Step-by-step explanation:
Correct on edge quiz.
CAN SOMEONE DO THIS FOR ME I WOULD REALLY APPRECIATE IT
Answers
Answer:
ugh
Step-by-step explanation:
The circus admits children for $2 each and adults for $5 each. How many of each ticket were sold if 160 total tickets were sold for $476?
Answers
So you first make an equation where
c represents numbers of children tickets and ‘a’ represents adult tickets
a+c= 160
2a+ 5c=476
Multiply first equation by -2 to cancel out the a after addition
-2a-2c =-320
When you add the above equation with 2a +5c=476 you get 3c=156 which means that c=52 so the number of children tickets sold = 52
Now you substitute this answer to any of the equations and work out the value of a
a+52=160
a= 108
Aimee lives 8/9 mile of the park. She has walked 3/5 of the way to the park. How far Aimee walked? is it multiplying or adding
Answers
Answer:
Yesterday,Annie walked 9/10 mile to her friend's house.Together,they walked 1/3 mile to the library.Which is the best estimate for how far Annie walked yesterday? a)about 1/2 mile b)about 1 mile c)about 1 1/2 miles d)about 2 miles ===== 0.9 + 0.333 = 1.233 miles
Step-by-step explanation:
what is 35 x 345? Solve and I will give you money
Answers
Answer:
12075
Step-by-step explanation:
35 x 345 = 12075
Answer:
12075
Step-by-step explanation:
Which kind of chart/graph should be used
to represent a turtle's movement over the
course of an hour?
A. bar graph
B. pie chart
C. line graph
D. pictograph
Answers
Simplify.
16 3/8 - 6 7/8
Answers
Find the area and circumference of the circle.
B
4. Area =
5. Circumference
Answers
Answer:
Area: 200.96
Circumference: 50.24
Step-by-step explanation:
We know r (radius)=8
A=πr^2
A=π8^2
A=64π or 200.96
C=2πr
C=2π(8)
C=16π or 50.24
Please help ASAP!! It’s due tomorrow please!!
Answers
Answer:
250 lifeguards
(P.S, i dunno if i got it right or not should be correct tho)
Step-by-step explanation:
15 km divide 0.06 for every life guard. therefore, there are 250 lifeguards
There will be 9 lifeguards
.6 x 15 = 9
0.06 x 15 = 0.9
0.9 as a whole number = 9
Therefore There will be 9 lifeguards
An object moves in simple harmonic motion with amplitude 15m and period 4 minutes. At time t=0 minutes, its displacement from rest is , and initially it moves in a negative direction. Give the equation modeling the displacement d as a function of time t
Answers
Step by step explanation
You randomly choose one of the tiles and flip the coin. Find the probability of the compound event. The probability of choosing a blue tile and tails
Answers
Answer:
2/7
Step-by-step explanation:
The probability of getting tails is 1/2 or 50%;
There are 7 tiles, 4 of them are blue; getting a blue tile has a 4/7 probability.
Multiply the fractions:
1/2*4/7= 4/14 or 2/7
Stephen was thinking of a number. Stephen adds 2, then divides by 7 to get an answer of 11. What was the original number?
Answers
Answer:
75
Step-by-step explanation:
Let x = number thought of
(x + 2) / 7 = 11
multiply both sides of the equation by 7
11 x 7 = x+ 2
collect like terms
77 - 2 = x
x = 75
Which of the following is equivalent to 3^4?
1. 12
2. 81
3. 7
4. 64
Answers
Answer:
81, Option 2.
Step-by-step explanation:
[tex]3^{4}[/tex] means 3 x 3 x 3 x 3, that is 3 multiplied 4 times with itself.
Here's how to do it:-
3 x 3 = 9
9 x 3 = 27
27 x 3 = 81
So, [tex]3^{4}[/tex] would be 81, Option 2.
Which number line represents the inequality? 34>x
Answers
Answer:
op 2
Step-by-step explanation:
the Answer is b
hope this helps
i need help with this problem
Answers
Answer:
evaluate parenthesis first:
67/100(consider 67% out of 100) x 119 = 79.73
Answer:
79.73
Step-by-step explanation:
First, it would be finding 67% of 119
Then we find 10% = 11.9 and 1% = 1.19
The 11.9 multiplied by 6 to equal 71.4 and 1.19 multiplied by 7 to equal 8.33
Then add 71.4 and 8.33 to get the answer of 79.73.
What is 0.75 = 0.4 + 100
Answers
Answer:
0.75≠100.4
Step-by-step explanation:
Help me please ! Please
Answers
Answer:
maybe 36
Step-by-step explanation:
3 shirts 4 pants 3 shoes it maybe 3*4*3
find simple interest
Rs.6500 for 2years 3months at
6percent per annum
Answers
find simple interest
Rs.6500 for 2years 3months at
6percent per annum
Solution :To find the simple interest , We'd use the following formula:-
P×R×T/100P= 6500R=62.25 (2 years+ 3 month).°.
S.I = 65×13.5
S.I = Rs.877.50
Hope it helps
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