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
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
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.
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.
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
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
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.
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
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
Factor the Expression Completely: -14a+56b+84c-28a+42
Answers
Answer:
14(−3a+4b+6c+3) is the answer
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:
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
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:
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
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%.
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
Which number line represents the inequality? 34>x
Answers
Answer:
op 2
Step-by-step explanation:
the Answer is b
hope this helps
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
Simplify.
16 3/8 - 6 7/8
Answers
i think im gonna buy human flesh off the darkweb today
Answers
Answer:
i- alrighty then
Step-by-step explanation:
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, ...
What is 0.75 = 0.4 + 100
Answers
Answer:
0.75≠100.4
Step-by-step explanation:
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
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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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
Help me please ! Please
Answers
Answer:
maybe 36
Step-by-step explanation:
3 shirts 4 pants 3 shoes it maybe 3*4*3
What is the area 15mm 10mm
Answers
Answer:
15mm x 10mm = 150mm
Step-by-step explanation:
CAN SOMEONE DO THIS FOR ME I WOULD REALLY APPRECIATE IT
Answers
Answer:
ugh
Step-by-step explanation:
**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]
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
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.