Questions on Geometry: Parallelograms answered by real tutors!

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Tutors Answer Your Questions about Parallelograms (FREE)


Question 107866: A parallelogram is a quadrilateral with two pairs of parallel sides. Show that ABCD is a parallelogram if the coordinates of the vertices are A(-2,3), B(2,7), C(8,5), and D(4,1).
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Question 108743: the shortest distance from the centre of a circle to a chord is 5 cm. find teh radius (2d.p.) of the circle if the chord is 3*2 times longer than the radius.
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Question 108746: please i need help with this problem: the shortest distance from the centre of a circle to a chord is 5 cm. find the radius (2d.p.) of the circle if the chord is 3*2 times longer than the radius.
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Question 109469: ABCD is a parllelogram,AE perpendicular to DC and CF perpendicular to AD.If AB=16cm,AE=8cm and CF=10cm,find AD
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Question 110264: The diagonals of rectangle ABCD intersect at point E. If measure of angle BDC is 30 degrees and
AE =8(square root of 3), find the area of the rectangle.

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Question 110261: The area of a rhombus is 7.5 sq. in. Find the length of the two diagonals if one of them is one more than twice the other. Show all work to receive credit.
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Question 111038: I've been trying to figure this one out. The perimeter of the quadrilateral is 130 inches. Find the lengths of the sides.

x+2
x-5
x^3-3x
2x+1
What's the formula for this, please?

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Question 111038: I've been trying to figure this one out. The perimeter of the quadrilateral is 130 inches. Find the lengths of the sides.

x+2
x-5
x^3-3x
2x+1
What's the formula for this, please?

Click here to see answer by scott8148(6628) About Me 

Question 112891: the area of a trapezoid is 210 square inches. The height is 10 inches and base2 is 24 inches. What is the length of base1?
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Question 112915: Find the value of each variable that will allow you to prove that ABCD is a parallelogram. Then find the measure of each angle of the parallelogram. Angle B is (2x-3y) degrees: angle C is (x+y) degrees; angle D is (5x-y) degrees. Angle A is blank but A is opposite of angle C on the parallelogram and angle B is opposite angle D. Please help. Thanks.
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Question 113923: Hi. How would I use the distance, midpoint and slope formula to find where a point should go to make a parallelogram? Because on this homework it shows point A(7,12) B(15,4) C(9,2) D(3,5) The question is to move Point B so that it makes a parallelogram. How would I know where to move it? Thank You for your help!
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Question 114350: If the legnth of one side of a rectangle is 8 and the legnth of a diagonal is 10 , find the area of the rectangle.
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Question 115500: find the value of x and y in the parallelogram PQRS
the diagonals of the parallelogram are QS and RP,and they bisect at point T. QT=3x, RT=y+3, PT=2x, and ST=2y
I have done number 18, and I have been working on this one for probably half an hour. I just don't know how to get the answer from the information given.
Thank you!

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Question 117362: well, its not really from the book but i just hope that someone could help me anyway. it is off a study guid for school for a semester test. There is a Trapezoid and the measure of angle A= 90 degrees.the measure of angle C= 50 degrees. the measure of angle D= 90, and find the measure of angle B? that is the best way that i can explain it because there is a picture that goes with it and i cant get it on the computer.
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Question 117368:
Find the measure of one of the interior angles of a regular polygon with twelve sides.
Thanks!

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Question 117370: seven of the angles of an octagon have measures of 90 degrees, 105 degrees, 125 degrees, 130 degrees, 150 degrees, 155 degrees, and 165 degrees. how do you find the measure of the 8th angle?
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Question 118474: these are the corrdinates of three points (0,10),(30,10),(20,-30)
find a fourth point so that the four points form the vertices of a parallelogram.
how would you do this? how many different points could be the fourth vertex?what are the coordinates of these points? write your answers below. show the different possible parallelograms in different colors on the grid.
Luke and his mom..

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Question 120861: how do you get the base to this question
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Question 121492: solve for x:
3x+7=5x-3

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Question 121492: solve for x:
3x+7=5x-3

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Question 121766: Use the concept of slope to determine if the given figure is a parallelogram or a rectangle.

I do not understand how to determine this. I have a picture but I cannot paste it here. Can you help me with understanding the concept?

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Question 122273: Points X (-1,1),Y (3,5), and Z (17,1), are the coordinates of three vertices of a parallelogram. What are the possible coordinates of W, the fourth vertex?
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Question 122273: Points X (-1,1),Y (3,5), and Z (17,1), are the coordinates of three vertices of a parallelogram. What are the possible coordinates of W, the fourth vertex?
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Question 124895:
Find a trinomial that represents the area of a parrellelogram whose base is 3x + 2 meters and whose height is 2x + 3 meters.

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Question 125591: THE AREA OF A PARALLELOGRAM IS 3.36 SQ FEET. THE BASE IS 2.8 FEET. iF THE MEASURES OFTHE BAS AND HEIGHT ARE EACH DOUBLE FIND THE AREA OF THE RESULTING PARELLELOGRAM. IS THE ANSWER 12.32????
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Question 125654: In a regular hexagon, the angle measures are 5x-103, 2x+60, 7x-31, 6x-6 and 9x-100. What is the measure of x? I am confused as to how you find this since only 5 of the interior angle measures are given!
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Question 125598: find the area of a parallelogram when the base is 24inch and a corner state 60deg.
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Question 127047: The coordinates of a parallelogram are (4,4),(5,7),(10,5) and (x,y) and x is greater than 10. What is the value of x+y?
Please help me solve the problem. Do I graph the coordinates?

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Question 127402: Parallelogram ABCD is divided by a diagonal into two congruent triangles. Angle DCA and BAC have equal measures of 60 degrees and are complementary. Find the measure of :
Angle DCA, DAC, CAB, ABC, BCA, AND BCD

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Question 127876: We just started a lesson about rectangles and parallelograms. The question I need your help with is how do I draw and label a figure with A = 64 cm squared and P = 64 cm? Since the question uses the term "figure", I guess it could be ANY type of figure, but since the lesson is about rectangles and parallelograms, I guess it is one of those. I know that the parallelogram A = b x h and that the P = (2 x b) + (2 x h). I also know that if the "figure" I am looking for is a parallelogram, then b x h = 64 cm squared and that (2 x b) + (2 x h) = 64 cm. I tried to solve for one variable in one equation and substitute that in the other equation but I keep getting stuck with the 64 cm in one equation and 64 cm squared in the other equation. Can you please help me solve this? My teacher gave our class a hint that we should consider fractions in our solution, but I don't know how to use this hint! Thanks.
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Question 128963: what is the area of parallegogram ABCD with vertices A(-4,-6),B(6,-6),C(-1,5),D(9,5)?
dont understand how to get the answer

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Question 130420: How do I solve these problems?
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Question 130459: What is the perimeter of a regular heptagon with sides 5.4 centimeters long?
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Question 130846: Show the length, width, and perimeter of a rectangle with an area of 24 square meters.
area of rectangle: 24 m2 (square meters0
length: 2m
what is the width:
what is the perimeter:

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Question 131333: The area of the trapezoid is 44.25 square feet find x
if the top base is 6.7 inches and the height is 5.9 what is x

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Question 131992: The measure of one angle of a parallelogram is 40 more than 3 times another. Find the measure of each angle.
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Question 133097: The area of a rectangle is 12a+6. Find two possible perimeters for the rectangle.
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Question 133398: The diagnols of the rhombus shown below have the lengths of 14cm and 12cm. What is the length of a side of the rhombus?
A. 3.6
B. 6.5
C. 9.2
D. 18.4

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Question 133999: I am a parallelogram with an area of 80cm2 and a height of 6. What is the length of my base?
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Question 134119: the quadrilateral with vertices P(6,3), Q(2,-2), R(1,7) and S(x,y) is a parallelogram. Find (x,y) algebraically.
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Question 134786: What is the measure, in degrees, of angle ABC if angle CBF equals 70
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Question 135553: Theres a parallelogram slanted to the right. (SRQP) M is in between SR and connects to the bottom right angle, angle Q, making MQ. T is in between PQ and connects up to the top left angle, angle S. So the top of the shape is SMR, and the bottom is PTQ. Given: PQRS is a parallelagram and PT is congruent to RM. Prove TQMS is a parallelagram. by the way, the book is called course 2, integrated mathematics, 3rd edition. chapter 7, page 268, this one os problem 11 but if anyone knows problems 11-13 and 15 you would be awesomeeee=]
thankss.
PLEASE HELPPPP!!!

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Question 135980: I am trying to establish the correct equation for
The points (1,5), (4,5), and (1,0) represent three corners of a rectangle; find the coordinates of the fourth point.
For obvious reasons I concluded that the fourth point is (4,0), but I am unsure how to present this.
m = y4 - y3 – y2 – y1/x4 - x3 – x2 – x1
m = 5 – 5 – 0 – 5/1 – 4 – 1 – 4
Thanks!

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Question 137140: To me, this looks like a question not to hard to solve, but yet I am stuck on it. It asks, in Parallelogram ABCD, M They don't really give an exact example, I am slow with math. Please help me THANK You=)
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Question 137375: I am having difficulty with this. The book doesn't give an exact example on how to solve it, I was wondering if I could get help with it. I did try to solve it, failed.
It asks: The perimeter of []JKLM is 52cm, and Jk is 2cm longer than JM.
Find JK and find JM
Please help, Thank You=)

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