Questions on Word Problems: Geometry answered by real tutors!

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Question 25371: I need your help on an equation word problem. It is, two angles of a quadrilateral each measure 105 degrees. A third angle measures 5 degrees more than twice the fourth angle. What is,x, the measure of the fourth angle of the quadrilateral? This is what i tried, 2x+2(x+5)=105. x=27.5
If someone can help me as soon as posible please before i go crazy!!!!
Thank you.

Click here to see answer by stanbon(75887) About Me 

Question 25368: a carpenter has 2 peices of wallpaper border to use in a house. one piece is 5 feet longer than the other. together the two pieces measure 105 feet. what is x, the length of the shorter piece of border?
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Question 25359: What polygon has 35 vertices?
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Question 25624: the length of a rectangle is 16 feet more than twice its length. if the perimeter is 104 feet, find the length of the rectangle
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Question 25536: The length of one of the equal legs of an isosceles triangle is 8 cm less than 4 times the length of the base. If the perimeter is 29 cm, find the length of one of the equal legs.
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Question 25679: How do you find the unknown lenght of a leg given the lenghts of the hypotenuse and the other leg?
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Question 25727: What are all of the polygons? Including advanced ones.
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Question 25853: A rancher with 800 feet of fencing wants to enclose a rectangular area and then divide it into three pens with fencing parallel to one side of the rectangle. What is the largest possible total area of the three pens?
i'm not allowed to use trial and error, only algebra. I've tried like 6 different equations where x=y or x=3y, i just can't figure it out. Please help!

Click here to see answer by venugopalramana(3286) About Me 

Question 25907: can you explain the six laws of exponents with explanations of each one?
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Question 25942: i need are of an imperfect square measurements 349, 360, 383 , 393
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Question 26021: The perimeter of a rectangle is 40cm. If the width is 8cm, what isthe length?

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Question 26017: If perimeter of rectangle is 40.And the width is 8, what is the lenth?
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Question 26069: Examine the following statements about rectangles.
A. The opposite sides are parallel.
B. The diagonals are perpendicular.
C. The opposite sides are congruent.
D. The diagonals are congruent.
a. Which of the above statements is NOT true for all rectangles?
b. Explain your answer by showing a sketch of a rectangle where the statement is true and another sketch where it is false.
I don't know which one is false..

Click here to see answer by stanbon(75887) About Me 

Question 26153: PLease help, my son has these 2 problems and it has been forever since I have done them. If I knew how to set them up I could solve them...Thank you in advance.

1.A restaurant gives 3-course meals. First course, soup,salad,cottage cheese,or coleslaw.second course,beef,pork,chicken,pasta.Third, sherbert,pudding,or ice cream.How many different meals could you have if you choose one from each course?
2.A class has 28 students, 23 like basketball,15 like baseball, 12 like both. How many don't like either?

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Question 26174: verify the identity csc(x)-cot(x)= (2(1-cos(x))(1+cos(x)))/(2sin(x)+sin(2x)) by beginning with the known identity that tan(x/2)=tan(x/2).
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Question 26183: The sun rises at 5:00 AM and is directly overhead at 11:00 AM. At what time in the morning (to the nearest minute) does a 42m tall redwood tree cast a 50m shadow? A person standing next to the tree casts a 1.7m shadow at the same time that the tree is casting the 50m shadow. Find the height of the person.
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Question 26143: The cost of a pizza varies directly as the square of its radius. If a pizza with a 7 in radius costs $6.00, how much should a pizza with a 9-in radius cost?
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Question 25445: The length of a rectangular playing field is 5 ft less than twice its width.
If the perimeter of the playing field is 230 ft, find the length and width of the field.

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Question 25183: hi
i have gotten the answer to the question, but don't know the reasoning behind it. our teachers manual dosen't have the equation written out.
the question is as follows.
Find an angel such that 3 times the complement of the angel is 10 degrees less than the supplement of the angel.
please help

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Question 26520: the perimeter of a triangle is 32 centimeters. The first side is 3cm longer than the second side, and the third side is 6 cm shorter than three times the second side.
Click here to see answer by Paul(988) About Me 

Question 26512: A woman wants to put a ladder against the wall of her house and climb up to fix the gutter. The gutter is 14 ft above the ground. Unfortunatly, there is an 8 ft high retaining wall standing 3 ft away from her house. The ladder can't be placed between the retaining wall and the house, so it must be placed on the outside of the retaining wall. The ladder will go over the retaining wall (it can touch it) and then up to the roof. How long a ladder does she need?
Click here to see answer by Paul(988) About Me 

Question 26523: When maggie made her monthly trip to the grocery store, she redeemed coupons worth 30 cents, 50 cents, and 55 cents. She used three times as many 30 cent coupons as 55 cent coupons, and four more 50 cent coupons than 55 cent coupons. Maggies's Grocery store doubles the value of all coupons worth up to (but not including) 55 cents. If the total redemption value of Maggie's coupons was $17.40, how many of each coupon did she redeem?
Click here to see answer by Paul(988) About Me 

Question 26540: I am having trouble with this problem. I have tried to solve it and I must be missing something in the equation. I have 2X+X-20+25=180. I know this is wrong .
A stairway railing has a design that contains triangles. In one of the triangles one angle measure 20degrees less than twice the smallest angle. The third angle measures 25degrees greater than twice the smallest angle. Determine the measures of the 3 angles.

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Question 26546: A Farm is divided into 3 regions. The area of one region is twice as large as the area of the smallest region, and the area of the third region is 4 acres less than 3 times the area of the smallest region. Total acreage is 512 acres. Find the area of each of the 3 regions.
Click here to see answer by Paul(988) About Me 

Question 26390: What is the the length and width of a rectangle if the length is 4 centimeters longer than its width?
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Question 26769: If an olympic swiiming pool is twice as long as it is wide and the perimiter is 150 meters, then what are the length and the width? How do you do this problem without the l or w?
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Question 26910: The width of a rectangle is 7 inches shorter than its length. The are is 78 square inches. Find the dimensions of the rectangle.
width-23 length-30

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Question 26953: Can someone help?
The length of the longest leg of a triangle is twice the length of the shortest leg. The remaining leg is 2 inches longer than the shortest leg. If the perimeter of the triangle is 26 inches, how long is each leg?

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Question 27142: given a triangle with perimeter of 60cm and the second side is 4 more than the first and the third side is half the second. Find the length of each of the sides
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Question 27306: A right triangle is a triangle with one angle measuring 90°. In a right triangle, the sides are related by Pythagorean Theorem, c^2=a^2+b^2 , where c is the hypotenuse (the side opposite the 90° angle). Find the hypotenuse when the other 2 sides’ measurements are 6 feet and 8 feet.

I need some help!

Click here to see answer by rodriguezh2(15) About Me 

Question 27478: find the equation of the straight line joining A=(4,-2) c=(3,0)show working.

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Question 27484: the first side of a triangle is y yards long. the second ia 2 feet shorter. the third side is 3 times as long as the second side. what is the perimeter of the triangle in feet?
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Question 27512: A rectangular plot of ground measuring 12 meters by 20 meters is surrounded by a sidewalk of uniform width. The area of the sidewalk is 68 square meters. Find the width of the walk.
Click here to see answer by Paul(988) About Me 

Question 27686: A banner in the shape of an isosceles triangle has a base that is 5 inches shorter than either of the equal sides. If the perimeter of the banner is 37 inches, then what is the length of the equal sides?

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Question 27687: A carpenter used 26 ft of molding in three pieces to trim a garage door. If the long piece was 5 ft longer than twice the length of each shorter piece, what is the length of the longest piece?

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Question 27870: Can someone please simplfy these 2 equations for me.
dy/dx = (cosx(3+cos2x)+(-2sin2x)(sinx))/(3+cos2x)^2
and
75/(x+12) + 9/x = 3.
Thank you.

Click here to see answer by venugopalramana(3286) About Me 

Question 27844: A machine produces chains that are 500 links in length. The chains are made of black and white links and are randomly put together by the machine. If a chain is going to contain 405 black links, can we be certain that the chain will contain 5 consecutive black links?
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Question 27845: show that x^2y+y^2z+z^2x>=3xyz for positive real numbers x,y, and z.
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Question 27846: If x, y, and z are reall numbers, use the Cauchy-Schwarz inequality to show that (x+y+z)^2/3<=x^2+y^2+z^2.
Click here to see answer by venugopalramana(3286) About Me 

Question 27847: Show that (3x+2y+z)^2<= 3(9x^2+4y^2+z^2) where x, y, and z are real numbers
Click here to see answer by venugopalramana(3286) About Me 

Question 28023: On the xy-coordinate plane, points A and B both lie on the circumference of a circle whose center is O, and the length of AB equals the circle's diameter. If the (x,y) coordinates of O are (2,1) and the (x,y) coordinates of B are (4,6), what are the (x,y) coordinates of A?
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Question 28072: the first side of a tringle is 8cm shorter than the second side,the third side is 4 times as long as the first side. the perimiter is 26cm. find the lenght of the sides.
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Question 28303: What are the measures of two complementary angles if the differences in the measures of two angles is 12

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