Questions on Word Problems: Geometry answered by real tutors!

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Question 10949: A steel rod. 31 cm. long is to be cut into 3 parts, two of which parts are to be of equal lengths. The lengths of each of the 2 equal parts is 5 cm. more than the third part. Find their lengths.
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Question 10949: A steel rod. 31 cm. long is to be cut into 3 parts, two of which parts are to be of equal lengths. The lengths of each of the 2 equal parts is 5 cm. more than the third part. Find their lengths.
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Question 11022: What is the interior degrees of a 20-gon?
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Question 11373: Suppose that the volume of a sphere is numerically equal to twice the surface area of the sphere. Find the length of a radius of the sphere.
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Question 11404: Find the perimeter and area of a rectangle if its length is 8x-2, and its width is 4x.
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Question 11404: Find the perimeter and area of a rectangle if its length is 8x-2, and its width is 4x.
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Question 11402: Find the area of a trapezoid if its height is 3 cm. and the lengths of its bases are 5 cm. and 7cm. The formula of finding the area A of a trapezoid is
A=1/2h(b1+b2)

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Question 11403: Find the perimeter of a pentagon having the sides of x+4,x+2,4x+1,2x-3,x+1.
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Question 12044: I'm trying to help my sister with her pre algebra and I'm having trouble myself remembering! How do you find the perimeter of a rectangle with only the area? I know how to do it the other way around [and apparently so does everyone else on the internet, where I've been searching] but not how her homework asks her to. thanks for any help!
ps: the area is 400 square feet

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Question 12075: The measure of the smallest angle in a triangle is 50 degrees less than the measure of the largest angle. The measure of the remaining angle is 10 degrees mor than the measure of the smallest angle. What is the measure of each angle?
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Question 12227: Need help coming up with an equation for this word sentence. Thanks in advance.
The sizes of three numbers are in the ratio of 9 : 5 : 2 and their sum is 54. What are the three numbers?

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Question 12230: Dear Sir
I want calculate length of the plastic film winded on 76.5mm- ID (Inner Diameter)and 104.5mm- OD (Outer diameter)of cylinder?
Thickness of plastic film is 20micron
Diameter of the roll after winding film is 600mm

If you have formula to calculate then can you please tell me.
Thank you
Best Regards

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Question 12457: it is possible for two lines to intersect in such a way that three of the angles formed have measures of 20, 70, 20. true or false
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Question 12498: Take any number. Add 10, multiply by 2, add 100, divide by 2 and subtract the original number. The answer will be the number of minutes in a hour. Why?
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Question 12577: The measures of two complementary angles are 12q-9 and 8q+14. Find the measures of the angles.
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Question 12578: The measures of two complementary angles are 12q-9 and 8q+14. Find the measures of the angles.
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Question 12578: The measures of two complementary angles are 12q-9 and 8q+14. Find the measures of the angles.
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Question 12604: I have had very little geometry and don't even know where to begin with this problem.
If one-half of the complement of an angle plus three-fourths of the supplement of the angle equals 110 degrees, find the measure of the angle.
I appreciate the help tons!!!
capesch

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Question 12605: Please help me with the following word problem:
In triangle ABC, andle B is 8 degrees less than one-half of angle A and angle C is 28 degrees larger than angle A. Find the measures of the three angles of the triangle.
I have to admit that I have no idea of where to start here. Please walk me through step-by-step so that I can learn how to solve these on my own.
Thanks!!
Capesch

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Question 12685: The supplement of an angle is 20 degrees larger that the angle. Find the measure of the angle. Thanks for the help!
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Question 13129: A polygon with all sides the same length and all angles the same measure is called a ___________ polygon.
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Question 13128: A line segment (not a side) connecting two vertices of a polygon is called a ?
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Question 13131: I have a picture of a outdoor running track
The inside lane of the track will enclose an area that is the shape of a rectangle with a semicircle at each end. The length of the rectanjular part of the track is 2W. The outdoor running track is 400 meters around the inside lane.
Each lane measures 1.25 meters in width. Find the perimeter of the outer edgeof the inside Lane?

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Question 13185: the perimeter of a rectangle is 120ft. the length of the rectangle is twice than the width. find the length and the width of the rectangle.
120=2L + 2W
120-2(2W +2)+2W
120=4W+4+2W
120=4W+2W+4
116=W-- LOST

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Question 13231: In triangle ABC, the length of side BC is 2 inches and the length of side AC is 10 inches. What is one possible length of side AB, in inches?
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Question 13426: a backyard garden is shaped like a rectangle with a length that is 30ft longer than the width and a perimeter of 200ft. what is the w, l and area?
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Question 13454: The measure of an angle is 6 more than twice the measure of its complement. Find the measures of both angles. Thank you.
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Question 13732: The perimeter of a rectangle is 86cm. Twice the width exceeds the length by 2cms. Find the dimensions. I used this equation P=2l+2W, but I don't know how to combine the terms
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Question 13983: The supplement of an angle is equal to six times the complement of the angle. Find the size of the angle.

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Question 13982: Find the size of an angle which is equal to twice its complement
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Question 14264: 2 solutions are to be mixed to make 50 ml. of a solution that is 16% Bromine. One solution is 10% Bromine and the other solution is 40% Bromine. How much of each solution should be used?
Tried it but don't have the correct answer. Thanks for your help.

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Question 14514: Use the following information to solve questions 1-3. Right triangle ABC has one leg of length 3 in. and a hypotenuse of length 5 in. Find the length of the other leg

Question 2
Find the perimeter of the triangle

Question 3
Find the area of the triangle

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Question 14620: If a regular polygon has an ecterior angle of 18 degrees, how many sides would that polygon have?
and
If a regular polygon has an interior angle of 135 degrees, how many sides would that polygon have?

Please help me
Reanne

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Question 14790: Can you please help me, I have tried everyway I could and I keep coming up with six parts.
Suppose this is the early 1900’s and you’re in New York City’s Little Italy getting a Pizza Margherita, named in honor of a pizza-loving Italian princess. Chan you divide the circular pie into eight equal slices in only three straight cuts? All the pieces must be identical: each with an upper surface covered with sauce, lower baked crust, and a crusty edge. (Don’t worry, it will get messy!)

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Question 14789: Can you please help me with this question.
Suppose you need to measure exactly 1 cup of water. All that you have in your kitchen are two containers. The smaller container holds 3 cups and the larger holds 5 cups. How can you use these two containers to measure exactly 1 cup of water. (You cannot estimate fractions of a container.)

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Question 14771: please help me with this problem, Thanks!
A box without a top is to be constructed from a square metal sheet by cutting 3 square centimeters from each corner of the sheet and
bending up the sides. Find the size of the original square if the volume of
the constructed box is to be 867 cubic centimeters.
(Hint: the volume is given by V = L.W.H)
Thanks again!!

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Question 14915: Find the measures of two supplementry andles , angle N and angle M if teh measures of angle N is 5 less than 4 times the measure of angle M
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Question 15094: Find the dimensions of a rectangle whose perimeter is 578 cm if the ratio of length to width is 9 : 8.
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Question 15373: Consider an isosceles triangle ABC with lengths of AB=AC=1 and angle BAC =36 degrees. Find the length of BC. Hint: construct angle bisector of angle ABC>
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Question 15119: the supplement of an angle measures 25 degrees more than twice its complement. Find the measure of the angle.
My work: 180-x= 2(90-x)
180-x= 180-2x
180+x=180
x=1 BUT, x is suppposed to be equal to 25 inthe answer key.
Thank you.

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Question 15375: What are the dimensions of a cube if the volume is 1728 cubic in. and has a surface area of 888 square in.
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Question 15509: 1. Split 45 into four parts such that if you add two to the first, subtract two from the second, multiply the third by two and divide the fourth by two you get the same number.
2.5. Multiply 54321 by a 5-digit number gives a 10-digit number ending in 12345. That is to say:
54321 x * * * * * = * * * * * 12345
Replace each asterisk with the appropriate digit
please send me the answers

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Question 15630: how many centimeters are the same as 9 meters
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Question 15791: PLEASE HELP ME!!!! Here's the question:
An open box is formed from a square of cardboard by cutting a 3cm sqaure from each corner and folding up the edges to form sides. If the volume of the box is 60cm^3, find the dimensions of the box,
Thanks in advance

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Question 15821: a boat travels 80km upstream and then returns to its starting point. The entire trip takes 3.6h. if the speed of the current is 10km/h, determine the speed of the boat in still water.
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Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020