Questions on Word Problems: Geometry answered by real tutors!

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Question 150858: In triangle DEF, m
Click here to see answer by mangopeeler07(462)

Question 150862: If four angles of a hexagon measures 100, 90, 105, and 75, and if the other two angles are congruent. Find the measure of each.
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Question 150863: If the sum of the measures of two exterior angles of a triangle is 230, find the measures of the third exterior angle and its adjacent interior angle.
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Question 150864: The sum of the measures of the interior angles of a polygon is between 2100 and 2400. how many sides does a polygon have?
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Question 150867: The measures of the angles of four-sided figure can be represented by x,x,5x, and 4x-3, find the measure of each angle.
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Question 150873: to carpet a room 12ft by 11ft,how many square yards do I need to buy?
At $27.00 per square yard, what would it cost?
I know to change feet to yard, I get 4 yds x 3 and 2/3yds = 12 2/3 yds, But they say it should be 14 and 2/3 yds, how did they get this.
I also can't figure out how they are taking 14 and 2/3 x $27.00 to get a cost of$396.00
I am really confused and would be grateful for any help on this.

Thank-You
Click here to see answer by mangopeeler07(462)

Question 150875: Arnel and Dollie are determining whether 5-12-13 is a Pythagorean triple. Who is correct? Explain your reasoning.
arnel's arrangement:
13+5=12
Dollie's arrangement:
5+12=13
Click here to see answer by stanbon(75887)

Question 150874: A patio in the shape of a half circle and is 4 inches thick is being built. The radius is 12 feet.
To the nearest cubic yard, how much concrete will be needed?
How did they come up with 3 cubic yds of concrete?
Could you please explain this for me, I am so lost. I am so grateful for any help.
Thank-You
Click here to see answer by stanbon(75887)

Question 150865: Find the perimeter of a regular hexagon with side length 4.5cm
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Question 150861: A regular polygon is equilateral and equiangular. The sum of the measures of the interior angles of a convex polygon with n sides is(n-2)180. The sum of the measures of the exterior angles of any convex polygon, one angle at each vertex, is 360.
Click here to see answer by stanbon(75887)

Question 150859: In triangle RST, an exterior angle meaure at T has a measure of 75. If measure of angle R= 2 times the measure of angle S, find the measure of each interior angle of triangle RST.
Click here to see answer by vleith(2983)

Question 150856: If four angles of a pentagon have measures 100,96,87 and 97, find the measure of the fifth angle.
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Question 150856: If four angles of a pentagon have measures 100,96,87 and 97, find the measure of the fifth angle.
Click here to see answer by stanbon(75887)

Question 150854: find the number of sides of a regular polygon in which each exterior angles measures 168.
Click here to see answer by vleith(2983)

Question 150882: Hello, can you please help me solve this problems:
1.) The sum of the measures of two angles is 180 degrees. Three times the measure of one angle is 24 less than the measure of the other angle. What is the measure of each angle?
2.) The length of a rectangle is 17cm larger than its width. When its width is decreased by 5 cm and its length is increased by 7cm the area of the new rectangle is 22cm� biggerthan the original rectangle. Find the dimension of the original rectangle.
Click here to see answer by stanbon(75887)

Question 150853: find the sum of the interior angle measures of a decagon. if the polygon is regular, give the measure of each interior angle.
Click here to see answer by stanbon(75887)

Question 150589: the altitude of an isosceles trapezoid is 20cm. if the lower base is 10cm longer than the upper base the area of the trapezoid is 220sq. cm, find the lengths of the bases.
Click here to see answer by jojo14344(1513)

Question 151036: The area of a rectangle is 243m squared. The height is nine less than four times the base. What is the perimeter?
Click here to see answer by checkley77(12844)

Question 151038: If AD=(x+6)cm, AB=5cm and the perimeter of ABCD is 26cm, find the area of rectangle ABCD.
Click here to see answer by checkley77(12844)

Question 151037: If the height of a rectangle is 1 1/4m
and the base is 6 1/2m, what is the area of the rectangle?
Click here to see answer by jojo14344(1513)

Question 151035: If the height of a rectangle is 1&1/4m
and the base is 6 1/2m, what is the area of the rectangle?
Click here to see answer by checkley77(12844)

Question 151035: If the height of a rectangle is 1&1/4m
and the base is 6 1/2m, what is the area of the rectangle?
Click here to see answer by mangopeeler07(462)

Question 151034: What is the perimeter of a parallelogram with base 9cm, side length 27cm, and height 20cm?
Click here to see answer by checkley77(12844)

Question 150593: the altitude of an isosceles trapezoid is 20cm. If the lower base is 10cm longer than the upper base and the area of the trapezoid is 220sq. cm, find the lengths of the bases.
Click here to see answer by jojo14344(1513)

Question 151033: The perimeter of a rectangle is 40m. The base is four less than five times the height. what is the height?
Click here to see answer by checkley77(12844)

Question 151032: If the height of a rectangle is 9 3/4m and the base is 5 3/5m, what is the perimeter of the rectangle?

Click here to see answer by jojo14344(1513)

Question 151040: If AB=(4n+1)cm, AD=(n-5)cm, and the area of rectangle ABCD is 25cm squared, find AB and AD.
Click here to see answer by ptaylor(2198)

Question 151031: If the base of a rectangle is 24.3cm and the area is 580.77cm squared, what is the height of the rectangle?
Click here to see answer by nerdybill(7384)

Question 151018: A RECTANGLE IS 4 TIMES AS LONG AS IT IS WIDE A SECOND RECTANGLE IS 5 CENTIMETERS LONGER AND 2 CENTIMETERS WIDER THAN THE FIRST. THE AREA OF THE SECOND RECTANGLE IS 270 SQUARE CENTIMETERS GREATER THAN THE FIRST. WHAT ARE THE DIMENSIONS OF THE ORIGINAL RECTANGLE
Click here to see answer by jojo14344(1513)

Question 151165: why a right triangle cannot exist?

Click here to see answer by nabla(475)

Question 151167: write true or false after the statement.
1. All radii of two or more circles are congruent.
2. Radii of the same circle are congruent.
3. The endpoint of the radius lies in the interior of the circle.
4. Diameters of the same circle are congruent.
5. The endpoints of any chord of any circle lies on the circle.
6. A diameter is a chord.
7. A chord is a diameter.
8. Twice the length of the diameter is equal to the length of the radius.
9. There exists a point x whose distance from the center of a circle is greater
than the radius, so point x lies on the interior of the circle.
10. There exists a point y whose distance from the center of a circle is less
than the radius, so point y lies on the interior of the circle.
Click here to see answer by Edwin McCravy(20054)

Question 151261: find the volume of a box that is 6 ft deep, 12 ft long, and 8 ft tall?
Click here to see answer by HyperBrain(694)

Question 151399: Sandy has $3.75 in change. She has three more quarters than dimes but twice as many nickels as quarters. Express the given information as an algebraic expression and simplify.
Click here to see answer by ankor@dixie-net.com(22740)

Question 151402: Simplify: 8[a � b(3- 4a)] � 6a[2-a(3-b)]
Thank you so much for your help.

Click here to see answer by jim_thompson5910(35256)

Question 151402: Simplify: 8[a � b(3- 4a)] � 6a[2-a(3-b)]
Thank you so much for your help.

Click here to see answer by cepedamarty(1)

Question 151410: can someone help me with this word problem? i have tried everything, but i just cant seem to figure it out...
three circles have to be cut into a piece of metal. the specifications state that each of the diameters must be within 0.001 centimeter of the given measurements. let D represent the given measurement and let x respresent the actual diameter of the circle. write an absolute value inequality that descrides the acceptible diameters of the circle. if the circles are to be 13 centimeters, 9 centimeters, nad 6 centimeters, describe the acceptable diameters of each circle.

Click here to see answer by checkley77(12844)

Question 151422: Hi,
I need help I solved the following problem just want to make sure it is correct:
Simplify: 2x [(4x2 + 6x - 2) + (4x2 - 8x)/2x]
Simplifying
2x[(4x2 + 6x + -2) + (4x2 + -8x)]/2x
If it is incorrect can you tell me where.
Thank you for taken the time to help me.
Reorder the terms:
2x[(-2 + 6x + 4x2) + (4x2 + -8x)]/2x
Remove parenthesis around (-2 + 6x + 4x2)
2x[-2 + 6x + 4x2 + (4x2 + -8x)]/2x
Reorder the terms:
2x[-2 + 6x + 4x2 + (-8x + 4x2)]
Remove parenthesis around (-8x + 4x2)
2x[-2 + 6x + 4x2 + -8x + 4x2 ] /2x

Click here to see answer by stanbon(75887)

Question 151423: Hi,
I need your help can you help me with the following:
Simplify: (6x2 - 3y + 2z2) + (7y + 8x2) + (3y2 - 4x)
Thank you for taking the time to help me.

Click here to see answer by stanbon(75887)

Question 151445: a developer wants to enclose a rectangular lot that borders a city street. if the developer has 248ft of fence and DOES NOT fence the side bordering the street, what is the largest area that can be enclosed?
Click here to see answer by checkley77(12844)

Question 151589: The length of the longest side of a triangle is twice the length of the shortest side. The length of the middle-sized side is five more than the length of the shortest side. Find the lengths of the sides of the triangle if the perimeter is 33 feet.
Click here to see answer by checkley77(12844)

Question 151636: Hi,
I really need some help with the following:
If P = 3y + 7xy - 2x and Q = 9 - 2y, find the value of 3P - 4Q.
Click here to see answer by jim_thompson5910(35256)

Question 151635: Hi,
I need help to simplify the following expressions:
(6x2y2 + 9xy2) / 3xy
Click here to see answer by jim_thompson5910(35256)

Question 151634: Hi,
I need help to simplify the following expressions:
(6x2y2 + 9xy2) / 3xy
Click here to see answer by jim_thompson5910(35256)

Question 151630: How can you write four fives to represent 56?
Click here to see answer by solver91311(24713)

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