Questions on Word Problems: Geometry answered by real tutors!

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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(2825)

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 22cm² biggerthan the original rectangle. Find the dimension of the original rectangle.
Click here to see answer by stanbon(57246)

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(57246)

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(1512)

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(12569)

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(12569)

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(1512)

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(12569)

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(12569)

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(1512)

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(12569)

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(1512)

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(2048)

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(6950)

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(1512)

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(8882)

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(15638)

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(28504)

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(12569)

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(57246)

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(57246)

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(12569)

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(12569)

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(28504)

Question 151635: Hi,
I need help to simplify the following expressions:
(6x2y2 + 9xy2) / 3xy
Click here to see answer by jim_thompson5910(28504)

Question 151634: Hi,
I need help to simplify the following expressions:
(6x2y2 + 9xy2) / 3xy
Click here to see answer by jim_thompson5910(28504)

Question 151630: How can you write four fives to represent 56?
Click here to see answer by solver91311(16868)

Question 151683: Can anyone seem to help me with this problem? I have come to a complete blank on it.

Question 64
Address book
The perimeter of the cover of an address book is 14 inches, and the diagonal measures 5 inches. What are the length and width of the cover?
x^2 + x^2 = 5^2
x^4 = 25
x^4 - 25 = 14
I do not know what to do next. I followed the Pythagorean steps, but cannot figure out what has gone wrong.
Thanks.
Amanda

Click here to see answer by ankor@dixie-net.com(15638)

Question 151576: The measure of the supplement of an angle is 10 degrees more than four times the measure of the angle. Find the measures of both angles. Draw and label a picture representing this situation.
Click here to see answer by ankor@dixie-net.com(15638)

Question 151695: Hi I need to simplify the following could you please help me. thank you so much, I appreciate your assistance.

6. Simplify: 8 – {3x + 9y – (2x – y) + 8x + 5y}
Click here to see answer by jim_thompson5910(28504)

Question 151694: Hi,
I need help with the following, I need to simplify it:
8 – {3x + 9y – (2x – y) + 8x + 5y}
Click here to see answer by jim_thompson5910(28504)

Question 151693: Hi,
I need help. I want to thank your for your assistance. Here the problem
Simplfy: 9x2^ + xy - 3y^) - (6x^ - 4y^ + 8xy)
I got this I don't know if it is right or not:
Answer Simplified expression: -7xy + 3xAnswer Simplified expression: -7xy + 3x2 + 1y2 + 1y2
Click here to see answer by jim_thompson5910(28504)

Question 151713: I need help with the following:
Classify the given numbers as real and rational, real and irrational, or complex
a. (4)1/2 + 2
b. 6+0i
c. 30007.413
d. 3i
e. 2-(-9)½ i
f. (80)1/5
g. 1
h. (16)1/4
Thank you so much for your help.

Click here to see answer by vleith(2825)

Question 151709: A photo is 3 inches longer than it is wide. A 2 inch border is placed around the photo making the total area of the photo and border 108 square inches. What are the dimensions of the photo?
Click here to see answer by jojo14344(1512)

Question 151707: Tom's Uncle owns a triangular piece of land. The perimeter fence that surrounds the land measures 378 yards. The shortest side is 30 yards longer than one-half of the longest side. The 2nd longest side is 2 yards shorter than the longest side. What is the length of each side?
Click here to see answer by checkley77(12569)

Question 151750: A landscaper wants to enclose a 90ft by 120ft rectangle with a walk of uniform width. He wants to use a supply of crushed rock that will cover 1744 square feet of walk. How wide should he make the walk?
Click here to see answer by checkley77(12569)

Question 151764: What is the ratio of those who prefer black coffee to those who prefer nonblack coffee.Among 100 Coffee drinkers, 36 said that they preferred their coffee black and the rest did not prefer their coffee black.
Click here to see answer by jojo14344(1512)

Question 151789: Hi,
I need help with the following:
Translate the following into a system of equations, then solve it:A customer walks into an electronics store and buys five MP3 players and eight sets of headphones, paying $840. A second customer buys three MP3 players and four sets of headphones, and pays $480. How much does an MP3 player cost? How much does a set of headphones cost?
Click here to see answer by jojo14344(1512)

Question 151799: A dog owner has 250 feet of fencing to enclose a rectangular run for his dogs. If he wants the maximum possible area, what should the length and width of the rectangle be?
Click here to see answer by Earlsdon(6287)

Question 151793: Hi,
I need help with the following:
1. From the given polynomials, identify the polynomials of degree one.
a. 311y - 5 - 43y

Click here to see answer by vleith(2825)

Question 151790: Hi,
I need help with the following: I did the work just want to make sure its right
.Explain how to apply elimination in solving a system of equations.

To solve a system of linear equation by elimination process
1)Bring the co-efficient of any one variable to the same .
2) If the signs of both variable are same (having the same co-efficient) then subtract the two equation's.
a. Explain how to apply substitution in solving a system of equations.
3)If the signs are different then add the two equation’s so that like terms get eliminated.

4)The value of one variable is calculated

5)By substituting the value of known variable unknown variable can be found.
a. Demonstrate each technique in solving the system
3x + 9y = 12
5x - 4y = 3
Solution: 1. 3x + 9y = 12
2. 5x - 4y = 3
1)L.C.M of 3,5 = 15 hence bring the co-efficient of x to 15
multiply equations(1) by 5 , and equations(2) by 3. The two equations
reduces to 15x+45y = 60
15x-12y = 9
2) subtract the two equations we get 57y = 51 , y = 51/57
3) substituting the value of y in equations

(1) we get

3x+9(51/57) = 12
3x = 12- (459/57) = 684-459/57 = 225/57
x = 225/57*3 = 75/57
solution is x = 75/57 and y = 51/57

Thank you for your help.
S

Click here to see answer by vleith(2825)

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