Questions on Geometry: Proofs in Geometry answered by real tutors!

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Question 189032: what is the measure of the acute angle formed by the hands of a clock at 9:40?
Click here to see answer by Alan3354(31532)

Question 189691: Given:
Angle AOC and angle COB form a linear pair.
Ray OD and ray OE are the angle bisectors of the angles in the linear pair.
Prove:
Measurement andgle DOE = 90 degrees
Click here to see answer by user_dude2008(1861)

Question 189997: How do you prove that a square plotted on graph paper is a square?
Click here to see answer by jim_thompson5910(28717)

Question 190486: I'm supposed to show that for an isosceles right triangle, where c is the hypotenuse and a is one leg,c=a*the square root of 2.
Click here to see answer by solver91311(17077)

Question 190529: What is the given and the to prove of "If one angle of a triangle is 90 degrees, then the other two add to 90 degrees"?
Click here to see answer by jim_thompson5910(28717)

Question 190531: What is the given and the to prove of the statement"If Paul is older than Bill and Fred is younger than Bill, then Bill's age is between Paul's and Fred's.
Click here to see answer by Edwin McCravy(8999)

Question 190737: Suppose you have a Venn diagram showing three sets. Call the sets A, B, and C. How many regions of the Venn diagram correspond to elements that are part of set A? Why so many?
Again, I am obviously having a horrible time with these questions, because I got this one wrong as well. Can someone show me the right steps so I can see what I am doing wrong? I really appreciate it!
Click here to see answer by Edwin McCravy(8999)

Question 190975: I am stuck on my homework assignment, can someone show me how this is completed? I really appreciate it!
A drug company is considering manufacturing a new product that has two different flavors, orange and cherry. They surveyed 150 people. The results are as follows:
75 liked cherry flavor
94 liked orange flavor
22 liked both flavors.
Construct a Venn diagram and answer the following:
a) How many liked only orange flavor?
b) How many liked only cherry flavor?
c) How many liked either one or the other or both?
d) How many liked neither?

Click here to see answer by stanbon(57977)

Question 191010: My professor changed the question from the one I previously submitted. Can someone help me with this one please:
In a survey of 75 resorts, it was reported that:
45 provided refrigerators in the guest rooms
37 provided laundry services
44 provided business centers
23 provided refrigerators in the guest rooms and laundry services
29 provided refrigerators in the guest rooms and business centers
21 provided laundry services and business centers
12 provided all three features
Construct a Venn diagram and use it to answer the following questions:
(a) How many of the resorts provided only refrigerators in the guest rooms?
(b) How many of the resorts provided exactly one of the features?
(c) How many of the resorts provided at least one of the features?
(d) How many of the resorts provided exactly two of the features?
(e) How many of the resorts provided none of the features?

Click here to see answer by Mathtut(3670)

Question 191865: I got these two questions wrong on my quiz, can someone show me how to do them?
I greatly appreciate it!
Write the following in roster form:

Set N is the set of natural numbers between four and eleven.

N = {11, 12, 13, 14, 15}

2.Express the following in set builder notation:
Z = {9, 10, 11, 12, 13, 14, 15, 16, 17}

Click here to see answer by jim_thompson5910(28717)

Question 191864: Can someone please help me with these two questions, it seems simple, so I am not sure that I am doing it correctly. Thanks!
Given U = {21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31}, A = {21, 23, 25, 27, 29}, and
B = {22, 25, 28, 29}. Find A′ U B′.

Given U = {l, m, n, o, p, q, r, s, t, u, v, w}, A = {l, o, p, q, s, t}, B = {n, o, r, s, v, w},
and C = {l, m, n, q, r, t}, find (A′ U C′) ∩ B ′.

Click here to see answer by jim_thompson5910(28717)

Question 191918: Set K contains 50 elements, set J contains 66 elements, and 14 elements are common to both sets. Find n (K U J).
=50+66-14
=102

Did I do this problem correctly? If not, can someone help me do it correctly? I appreciate it!

Click here to see answer by solver91311(17077)

Question 191917: For sets A and B, determine whether A = B, A is a subset of B, or B is a subset of A

A = {x| x є N and 13 < x < 20}
B = {14, 15, 16, 17, 18}

A = { x| x ? N and 13 < x < 18}
B = { 12, 13, 14, 15, 16, 17, 18}
Did I do this problem correctly? If not, can someone help me do it correctly? I appreciate it!

Click here to see answer by user_dude2008(1861)

Question 191916: Given U = {21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31}, A = {21, 23, 25, 27, 29}, and
B = {22, 25, 28, 29}. Find A′ U B′.
A={21,23,24,26,27,30,31} Did I do this correctly, if not, can someone show me how to do it? Thanks.

Click here to see answer by user_dude2008(1861)

Question 192215: prove parallelogram ABCD is a rhombus(question)
given: AC bisects angles BAD and BCD
given: ABCD is a parallelogram
Click here to see answer by orca(409)

Question 192441: How do I do this problem? I am lost.
Construct a truth table for ~q -> (~q ^ p).
Click here to see answer by Mathtut(3670)

Question 192580: Let AB be a chord in a circle centered at O with radius r. For what point M on the arc AB the sum of the distances [AM]+[MB] is minimum. Find this distance in terms of the radius r and the distance d=[AB].
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Question 192713: If triangle ABC is a triangle such that a^2 + b^2 = c^2, then angle BCA is a right triangle? This is the converse to the Pythagorean Theorem. Please do not use law of cosine!
Click here to see answer by jojo14344(1512)

Question 192828: Please help. I have struggled with this problem. I have a line segment with points A, B, C, and D.
Given: line AC is congruent to line BD
Prove: line AB is congruent to line CD

Click here to see answer by Mathtut(3670)

Question 193146: given: the distance formula n 3d. a sphere with radiu r has the center (a,b,c).
prove: the equation of a sphere in rectangular coordinates (x,y,z) with radius r and cente (a,b,c) is (x-a) squared plus (y-b) squared plus (z-c) squared equals r squared

Click here to see answer by Earlsdon(6294)

Question 193266: Given two parallel lines cut by a transversal,Prove that consecutive angles are supplementry
Click here to see answer by RAY100(1637)

Question 193358: Triangle ACB is in inscribed in cicle o. Given: AB is diameter and CD is perpendicular to AB. Prove: (CD)^2=(AD)(DB).
Click here to see answer by jojo14344(1512)

Question 193665: Decide if the statement is true or false, form the converse, and decide if the converse is true or false. If both the statement and its converse are true, write a biconditional equivalent to the two statements.
...If two angles are adjacent, then they have a common vertex.
Click here to see answer by RAY100(1637)

Question 194863: What is the classification of triangle PQR according to its angles?
1. right
2. Obtuse
3. Acute
4. Equiangular

This question has a diagram shown in the link:
http://i39.tinypic.com/29vcww1.jpg
Click here to see answer by Mathtut(3670)

Question 194862: What is the value of x?

This question has a diagram shown in the link:
http://i39.tinypic.com/fjojfl.jpg
Click here to see answer by Mathtut(3670)

Question 195414: Find the equation of line y = –x + 1 under each of the following transformations.
a) (x, y) arrow (x + 2, y + 3)
b) reflection across the x-axis
c) reflection across the y-axis
d) half-turn about origin
Click here to see answer by Mathtut(3670)

Question 196340: Is there more than one correct solution when writing geometric proofs, i.e., perhaps a longer proof than the one provided or one where the order of steps might differ?
Thanks!
Faith Thompson
Click here to see answer by RAY100(1637)

Question 196690: a right triangle is drawn where the right angle is on the top..
Given: triangle ABC, Prove: AC x BD = CD x BC
..
so i understand that the relation of it would be hypotenuse to leg = hypotenuse to leg .. i just don't understand how to solve it since there's no numbers. thank you!
Click here to see answer by solver91311(17077)

Question 197375: Please help. I have such a hard time with proofs. I need to prove that an angle bisector of an equilateral triangle is perpendicular to the opposite side. how would i do this?
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Question 197713: I atempted to do the diagram for this problem and am not sure if it is correct. I tried to submit what I had as far as a ven diagram, but it didn't paste onto this question box. Can someone please help me by showing me a diagram for this problem so that I can compare it to the one that I have already done. As you can see I have the answers I just want to make sure that I did the diagram correct. Thank you for your help!!!!!!!!!

8.(8 pts) A drug company is considering manufacturing a new product that
has two different flavors, orange and cherry. They surveyed
150 people.

The results are as follows:

75 liked cherry flavor
94 liked orange flavor
22 liked both flavors.

Construct a Venn diagram and answer the following:

a)How many liked only orange flavor?

72 which is in the part of circle O does
not overlap circle C.

b) How many liked only cherry flavor?

53 which is in the part of circle C does
not overlap circle O.

c) How many liked either one or the other or both?

Add the ones that are in either circle
or both circles: 53+22+72=147

d) How many liked neither?

The 3 that are outside both circles.

Click here to see answer by jim_thompson5910(28717)

Question 197947: I am really confused about this, please help me so that I can understand. Thank you
In a survey of 100 consumers, 33 indicated that they were going to buy a new car, 18 said they were going to buy a new refrigerator, and 34 said they were going to buy a new washer. Of these, 7 were going to buy both a car and a refrigerator, 15 were going to buy a car and a washer, and 9 were going to buy a washer and a refrigerator. Three consumers indicated that they were going to buy all three items.
Construct a Venn diagram, label your diagram clearly.
Use your diagram to answer the following questions:
(a) How many were going to buy only a car?
(b) How many were going to buy only a washer?
(c) How many were going to buy only a refrigerator
(d) How many were going to buy a car and a washer but not a refrigerator?
(e) How many were going to buy none of these items?
Click here to see answer by solver91311(17077)

Question 197983: How do you prove that 500=w(w plus 5) when you know that w is 20
Click here to see answer by stanbon(57977)

Question 198538: I need help!! Can someone please help me with this problem? Thank you!!!!

7. (4 pts) Use Euler Diagrams to determine whether the following
syllogism is valid or invalid.

All golfers have golf carts.

All members of the A club have golf carts.
--------------------------------------------------
All members of the A club are golfers

Click here to see answer by stanbon(57977)

Question 198712: 3.(2 pts) Write the following compound statement in symbolic form

Let p: Today is Friday.
q: Tomorrow is not the day to go shopping.
If tomorrow is not the day to go shopping, then today is not Friday.

Sorry, for sounding dumb, but I am having trouble figuring this out. Can I please get help on this. Math I am not bright in. Thank you in advance!!!!
Click here to see answer by solver91311(17077)

Question 198553: How can i prove my triangle proofs?
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Question 199296: In the diagram of a rectangle, ABCD, AC is a diagonal, BE is perpendicular to AC at E. AE=8, CE=5. What is the length of BE?
Click here to see answer by rfer(12730)

Question 199297: given: Isosceles trapezoid ABCD
prove ADCE is a parallelogram
Click here to see answer by tutorvolunteer(9)

Question 199731: Given: TR ≅ TY
Prove: ΔTRY is isosceles.
Choose the corresponding reason for each statement.
1. TR ≅ TY
2. TR=TY
3. ΔTRY is isosceles.
Click here to see answer by RAY100(1637)

Question 199739: How do you prove two things are in proportion?
ex: PA:PB=PC:PD
Click here to see answer by vleith(2825)

Question 199925: State the postulate or theorem you would use, to prove that lines m and n are parallel.

Answer:

A. converse of same - side interior angles theorem

B. converse of corresponding angles postulate

C. same - side exterior angles theorem

D. converse of alternate interior angles theorem

Click here to see answer by RAY100(1637)

Question 200318: i am having difficulty with proofs. i have to write a two-column proof. the question is:
given: <2 and <5 are supplementary
proof: l||m
I DONT KNOW SORRY
thank you
Click here to see answer by help97(1)

Question 200984: Given: Angle 2 is congruent to angle 3
Prove: Angle 1 is supplement to angle 6
Could any one help me? I've tried following examples and tried to solve it but I couldn't get it!
Click here to see answer by solver91311(17077)

Question 201034: 1) Complete the statement of the Overlapping Segments Conjucture: If segment AD has points A,B,C,andD in that order with segment ABcongruent to segment CD, then-----------.
2) Describe a situation inside or outside school in which deductive reasoning was used correctly.
PLS HELP ABOUT THIS TWO PROBLEMS. I REALLY WANT HELP PLS....... ITS DUE TOMORROW JUNE 25TH. SO I REALLY NEED THIS BY TODAY. ITS MY H.W. PLSSSSSSSSSSSSSS........PLSSSSSSSSSSSSSS HELP ME.
Click here to see answer by solver91311(17077)

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