Questions on Geometry: Geometric formulas answered by real tutors!

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Question 1193068: MNPQ is a parallelogram with diagonals
QN and MP. If MR = 5(a + 6)
and MP = 12a + 28,
find MR, RP, and MP.
so far i've got 5a+30=12a+28=7a+2

Click here to see answer by greenestamps(13200) About Me 

Question 1193118: Can I get help with this one, I ended up getting a square root as my answer.
Consider ▭MNPQ with diagonals
MP and NQ.

Click here to see answer by greenestamps(13200) About Me 
Question 1193118: Can I get help with this one, I ended up getting a square root as my answer.
Consider ▭MNPQ with diagonals
MP and NQ.

Click here to see answer by MathLover1(20850) About Me 
Question 1193118: Can I get help with this one, I ended up getting a square root as my answer.
Consider ▭MNPQ with diagonals
MP and NQ.

Click here to see answer by Alan3354(69443) About Me 

Question 1193117: Rectangle ABCD is given
Given:
AB = x + y
BC = x + 2y
CD = 2x − y − 2
DA = 3x − 3y + 3
Find:x and y

Click here to see answer by greenestamps(13200) About Me 
Question 1193117: Rectangle ABCD is given
Given:
AB = x + y
BC = x + 2y
CD = 2x − y − 2
DA = 3x − 3y + 3
Find:x and y

Click here to see answer by MathLover1(20850) About Me 

Question 1193115: Rectangle ABCD
Given:
AB = 2x + 8
BC = 4x + 2
CD = 3x + 4
Find: x and DA

Click here to see answer by Alan3354(69443) About Me 

Question 1193114: Rectangle ABCD
Given: AB = 8 and BC = 15
Find: CD, AD, and AC

Click here to see answer by Alan3354(69443) About Me 

Question 1193120: Can I get help with this one, I ended up getting a square root as my answer.
Consider ▭MNPQ with diagonals
MP and NQ.
If MQ = 15
and MN = 36,
find NQ and MP

Click here to see answer by josgarithmetic(39618) About Me 
Question 1193120: Can I get help with this one, I ended up getting a square root as my answer.
Consider ▭MNPQ with diagonals
MP and NQ.
If MQ = 15
and MN = 36,
find NQ and MP

Click here to see answer by MathTherapy(10552) About Me 

Question 1193113: A shaped rectangle is named ABCD
Given:
AB = 2x + 8
BC = 4x + 2
CD = 3x + 4
Find: x and DA

Click here to see answer by Alan3354(69443) About Me 
Question 1193113: A shaped rectangle is named ABCD
Given:
AB = 2x + 8
BC = 4x + 2
CD = 3x + 4
Find: x and DA

Click here to see answer by josgarithmetic(39618) About Me 

Question 1193112: A Rectangle ABCD is named.
Given: AB = 8 and BC = 15
Find: CD, AD, and AC

Click here to see answer by josgarithmetic(39618) About Me 

Question 1193121: Consider ▭MNPQ with diagonals
MP and NQ if NP = 9 and MP = 16, find QP and MN.

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Question 1193124: A square is named ABCD point E lies on side
DC. If AB = 16 and AE = 20, find BE.

Click here to see answer by math_tutor2020(3817) About Me 

Question 1193125: Walk-up ramp moves horizontally 20 ft while rising 5 ft. What is it's approximate length to the nearest tenth of a foot.

Click here to see answer by Boreal(15235) About Me 

Question 1193122: Rhombus named ABCD with a diagonals AC and DB. Given: AC = 18 and DB = 8
Find:
AE
DE
AD

Click here to see answer by MathLover1(20850) About Me 

Question 1193123: A rhombus is RSTV with diagonals
RT and SV so that RT = 16 and SV = 30 What is RS?

Click here to see answer by greenestamps(13200) About Me 

Question 1193133:
Click here to see answer by josgarithmetic(39618) About Me 

Question 1193134: Find the perimeter of the cyclic quadrilateral ABCD shown
whose numbers are 65,45 and 21.

Click here to see answer by Alan3354(69443) About Me 

Question 1193136: Given isosceles trapezoid ABCD, find the following.
AC (in cm), if BD = 15.2 cm
AC = ___cm
x, if AC = 3(x + 7)and BD = 8(x − 6)
x =

Click here to see answer by greenestamps(13200) About Me 

Question 1193135: Find the measures (in degrees) of the remaining angles of trapezoid ABCD if AB ∥ DC and m∠A = 59° and m∠C = 121
m∠B =
m∠D =

Click here to see answer by Edwin McCravy(20056) About Me 
Question 1193135: Find the measures (in degrees) of the remaining angles of trapezoid ABCD if AB ∥ DC and m∠A = 59° and m∠C = 121
m∠B =
m∠D =

Click here to see answer by greenestamps(13200) About Me 

Question 1193154: The drawing shows trapezoid ABCD with
AB ∥ DC;
also, M and N are midpoints of
AD and BC.
Given:MN = 6.5 and DC = 7.7
Find:AB

Click here to see answer by MathLover1(20850) About Me 

Question 1193156: In trapezoid ABCD (not shown),
m∠A =
x/2+ 30, m∠B =
x/3+ 50, and m∠C =
x/5+ 50.
Find all possible values of x. (Enter your answers as a comma-separated list.)

Click here to see answer by Edwin McCravy(20056) About Me 
Question 1193156: In trapezoid ABCD (not shown),
m∠A =
x/2+ 30, m∠B =
x/3+ 50, and m∠C =
x/5+ 50.
Find all possible values of x. (Enter your answers as a comma-separated list.)

Click here to see answer by greenestamps(13200) About Me 

Question 1193157: With MN ∥ QP and ∠M ≅ ∠Q, MNPQ is a right trapezoid. Find the following.
m∠P in degrees, if m∠MNP − m∠P = 56°
m∠P =
the length of side NP (in cm),
if MN = 14 cm, MQ = 15 cm, and PQ = 22 cm
NP = ? cm

Click here to see answer by greenestamps(13200) About Me 

Question 1193155: In isosceles trapezoid WXYZ with bases
ZY and WX,ZY = 4, YX = 10, and WX = 20.
Find height h (the length of ZD or YE)

Click here to see answer by greenestamps(13200) About Me 

Question 1193037: For a quadrilateral ABCD, the measures of its angles are given below.
m∠A = (x + 14)°
m∠B = (2(x + 2))°
m∠C =
3/2
x − 13
°
m∠D =
7/3
x − 14
°Find x.
then, Find the measure of each angle (in degrees) of ABCD.
I'm not sure where to even start here. here's what I got so far: x+14+2x+4=360..and x+10+2x=360...so x+10=360..and i got 36

Click here to see answer by MathTherapy(10552) About Me 

Question 1193203: The vertical sidewall of an in-ground pool that is 24 ft in length has the shape of a right trapezoid.
Find the sum (in ft) of the lengths of the two bases of trapezoid ABCD.

Find the depth (in ft) of the pool in the middle.

Click here to see answer by greenestamps(13200) About Me 

Question 1193202: EF
is the median of trapezoid ABCD in the figure below. Use the following theorems to answer the questions.
If three (or more) parallel lines intercept congruent line segments on one transversal, then they intercept congruent line segments on any transversal.
The line segment that joins the midpoints of two sides of a triangle is parallel to the third side and has a length equal to one-half the length of the third side.
Suppose that AB = 11.4 and DC = 17.2.
Find MF.
Find EM.
Find EF.
Find
1/2(AB + DC).


Click here to see answer by greenestamps(13200) About Me 

Question 1193201: Given isosceles trapezoid ABCD, find the following.
AC (in cm), if BD = 15.2 cm
AC = ? cm
AC = 3(x + 7)and BD = 8(x − 6) x=?

Click here to see answer by Solver92311(821) About Me 

Question 1193200: In the figure, a ∥ b ∥ c and B is the midpoint of AC.
AB = 2x + 5, BC = x + 7, and DE = 3x + 6.
x =
Find the length of
DE.
DE =
Because a ∥ b ∥ c and B is the midpoint of
AC,E is the midpoint of
DF and EF =
.
Find the length of
EF.

Click here to see answer by Solver92311(821) About Me 

Question 1193197: Given isosceles trapezoid ABCD, find the following.
An isosceles trapezoid is given.
AC (in cm), if BD = 15.2 cm
AC = ? cm
x, if AC = 3(x + 7)
and BD = 8(x − 6)
x =

Click here to see answer by Solver92311(821) About Me 

Question 1193198: trapezoid ABCD with
AB ∥ DC; also, M and N are midpoints of AD and BC, respectively.
Given:
AB = 4x + 5 and DC = 6x − 3
Find: MN in terms of x
Find AB + DC in terms of x.
AB + DC =

Find MN in terms of x.
MN =


Click here to see answer by Solver92311(821) About Me 

Question 1193342: We have trapezoid ABCD with AB ∥ DC also, M and N are midpoints of AD and BC, respectively.
Given:AB = 4x + 5 and DC = 6x − 3
Find: MN in terms of x

Click here to see answer by Boreal(15235) About Me 

Question 1193349: Given isosceles trapezoid ABCD, find x, if
AC = 3(x + 7)and BD = 8(x − 6)

Click here to see answer by MathLover1(20850) About Me 

Question 1193341: Given isosceles trapezoid ABCD, find the following.
AC (in cm), if BD = 15.2 cm
AC = ?cm
x, if AC = 3(x + 7)and BD = 8(x − 6)
x =

Click here to see answer by MathLover1(20850) About Me 

Question 1193333: a ∥ b ∥ c and B is the midpoint of AC.
AB = 2x + 5, BC = x + 7, and DE = 3x + 6.
x =
Find the length of
DE.
DE =
Because a ∥ b ∥ c and B is the midpoint of
AC,E is the midpoint of
DF and EF =
.
Find the length of
EF.

Click here to see answer by MathLover1(20850) About Me 

Question 1193332: We have trapezoid ABCD with AB ∥ DC also, M and N are midpoints of AD and BC, respectively.
Given:AB = 4x + 5 and DC = 6x − 3
Find: MN in terms of x

Click here to see answer by Edwin McCravy(20056) About Me 

Question 1193344: EF is the median of trapezoid ABCD in the figure below. Use the following theorems to answer the questions.
If three (or more) parallel lines intercept congruent line segments on one transversal, then they intercept congruent line segments on any transversal.
The line segment that joins the midpoints of two sides of a triangle is parallel to the third side and has a length equal to one-half the length of the third side.
Suppose that AB = 11.4 and DC = 17.2.
Find MF.
Find EM.
Find EF.
Find
1/2(AB + DC).

Click here to see answer by greenestamps(13200) About Me 

Question 1193594: Two numbers a and b are in the ratio 3 : 4.
Write a proportion involving a and b that equates the two ratios.
=
3
4
If the first number is decreased by 4 and the second is decreased by 2, they are in the ratio 2 : 3.
Write a proportion involving a and b that equates the two ratios.
=
2
3
Apply the Means-Extremes Property to both proportions. Rewrite the equations so that the variables are on the left side.
first proportion
= 0
second proportion
= 8
Find a and b.
a =
b =

Click here to see answer by josgarithmetic(39618) About Me 

Question 1193596: Quadrilateral ABCD ~ quadrilateral HJKL.
Two quadrilaterals are given side by side. The first quadrilateral appears smaller than the second.
The first quadrilaterals has vertices A, B, C, and D.
The first side starts at vertex A, travels down and to the right, and ends at vertex B.
The second side appears horizontal, starts at the bottom left at vertex B, travels to the right, and ends at vertex C.
The third side starts at vertex C, travels up and to the left, and ends at vertex D.
The fourth side starts at vertex D, travels slightly down and to the left, and ends at vertex A.
∠A has 1 arc, ∠B has 2 arcs, ∠C has 3 arcs, and ∠D has 4 arcs.
The second quadrilateral has vertices H, J, K, and L.
The first side starts at vertex H, travels down and to the right, and ends at vertex J.
The second side appears horizontal, starts at the bottom left at vertex J, travels to the right, and ends at vertex K.
The third side starts at vertex K, travels up and to the left, and ends at vertex L.
The fourth side starts at vertex L, travels slightly down and to the left, and ends at vertex H.
∠H has 1 arc, ∠J has 2 arcs, ∠K has 3 arcs, and ∠L has 4 arcs.
If
m∠A = (2x + 3)°, m∠H = 69°, and m∠D = (3x − 9)°, find m∠L in degrees.
m∠L
=
°

Click here to see answer by ikleyn(52788) About Me 

Question 1193601: In right △ABC with right ∠C,
AB = 20 and BC = 16.
Find the length of MB, if M is the midpoint of AC.

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Question 1193603: △HJK ~ △FGK.
If HK = 6, KF = 8, and FG = 9, find HJ.

Click here to see answer by ikleyn(52788) About Me