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Question 1193686: Find the missing lengths. Give your answers in both simplest radical form and as approximations correct to two decimal places.
Given: right △RST with
RT = 8radical 2
and m∠
STV = 150°
Find: RS and ST
simplest radical form RS=
approximation RS =
simplest radical form ST =
approximation ST=
Click here to see answer by ikleyn(52787)

Question 1193592: Assume that AD is the geometric mean of BD and DC in △ABC Suppose BD = 3 and DC = 6.
Write a proportion involving AD that can be used to solve for AD.
3/AD
AD=

Find AD.
AD =

Suppose AD = 3 and DC = 6.
Write a proportion involving BD that can be used to solve for BD.
=
3/6
Find BD.
BD =

Click here to see answer by ikleyn(52787)

Question 1193343: 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 proyaop(69)

Question 1193334: 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 proyaop(69)

Question 1192322: 1. Suppose you have n points, no three of which are collinear. How many lines contain two of these n points?
2. If no four of the n points are coplanar, how many planes contain three of the n points?
Hint: (for 3 and 4, generalize in a form of a formula)
3.Prove theorem 1.1.4. The steps in the proof are already given: you just have to supply the reasons for each step.
Theorem 1.1.4. If two lines intersect, then their union lies in exactly one plane.
Proof: Let and be two intersecting lines.
a. A ∩ B is a point p.
b. B contains a point q ≠ p.
c. There is a plane E, containing A and q.
d. E contains A ∪ B.
e. No other plane contains A ∪ B.
Click here to see answer by CPhill(1959)

Question 1192321: 1. Suppose you have n points, no three of which are collinear. How many lines contain two of these n points?
2. If no four of the n points are coplanar, how many planes contain three of the n points?
Hint: (for 3 and 4, generalize in a form of a formula)
3.Prove theorem 1.1.4. The steps in the proof are already given: you just have to supply the reasons for each step.
Theorem 1.1.4. If two lines intersect, then their union lies in exactly one plane.
Proof: Let and be two intersecting lines.
a. A ∩ B is a point p.
b. B contains a point q ≠ p.
c. There is a plane E, containing A and q.
d. E contains A ∪ B.
e. No other plane contains A ∪ B.
Click here to see answer by CPhill(1959)

Question 1209550: A farmer has 114 feet of fencing. Which shape would give the most area?
(a) Equilateral triangle
(b) Circle
(c) Square
(d) Non-square rectangle
Click here to see answer by math_tutor2020(3817)

Question 1209548: Find the surface area of the regular pyramid.
A triangular pyramid. The base triangle has a base of 30 millimeters and a height of 26 millimeters. The height of a triangular face is labeled 20 millimeters.
mm2
Click here to see answer by ikleyn(52787)

Question 1209547: Find the surface area of the regular pyramid.
A triangular pyramid. The base triangle has a base of 7 centimeters and a height of 6 centimeters. The height of a triangular face is labeled 9 centimeters.
cm2
Click here to see answer by ikleyn(52787)

Question 1177064: In quadrilateral ABCD, AB=BC=1,m∠B=100degrees,m∠D=130degrees, Find BD.
No picture is associated with this question.
Click here to see answer by CPhill(1959)

Question 1177064: In quadrilateral ABCD, AB=BC=1,m∠B=100degrees,m∠D=130degrees, Find BD.
No picture is associated with this question.
Click here to see answer by ikleyn(52787)

Question 1160338: The clients have 6m tall tree in their back yard that is leaning 8 degrees to the vertical.
To prevent it from leaning any further, until it can be properly dug up and replanted, A support pole is placed 1M from the top of the tree at a 75 degrees angle with the ground.
How far from the base of the tree is the support pole placed on the ground?
Click here to see answer by ikleyn(52787)

Question 1209200: The volume of a right cone is 4125π units. If its diameter measures 30 units, find its height? please help I'm really stuck...
Click here to see answer by ikleyn(52787)

Question 1209200: The volume of a right cone is 4125π units. If its diameter measures 30 units, find its height? please help I'm really stuck...
Click here to see answer by greenestamps(13200)