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In the construction of a perpendicular line through a point not on the line, how can...
How many two-digit counting numbers do not contain any of the digits 1, 3, or 9?...
An open rectangular box is to be constructed by cutting square corners out of a20-by-20 inch...
Let triangle ABC be a triangle with excenters Ia, Ib, and Ic. Assume that triangle IaIbIc...
What is the axiomatic method in plain english for someone who is mathematically challenged.
Compare Birkhoff’s Axioms with Neutral Geometry system.
Use a reflection to construct (with the ruler and compass) a quadrilateral given all the side...
Suppose in triangle ABC ma and mb are the lengthsof the medians from A and B...
Let A = (0,0), B = (3,0), C = (2,8). Find a point P such that...
8. A cube sits tightly inside a sphere such that all 8 vertices touch the sphere....
Find a nonzero vector U with initial point P (-7,-2,6) such that: a. U has the...
Write up a formal proof that the perpendicular bisectors of a triangle are concurrent, and that...
Construct a triangle, given side BC, ∠A and length of the altitude from vertex A.
A convex quadrilateral is one whose internal angles are all less than 180°. Solve Fermat's Problem...
Prove that no line is entirely contained in any circle.
what sorts of figures are possible from the intersection of three half planes? four? five?
In the triangle ABC is the angle A=52,7 degrees, the angle C is obtuse, the side...
Let A = (0,0), B = (8,1), C = (5,−5), P = (0,3), Q = (7,7),...
Why in the proof of Euclid's Proposition 2 we couldn't just measured the length of the...
setup(do not evaluate) the integral for: volume of the region bound by y =x3 , x=2...
Using Euclid's Propositions I.1-I.17, solve the following questions: (a) One of the angles of triangle ABC...
1. Prove that the difference of the lengths of two sides of a triangle is less...
A parallelogram ABCD is called a rhombus if AB = BC = CD = DA. Suppose...
If a quadrilateral has all sides of equal length and one angle equal to 90◦, prove...
Suppose that in a Hilbert plane, lines m and n are parallel. Let P be a...
Prove that equilateral triangles exist in neutral geometry (that is, describe a construction that will yield...
Write a proof to show that opposite sides of a parallelogram are congruent. Be sure to...
prove that if C is an element of ray AB and C is not equal to...
Assume that you are given segment AB of length 1 (a unit). Given line segment of...
Let A=(0,0), B=(1,1), C=(-1,1), A'(2,0),B'(4,0), C'(2,-2).Show that triangle ABC and triangle A'B'C' satisfy the hypothesis of...
Constructions: construct, label, n write the instructions for the construction of a right triangle
A confectioner sells two types of nut mixtures. The standard-mixture package contains 50 g of cashews...
Find the arc length of a(t)=(2cosh3t,-2sinh3t,6t) for 0≤t≤5
Sorry the question is : Prove the following statement: Given two non-concentric circles, the center of...
Use the Exterior Angle Theorem to show that the sum of the measures of two interior...
a state is considering license plates that have three letters followed by three digits. assuming no...
six women and three men line up at the.check out counter at a store. in how...
33. Prove that the circumcenter, O, the centroid, G, and orthocenter, H, lie on a common...
2). Find the asymptotes of the hyperbola. (Enter your answers as a comma-separated list of equations.)...
show that if the summit and the base angles of two saccheri quadrilaterals are congruent then...
Reaserch integer sequences online. Record the first 5 terms of the sequence and record the rule...
Without a calculator, determine the sign of the quantity cos5/sin5. Draw a picture and write a...
If a diameter of a circle is perpendicular to one of two parallel chords of the...
Three angles are supplementary. The largest angle is 4 times the smallest and 3 times the...
1. A point is located at x= 3m and y = 4m. Find the location of...
Consider the plane with general equation x - 2y - 3z = 6. Which one of...
For the circle ???, ?? is the diameter, AB is the chord, and ?? is the...
TYPE PLEASE find statistical parameters (mean, median and standard deviation).14, 28, 72, 86, 99, 19, 109,...
Assuming that the yin and yang are separated by two semicircles, show how each can be...
A farmer is adding two enclosed containers to collect rainwater on his farm. In order to...
(e) Define these in terms of their equations: spiral, cardiod, lemniscate and hyperboloid of two sheets....
The Century of Flight mural measures 28,800 square feet – approximately the size of three football...
What is the difference in the surface area formulas between a prism and a pyramid?
Suppose that the betweenness relation (ABC) holds. Prove that (ACB) does not hold. Do not use...
1. Which of the following expresses the axis of symmetry and the vertex of the function...
A garden plot turned out to be a trapezoidal whose parallel sides measured 18 feet and...
Name the point of concurrency for the medians of a triangle. Please explain your choice. 1....
The dimensions of the rectangular prism are 56 mm by 19mm by 59mm. It has a...
Find an equation of a parabola satisfying the given conditions Focus (4, 1) and directrix x...
1. Find the polar co-ordinates of the point P whose rectangular co-ordinates are (-3,4) 2. A...
Define the displacement function in R^3. Also show that there is a transformation that maintains distance.
Find the largest possible rectangular area you can enclose with 420 meters of fencing. What is...
find the location of an earthquake's epicenter if it is 2 miles away from A (-2,5),...
Directions: Prove whether the quadrilateral is a parallelogram using the specified method. D(-5, -6), E(5, 2),...
Two vertices of an equilateral triangle lie on a diameter of a circle whose area is...
Turn in your explanation for the relationship between reflecting in two intersecting lines and the equivalent...
The monthly cost (in dollars) of a long-distance phone plan is a linear function of the...
prove that the product of a rotation and a translation is a rotation Euclidean Geometry and...
2. Solve both parts. (a) A company manufactures oil drums of diameter of 2 ft and...
We have a triangle ABC. a=|BC|, b=|CA|, c=|AB| and ∠A=v , ∠B=r , and ∠C=z Calculate...
This is ONE question in Geometry Volume 2 text: When they form conical piles, granular materials...
5. Suppose that the incenter I of ABC is on the triangle’s Euler line. Show that...
The sum of the lengths of any two sides of a triangle is greater than the...
Create an infographic that explains how the Law of Cosines and the Pythagorean Theorem are related
How do you construct a line segment of length 1/2 using compass and straightedge. I only...
Zaidah plans a raised flower bed 2 ft high by 15 ft wide by 24 ft...
show that the line y=3x+1 is tangeny to the parabola y2 =12x
Here is a great activity to do with your students that will intrigue them. You will...
For the circles x2 + y2 = 9 and (x - 1)2 + (y + 1)2...
a) Let T be the plane 3x-y-2z=9. Find the shortest distance d from the point P0...
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