Geometry
Questions & Answers
Points, Lines, and Planes a. name two coplaner lines: ED, CB b. Name four coplaner points: CD, EB
A network is said to be traversable if we can trace every edge without ever tracing the same edge twice. A path is said to be an Euler circuit if the network istraversable and we can start and end at the same edge. If we can visit each vert exexactly once and end back where we started, the path is said to be a Hamiltonian cycle. (See section 9.1 in your book if this is unclear)
There are 100 seats in a row. How many minimum seats are occupied with people so that a person who comes in later must have a person seated next to him?
Determine by inspecting the matrix (not by any further row reduction) if the columns of the following matrix are line independent. State your reasoning.
In the figure below, AD andCE are diameters of circle P. What is the arc measure of major arc AEB in degrees?
A developer decides to build a fence around a neighborhood park, which is positioned on a rectangular lot. Rather than fencing along the lot line, he fences x feet from each of the lot's boundaries. By fencing a rectangular space 141yd² smaller than the lot, the developer saves $432 in fencing materials, which cost $12 per linear foot. How much does he spend ? a. $160 b. $456 c. $3,168 d. The answer cannot be determined from the given information.
3. Using the triangular unit shown as the fundamental area unit, find the area of the following figures.
5. Find the slope of a line going through each set of points. Then describe the line. Determine the slope formula by circling your choice. (1 m=\frac{y_{2}+y_{1}}{x_{2}+x_{1}} m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} m=\frac{x_{2}+x_{1}}{y_{2}+y_{1}} m=\frac{x_{2}-x_{1}}{y_{2}-y_{1}} Use your answer from Part I to find the slope of a line going through each set of points.Then describe the line as positive, negative, zero, or undefined. Show your work andexplain your answer. \text { A. }(5,7) \text { and }(-4,-2) \text { (3 points) } B. (1, 3) and (1, -10) (3 points)
19 A straight road passes by a hill. The angle of elevation to the top of the hill is measured from three points A, B and C along the road. Point B is between points A and C such that AB = BC = 1200 m. The angle of elevation is 12.5° from point A and point B, and 9.5° from point C. Let h m be the height of the hill. Let Y be the top point of the hill and let X be the point vertically below Y at the same level as the road. a Find AX, BX and CX in terms of h.
