Mathematics For Machine Technology
8th Edition
ISBN: 9781337798310
Author: Peterson, John.
Publisher: Cengage Learning,
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Chapter 57, Problem 8A
Trace each line in Exercises a through c and construct perpendiculars to each line at the given points on the lines.
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Ehese constructions.
Construct an angle congruent to ZB.
Let A be the point with coordinates (-2, -1, -1) and let B be the point with coordinates (2, 0, 0). Let l be the line passing through the origin and B.
Let D be the midpoint of AB.
What is the distance from D to the line l?
Determine if lines AB and CD are parallel, perpendicular, or intersecting, given:
A(1, 3), B(4, 9)
C(2, 5), D(4, 4)
A. Unable to determine
B. Parallel
C. Intersecting
D.Perpendicular
Chapter 57 Solutions
Mathematics For Machine Technology
Ch. 57 - If A=30 and BD=5826 , find the measure of CD .Ch. 57 - Determine the circumference of a circle with a...Ch. 57 - Determine the size of ACB.Ch. 57 - Prob. 4ACh. 57 - A carbide milling cutter is used for machining a...Ch. 57 - Prob. 6ACh. 57 - Show construction lines and arcs for each of these...Ch. 57 - Trace each line in Exercises a through c and...Ch. 57 - Prob. 9ACh. 57 - Lay out a figure as follows: a. Draw a horizontal...
Ch. 57 - Show construction lines and arcs for each of these...Ch. 57 - Show construction lines and arcs for each of these...Ch. 57 - Prob. 13ACh. 57 - Prob. 14ACh. 57 - Lay out the gage shown. Make the layout full size...Ch. 57 - Show construction lines and arcs for each of these...Ch. 57 - Trace each line segment of Exercises a, b, and c....Ch. 57 - Lay out the template shown. Make the layout full...Ch. 57 - Lay out the cutout shown. Make the layout full...Ch. 57 - Trace the plate shown on next page. Lay out three...
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- Trace each line segment of Exercises a, b, and c. Divide the given lines into the designated number of segments by means of construction.arrow_forwardIn Exercises 29 to 34, draw the line described. Through -2,1 and perpendicular to the line that has intercepts a=-2 and b=3arrow_forwardIn Exercises 29 to 34, draw the line described. Through -2,1 and parallel to the line 2x-y=6arrow_forward
- Complete each postulate: a If two lines intersect, they intersect in a _________________. b If two planes intersect, they intersect in a ________________.arrow_forwardProve that if two lines neither horizontal nor vertical are perpendicular, then the product of their slopes is -1. HINT: See Figure 10.19. You need to show and use the fact that ABC~EDC.arrow_forwardRefer to Figure 50-22 and identify each of the following as parallel, perpendicular, or oblique lines. a. Line AB and line CD b. Line AB and EF c. Line CD and GHarrow_forward
- Show construction lines and arcs for each of these exercises. Trace each line segment in Exercises a through d and construct perpendicular bisectors to each segment.arrow_forwardWhich type of path straight, curved, circular, or scattered is determined by: a a roller coaster? b a pencil? c a carousel? d darts thrown at a dartboard?arrow_forwardIn Exercises 21 to 24, state whether the lines are parallel, perpendicular, the same coincident, or none of these. 2x+3y=6 and 3x-2y=12arrow_forward
- A chain line PQ intersects a pond as seen in Figure. Two points A and B are taken on the chain line on opposite sides of the pond. A line AC, 250 m long, is set out on the left of AB and another line AD, 300 m long, is set out on the right of AB. Points C, B and D are in the same straight line. CB and BD are 100 and 150 m long respectively. Calculate the length of AB.arrow_forwardThree lines are mutually parallel. Two other lines intersect the three parallel lines at A, B and C and D, E and F, as shown in the diagram. Prove that AB/BC = DE/EFarrow_forward7. A publisher asks a printer for quotations on the cost of printing 2,000 and 3,000 copies of book. The printer quotes $8,500 for 2,000 copies and $14,500 for 3,000 copies. Assume that cost, y is linearly related to x, the number of books printed. a) Write the coordinates of given points. b) Write the equation of the line. c) What is the cost of printing 4,500 copies?arrow_forward
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