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mathematics
holt mcdougal larson geometry
Holt McDougal Larson Geometry 1st Edition Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff - Solutions
Find the slope of line n perpendicular to line h and passing through point P. Then copy the graph and graph line n. y 1 (3, 4) h P(6, 1) (5,-2) X
Write an equation of the line that passes through point P and is parallel to the line with the given equation. P(-7,4), y = 16
Find the slope of line n perpendicular to line h and passing through point P. Then copy the graph and graph line n. (-5, -3) P(-4,-6) 1 Ay 1 (2,-4) X h
The graph at the right models the cost of renting a moving van. Write an equation of the line. Then find the cost of renting the van for a 100 mile trip. Cost (dollars) 60 40 20 0 (0, 30) 0 10 20 30 Miles (50, 60) 40 50 X
Write an equation of the line that passes through point P and is parallel to the line with the given equation. P(3, 8), y − 1 = ≤ (x + 4) -
Use the diagram at the right for Exercises 24 and 25.In the diagram, assume ∠1 and ∠7 are supplementary. Write a plan for a proof showing that lines j and k are parallel. 1/2 3/4 Ak 5/6 7/8 t
Find all the unknown angle measures in the diagram at the right. Justify your reasoning for each angle measure. 3. 1 40° 4 2 5 30°
Write an equation of the line that passes through point P and is parallel to the line with the given equation. P(-2, 6), x = −5 -5
Use the diagram at the right. Which rays are parallel? Which rays are not parallel? Justify your conclusions. FE A 62° 58° B C H G 61° 59° D
Use the diagram. S (2x + 2) Ho (3y-17)° (x+56) (y + 7) Р q
Write an equation of the line that passes through point P and is parallel to the line with the given equation. P(4, 0), -x + 2y = 12
You are trying to cross a stream from point A. Which point should you jump to in order to jump the shortest distance? Explain. B A C D E
Write an equation of the line that passes through point P and is parallel to the line with the given equation. P(-2, 1), 10x + 4y = -8
Copy and complete the proof that if two lines intersect to form a linear pair of congruent angles, then the lines are perpendicular. GIVEN 1 and 22 are a linear pair. 21 = 22 PROVE ► g ¹ h STATEMENTS 1. 21 and 22 are a linear pair. 2. 1 and 2 are supplementary. 3. ? 4. Z1 = 22 5. m/1 m/2 6. mZ1
Find the unknown coordinate so the line through the points has the given slope. (-3, 2), (0, y); slope -2
Line a passes through points (-2, 1) and (2, 9). Which equation is an equation of a line parallel to line a? A y=-2x + 5 By= x+5 Ⓒy=²x-5 Dy=2x-5
The diagram of the control bar of the kite shows the angles formed between the control bar and the kite lines. How do you know that n is parallel to m? 108⁰ 108°
The segments that form the path of a crosswalk are usually perpendicular to the crosswalk. Sketch what the segments would look like if they were perpendicular to the crosswalk. Which method requires less paint? Explain.
How do you know that the bowling pins are set up in parallel lines? a
Write an equation of the line that passes through point P and is perpendicular to the line with the given equation. P(0, 0), y = -9x - 1
Find the unknown coordinate so the line through the points has the given slope. (4, -3), (x, 1); slope -4
A point R is not in plane ABC.a. How many lines through R are perpendicular to plane ABC? b. How many lines through R are parallel to plane ABC? c. How many planes through R are parallel to plane ABC?
Write an equation of the line that passes through point P and is perpendicular to the line with the given equation. P(4, -6), y = -3
Find the unknown coordinate so the line through the points has the given slope. (-7,-4), (x, 0); slope 3
Describe how you would find the distance from a point to a plane. Can you find the distance from a line to a plane? Explain.
Write an equation of the line that passes through point P and is perpendicular to the line with the given equation. P(-1, 1), y = x + 10 3
The map shows part of Denver, Colorado. Use the markings on the map. Are the numbered streets parallel to one another? Explain how you can tell. E 20th Ave. E 19th Ave. E 18th Ave. E 17th Ave. TIINI Pennsylvania St. Pearl St. Washington St. Clarkson St. Park Ave.
Use the diagram and the given information to write a two-column or paragraph proof. GIVEN PROVE B 1 = Z2, Z3 = 24 AB CD 2 E 3 C
Write an equation of the line that passes through point P and is perpendicular to the line with the given equation. P(2, 3), y 4 = -2(x + 3) -
The water slide is 6 feet tall, and the end of the slide is 9 feet from the base of the ladder. About what slope does the slide have?
In Exercises 36 and 37, use the diagram to write a paragraph proof.In the diagram, assume ∠3 and ∠5 are supplementary. Prove the Consecutive Interior Angles Converse. + 12 34 5 6 78 AE
Graph the equation. x + y = 1
Graph the equation. 4x - y = -8
Architects and engineers make drawings using a plastic triangle with angle measures 30°, 60°, and 90°. The triangle slides along a fixed horizontal edge.a. Explain why the blue lines shown are parallel. b. Explain how the triangle can be used to draw vertical parallel lines.
Graph the equation. -x + 3y = -9
In Exercises 39 and 40, slope can be used to describe an average rate of change. To write an average rate of change, rewrite the slope fraction so the denominator is one.In 2000, a business made a profit of $8500. In 2006, the business made a profit of $15,400. Find the average rate of change in
Use the diagram below in Exercises 40-44. How would you show that the given lines are parallel? a and b
Graph the equation. у - 2 = -1 y -
Use the diagram below in Exercises 40-44. How would you show that the given lines are parallel? b and c
In Exercises 39 and 40, slope can be used to describe an average rate of change. To write an average rate of change, rewrite the slope fraction so the denominator is one.A rock climber begins climbing at a point 400 feet above sea level. It takes the climber 45 minutes to climb to the destination,
The line graph shows the regular season attendance (in millions) for three professional sports organizations from 1985 to 2000.a. During which five-year period did the NBA attendance increase the most? Estimate the rate of change for this five-year period in people per year. b. During which
Graph the equation. y + 2 = x - 1
Use the diagram below in Exercises 40-44. How would you show that the given lines are parallel? d and f
Find the circumference and area of the circle. Round to the nearest tenth. 20 m
Graph the equation. x + 3 = -4
Use the diagram below in Exercises 40-44. How would you show that the given lines are parallel? e and g
Find the circumference and area of the circle. Round to the nearest tenth. 12 in.
Find two values of k such that the points (-3, 1), (0, k), and (k, 5) are collinear. Explain your reasoning.
Graph the equation. 2y4x + 1
Solve the equation. 3. = -1
Describe and correct the error in finding the x- and y-intercepts of the graph of 5x - 3y = -15. To find the x-intercept, let x = 0: 5x3y -15 5(0) 3y = -15 y = 5 - x To find the y-intercept, let y = 0: 5x - 3y = -15 5x3(0)15 x = -3 x
Use the diagram below in Exercises 40-44. How would you show that the given lines are parallel? a and c
Find the intercepts of the graph of y = -3x + 9.
Graph the equation. 3(x-2) =-y-4
Find the circumference and area of the circle. Round to the nearest tenth. 9 cm
Find m∠1 and m∠2. Explain your reasoning. 157° 2 AE m n
Find the length of each segment. Round to the nearest tenth of a unit. M(-3,-3) y N(2, 0) 2 x
Find m∠1 and m∠2. Explain your reasoning. 64° 1 2 m
Find m∠1 and m∠2. Explain your reasoning. 1/2 82° AE m n
Audrey and Sara are making jewelry. Audrey buys 2 bags of beads and 1 package of clasps for a total of $13. Sara buys 5 bags of beads and 2 packages of clasps for a total of $27.50.a. Let b be the price of one bag of beads and let c be the price of one package of clasps. Write equations to
Find the length of each segment. Round to the nearest tenth of a unit. y 1 S(1, 1) T(6,-3) X
Solve the equation. 그들 = -1
Find the length of each segment. Round to the nearest tenth of a unit. a A(1,4) B(4,2) X
Scientists believe that a Tyrannosaurus Rex weighed about 2000 kilograms by age 14. It then had a growth spurt for four years, gaining 2.1 kilograms per day. Write an equation to model this situation. What are the slope and y-intercept? Tell what the slope and y-intercept mean in this situation.
The graph models the total cost of using a web hosting service for several months. Write an equation of the line. Tell what the slope and y-intercept mean in this situation. Then find the total cost of using the web hosting service for one year. Cost (dollars) 300 200 100 (0, 50) 2 0 0 Web
Graph the linear equations. Then use the graph to estimate how many solutions the equations share. 3y + 4x = 16 2xy = 18
Graph the linear equations. Then use the graph to estimate how many solutions the equations share. y = -5x + 6 10x + 2y = 12
Find the value of x if AB ≅ AD and CD = AD. Explain your steps. 9x - 11, B A D 6x + 1 C
Graph the linear equations. Then use the graph to estimate how many solutions the equations share. у= 4x + 9 4x-y= 1
Identify the x- and y-intercepts of the line. Use the intercepts to write an equation of the line. y X
Michael is deciding which gym membership to buy. Points (2, 112) and (4, 174) give the cost of gym membership at one gym after two and four months. Points (1, 62) and (3, 102) give the cost of gym membership at a second gym after one and three months. Write equations to model the cost of each gym
Identify the x-and y-intercepts of the line. Use the intercepts to write an equation of the line. 20- y 10 X
Identify the x- and y-intercepts of the line. Use the intercepts to write an equation of the line. y 1 X
You run at a rate of 4 miles per hour and your friend runs at a rate of 3.5 miles per hour. Your friend starts running 10 minutes before you, and you run for a half hour on the same path. Will you catch up to your friend? Use a graph to support your answer.
Solve the equation. x9- = -1
You are buying slices of pizza for you and your friends. A small slice costs $2 and a large slice costs $3. You have $24 to spend. Write an equation in standard form Ax + By = C that models this situation. What do the values of A, B, and C mean in this situation?
A national park has two options: a $50 pass for all admissions during the year, or a $4 entrance fee each time you enter.a. Model Write an equation to model the cost of going to the park for a year using a pass and another equation for paying a fee each time. b. Graph Graph both equations you
Solve the equation. -2. 3 = −1
Find a value for k so that the line through (1, k) and (-7, -2) is parallel to the line with equation y = x + 1.
A line passes through the points (-10, -3) and (6, 1). Where does the line intersect the x-axis? Where does the line intersect the y-axis?
You can choose one of eight sandwich fillings and one of four kinds of bread. How many different sandwiches are possible?
Identify all pairs of congruent corresponding parts. Then write another congruence statement for the figures. GHJK= QRST G K S R T Q
Identify all pairs of congruent corresponding parts. Then write another congruence statement for the figures. AABC ADEF B >C D E
Based on this lesson, what information do you need to prove that two triangles are congruent? Explain.
Find the measure of each numbered angle. 110% 1 2 3
What postulate or theorem justifies the statement about the diagram? 21 = 28
Find the angle measure. Tell which postulate or theorem you use. If m25 71°, then m/4=_?. =
Find m∠1, m∠2, and m∠3. Explain your reasoning. 2/3 1 133⁰
What postulate or theorem justifies the statement about the diagram? 23 = 27
Copy and complete the statement with sometimes, always, or never. Sketch examples to justify your answer. If two lines are parallel, then they are _?__coplanar.
Find the perimeter of the equilateral figure with the given side length.Pentagon, 20 cm
Identify all pairs of angles of the given type.Consecutive interior 1 2 3 4 56 78
Write the converse of the statement. Is the converse true?If the measure of an angle is 119°, then the angle is obtuse.
Write the converse of the statement. Is the converse true?Three points are collinear if they lie on the same line.
Find the measure of each numbered angle. 50° 3 2
Find the measure of each numbered angle. 1 120° 2 3
The ToddlerTM is a walking robot. Each leg of the robot has two parallel bars and a foot. When the robot walks, the leg bars remain parallel as the foot slides along the surface.a. As the legs move, are there pairs of angles that are always congruent? always supplementary? If so, which angles? b.
If two parallel lines are cut by a transversal, then the pairs of alternate exterior angles are congruent. Use the steps below to write a proof of the Alternate Exterior Angles Theorem. GIVEN ▶p|q PROVE
Use the Law of Detachment to make a valid conclusion. If the measure of an angle is less than 90°, then the angle is acute. The measure of ZA is 46°.
What is the best description of the horizontal bars in the photo?
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