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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
Draw a figure that fits the description.A concave quadrilateral.
∠A and ∠B are supplementary.Find m∠A and m∠B. mZA = (8x + 100)° m/B= (2x + 50)°
∠A and ∠B are supplementary.Find m∠A and m∠B. mZA = (2x - 20)° mZB= (3x + 5)°
∠A and ∠B are supplementary.Find m∠A and m∠B. mZA (6x + 72)° m/B= (2x + 28)°
Draw a figure that fits the description.A pentagon that is equilateral but not equiangular.
Sketch the next figure in the pattern.
Tell whether the statement is always, sometimes, or never true. Explain your reasoning.An angle has a supplement.
Write a definition of conjecture in your own words.
Describe the pattern in the numbers. Write the next number. 100, -50, 25, -12.5, ...
Copy and complete the proof. GIVEN RT = 5, RS5, RT = TS PROVE RS TS STATEMENTS 1. RT = 5, RS = 5, RT = TS 2. RS = RT 3. RT = TS 4. RS TS 5. RS TS = T R S REASONS 1. ? 2. Transitive Property of Equality 3. Definition of congruent segments 4. Transitive Property of Equality 5. ?
If two lines intersect at a point, then the _?_ angles formed by the intersecting lines are congruent.
If the hypothesis of a true if-then statement is true, then the conclusion is also true by the Law of ?.
What is a theorem? How is it different from a postulate?
A_?__ is a line that intersects the plane in a point and is perpendicular to every line in the plane that intersects it.
The following statement is true because of what property? The measure of an angle is equal to itself.
The word counter has several meanings. Look up the word in a dictionary. Identify which meaning helps you understand the definition of counterexample.
In Exercises 21 and 22, decide whether inductive or deductive reasoning is used to reach the conclusion. Explain your reasoning.The rule at your school is that you must attend all of your classes in order to participate in sports after school. You played in a soccer game after school on Monday.
Use Postulates 5 and 9 to explain why every plane contains at least one line.
In Exercises 21-25, use the property to copy and complete the statement.Substitution Property of Equality: If AB = 20, then AB + CD = ?.
Solve the equation. Write a reason for each step. x + 28 = -11 - 3x - 17
Use the pyramid to write examples of the postulate indicated.Postulate 7 Z S Y X T W
Rewrite the conditional statement in if-then form. When x = -2, x² = 4.
Copy and complete the proof of the first case of the Congruent Complements Theorem where two angles are complementary to the same angle. GIVEN 21 and 22 are complements. 21 and 23 are complements. PROVE 42 = 23 STATEMENTS 1. 21 and 22 are complements. 21 and 23 are complements. 2. mZ1 + m/2 =
In Exercises 37 and 38, decide whether the relationship is reflexive, symmetric, or transitive. Group: two employees in a grocery store Relationship: "worked the same hours as" Example: Yen worked the same hours as Jim.
Use the pyramid to write examples of the postulate indicated.Postulate 9 S Y X T W
Use the pyramid to write examples of the postulate indicated.Postulate 10 S Y X T W
Use the given information and the diagram to prove the statement. GIVEN ZABD is a right angle. ZCBE is a right angle. PROVE ZABC= ZDBE A C D B E
In Exercises 37 and 38, decide whether the relationship is reflexive, symmetric, or transitive. Group: negative numbers on a number line Relationship: "is less than" Example: -4 is less than -1.
In the diagram, m∠ADC = 124°. Find mZADB.
Your class is selling raffle tickets for $.25 each.a. Make a table showing your income if you sold 0, 1, 2, 3, 4, 5, 10, or 20 raffle tickets. b. Graph your results. Describe any pattern you see. c. Write an equation for your income y if you sold x tickets. d. If your class paid $14
Use the photo of the folding table. a. If m/1 = x°, write expressions for the other three angle measures. b. Estimate the value of x. What are the measures of the other angles? c. As the table is folded up, 24 gets smaller. What happens to the other three angles? Explain your reasoning. 2 3 X
Can the statement, "If x2 - 10 = x + 2, then x = 4," be combined with its converse to form a true biconditional?
Use the given information and the diagram to prove the statement. GIVEN JKL JM, KL 1 ML, ZJ ZM, ZK = ZL PROVEJM LML and JKL KL M K L
Use the Distributive Property to write the expression without parentheses. 4x - 5)
In the diagram, m∠ADC = 124°. Find mZ BDC.
Rewrite the conditional statement in if-then form.The measure of an acute angle is less than 90°.
You are given that the contrapositive of a statement is true. Will that help you determine whether the statement can be written as a true biconditional? Explain.
Copy the figure and label the following points, lines, and planes appropriately.a. Label the horizontal plane as X and the vertical plane as Y. b. Draw two points A and B on your diagram so they lie in plane Y, but not in plane X. c. Illustrate Postulate 5 on your diagram. d. If point Clies in
Rewrite the conditional statement in if-then form.Only people who are members can access the website.
Use the Distributive Property to write the expression without parentheses. -2 (x-7)
Set A consists of all multiples of 5 greater than 10 and less than 100. Set B consists of all multiples of 8 greater than 16 and less than 100. Show that each conjecture is false by finding a counterexample.a. Any number in set A is also in set B. b. Any number less than 100 is either in set A
Use the Distributive Property to write the expression without parentheses. (-2n + 5)4
Write a two-column proof. GIVEN PROVE ▶ 41 = 23
Use the photo and the given information to prove the statement. 3
Use the Distributive Property to write the expression without parentheses. x(x + 8)
Find the product of the integers.(-2) (10)
Write a two-column proof. GIVEN QRS and ZPSR are supplementary. PROVE ZQRL = ZPSR L R Q M N SK P
In the diagram, m∠ADC = 124°.Find a counterexample to show the conjecture is false. Conjecture All polygons have five sides. C (7x+22) D (4x-8) B A
Points E, F, and G all lie in plane P and in plane Q. What must be true about points E, F, and Gif P and Q are different planes? What must be true about points E, F, and G to force P and Q to be the same plane? Make sketches to support your answers.
Find the product of the integers.(15)(-3)
Find the product of the integers.(-5)(-4) (10)
You ask your friends how many pets they have. The results are: 1, 5, 1, 0, 3, 6, 4, 2, 10, and 1. Use these data in Exercises 43 - 46.Find the mean.
Find the product of the integers.(-3) (6) (-2)
You ask your friends how many pets they have. The results are: 1, 5, 1, 0, 3, 6, 4, 2, 10, and 1. Use these data in Exercises 43 - 46.Find the median.
You ask your friends how many pets they have. The results are: 1, 5, 1, 0, 3, 6, 4, 2, 10, and 1. Use these data in Exercises 43 - 46.Find the mode (s).
Find the product of the integers.(-4) (-2) (-5)
Suppose none of the four legs of a chair are the same length. What is the maximum number of planes determined by the lower ends of the legs? Suppose exactly three of the legs of a second chair have the same length. What is the maximum number of planes determined by the lower ends of the legs of the
You ask your friends how many pets they have. The results are: 1, 5, 1, 0, 3, 6, 4, 2, 10, and 1. Use these data in Exercises 43 - 46.Tell whether the mean, median, or mode (s) best represent(s) the data.
Find the perimeter and area of the figure. H H 7 in. - 3 in.
Tell whether the figure is a polygon. If it is not, explain why. If it is a polygon, tell whether it is convex or concave.
Tell whether the figure is a polygon. If it is not, explain why. If it is a polygon, tell whether it is convex or concave.
Tell whether the figure is a polygon. If it is not, explain why. If it is a polygon, tell whether it is convex or concave.
Draw an example of the type of angle described.Straight angle
In Exercises 49-52, sketch a plane. Then sketch the described situation.Sketch the next figure in the pattern.
In Exercises 49-52, sketch a plane. Then sketch the described situation.A plane perpendicular to the given plane
Find the coordinates of the midpoint of the segment with the given endpoints. L(2, 2) and N(1, -2)
Draw an example of the type of angle described.Obtuse angle
Draw an example of the type of angle described.Acute angle
In Exercises 49-52, sketch a plane. Then sketch the described situation.A line that intersects the plane at one point
Draw an example of the type of angle described.Right angle
In Exercises 47 and 48, write a two-column proof. GIVEN ▶ The hexagon is regular. PROVE ► m/1 + m2 = 180° XX 2
In Exercises 49-52, sketch a plane. Then sketch the described situation.Three noncollinear points that lie in the plane
Find the perimeter and area of the figure. 6 ft 10 ft 8 ft
Find the perimeter and area of the figure. 4 cm
In Exercises 47 and 48, write a two-column proof. GIVENmWYZ = m/TWZ = 45° PROVE SWZ = ZXYW SW X Y N T
In Exercises 49-52, sketch a plane. Then sketch the described situation.Two perpendicular lines that lie in the plane
Find the coordinates of the midpoint of the segment with the given endpoints. P(4, -1) and Q(-2, 3)
Use these statements to answer parts (a)-(c).Adam says Bob lies. Bob says Charlie lies. Charlie says Adam and Bob both lie. a. If Adam is telling the truth, then Bob is lying. What can you conclude about Charlie's statement? b. Assume Adam is telling the truth. Explain how this
Two lines that are not perpendicular intersect such that ∠1 and ∠2 are a linear pair, ∠1 and ∠2 are a linear pair, and ∠1 and ∠3 are vertical angles. Tell whether the statement is true or false. 22 = 24
Describe and correct the error in solving the equation for x. 7x = x + 24 8x = 24 x = 3 Given Addition Property of Equality Division Property of Equality x
Describe a pattern in the numbers. Write the next number in the pattern. Graph the pattern on a number line. 1, 3, 6, 10, 15, ...
Write the converse of each true statement. Tell whether the converse is true. If false, explain why. If x < 6, then -x> -6.
Two lines that are not perpendicular intersect such that ∠1 and ∠2 are a linear pair, ∠1 and ∠2 are a linear pair, and ∠1 and ∠3 are vertical angles. Tell whether the statement is true or false. mZ3+ m24 = 180°
Describe a pattern in the numbers. Write the next number in the pattern. Graph the pattern on a number line. 2, 20, 10, 100, 50, ...
Write the converse of each true statement. Tell whether the converse is true. If false, explain why. If x ≤ -x, then x ≤ 0.
You use a computer drawing program to create a line segment. You copy the segment and paste it. You copy the pasted segment and then paste it, and so on. How do you know all the line segments are congruent?
Describe a pattern in the numbers. Write the next number in the pattern. Graph the pattern on a number line. 0.4(6), 0.4 (6)2, 0.4 (6)³, ...
The distance from the restaurant to the shoe store is the same as the distance from the cafe to the florist. The distance from the shoe store to the movie theater is the same as the distance from the movie theater to the cafe, and from the florist to the dry cleaners.Use the steps below to prove
Exercises 28 and 29, show that the perimeter of triangle ABC is equal to the perimeter of triangle ADC. D Н A C в
In Exercises 25-28, use the true statements below to determine whether you know the conclusion is true or false. Explain your reasoning.If Arlo goes to the baseball game, then he will buy a hot dog. If the baseball game is not sold out, then Arlo and Mia will go to the game. If Mia goes
Write examples from your everyday life that could help you remember the Reflexive, Symmetric, and Transitive Properties of Equality.
Find the measure of each angle in the diagram. (3y+11) 10yº (4x-22)° (7x + 4)º
In Exercises 25-28, use the true statements below to determine whether you know the conclusion is true or false. Explain your reasoning.If Arlo goes to the baseball game, then he will buy a hot dog. If the baseball game is not sold out, then Arlo and Mia will go to the game. If Mia goes
In Exercises 28 and 29, show that the perimeter of triangle ABC is equal to the perimeter of triangle ADC. D A С B
Point X lies in plane M. Use Postulates 5 and 9 to explain why there are at least two lines in plane M that contain point X.
Find the measure of each angle in the diagram. 2(5x5)° (5y + 5)° (7y-9)° (6x + 50)°
In Exercises 30-33, use the diagram.Name two lines. B C A 10 1 F E P
Which postulate is suggested by the photo?
In Exercises 30-33, use the diagram.Name four rays. B C A D F E P
Write a statement that is true but whose converse is false.
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