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mathematics
holt mcdougal larson geometry

Questions and Answers of Holt McDougal Larson Geometry

Solve the equation. Write a reason for each step. 3 (7x - 9) - 19x = -15
Decide whether the statement is true or false. If it is false, give a real-world counterexample.A point can be in more than one plane.
Solve the equation. Write a reason for each step. 9x +31-23
Describe and correct the error in the argument: "If two angles are a linear pair, then they are supplementary. Angles C and D are supplementary, so the angles are a linear pair."
Decide whether the statement is true or false. If false, provide a counterexample.Supplementary angles are always linear pairs.
Decide whether the statement is true or false. If it is false, give a real-world counterexample.Any two planes intersect.
Solve the equation for y. Write a reason for each step. 5x + y = 18
Solve the equation. Write a reason for each step. -7(-x + 2) = 42
Describe the error in stating that ∠1 = 4 and ∠2 = ∠3. 2X3 4 +7=17 27=27 x
Decide whether the statement is true or false. If false, provide a counterexample.If a number is an integer, then it is rational.
Use the diagram to determine if the statement is true or false. W Q R J NL M P X
In Exercises 14-17, show the conjecture is false by finding a counterexample.If the product of two numbers is positive, then the two numbers must both be positive.
Decide whether the statement is true or false. If false, provide a counterexample.If a number is a real number, then it is irrational.
Decide whether each statement about the diagram is true. Explain your answer using the definitions you have learned. mZABC = 90° A B C
Solve the equation. Write a reason for each step. 26 + 2(3x + 11) = -18x
Solve the equation for y. Write a reason for each step. - 4x + 2y = 8
In Exercises 14-17, show the conjecture is false by finding a counterexample.The product (a + b)2 is equal to a2 + b2, for a ≠ 0 and b ≠ 0.
In Exercises 17-21, copy and complete the statement given that m∠FHE = m∠BHG = m∠AHF = 90°. If m/3 = 30°, then m26= ?.
Use the diagram to determine if the statement is true or false. W Q R J NL M P X
Solve for x using the given information. Explain your steps. GIVEN QRPQ, RS = PQ P Q 2x + 5 R S 10-3x
Decide whether each statement about the diagram is true. Explain your answer using the definitions you have learned. POLST S P 1 Q T
Use the diagram to determine if the statement is true or false. W Q R J NL M P X
In Exercises 16 and 17, what conclusions can you make using the true statement?If you save $2000, then you can buy a car. You have saved $1200.
Select the word (s) that make(s) the conclusion true.Mesa Verde National Park is in Colorado. Simone vacationed in Colorado. So, Simone (must have, may have, or never) visited Mesa Verde National
Solve for x using the given information. Explain your steps. GIVENm/ABC = 90° A 6x° z B (3x - 9)° C
Solve the equation for y. Write a reason for each step. 12 - 3y = 30x
In Exercises 17-21, copy and complete the statement given that m∠FHE = m∠BHG = m∠AHF = 90°. If m2 BHF = 115°, then m/3 = ? .
In Exercises 14-17, show the conjecture is false by finding a counterexample.All prime numbers are odd.
Describe and correct the error in the student's reasoning. True conjecture: All angles are acute. Example: x A C B
Decide whether each statement about the diagram is true. Explain your answer using the definitions you have learned. m2 + m23 = 180° M Q 2 3 N P
Solve the equation for y. Write a reason for each step. 3x + 9y=-7
In Exercises 16 and 17, what conclusions can you make using the true statement?The bakery makes a profit if its revenue is greater than its costs. You will get a raise if the bakery makes a profit.
Use the diagram to determine if the statement is true or false. W Q R J NL M P X
Select the word (s) that make(s) the conclusion true.The cliff dwellings in Mesa Verde National Park are accessible to visitors only when accompanied by a park ranger. Billy is at a cliff dwelling in
In Exercises 17-21, copy and complete the statement given that m∠FHE = m∠BHG = m∠AHF = 90°. If m26 27°, then m/1 = ? .
Use the diagram to determine if the statement is true or false. W Q R J NL M P X
In Exercises 14-17, show the conjecture is false by finding a counterexample.If the product of two numbers is even, then the two numbers must both be even.
Solve the equation for y. Write a reason for each step. 2y + 0.5x = 16
In Exercises 17-21, copy and complete the statement given that m∠FHE = m∠BHG = m∠AHF = 90°. If m2 DHF = 133°, then m/ CHG = ? .
Geologists use the Mohs scale to determine a mineral's hardness. Using the scale, a mineral with a higher rating will leave a scratch on a mineral with a lower rating. Geologists use scratch tests to
In Exercises 19-21, rewrite the definition as a biconditional statement. Two angles are a linear pair if they are adjacent angles whose noncommon sides are opposite rays.
In Exercises 17-21, copy and complete the statement given that m∠FHE = m∠BHG = m∠AHF = 90°. If m/3 = 32°, then m/2 = ? .
Use the diagram to determine if the statement is true or false. W Q R J NL M P X
In Exercises 19-21, rewrite the definition as a biconditional statement.An angle with a measure between 90° and 180° is called obtuse.
Solve the equation for y. Write a reason for each step. 3. ²x-³y=- -2
Write a complete proof by matching each statement with its corresponding reason. GIVEN QS is an angle bisector of ZPQR. PROVE ▸m/PQS = 1 m/ PQR STATEMENTS 1. QS is an angle bisector of ZPQR. 2.
In Exercises 20 and 21, write a function rule relating x and y. X y 1 -3 2 -2 3 -1
Use the Vertical Angles Congruence Theorem to find the measure of each angle in the diagram at the right. (3x-21) 7yº (2x+4)° (5y +36)
Use the diagram to determine if the statement is true or false. W Q R J NL M P X
In Exercises 20 and 21, write a function rule relating x and y. X У 1 2 2 4 3 6
Write a two-column proof. GIVEN AX DX, XB = PROVE ► AC = BD D X XC B C
What is the first number in the pattern? ???, 81, 243, 729
In Exercises 21-25, use the property to copy and complete the statement. Symmetric Property of Equality: If mZ1 = m/2, then__?__.
Use the diagram to determine if the statement is true or false. W Q R J NL M P X
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
Use the given information and the diagram to prove the statement. GIVEN PROVE A 2AB = AC AB = BC B C
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
In Exercises 21-25, use the property to copy and complete the statement. Addition Property of Equality: If AB = CD, then_? + EF = _?__ + EF.
Determine whether the statement is a valid definition.If two rays are opposite rays, then they have a common endpoint.
Describe a pattern in the numbers. Write the next number in the pattern. Graph the pattern on a number line. 2, ده ای ح این
In Exercises 21 and 22, decide whether inductive or deductive reasoning is used to reach the conclusion. Explain your reasoning.For the past 5 years, your neighbor goes on vacation every July 4th and
Determine whether the statement is a valid definition.If the sides of a triangle are all the same length, then the triangle is equilateral.
Use inductive reasoning to form a conjecture about whether the sum of an even integer and an odd integer is even or odd. Then use deductive reasoning to show that the conjecture is true.
Use the given information and the diagram to prove the statement. GIVEN ► m/1 + m2 = 180° m1 = 62° PROVE m/2 = 118° 12
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
George Herbert wrote a poem, Jacula Prudentum, that includes the statements shown. Use the Law of Syllogism to write a new conditional statement. Explain your reasoning. For want of a nail the shoe
In Exercises 21-25, use the property to copy and complete the statement. Distributive Property: If 5(x + 8) = 2, then _?_x + ? = 2.
Describe a pattern in the numbers. Write the next number in the pattern. Graph the pattern on a number line. 1, 8, 27, 64, 125,...
Describe a pattern in the numbers. Write the next number in the pattern. Graph the pattern on a number line. 0.45, 0.7, 0.95, 1.2, ...
Prove the indicated property of congruence. Reflexive Property of Angle Congruence GIVEN PROVE A A is an angle. ZA = ZA
In Exercises 21-25, use the property to copy and complete the statement. Transitive Property of Equality: If m/1 = m/2 and m/2 = m23, then?.
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
Prove the indicated property of congruence. Transitive Property of Segment Congruence GIVEN ▶WX = XY and XY = YZ PROVE WX=YZ W X Z
Determine whether the statement is a valid definition.If an angle is a right angle, then its measure is greater than that of an acute angle.
Write the converse of each true statement. Tell whether the converse is true. If false, explain why. If x> 4, then x > 0.
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
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
A student made the false statement shown. Change the statement in two different ways to make it true. Three points are always contained in a line. x
In Exercises 17 and 18, use the diagram at the right.Name two pairs of vertical angles. 1 2 4 3
The arm of a crossing gate moves 37° from vertical. How many more degrees does the arm have to move so that it is horizontal? 37
Find the perimeter of the figure. Round to the nearest tenth of a unit. y R T S X
In Exercises 14 and 15, use the diagram.Given m∠KHJ = 90°, find m∠LHJ. G K (8x-1) H (4x + 7)º L J
Use the number line to find the indicated distance.JK K -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 M 6 7
In each diagram, M is the midpoint of the segment. Find the indicated length.Find XZ. X 2x + 35 M 5x – 22 Z
Give another name for the angle in the diagram below. Tell whether the angle appears to be acute, obtuse, right, or straight. ZABC
Line AB and line CD intersect at point E, with point E between A and B and between C and D. Which rays are opposite rays? A EC and ED B CE and DE C AB and BÁ D AE and BÉ
Use the number line to find the indicated distance.JL -7 -6 K -5 -4 -3 -2 -1 0 L 1 + 2 3 4 LO 5 M 6 7
Find the perimeter of the figure. Round to the nearest tenth of a unit. G I y E F X
Give another name for the angle in the diagram below. Tell whether the angle appears to be acute, obtuse, right, or straight. ZBFD
Find m∠DEG and m∠GEF. (18x9) (4x + 13)° F D G E
In Exercises 17 and 18, use the diagram at the right.Name four linear pairs. 1 2 4 3
Find the coordinates of the midpoint of the segment with the given endpoints. C(3, 5) and D (7,5)
Name the intersection of PR and HR. E P H R F G S
Find the perimeter of the figure. Round to the nearest tenth of a unit. M Q 2 Ay 1 P N X
The expressions (9x + 5)° and (11x - 25)° represent the measures of two angles of a regular nonagon. Find the measure of an angle of the nonagon.
Give another name for the angle in the diagram below. Tell whether the angle appears to be acute, obtuse, right, or straight. ZAEC
The expressions 3x - 9 and 23 - 5x represent the lengths (in feet) of two sides of an equilateral triangle. Find the length of a side.
Name the intersection of plane EFG and plane FGS. E P F Q G S
To the nearest tenth of a unit, what is the perimeter of the rectangle shown at the right? A 1- y D 3 B С X
Use the number line to find the indicated distance.JM K -7 -6 -5 -4 -3 -2 -1 141 L 0 1 2 3 + 4 LO 5 M 6 7

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