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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 m∠DEG and m∠GEF. G (7x-3)° (12x - 7)° E F D
Use the number line to find the indicated distance.KM -7 -6 K -5 -4 -3 -2 -1 0 +2 1 2 +4 LO 3 4 5 M 6 7
Find the coordinates of the midpoint of the segment with the given endpoints. G(-4, 4) and H(6, 4)
Name the intersection of plane PQS and plane HGS. E P H R F Q G S
Give another name for the angle in the diagram below. Tell whether the angle appears to be acute, obtuse, right, or straight. ZBDC
Use the diagram below. Tell whether the angles are vertical angles, a linear pair, or neither. 21 and 24
Find m∠DEG and m∠GEF. H D 6x E 4x° G F
Tell whether the statement is always, sometimes, or never true.A triangle is convex.
Are points P, Q, and F collinear? Are they coplanar? E P H I I F Q G S
Give another name for the angle in the diagram below. Tell whether the angle appears to be acute, obtuse, right, or straight. Z BEC
Copy and complete the statement. 187 cm² =? m² 2
The measure of an angle is 64°. What is the measure of its complement? What is the measure of its supplement?
Use the diagram. Is it possible to use the Segment Addition Postulate to show that FB > CB or that AC > DB? Explain. A D F C B
Find the coordinates of the midpoint of the segment with the given endpoints. J(-7,-5) and K(-3, 7)
Copy and complete the statement. 13 ft² = ? yd²
Are points P and G collinear? Are they coplanar? E p H I R T I I F Q G S
Tell whether the statement is always, sometimes, or never true.A decagon is regular.
Find the coordinates of the midpoint of the segment with the given endpoints. P(-8, -7) and Q(11, 5)
Use the diagram below. Tell whether the angles are vertical angles, a linear pair, or neither. 21 and 22
Which is a correct name for the obtuse angle in the diagram? A B С D
A convex polygon has half as many sides as a concave 10-gon. Draw the concave polygon and the convex polygon. Classify the convex polygon by the number of sides it has.
You can afford to spend $300 to carpet a room that is 5.5 yards long and 4.5 yards wide. The cost to purchase and install the carpet you like is $1.50 per square foot. Can you afford to buy this carpet? Explain. 6x - 12 3x + 6
Tell whether the statement is always, sometimes, or never true.A regular polygon is equiangular.
Copy and complete the statement. 2 18 in. = ? ft²
Name three planes that intersect at point E. E P H R I F Q G S
Find the perimeter of the regular pentagon shown at the right.
Tell whether the statement is always, sometimes, or never true.A circle is a polygon.
Point T bisects UV. Find UV if UT = 2 7/8 inches.
Classify the polygon by the number of sides. Tell whether the polygon is equilateral, equiangular, or regular. Explain your reasoning.
Find the indicated length.Find XZ. X 26 Y 45 Z
Find the indicated length. Find XY. X - 30 Y 7 Z
∠1 and ∠2 are complementary angles. Given the measure of ∠1, find m∠2. m21 = 21°
Classify the angle with the given measure as acute, obtuse, right, or straight. mZY = 90°
Line RS bisects PQ at point R. Find RQ if PQ = 4 3/4 inches.
Find the perimeter and area of the shaded figure. 17 cm A 6 cm 9 cm 10 cm 8 cm
Find the indicated length. Find BC. A 27 -42- B C
In Exercises 9-11, find the distance between the two points. T(3, 4) and W(2, 7)
Classify the polygon by the number of sides. Tell whether the polygon is equilateral, equiangular, or regular. Explain your reasoning. 1 in. 1 in. 1 in. 1 in. 1 in.
Name all rays with endpoint V. W Z S
∠1 and ∠2 are complementary angles. Given the measure of ∠1, find m∠2. mZ1 = 89°
Name two pairs of opposite rays. W N X
Classify the angle with the given measure as acute, obtuse, right, or straight. mZZ = 95°
Trace the diagram and extend the rays. Use a protractor to find the measure of the given angle. Then classify the angle as acute, obtuse, right, or straight. ZJFL
Classify the polygon by the number of sides. Tell whether the polygon is equilateral, equiangular, or regular. Explain your reasoning.
In Exercises 9-11, find the distance between the two points. C(5, 10) and D (6, -1)
∠1 and ∠2 are complementary angles. Given the measure of ∠1, find m∠2. og = 17
Use the given diameter d or radius r to find the circumference and area of the circle. Round to the nearest tenth. d = 27 cm
Find the indicated length. Find DE. D E -63- 50 F
In each diagram, M is the midpoint of the segment. Find the indicated length.Find AM. A X+5 M 2x C
Trace the diagram and extend the rays. Use a protractor to find the measure of the given angle. Then classify the angle as acute, obtuse, right, or straight. ZGFH
In the figure at the right, AC = 14 and AB = 9. Describe and correct the error made in finding BC. A B BC = 14 + 9 = 23 C x
In Exercises 9-11, find the distance between the two points. M(-8, 0) and N(-1, 3)
∠1 and ∠ 2 are supplementary angles. Given the measure of ∠ 1, find m∠2. m21 = 60°
In each diagram, M is the midpoint of the segment. Find the indicated length.Find EM. E 7x M 8x - 6 G
Classify the polygon by the number of sides. Tell whether the polygon is equilateral, equiangular, or regular. Explain your reasoning. 4 m 5m 5 m
The base of a triangle is 32 feet. Its height is 16 1/2 feet. Sketch the triangle and find its area.
Classify the polygon by the number of sides. Tell whether the polygon is equilateral, equiangular, or regular. Explain your reasoning. y
Use the given diameter d or radius r to find the circumference and area of the circle. Round to the nearest tenth. d = 5 in.
Classify the polygon by the number of sides. Tell whether the polygon is equilateral, equiangular, or regular. Explain your reasoning. # H
Trace the diagram and extend the rays. Use a protractor to find the measure of the given angle. Then classify the angle as acute, obtuse, right, or straight. ZGFK
Use the given diameter d or radius r to find the circumference and area of the circle. Round to the nearest tenth. r 12.1 mm
∠1 and ∠ 2 are supplementary angles. Given the measure of ∠ 1, find m∠2. mZ1 = 130°
In each diagram, M is the midpoint of the segment. Find the indicated length.Find PR. P 6x - 11 M 10x - 51 R
Two students were asked to draw a regular hexagon, as shown below. Describe the error made by each student. Student A
In each diagram, M is the midpoint of the segment. Find the indicated length.Find JM. J 6x + 7 M 4x + 5 L
Which statement about the diagram at the right is true? B E G CHAMPS CHAMPS 2005 2006 D
∠1 and ∠ 2 are supplementary angles. Given the measure of ∠ 1, find m∠2. m/1 = 155°
Sketch the figure described. Three lines that lie in a plane and intersect at one point.
Trace the diagram and extend the rays. Use a protractor to find the measure of the given angle. Then classify the angle as acute, obtuse, right, or straight. ZGFL
Use the given diameter d or radius r to find the circumference and area of the circle. Round to the nearest tenth. r = 3.9 cm
In Exercises 14 and 15, use the diagram.Trace the diagram and extend the rays. Use a protractor to measure ∠GHJ. Classify it as acute, obtuse, right, or straight. G K (8x-1) H (4x + 7)º J
∠1 and ∠ 2 are supplementary angles. Given the measure of ∠ 1, find m∠2. m21 = 27°
Sketch the figure described. One line that lies in a plane, and one line that does not lie in the plane.
The lengths (in inches) of two sides of a regular pentagon are represented by the expressions 5x - 27 and 2x - 6. Find the length of a side of the pentagon.
In each diagram, M is the midpoint of the segment. Find the indicated length.Find SU. S x + 15 M 4x - 45 U
Find the perimeter and area of the shaded figure. 15 mm 9 mmX 24 mm
∠1 and ∠2 are complementary angles. Given the measure of ∠1, find m∠2. m21 = 43
\nUse the diagram below. Tell whether the angles are vertical angles, a linear pair, or neither.\n\n\n 25 and 29
\nUse the given endpoint R and midpoint M of RS to find the coordinates of the other endpoint S.\n\n R(6, -2), M(5, 3)
\nUse the information about the figure to find the indicated measure.\n\n\n Area = 66 in.² Find the base b.
\nIn Exercises 27-32, you are given an equation of a line and a point. Use substitution to determine whether the point is on the line.\n\n y = x + 1; A(1, 0)
\nUse the given endpoint R and midpoint M of RS to find the coordinates of the other endpoint S.\n\n R(-7, 11), M(2, 1)
\nIn Exercises 27-32, you are given an equation of a line and a point. Use substitution to determine whether the point is on the line.\n\n y = x 4; A(5, 1)
\nPoint S is between R and T on RT. Use the given information to write an equation in terms of x. Solve the equation. Then find RS and ST.\n\n RS = 3x - 16 ST = 4x - 8 RT = 60
\nUse the given endpoint R and midpoint M of RS to find the coordinates of the other endpoint S.\n\n R(4, -6), M(-7, 8)
\nEach figure is a regular polygon. Expressions are given for two side lengths. Find the value of x.\n\n x² + 4 x² + x
\nUse the information about the figure to find the indicated measure.\n\n\n Perimeter 25 in. Find the width w.
\nDescribe and correct the error made in finding the value of x.\n\n 3xº xº x + 3x° = 180° 4x = 180 x = 45 X
Draw a figure that fits the description.An octagon that is equiangular but not equilateral.
\nEach figure is a regular polygon. Expressions are given for two side lengths. Find the value of x.\n\n x² + 3x x² + x + 2
\nGiven that WZ bisects ∠XWY, find the two angle measures not given in the diagram.\n\n to Z 52° W Y
\nIn Exercises 27-32, you are given an equation of a line and a point. Use substitution to determine whether the point is on the line.\n\n y = 3x + 4; A(7, 1)
\nUse the given endpoint R and midpoint M of RS to find the coordinates of the other endpoint S.\n\n R(-4, -6), M(3, -4)
\nEach figure is a regular polygon. Expressions are given for two side lengths. Find the value of x.\n\n a x² + 2x + 40 x² - x + 190
Draw a figure that fits the description.An octagon that is equiangular but not equilateral.
\nGiven that WZ bisects ∠XWY, find the two angle measures not given in the diagram.\n\n X Z 68° W Y
\nIn Exercises 27-32, you are given an equation of a line and a point. Use substitution to determine whether the point is on the line.\n\n y = 4x + 2; A(1, 6)
\nPoint S is between R and T on RT. Use the given information to write an equation in terms of x. Solve the equation. Then find RS and ST.\n\n RS= 2x 8 10 ST = 3x - RT = 17
\nThe measure of one angle is 24° greater than the measure of its complement. What are the measures of the angles?\n\n A 24° and 66° B 24° and 156° C 33° and 57° D 78° and 102°
\nGiven that WZ bisects ∠XWY, find the two angle measures not given in the diagram.\n\n X Z 71° W
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