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mathematics
holt mcdougal larson geometry

Questions and Answers of Holt McDougal Larson Geometry

\nGiven that WZ bisects ∠XWY, find the two angle measures not given in the diagram.\n\n X Z 71° W
\nFind the length of the segment. Round to the nearest tenth of a unit.\n\n y P(1, 2) Q(5, 4) X
\nRegular pentagonal tiles and triangular tiles are arranged in the pattern shown. The pentagonal tiles are all the same size and shape and the triangular tiles are all the same size and shape. Find
\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 = 3x2; A(-1,-5)
\nFind the length of the segment. Round to the nearest tenth of a unit.\n\n Q(-3,5) y R(2, 3) X
\nThe photograph shows an insect called a walkingstick. Use the ruler to estimate the length of the abdomen and the length of the thorax to the nearest 1/4 inch. About how much longer is the
The width of a rectangle is 17 inches. Its perimeter is 102 inches. Find the length of the rectangle.
The area of a rectangle is 18 square inches. The length of the rectangle is twice its width. Find the length and width of the rectangle.
\nThe endpoints of MN are M(-3, -9) and N(4,8). What is the approximate length of MN?\n\n A 1.4 units (B 7.2 units C13 units (D 18.4 units
\nThe bar graph shows the win-loss record for a lacrosse team over a period of three years.\n\na. Use the scale to find the length of the yellow bar for each year. What does the length
\nLongwood House, shown in the photograph on page 42, is located in Natchez, Mississippi. The diagram at the right shows the floor plan of a part of the house.\n\na. Tell whether the red polygon in
\nFind the indicated angle measure.\n\n\n a
The area of a triangle is 27 square feet. Its height is three times the length of its base. Find the height and base of the triangle.
\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 = -2x + 8; A(-4, 0)
\nFind the length of the segment. Round to the nearest tenth of a unit.\n\n S(-1,2), y X T(3,-2)
In 2003, a remote-controlled model airplane became the first ever to fly nonstop across the Atlantic Ocean. The map shows the airplane's position at three different points during its flight. a. Find
\nFind the side length of the square with the given area. Write your answer as a radical in simplest form.\n\n A = 184 cm²
\nGraph the inequality on a number line. Tell whether the graph is a segment, a ray or rays, a point, or a line.\n\n\n x≤ 3
\nEach sign suggests a polygon. Classify the polygon by the number of sides. Tell whether it appears to be equilateral, equiangular, or regular.\n\n YIELD
\nGraph the inequality on a number line. Tell whether the graph is a segment, a ray or rays, a point, or a line.\n\n x ≥ −4
Find the indicated angle measure. b
\nEach sign suggests a polygon. Classify the polygon by the number of sides. Tell whether it appears to be equilateral, equiangular, or regular.\n\n RESERVED PARKING & SME SE P PEINT UND
Let x represent the side length of a square. Find a regular polygon with side length x whose perimeter is twice the perimeter of the square. Find a regular polygon with side length x whose perimeter
\nGraph the inequality on a number line. Tell whether the graph is a segment, a ray or rays, a point, or a line.\n\n -7≤x≤4
Tell whether the statement is always, sometimes, or never true. Explain your reasoning.An obtuse angle has a complement.
Tell whether the statement is always, sometimes, or never true. Explain your reasoning.A straight angle has a complement.
\nFind the indicated angle measure.\n\n\n Co
\nFind the length of the segment. Then find the coordinate of the midpoint of the segment.\n\n\n
\nFind the side length of the square with the given area. Write your answer as a radical in simplest form.\n\n A 1008 mi² =
\nFind the length of the segment. Then find the coordinate of the midpoint of the segment.\n\n -8-6-4-2 0 2 4
\nGraph the inequality on a number line. Tell whether the graph is a segment, a ray or rays, a point, or a line.\n\n x 25 or x≤-2
\nFind the indicated angle measure.\n\n\n dº
\nEach sign suggests a polygon. Classify the polygon by the number of sides. Tell whether it appears to be equilateral, equiangular, or regular.\n\n STOP
\nSimplify the expression. Write your answer in simplest radical form.\n\n V45 + 99
\nFind the side length of the square with the given area. Write your answer as a radical in simplest form.\n\n A = 1050 km²
\nEach sign suggests a polygon. Classify the polygon by the number of sides. Tell whether it appears to be equilateral, equiangular, or regular.\n\n RAIL CROSSING
\nFind the indicated angle measure.\n\n\n eº
\nFind the indicated angle measure.\n\n\n fo
\nTwo vertices of a regular quadrilateral are A(0, 4) and B(0, -4). Which of the following could be the other two vertices?\n\n A C(4, 4) and D(4, -4) C C(8,-4) and D(8,4) B C(-4, 4) and D(-4,-4) D
\nFind the length of the segment. Then find the coordinate of the midpoint of the segment.\n\n
\nGraph the inequality on a number line. Tell whether the graph is a segment, a ray or rays, a point, or a line.\n\n x>-1 or x ≤5
\nFind the length of the segment. Then find the coordinate of the midpoint of the segment.\n\n -30 -20 -10 0
\nSimplify the expression. Write your answer in simplest radical form.\n\n V14 + 36
\nThe shape of the button shown is a regular polygon. The button has a border made of silver wire. How many millimeters of silver wire are needed for this border? Explain.\n\n (3x + 12) mm (20 - 5x)
\nGraph the inequality on a number line. Tell whether the graph is a segment, a ray or rays, a point, or a line.\n\n VI
\n∠A and ∠B are complementary. Find m∠A and m∠B.\n\n mZA= (3x + 2)° m/B= (x-4)°
\nThe diagram shows the design of a lattice made in China in 1850.\n\na. Sketch five different polygons you see in the diagram. Classify each polygon by the number of sides. \nb. Tell whether each
\nSimplify the expression. Write your answer in simplest radical form.\n\n √42 + (-2)²
Tell whether the statement is always, sometimes, or never true. Explain your reasoning.The complement of an acute angle is an acute angle.
\nFind the length of the segment. Then find the coordinate of the midpoint of the segment.\n\n -9 -6 -3 0 3
In the diagram, the diameter of the yellow circle is half the diameter of the red circle. What fraction of the area of the red circle is not covered by the yellow circle? Explain.
The area of a rectangle is 30 cm2 and its perimeter is 26 cm. Find the length and width of the rectangle.
Tell whether each of the following situations involving three planes is possible. If a situation is possible, make a sketch. a. None of the three planes intersect. b. The three planes
\nThe giant Amazon water lily has a lily pad that is shaped like a circle. Find the circumference and area of a lily pad with a diameter of 60 inches. Round your answers to the nearest tenth.\n\n
\n∠A and ∠B are complementary. Find m∠A and m∠B.\n\n mZA = (15x + 3)º mZB= (5x 13)°
A student states that AD can bisect ∠AGC. Describe and correct the student's error. Draw a sketch to support your answer.
\nSolve the equation.\n\n 4m + 5 = 7 + 6m
\nFind the length of the segment. Then find the coordinate of the midpoint of the segment.\n\n 4 -8 -6 -4 -2 0
\nWhat kind of geometric intersection does the photograph suggest?\n\n
\nA figure has line symmetry if it can be folded over exactly onto itself. The fold line is called the line of symmetry. A regular quadrilateral has four lines of symmetry, as shown. Find the number
You are planting grass on a rectangular plot of land. You are also building a fence around the edge of the plot. The plot is 45 yards long and 30 yards wide. How much area do you need to cover with
\n∠A and ∠B are complementary. Find m∠A and m∠B.\n\n mZA (11x + 24)° m/B= (x + 18)° =
\nSolve the equation.\n\n 13 4h = 3h - 8
\nWhat kind of geometric intersection does the photograph suggest?\n\n
\nThe diagram shows four identical squares lying edge-to-edge. Sketch all the different ways you can arrange four squares edge-to-edge. Sketch all the different ways you can arrange five identical
Chris is installing a solar panel. The maximum amount of power the solar panel can generate in a day depends in part on its area. On a sunny day in the city where Chris lives, each square meter of
\nSolve the equation.\n\n 17 + 3x = 18x - 28
One endpoint of PQ is P(-2, 4). The midpoint of PQ is M(1, 0). Explain how to find PQ.
\nWhat kind of geometric intersection does the photograph suggest?\n\n
\nThe eight spokes of a ship's wheel are joined at the wheel's center and pass through a large wooden circle, forming handles on the outside of the circle. From the wheel's center to the tip of the
\nSolve the equation.\n\n (35) b = 140
\nThe endpoints of two segments are given. Find each segment length. Tell whether the segments are congruent.\n\n AB: A(0, 2), B(-3, 8) CD: C(–2, 2), D(0, −4)
\nSolve the equation.\n\n x² = 144 =
Explain why a four-legged table may rock from side to side even if the floor is level. Would a three-legged table on the same level floor rock from side to side? Why or why not?
\nDraw two points P and Q. Then sketch PQ. Add a point R on the ray so that Q is between P and R.\n\n C D A B FL E
\nUse the information about the figure to find the indicated measure.\n\n\n Area = 261 m² Find the height h.
\nFor the given location on the map, estimate the measure of ∠PSL, where P is on the Prime Meridian (0° longitude), S is the South Pole, and L is the location of the indicated research
You and a friend go out to dinner and each pay for your own meal. The total cost of the two meals is $25. Your meal cost $4 more than your friend's meal. How much does each meal cost?
\nIn Exercises 60-64, use the diagram at the right.\nName the intersection of BC and plane P.\n\n P 0 A E C B D
Solve the equation. 3.14r² = 314
\nThe photograph at the right shows the Crown Fountain in Chicago, Illinois. At this fountain, images of faces appear on a large screen. The images are created by light-emitting diodes (LEDs) that
\nThe endpoints of two segments are given. Find each segment length. Tell whether the segments are congruent.\n\n JK: J(-4, 0), K(4, 8) LM: L(-4, 2), M(3, -7)
\nA surveying instrument is placed on a tripod. The tripod has three legs whose lengths can be adjusted.\n\na. When the tripod is sitting on a level surface, are the tips of the legs coplanar? \nb.
\nIn a perspective drawing, lines that do not intersect in real life are represented by lines that appear to intersect at a point far away on the horizon. This point is called a vanishing point. The
\nCopy and complete the statement.\n\n 500 m ? cm
\nPlot the points in a coordinate plane and draw ∠ABC. Classify the angle. Then give the coordinates of a point that lies in the interior of the angle.\n\n A(-5, 4), B(1,4), C(-2,-2)
\nEach street in a particular town intersects every existing street exactly one time. Only two streets pass through each intersection.\n\na. A traffic light is needed at each intersection. How many
\nTell whether the two angles shown are complementary, supplementary, or neither.\n\n 10 9 11 12 1 8 7 5 6 2 3 4 10 9 11 12 8 7 6 5 N 3 4
\nIn the diagram at the right, how many times as great is the area of the circle as the area of the square? Explain your reasoning.\n\n r r
\nPlot the points in a coordinate plane and draw ∠ABC. Classify the angle. Then give the coordinates of a point that lies in the interior of the angle.\n\n A(-5, 2), B(-2,-2), C(4, -3)
\nTell whether the two angles shown are complementary, supplementary, or neither.\n\n 10 9 11 12 1 8 Che 6 5 2 3 4 10 9 11 12 1 8 2 3 4 5 7 6
\nPlot the points in a coordinate plane and draw ∠ABC. Classify the angle. Then give the coordinates of a point that lies in the interior of the angle.\n\n A(-3, -1), B(2, 1), C(6, -2)
\nCopy and complete the statement.\n\n 12 mi = _?__ ft
\nCopy and complete the statement.\n\n 672 in. ?yd
You are given that ∠GHJ is a complement of ∠RST and ∠RST is a supplement of ∠ABC. Let m∠GHJ be x°. What is the measure of ∠ABC? Explain your reasoning.
Points S, T, and P lie on a number line. Their coordinates are 0, 1, and x, respectively. Given SP = PT, what is the value of x?
\nIn the photograph of a windmill, ST bisects QR at point M. The length of QM is 18/1 feet. Find QR and MR.\n\n R
You have 30 yards of fencing with which to make a rectangular pen. Let x be the length of the pen.a. Write an expression for the width of the pen in terms of x. Then write a formula for the area y of
\nUse the equation y = 2x + 1 to copy and complete the table of values.\n\n X У 1 ? 2 ? 3 ? 4 п ? 5 ?
\nTell whether the two angles shown are complementary, supplementary, or neither.\n\n 10 9 11 12 1 8 2 4 3 10 9 11 12 1 8 7 6 5 2 3 4

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