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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
Use the number line to find the ratio of the distances. A 842 B 012 43 3 C44 + 45 4 5 6 D 7 8 + 9 E + + 10 11 12 13 14 F 15 16
Use the diagram and the given information to find the unknown length. Given Q SQ TV SR TU' find RQ. R 7 S T 3 U 7
Explain why the student's similarity statement is incorrect. ABCDEFGH by AA Similarity Postulate x B E H G
The perimeter of a rectangle is 154 feet. The ratio of the length to the width is 10:1. Find the length and the width.
In Exercises 18 and 19, make a sketch that can be used to show that the statement is false.If two pairs of sides of two triangles are congruent, then the triangles are similar.
Use the diagram to find the value of each variable. b 12.5 5 12.5 15 12 d 10
Sketch the triangles using the given description. Explain whether the two triangles can be similar. In ARST, RS = 20, ST = 32, and m/S= 16°. In AFGH, GH = 30, HF = 48, and mZH = 24°.
Use the number line to find the ratio of the distances. A + 0 1 B 342 + 3 C 4 15 сл - 5 6 D 7 ∞ - E + + 10 8 9 11 12 13 14 F 15 16
Use the diagram and the given information to find the unknown length. Given A 7 CA CB B AE BD' find BD. 14 18 C D 3 E
In Exercises 9-14, determine whether the triangles are similar. If they are, write a similarity statement. L M QP N
In Exercises 13 and 14, use the diagram of the field hockey field in which 1 inch = 50 yards. Use a ruler to approximate the dimension.Find the actual width of the field.
Are the polygons always, sometimes, or never similar?A scalene triangle and an isosceles triangle.
Use the number line to find the ratio of the distances. A 0 +-- 1 B 842 13 3 C 4 +15 +6 5 6 947 48 8 9 E40 10 11 12 + 13 14 F 15 16
Find the value of the variable. 16.5 11 -29 P
Describe and correct the error made in the reasoning. If = then ³+3=5+3 at a c 4 x
Sketch the triangles using the given description. Explain whether the two triangles can be similar. In AXYZ, mLX = 66° and mL Y = 34°. In ALMN, m/M = 34° and mLN = 80°.
Are the polygons always, sometimes, or never similar?A right triangle and an isosceles triangle
Find the value of the variable. 16 36 28
Find the ratio of the width to the length of the rectangle. Then simplify the ratio. 10 m 320 cm
Describe and correct the student's error in writing the similarity statement. AABC~ A PQR by SAS Similarity Theorem 15 B P 18 A 86° C 24 86/20 R x
The triangles are similar. Describe and correct the error in finding the perimeter of Triangle B. 10 A 12 6 5 B x Perimeter of B = 56
Are the polygons always, sometimes, or never similar?Two isosceles triangles
In Exercises 9-14, determine whether the triangles are similar. If they are, write a similarity statement. W X 50° Y. 85° 45° Z U
In Exercises 13 and 14, use the diagram of the field hockey field in which 1 inch = 50 yards. Use a ruler to approximate the dimension.Find the actual length of the field. PIC
Find the ratio of the width to the length of the rectangle. Then simplify the ratio. 16 cm 18 cm
Show that the triangles are similar and write a similarity statement. Explain your reasoning. X 21 30 47° Y G Z 50 35 47° D
Are the polygons always, sometimes, or never similar?Two equilateral triangles.
Use the diagram and the given information to find the unknown length. Given Z XW YW XV ZV' find ZV. 24 X 12 W 5 V
A student begins to solve for the length of AD as shown. Describe and correct the student's error. A 10 B D 20 16 AB AD A-10-20 - CD 16 20 x
Find the ratio of the width to the length of the rectangle. Then simplify the ratio. 15 in. 5 in.
Two similar FOR SALE signs have a scale factor of 5:3. The large sign's perimeter is 60 inches. Find the small sign's perimeter.
A basket manufacturer has headquarters in an office building that has the same shape as a basket they sell.a. The bottom of the basket is a rectangle with length 15 inches and width 10 inches. The base of the building is a rectangle with length 192 feet. What is the width of the base of the
Solve the proportion. 6 X || 3 دند 2
Solve the proportion. y 20 3 око 10
In the diagram, ΔABC ~ ΔDEF.Find the scale factor of ΔABC to ΔDEF. D E 8 2|5 10/²/2 9 F A 22 B 19 C
The map of a hiking trail has a scale of 1 inch :3.2 miles. Use a ruler to approximate the actual distance between the two shelters.Meadow View and Whispering Pines. Winter Lake er Creek Sherman Flat Meadow View 2521 Walker River 0092 Whispering Pines 0002 ▲ 2257 Blueberry Hill -2000-
Solve the proportion. NIN 2 7 12 Zz
The map of a hiking trail has a scale of 1 inch :3.2 miles. Use a ruler to approximate the actual distance between the two shelters.Whispering Pines and Blueberry Hill. Hop Winter Lake Creek Sherman Flat Meadow View 2521 Walker River 0092 2719 Whispering Pines 0003 2257 Blueberry Hill -2000-
In the diagram, ΔABC ~ ΔDEF.Find the unknown side lengths in both triangles. D E 8 2|5 10/²/ 9 F A 22 B 19 C
Triangles NPQ and RST are similar. The side lengths of ΔNPQ are 6 inches, 8 inches, and 10 inches, and the length of an altitude is 4.8 inches. The shortest side of ΔRST is 8 inches long.Find the length of the corresponding altitude in ΔRST.
In the diagram, ΔABC ~ ΔDEF.Find the length of the altitude shown in ΔABC. E 8 D 10/ 9 F A 22 B 19 C
A street on a map is 3 inches long. The actual street is 1 mile long. Find the scale of the map.
The photograph shows a particle of goldenrod pollen that has been magnified under a microscope. The scale of the photograph is 900: 1. Use a ruler to estimate the width in millimeters of the particle.
Solve the proportion. j+1 5 4 10
Assume that the wheelchair ramps described each have a slope of 1/12, which is the maximum slope recommended for a wheelchair ramp.A wheelchair ramp has a 21 foot run. What is its rise? ww
In the diagram, ΔABC ~ ΔDEF.Find and compare the areas of both triangles. D E 8 9 10²/ F 2|5 A 22 B 19 C
Solve the proportion. 4 a-3 25
Make a scale drawing or scale model of a large object by measuring it, choosing an appropriate scale factor, and using proportions.
Solve the proportion. 1 C + 5 C || 3 24
Copy the figure at the right and divide it into two similar figures.
Assume that the wheelchair ramps described each have a slope of 1/12, which is the maximum slope recommended for a wheelchair ramp.A wheelchair ramp rises 4 feet. What is its run?
Solve the proportion. 3 2p + 5 || 1 9р
Solve the proportion. 1 + 3b 4 NIG
Researchers asked 4887 people to pick a number between 1 and 10. The results are shown in the table below.a. Estimate the number of people who picked the number 3. b. You ask a participant what number she picked. Is the participant more likely to answer 6 or 7? Explain. c. Conduct this experiment
In table tennis, the table is a rectangle 9 feet long and 5 feet wide. A tennis court is a rectangle 78 feet long and 36 feet wide. Are the two surfaces similar? Explain. If so, find the scale factor of the tennis court to the table.
Is similarity reflexive? symmetric? transitive? Give examples to support your answers.
Use algebra to verify the property of proportions.Property 2
Find the geometric mean of the two numbers. 2 and 18
Find the geometric mean of the two numbers. 4 and 25
Use algebra to explain why the property of proportions is true. If a b - a+b g c-d c + d' then
Find the geometric mean of the two numbers. 32 and 8
A rectangular image is enlarged on each side by the same amount. The angles remain unchanged. Can the larger image be similar to the original? Explain your reasoning, and give an example to support your answer. 0 l W l + a w + a
During a total eclipse of the sun, the moon is directly in line with the sun and blocks the sun's rays. The distance ED between Earth and the moon is 240,000 miles, the distance DA between Earth and the sun is 93,000,000 miles, and the radius AB of the sun is 432,500 miles.a. Copy the diagram and
Find the geometric mean of the two numbers. 4 and 16
Use algebra to explain why the property of proportions is true. If a b d f' =f then a+c+e b+d+f b
Use algebra to explain why the property of proportions is true. If a + c If+then € b d b-d' 2²== b d'
Find the geometric mean of the two numbers. 2 and 25
Find the geometric mean of the two numbers. 6 and 20
You are preparing a computer presentation to be digitally projected onto the wall of your classroom. Your computer screen is 13.25 inches wide and 10.6 inches high. The projected image on the wall is 53 inches wide and 42.4 inches high. Are the two shapes similar? If so, find the scale factor of
A student incorrectly simplified the ratio. Describe and correct the student's error. 8 in. 8 in. 12 in. 96 in. 2017-01-12-31 3 ft 3 ft 1 ft = 3 ft 32 in. 1 ft X
Use algebra to verify the property of proportions.Property 3
Use algebra to verify the property of proportions.Property 4
Solve the proportion. 2x + 5 3 x - 5 4
Let x = 10, y = 3, and z = 8. Write the ratio in simplest form. Z:X
Let x = 10, y = 3, and z = 8. Write the ratio in simplest form. 8y X
Let x = 10, y = 3, and z = 8. Write the ratio in simplest form. 4 2x + 2z
Solve the proportion. 7 I+b q-1 5
Let x = 10, y = 3, and z = 8. Write the ratio in simplest form. 2x - z Зу
How are the areas of similar rectangles related to the scale factor? Use examples to justify your reasoning.
Solve the proportion. 2 − s 3 2s + 1 5
Solve the proportion. 15 m || m 5
When fruit is dehydrated, water is removed from the fruit. The water content in fresh apricots is about 86%. In dehydrated apricots, the water content is about 75%. Suppose 5 kilograms of raw apricots are dehydrated. How many kilograms of water are removed from the fruit? What is the approximate
Copy and complete the statement with , or =. WX ? YX W 48° X N 45°
Copy and complete the statement with <, > or =. RS ? TU R U 110 11 +1 115% V S
Prove the Perimeters of Similar Polygons Theorem for similar rectangles. Include a diagram in your proof.
Over the weekend, Claudia drove a total of 405 miles, driving twice as far on Saturday as on Sunday. How far did Claudia travel each day?
Copy and complete the statement with <, > or =. FG ? HD D. H2 H E G F
Exercises 49-51, the ratio of two side lengths for the triangle is given. Solve for the variable. AB: BC is 3:8. A P в 24 C
Exercises 49-51, the ratio of two side lengths for the triangle is given. Solve for the variable. AB: BC is 3:4. A 60 B 10q+15 C
Exercises 49-51, the ratio of two side lengths for the triangle is given. Solve for the variable. AB: BC is 5:9. A 15 B 5r+ 2 C
The ratio of the measures of two supplementary angles is 5:3. Find the measures of the angles.
The ratio of the measure of an exterior angle of a triangle to the measure of the adjacent interior angle is 1:4. Is the triangle acute or obtuse? Explain how you found your answer.
The gear ratio of two gears is the ratio of the number of teeth of the larger gear to the number of teeth of the smaller gear. In a set of three gears, the ratio of Gear A to Gear B is equal to the ratio of Gear B to Gear C. Gear A has 36 teeth and Gear C has 16 teeth. How many teeth does Gear B
Without knowing its side lengths, can you determine the ratio of the perimeter of a square to the length of one of its sides? Explain.
The area of a rectangle is 4320 square inches. The ratio of the width to the length is 5:6. Find the length and the width.
The points (-3, 2), (1, 1), and (x, 0) are collinear. Use slopes to write a proportion to find the value of x.
The perimeter of a room is 66 feet. The ratio of its length to its width is 6:5. You want to tile the floor with 12 inch square tiles. Find the length and width of the room, and the area of the floor. How many tiles will you need? The tiles cost $1.98 each. What is the total cost to tile the floor?
International standard paper sizes are commonly used all over the world. The various sizes all have the same width-to- length ratios. Two sizes of paper are shown, called A3 and A2. The distance labeled x is the geometric mean of 297 mm and 594 mm. Find the value of x. A3 297 mm x mm A2 x mm 594 mm
The batting average of a baseball player is the ratio of the number of hits to the number of official at-bats. In 2004, Johnny Damon of the Boston Red Sox had 621 official at-bats and a batting average of .304. Use the proportion to find the number of hits made by Johnny Damon. Number of
The larvae of the Mother-of-Pearl moth is the fastest moving caterpillar. It can run at a speed of 15 inches per second. When threatened, it can curl itself up and roll away 40 times faster than it can run. How fast can it run in miles per hour? How fast can it roll?
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