Write (22, 33) 36 1 1 75% as a reduced 1 6 fraction.1Then 5 5 find the number of chairs that were 36 occupied. She then mentally calculated 10% of $20 and got the answer $2. . . R Use logical reasoning, 18, 28, 32, 36, 46, 68, 78, Radius (radii), 141142, 190 99, 112, 122, 132, 136, 141, 145, 174, 178, 182, Range, 266267, 300, 308, 313 191, 225, 231, 235, 239, 244, 254, 276, 285, Rates, 122126 289, 310, 333, 337, 349, 353, 358, 375, 385, reducing before multiplying, 493496 390, 395, 431, 441, 452, 456, 460, 465, 479, Ratio boxes, 456458, 528529, 548550 484, 493, 513, 517, 538, 548, 557, 573, 582, Ratios 597, 612, 626 as comparisons, 494 Work backwards, 78, 285, 289, 342, 399, 404, converting to decimals, 385389 408, 413, 436, 497, 587 defined, 122, 431, 494 Write a number sentence or equation, 18, 87, 117, equivalent, 432, 442 191, 205, 216, 221, 259, 276, 280, 295, 306, writing, 385389 324, 329, 342, 346, 353, 452, 474, 503, 553, fractional form of, 122126 557, 566, 597, 606, 617, 621 problems involving totals, 528532 Products. This is sometimes called canceling. 8. How many chairs were in each row? Shade 2 3 of one rectangle and 1 greater than. . Which digit in 1.23 has the same place value as the Connect (34) 3 25 in 0.456?5 53 2 2 35 5 2 2 3 2 2 2 5 5 8 85 5 3 48 8 5 3 4 5 5 5 10. . . One play gained 6 yards. Written Practice Strengthening Concepts * 1. Number Sense: 6 250 2235 1 1 1 math 8 8 2 223 b. 1 6 3 6 8 6 8 84 4 5 4 5 5 3 3 3 p. What percent of this rectangle is shaded? The Mississippi River is (13) 3792 kilometers long. . . . 4 Early Finishers 222Misty 22 3is 2223 33going 3 555to 3335 777bake a fruit cake for her 7 sister. . Write a fraction 8 equal to 6 that has 12 as12the denominator. . . . . Predict Are the outcomes equally likely? Whereas bar graphs often display comparisons, line graphs often show how a measurement changes over time. . Does Stephanie have enough money to buy what she needs? 1 0.25 1 0.5 4 2 * 9. . Notice that per means for each and substitutes for the division sign. 4 619. 6 3 b. b. Does OD bisect BOE? 7 2 72 22 2 2 Example 4 1 4 Solve: f 5 5 Solution This problem is similar to f + 1 = 4. For Why do we each multiplication we write a partial product. 3What is3the sum of 3 and 3 3 3 and 3? The first terms in these ratios are 3 and 6. XY (71) WXis parallel to XY ? 4 2 441 (41) 6. . New Concept Increasing Knowledge In Lesson 55 we added and subtracted fractions that did not have common denominators. Multiplication The Zero Property of Multiplication tells us that 89 0 = 0. propiedad del cero en la multiplicacin (2) Glossary 665, 713 . w 24. (6 4) (8 5) * 4. capacidad (78) Cups, gallons, and liters are units of capacity. We see that when l is 5, m is 20. 9 9 12 2 2 10 3 1 4 42 com/ActivitiesC1 32 16 12 18 6 4 5 30 6 4 30 2 2 6 10 3 for a graphing 3 2 6 2 n 2 5 The unknown term of the 2 5 10 proportion is210. Lesson 81 421, 469 20 20 20 17 20 20 17 * 25. 24 22 (29, 38) 4 2 4 2 232 2 3 22 3 2 2 3 24.5 Estimate About 4 how many meters above the floor is the top of the (7) chalkboard? Example 1 Divide: 37.5 10 272 Saxon Math Course 1, 320 Twelve tiles can be arranged to form three different shapes of rectangles. 1 1 2$25.00 ? . . A dime is 10 of a dollar. . Draw a diagram to illustrate the problem. . Analyze of 3 List the first five 2multiples of 6 and the first five multiples of 8. What fraction of the teams points did Fong score? 3 cm + 2 cm + 3 cm + 2 cm = 10 cm Example 1 What is the perimeter of this triangle? 0.6 m 0.5 m (81) (81) 2 5 16. 22,422 32 (2) (2) 2 4 15. . 2) 3 5 15 451 3 5 1 134 231 3 12 21 2 22 8 88 1 885 88 15 8 451 5 14 1 4 1 4 8 8 1 5 greatest factor8 1 8 88 8 88 8 8 8 64 3 15. b. It is likely to rain. (1) 4. 104 3.75 33.75 75 b. 4 in. If Raidon $0.65 simply guesses, what is the chance that he will3 x 16 2 3 8guess the correct 1 pound 3 12 5 answer? 213 14. . Think of a whole number. A 0 1 2 3 Solution We see that point A represents a number greater than 2 but less than 3. . . 1620 1492 = d Step 3: We find the missing number by subtracting. Ribbon 1 2 costs $21000 3 4 a yard. What is 10 of 100%? We write .175 as 0.175. Number Sense: 368 15012 (1 0.2) 2 1 3 3 c. Number Sense: 250 + 99 d. Money: $15.00 + $7.50 1 e. Fractional Parts: 2 of 5 f. Number Sense: 20 40 g. Geometry: A rectangle has a width of 4 in. * 28. 36 36 493 493 (2) (2) Analyze Find each unknown number. The change in a stocks price number: 5. from $23.00 to $21.50 may be shown in a newspaper as 1.50. Lesson 60 311, 359 . How many nickels does Pilar have? Customary System, we use the units gallons (gal), quarts (qt), pints (pt), cups (c), and ounces (oz). 2, 0, 1 Example 2 Compare: 3 4 Visit www. . 1 1 1 (61) 8 84 42 2 3 (72)12 6 3 10 12 8 102 2 1 4 4 103 (102 1100) 103 102 1 10 14. (Hint: Write and complete a proportion using the ratio given above and your answer to a.) . y 6 5 D 4 C B 3 2 E 1 A x 6 5 4 3 2 1 0 1 2 3 4 5 6 1 F 2 G H 3 4 5 6 Name the points that have the following coordinates: a. Analyze If6 the product of 2 and 2 is subtracted 12 12 1 3 1 3 from18the sum of 2 and 4 2, 4 2 93 (Inv. 5(29) 3 3 4 6 5 * 30. How many wagons? 5 2 4 (56) 4 6 4 5 3 6 3 5 4 1 2 1 2 1 2 1 1 1 1 1 1 5 2 53 23 5 2 3 * 4. + 6 in. . Connect 100 100 1000 a stake into the 4 4 (23, 27) The radius4800is the ground, looped a 12-foot-long rope over it, 100 distance from and walked around the stake to mark off a the center of a circle. In three days 3.96 inches of + 0.3 rain fell. . This is a problem about separating. Other strategies might not be as effective for the illustrated problem. 25. LESSON 6 Fractional Parts Power Up Building Power facts Power Up C mental a. Half of the girls have brown hair. We will continue to use 3.14 for the approximation of . Name the reflection RST. What is the AB 1, 2, 10, 4, AC ratio 0 of ABthe radius BCof theACquarter to theBCdiameter of the quarter? 2 4 2 4 4 2 2 4 3 1 1 3 3 3 3 4 1 3 1 ( 2 14 ) 1 3 4 3 2 3 13 1 1 2 14 4 1 1 4 4 3 2 2 22 5 2 4 2 4 2 a 42 2a2 b4 3 2 25b 2 2 1 1 2 1 2 3 3 3 1 First 1 1 we 3 find3the number of14 s in 1. 4. What is the smallest number that is a multiple of both 6 and 9? . x 33 100 5 , 2x , 33 100 5, 2, 7 3 7 3 LESSON 94 Writing Fractions and Decimals as Percents, Part 2 Power Up Building Power 3 2 3 21 2 3 225 1 3 34 54 2 3 21 12 2 21 3 21 2 21 525 3 4122 5 24 2 5 x 33x 100 33 x5, , 100 33x , , 100 33 5, , 100 5, 2, facts Power Up K 7 7 3 7 3 2 7 53 2 3 2 mental a. (107) 5m 1 6 100 5m 4 11 m 19. 112, 117, 122, 127, 132, Rate 136, 141, 145, 150, 156 Lesson 24 . . How many students are in each part? Begin by drawing a flattened circle as shown at right. . . Lesson 78 407, 455 Describe how to perform the mental calculation. How many vertices does this pyramid have? . 5 * 11. What is the least common multiple of 3, 4, and 6? (5)(+20) 18 20 20 20 20 m c. d. 5 5 5 5 * 17. A common fraction is written with two numbers and a fraction bar. Leila N was traveling north when she turned 90 to the left. b. 6 1 12 6 3 11 100 6 3 111 5 1 12 3 5 5 12 3 5 5 (63) 5 6 1 53 5 (66) 3 5 5 3 13. 23 22 a1 2b 1 (99) 6 3 2 5 3 3 1 1 1 1 2 10. a. 22. Write an equation and solve the problem. Then draw another pair of parallel lines. 24. Seven plus 9 is 16, so we place a 6 in the sum. . 2 420 2 210 2 420 30. We use the four-step process to solve the problem. . 10apart mi on the map? $0.65 + $0.40 (1) Analyze Find each unknown number. . Number Sense: 465 + 250 c. Number Sense: 150 49 d. Money: $9.75 $3.50 1 600 e. Number Sense: Double 4 2. . Fractions (cont.) $20.00 10 16. What is the range of the weights? . part 2: We now turn to quantitative data. Written Practice Strengthening Concepts 1. 1 3 1 1 ? 1 4 3 2 2 4 2 Example 1 6 1 3 12 What fraction is 2 of 4? (75) 64 cm2 60 What percent of the houses on North Street does DeShawn deliver 8 cm 3t papers to? 1 2 prisma 22 triangular 11 1 1 99 99 22 1 12 4 2 4 100 50 (Inv. . List the factors of 23. 5 1 1 5 2 3 2 1 1 1 4 1 6 3 8 5 43 22 15 22 6 3 2 6 b. edges? . Lesson 47 249, 297 When 30 we 6 6 1 , we 6 530get 30 30 6 5 5 is 5 5 multiply 6 1by 2 5 30. 8 cm a. An equation is a mathematical sentence that uses the symbol = to show that two quantities are equal. Find the sum of 8 and 4. Estimate Round 36,428,591 to the nearest million. What is the area of the circle? (3, 0) 378 Saxon Math Course 1, 426 * 5. . Ratio Actual Count Boys 5 b Girls 4 g 4 g 2 f Total 9 27 9 27 7 175 9g = 4 27 g = 12 We find that there were 12 girls in the class. 236 4 fractions in f. 5 5 3 3 83 8 1 3 10 3 10 4.3 1? 536 Saxon Math Course 1, 584 . 12 1 2 2 4 4 2 2 2 2 1 1 3 3 3 3 6 31 6 1 1 3 3 3 4 3 2 3 3 61 3 2 16 3 6 6 2 1 2 2 11 2 1 3 1 1 4 4 4 3 4 3 3 3 4 3 3 4 4 4 4 44 2 4 2 4 1 24424 4 4 33 33 2 6 322 6 6 12 2 61 4 26 3 64 1 4 34 4 1 1 4 43 1 1 3 1 23 3 2 We simplified 1 2 4 by reducing 1 to and then converting 2 1 to 1 2 . Use digits to write that speed. What is the difference when the product of 2 and 2 is subtracted from 4 1 (12, 72) 2 1 2 the sum of 14 and 14? . If there are 2 13 boys and 15 girls in a classroom, then the ratio of boys to girls is 13 to 15. The width of the figure is 6 cm. M 5 9 4 5 8 9 4 8 28 2 3 8 100 b. What is the average of 4.2, 2.61, and 3.6? What is the reciprocal12of 67? (8) Perimeter is the 15 cm 4 1 distance around 5 3 a closed, flat 10 cm shape. 6 10. 4. Draw a rectangular prism. Two players compete on a singles court, and four players (two per team) compete on a doubles court. Number Sense: 4 75 c. Number Sense: 47 + 39 d. Number Sense: 1500 250 e. Calculation: $20.00 $14.50 1 f. Fractional Parts: 2 of 68 g. Measurement: How many yards are in 12 feet? 5 10 5 20 100%20 2 4 100% 1 2 4 1 4 20. 2, 33 100 , , 5, 2, , , (85) 7 x 3 7 x (68) 3 5 2 5 2 19. . . . We face mathematical problems in our daily lives, in our work, and in our efforts to advance our technological society. . and the base will be 33 feet long. Number Sense: 5 62 math b. (12) 23. * 5. 3 + +4 b. 90 Example 2 Andy and Barney were both facing north. 6 10 e. What are12 35 35 49 the first six multiples of 8? 6w means 6 2 times w. 14 14 46 824 6 6 24 14 84 check 6 824 unknown This division fact has three numbers. 2 4 4 4 4 21 83 3 8 (1 3 = 3) 3 1 1 32 34 8 1 3 (2 4 = 8) 8 3 31 2 4 1 1 3 3 3 42 3 1 3 1 1 1of 3 is 3 1 1 2 1 1 2 44 18 Model 4 1 We find 3 that2 4 8. Twenty-four of the three dozen cyclists rode mountain bikes. 2 8 9 8 9 3 3 3 3 3 35 3 5 3 (29) 9 8 9 8 (24) (29) 5 3 * 20. 164 Maintaining & Extending Areas of Rectangles Power Up Lesson 32 . 3 4 3 5 12 12 4 3 4 5 2 2 2 2. Copy the problem and fill in the missing digits. 27. 6. 2. 2 3 6 A bit is 1 of a dollar. 1 3 5 in. . Solution We will draw the two turns. A inches B yards C miles h. Select the appropriate unit for measuring the distance between two towns. We extend side b with a dashed line segment to divide the figure into two rectangles. . . (8) (+7) b. (64) bh 25. Verify When we mentally multiply 15 by 10, we can simply attach a (46) zero to 15 to make the product 150. When a transversal intersects parallel lines, as in this figure, corresponding angles have the same measure. 6 4.95 (decimal) 2 61.5 4.951,16. New Concept Increasing Knowledge Doris hung a stained-glass picture in front of her window to let the light shine through the design. . Make a table for this function using side lengths of 1, 2, 3, and 4 units. (113) * 25. . . h. Calculation: 2 2, 2, 2, 2, 2, 8, 8 problem It takes ten hens one week to lay fifty eggs. . . . 4. . Why? Each of the money 24 24 24 a b 2 24 24 2 24 2 2 24 2 2 2 quotient The answer to a division problem is the quotient. 7) position 5 of a point BC on a YZ 2 9 plane.2 3See also2 coordinate(s).AC coordinate 6 16 16 4 4 5 5 12 12 9 9 (0, 1) (2,3)4 12 4 (3.4,12 1 1 4 4 a , b 5.7) 2 2 1 1 5 20 20 5 9 9 3 3 3 3 2 2 4 4 10 10 2 2 ordered pairs 3 origin 4 1. 2 b. which angle is a right angle? The diameter of 3 one penny is 4 inch. Ninety percent of 30 trees are birch trees. . . a( 12 23 b) a 2 3 b 1 2 a2 3 b 3 (54) 223355 2 22 29. Formulate In 1787 Delaware became the first state. What is the measure of angle A? LESSON 110 Symmetry Power Up Building Power 3 1 1 1 1 2 24 24 23 22 a1 2b 1 6 3 2 5 3 facts Power Up M mental a. Investigation 11 579, 627 . 1 2 24 24 23 22 a1 2b 1 6 3 2 5 3 3 Fraction 1 Decimal 1 1 Percent 1 2 24 24 23 22 a1 2b 1 36 3 21 1 15 3 1 2 9. b. How much 8 money is 30% 100) (5 of 8 (6 $12.00? 27. a. . Check We determined that Tad counted 14 dots. . . See also Naming for decimal division, 276277 fractions of functions, 498499 multiplying by one, 221224, 290 for reducing fractions, 307 purpose of, 307 of sequences, 50 SOS memory aid, 295298 without common denominators, 285294 S mixed measures, 593 Sample, 55 mixed numbers, 306309 Samples, representative, 214 680 Saxon Math Course 1, 728 A a. 1 Verify 9 below forms9a proportion with Which ratio 7 ? . 8 n 2.5 b. (18, Remember that Inv. . What is the sum of the first seven positive odd numbers? He worked for (11) 33 years. . . . 2 3 Refer to this coordinate plane 2 to answer problems 28 and 29. 3 3 7 x x 3535 15 15 15 15 2222 77 55 33 c. 33 77 d. (+3)(15) * 14. Graph point W (2, 3), point X (1, 0), point Y (3, 0), and point Z (2, 3). 12 the answer as a 2 mixed number.3 3 6 10 4 2 8 3 3 6 4 8 4 12 8176 2 2. = 12 in. 2 * 16. . . . . n + 2 in. . If each van can carry 11 passengers, how many vans will they need? Use a ruler to find the length of the line segment below to the nearest (7, 17) sixteenth of an inch. . . . What was the median age of the children attending the luncheon? 1 3 4 1 4 (74) 4 4 4 4 42 4 28 4 10 86 9 10 6 * 8. This distance is about 30 times the diameter of Earth. . (13) 26. 29 29 8 8 232 232 Step 4: We review the question and write the answer. . (23, 65) 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21 2. . Calculate of area the circle by using 1 1 11 1gal 1 gal 1 ct 11 gal 1 gal ct 1 ct1 ct 3.14 for . If she went to sleep at 10:00 p.m., at what time did she get home? We can check our answer by subtracting the number of dots Tads fingers covered from the total number of dots on the number cube: 21 7 = 14 dots. . How much money is 21 of $6.54? * 27. . In this lesson we will use proportions to solve ratio word problems such as those in the following examples. . . . . V EACHCIRCLEISDRAWNTOTHECORRECTSIZE together and use manipulatives 7HYDOWEUSE A IN BCM C IN to see new connections in THELENGTHOFA RADIUSINSTEAD #ONCENTRICCIRCLESARECIRCLESWITHTHESAMECENTER!BULLS EYETARGETISAN OFADIAMETERTO DRAWACIRCLE EXAMPLEOFCONCENTRICCIRCLES mathematics. It has the same shape but not the same size as triangles I and II. a rectangle is a special kind of parallelogram, some parallelograms are rectangles. 12 in. . If we flip a coin twice and list the results of each flip in order, then there are four equally likely possible outcomes. . 2) 1 3 4 4 1 4 (26)4 4 23 4 2 2 (26) 2 2 2 2 4 2 3 3 1 1 64 n 11 5 1 19. . The chance that a tomato pizza will be ordered is 45%. Estimate Find the circumference of the circle. A E F 9 in. (99) * 25. a. b. Table and m (11) only one 33 1 hundred66 4 1 twenty-eight 4 knights 5 were 5 seated,2 2 how6 6 many empty 1 m1 4 m1 4 4 5 5 1 41 1were 5 5 31 1 5 problem. . . Number Sense: 4500 + 450 c. Calculation: 7 34 d. Calculation: $7.50 + $7.50 $75 1 e. Fractional 10 Parts: 4 of $20.00 $75 1 f. Number Sense: 10 4 g. Measurement: How many meters are in 200 centimeters? 5 5 6 30 30 330 30 3 5 2 630 30 6 56 1 30 5 3 530 6 30 1 30 5 630 30 530 5 1 30 5 30 1 5 30 6 305 6 1 30 5301 1 2 30 6 30 2 30 30 2 61 51 30 30 2 2 6 5 30 5 5 2 30 56 51 30 6 30 30 66 30 30 30 30 12 12 5 1 5 5 6 5 5 3066 30 30 5 30 1 6 5 30 3030 6 5 30 51 6 5 30 30 1 6 6 155 165 30 30 1 30 5 15The 6 fraction 30 130 6 5 equals 30 1. 4 What is the denominator of 24 ? . Instead 41 1 of 1 1 1 multiplying 6by the fraction 1 , we can 1 simply divide by 2. a of 2 b , 3, 2, 2 4 2 28 times 2 = 14 times 1 1 The 1 1 spinner16should 1 land in sector 1 a of 2 b the total , 3, 2, 1 2 1 B 1about 4 of 28 times. 0.042 0.235 0.24 0.3 Practice Set Write these numbers in simplified form: a. (+3)(+4) = +12 Reading Math positive positive = positive (+3)(+4) is the Notice that when we write (+3)(+4) there is no + or sign between the sets same as 3 4 or of parentheses. 5 ? 4 8 8 (19) A 23 B 33 C 43 7 3 3 1 8 7 3 1 8 3 15. We see that the calculator displays 3 as the solution. . A cubic inches B cubic feet C cubic miles Written Practice Strengthening Concepts 1. 28 students 4 112 students If the groups were equal, there would be 28 students in each classroom. 1 4 3 (8 1 (53) 2 4 4 2 4 2 4 4 3 2 2 )a 3 3 1 1 29 1 216 4 4 2b 2 12 2. 1 1 3 1113 2235 3 4 2 2 4 1 2 3 3 1 1 1 1 1 4 a 4 2 b We see 2 that we need 1 2 of the 2 pieces to make 1 4 4 1 4 . To indicate multiplication, we can use a times sign, a dot, or write the factors side by side without a sign. l. 2100 249 2144 2 m. 2100 15 249 n. 2144 264 m2 2100 249 o. . . . 33 252250 1 334 2 2 333 352 5326 25 5 2 1 2 3 5 22 3 23 235 232 25 23 5 3 35 3 25 1 2 2 2 3 * 26.3 3 3 3 21 12 1 21 1 1 1 1 11 3 4 1 1 1 11 2 3 2 5 2 3 22 (54) 35 22 2 53 222 235 32 255 2 22 23 252(54) 32 522 23 25 3 5 3 2 3 3 2 23 2 2 2 22 2 22 2 3 3 25 3 3 5 27. Pluto orbits 11 1 the 11 sun 11 at an average distance of about 11 five 22 billion, (12) 22 22111 11 11 112121 22 22 1 1 nine 1 2 hundred 12 2266 6 million6 kilometers. Each of 3 students ate of a new box8 of 6 cereal. . 10 6 20 3 3 3 15C1515 15 5 5D5 5 A 3 B4 4 4 4 2 2 2 2 101010 105 6 6 6 6 202020 20 2 b. To find the total number of students, we add the numbers in each classroom. . Model Three eighths of the 24 choir members were tenors. . The total land area of 2 12 the world is about fifty-seven million, 2 five 24 hundred (12) six thousand square 2 24 miles. 120 1 1 10 2 4 Solution We remove the percent sign and write 60 over 100. b. Analyze In groups, conduct an experiment by drawing two counters out of a bag containing 3 green counters and 3 white counters. Example 4 Reading Math This line graph shows Margies height in inches from her eighth On this line graph, birthday to her fourteenth birthday. Points A and B are VT equation A statement that uses the symbol = to show that two quantities are equal. . (10) . Lesson 4 27, 75 . . Solution The units are not the same. The dish contained exactly 85 raisins. Explain the method you used to arrive at your answer. . Arrange these numbers in order from least to greatest: 1 (17) 678 1 1 2 100 4030 6 1, 2, 0, 2, 4 * 21. Jim should get back $3.75. The volume of the can is about how many cubic centimeters? About half the grams are carbohydrates. . The perimeter of this isosceles triangle is 1 (8) 440 5 cm 5 cm 4 2 is the length20of its longest 18 cm. * 29. 7 ft (107) Show and explain your work to justify your 4 ft answer. 4 1 1 2 x 2.5 10 .5 10 2 1 b. centimeters. . Round 0.4287 to the hundredths place. (95) * 30. We change the problem before we divide. 1 13 31 1 12. c. Analyze The interior dimensions of a 4 in. . 8 9 49 and 3. Since 4 equals 21, we can 1 3 3 3 1 2 2 rename 4 1 2 3 as 24. Ramla bought a sheet of 100 stamps from the post office for $39. If a team lost 9 games and won 5 games, then what is the teams (23) win-loss ratio? . 80 23 210 3 23250 k. 210 23 250 210 210 2503l. (2) 10. 2nd base 3rd 1st base base home plate ft 90 7. Angles that are greater than right angles but less than a straight line are obtuse angles. 1 1 9 n 1 2 x3 4 y1 2 4 1 8 2 12 20 2, 0 11. . 1 We see that the answer is more than one but less than two. . 16 8 30. By attaching 2 a decimal 2 1.0 as decimal point and zero, we can perform the division and write the quotient as a 10 numbers decimal number. Their combined measures equal 8 inches, so n must equal 6 inches. Practice Set Quadrilateral ABCD is divided into two triangles by segment AC. Practice Set Model For each problem, draw a ratio box. . 4 6 5 10 6 New Concept Increasing Knowledge Math Language One way to determine whether two figures are congruent is to position one Two figures are figure on top of the other. . Jagdish collects 50 bags of clothing for a clothing drive and counts the number of items in each bag. 4 3 3 20 3 43 4 (59) 3 4 (63) 5 5 4(63) 5 84 8 4 8 3 2 3 2 2 3 2 31 3 9 w 12 3 2 14. Adding, we find that the perimeter of each triangle is 12 inches. . . . 1 5 4 of 100 of 100 3 5 5 4 34 Solution 3 1 3 5 4 4 of 100 4 of 100 A whole 3 We divide 100% 3 circle is 100%. . 5y = 1.25 (4, 38) (43) 11 2 23 3 3 33 3 10 10 m m 611 611 3 3 8 8542 523 3 3 33 12 * n13. Check your work and your answer. What is the area of the parallelogram? 3 2 4 3 * 29. 4 * 6. . * 2. Example 5 What number is the eighth multiple of 7? 90% (99) 2 1 1 2 31 41 5 3 5 13 1 2 1 321 3 21 142611 4 1 2 15 6 635 103 451 6 6 4 16 100 100 34110 12. True or false? Consider this sequence of equations: 1. Estimate Miguela wound a garden hose around a circular reel. This might reveal patterns or relationships that can help us solve the problem. The sales-tax rate (41, 51) was 8%. We display the data with a line plot. . the area of a circle? (9, 2 12) p. (3, 3 12) q. 84 Saxon Math Course 1, 132 . 1 2 8 4 2 8 11. Since the exterior angles of a triangle average 120, the interior angles must average 60. Without the parentheses, we would read each of these simply as the number 35. How Solution is it different? . Solution On a number line, these three numbers appear in order from least (on the left) to greatest (on the right). Number Sense: 500 + 40 math b. 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