Geometry Questions

The line given by y x 1 is dilated by a scale factor centered at the origin The image of the line after dilation is given by y x 5 What is the scale factor of the dilation

Solve the equation Enter your answers as a comma separated list Use n as an arbitrary integer Enter your response in radians tan x 3 0 X

11 A pyramid is 9 feet tall Each side of the square base has a length of 14 feet Find the volume of the pyramid

3 i e the triangle Round decimal answers 3 63 A 29 C

7 A radio tower is supported by two wires that are 130 yards long and attached to the ground 50 yards from the base of the tower How far from the ground are the wires attached to the tower Hint Pythagorean Theorem 8 Find the sum of the measures of the angles of a six sided polygon Then find the measure of an of an angle of a regular six sided polygon

3 5 m 21 m Show Transcribed Text Please find the shaded area The dotted line is the shaded area And

AS MATH 2 i e the triangle Round decimal answers 23 25 A 14 B

1 Determine a plane motion which will take AABC to AA B C B A B

5 0 OR ANALYSIS Describe the error in finding m C A 55 5 B 6 sin C sin 55 6 5 6 sin 55 5 sin C m C79 4 he Law of Cosines should have been used he lengths of the sides in the denominators should be switc ross multiplication should have been used to obtain the solu he inverse sine function should have been used to obtain th

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Consult the figure To find the length of the span of a proposed ski lift from A to B a surveyor measures the angle DAB to be 25 and then walks off a distance of L 1900 feet to C and measures the angle ACB to be 15 What is the distance from A to B eccos The distance from A to B is approximately feet Do not round until the final answer Then round to two decimal places as needed GEZER B D 25 A

The magnitudes and directions of two forces acting at a point P are given in a and b Approximate the magnitude and direction of the resultant vector Round your answers to the nearest whole numb a 80 lb N75 W b 50 lb S5 E magnitude direction S Xlb X W

10 The area of a circle is 244 cm Determine the length of the diameter to the nearest whole number

14 Find the area of the shaded sector 49 6 175x 4 112x 9 27x 2 m m m m 30

12 In the diagram below of circle 0 mABC 260 What is mLABC Label it on the diagram below A C 0 B

13 In the circle C below mzBCA x 12 and mAB 3x 24 What is the m AFB a 15 b 30 c 48 B A antwollol odsto C E F

11 5 20 4x 5 85 40 Solve for x

From Lesson 9 06 Probability Two Way Tables The two way table shows the medal count for the top performing countries in the 2012 Summer Olympics Silver Bronze 29 29 27 23 26 32 17 19 99 103 United States China Russia Great Britain Total Gold 46 38 24 29 137 Which statement is true The probability that a randomly selected silver medal was awarded to Great Britain is 17 99 Total 104 88 82 65 339 The probability that a randomly selected gold medal was awarded to China is 88 137 TH The probability that a randomly selected medal won by Russia was a bronze medal is ability that or furthe United St cib dalis 104

A fast food restaurant kept information about the drinks that were ordered along with the different sized kids meals as shown in the table Milk Regular Kids Meal Large Kids Meal Total 55 71 Juice Box 22 60 Soda 63 86 Total 156 280 Which statements are true Select three options Milk was requested for 16 of the large sized meal orders Sixty three of the orders of soda came with a regular sized meal Soda was requested for 280 of the kids meal orders

From Lesson 9 05 Conditional Probability Lori downloaded all the pictures she took at Rita s wedding into a single computer folder She took 86 of the 134 pictures with her camera and the remainder of them with her cell phone Of the pictures Lori took with her cell phone one out of every five was blurry To the nearest whole percent what is the probability that when she opens a random picture from the computer folder it will be a blurry picture she took with her cell phone 7 13 31

From Lesson 9 05 Conditional Probability Use the Venn diagram to calculate probabilities P A A 15 16 31 P A B 2 1 1 P B 6 Which probability is correct B 10 4 U

Under the best conditions a sprout has a 40 probability of blooming If two sprouts are selected at random what is the probability that both will bloom under the best conditions 16 24 40

In a standard deck of cards there are four suits spades clubs hearts and diamonds Each suit has one each of 13 cards ace king queen jack 2 3 4 5 6 7 8 9 and 10 If event A is choosing a king event B is choosing a heart and event C is choosing a jack which Venn diagram could represent this description C B 2 B B

A plane intersects the cylinder horizontally and is parallel to the base of the cylinder What is the shape of the cross section

From Lesson 9 03 Experimental or Theoretical Probability April is randomly choosing five CDs to bring in her car from the following 6 pop CDs 8 rock CDs and 10 R B What is the complement of April choosing five pop CDs choosing five CDs where none of them are pop choosing five CDs where not all of them are pop choosing five CDs where at least one of them is pop CDs where all of them are pop

Farid is at a music festival where several bands play at the same time There are 5 bands playing from 3 00 to 4 00 and 3 bands playing from 4 00 to 5 00 From 5 00 to 6 00 2 bands are playing Lastly there are 7 bands are playing from 6 00 to 7 00 Assuming Farid goes to see exactly one band every hour how many different sets of bands can Farid see at the music festival ways

Three out of seven students in the cafeteria line are chosen to answer survey questions How many different combinations of three students are possible 7C3 7 35 70 7 7 3 131

What are the corresponding parts of the figure L 37 in 32 N 100 49 in 26 in 48 M

From Lesson 9 02 Finding Outcomes Fiona chooses three towels from a group of five to pack in her beach bag for herself and her two brothers Let th five towels be represented by A B C D and E If Fiona chooses towel A for herself which statements about the possible outcomes for her brothers towels are true Select three options There are 10 possible ways to choose the group of towels The combination BC is not the same as CB She has four choices for the first brother s towel and three choices for the second brother s towel ABC ABD ABE ACD ACE and ADE are the possible outcomes If Fiona did not choose towel A for herself there would be more outcomes

From Lesson 9 02 Finding Outcomes Holly chooses seven out of nine plants for the front of her house with the remaining plants to be used on the side of the ho If order does not matter in how many ways can she choose the plants for the front of the house 7 9 21

From Lesson 9 01 Sets and Venn Diagrams The Venn diagram shows the number of patients seen at a pediatrician s office in one week for colds C ear infections E and allergies A U 10 16 28 44 15 3 How many patients total were seen for only a cold only an ear infection and only allergies

From Lesson 9 01 Sets and Venn Diagrams The universal set is the set of rational numbers S is the set of integers Which represents Sc xlx is a real number xlx is a rational number mber

What are the corresponding parts of the fig L 17 m 108 12 m K M 98 121 39 m 41 m 34

Jon an aspiring meteorologist spent the past few weekends studying the clouds He took detailed notes on the types of clouds observed and the time of day they were observed Morning Afternoon Evening Stratocumulus 6 4 2 Stratus 4 3 3 What is the probability that a randomly selected cloud was marked as stratus or was not observed in the afternoon Simplify any fractions

Number 1 From Lesson 9 01 Sets and Venn Diagrams U C x B Which statements are true about x Select three options xeBUC XEBNC XEAUC XEANC XFA

Amelia works at a coffee shop on weekends Every now and then a customer will order a hot tea and ask Amelia to surprise them with the flavor The teas are categorized by flavor and caffeine level Caffeine free Caffeinated Mint Fruity Chai 3 5 7 8 4 4 What is the probability that a randomly selected tea is fruity or is not caffeine free Simplify any fractions

A skating rink attendant monitored the number of injuries at the rink over the past year He tracked the ages of those injured and the kinds of skates worn during injury In line skates Roller skates Minors Adults Seniors 3 3 3 4 4 5 What is the probability that a randomly selected injured skater was an adult or was not wearing roller skates Simplify any fractions

After growing tired of squinting while driving Felix went shopping for a pair of sunglasses He tried on glasses with different frames and lenses Polarized lenses Regular lenses Cat eye frames Browline frames Aviator frames 2 4 12 11 7 What is the probability that a randomly selected pair of sunglasses has aviator frames or browline frames Simplify any fractions

Find the given anglezy 23 Show Transcribed Text

6 What is the length of the bolded arc 18 5 ft b 72 6 ft 9 2 ft d 36 3 ft a C el ssdw 21 36km bus 24x 30A ON 14 5 ft 73 to to svecesib sii

What are the corresponding parts 19 mm 43 0

The owner of a sushi restaurant looked over some recent orders He noted how many yellowtail and salmon rolls had been ordered Yellowtail Salmon Not spicy Spicy 2 4 2 3 What is the probability that a randomly selected sushi roll contains yellowtail and is not spicy Simplify any fractions

7 In circle K above the area of sector JKL 94 in Determine m JKL to the nearest tenth of a degree A 94 in SPA K 14 ic

Determine the measure of arc DGF 75 105 210 50 KED REVIEW 7 4x D H 8x 31 E F

1 Which of the following is a radius A QT B PS C QS D QP 2 Which of the following is a diameter A QT B PS C QS D QP 3 Which of the following is a chord that is not a diameter A QT B PS C QS D QP P Q R T

Which rule explains why these triangles S P Q 11 T

What are the corresponding parts of the figu P 40 21 m 115 26 m 108 970 Q 8 m

5 In circle A below AC 1 in and m BAD 70 What is the area of the aded sector a b C d 18T 11 18T 7 11T 36 in 36T 7 in in in Central angle sector areer OPTAPE 29 S D B dauder 70 AI C

Dalton is shopping for a new bicycle He is most interested in color and type of tires Red Green Road bike tires Mountain bike tires 5 4 6 5 What is the probability that a randomly selected bike is green or has road bike tires Simplify any fractions

3 In the diagram above of circle 0 m AOC 3x 5 and m ABC x 15 What is the mAC 5 b 20 C 25 d 40 80 a e A B