Solved: ?After you work on each problem, record your answer on the answer sheet provided

Refer to the line for Exercises 1 - 4 If LM = 8 and LP = 22, find MP.

Refer to the line for Exercises 1 - 4 If NP = 6 and PQ = 10, find NQ.

Refer to the line for Exercises 1 - 4 If LN = 16 and LM = 8, find MN.

Refer to the line for Exercises 1 - 4 If PR = 12 and LP = 22, find LR.

Refer to the figure at the right. If m?AOB = 55 and m?BOC = 32, find m?AOC.

Refer to the figure at the right. Find m?DOB if m?AOB = 55 and m?AOD = 130.

Refer to the figure at the right. If m?EOD = 50 and m?COE = 93, find m?DOC.

If c is the hypotenuse, find each missing measure. Round to the nearest tenth, if necessary. a = 9, b = 12, c = ?

If c is the hypotenuse, find each missing measure. Round to the nearest tenth, if necessary. a = ?, b = 15, c = 17

If c is the hypotenuse, find each missing measure. Round to the nearest tenth, if necessary. a = 40, b = ?, c = 41

If c is the hypotenuse, find each missing measure. Round to the nearest tenth, if necessary. a = 8, b = 14, c = ?

Given a point A, what is the locus of points in a plane that are two feet from point A? a. Cut a square piece of cardboard with a side length of 3 inches. Cut a piece of string about 30 inches in length. Poke a small hole in the center of the cardboard. Label the small hole A. Thread the string through the hole. Tie a knot in the string and cut it so that it measures two feet from point A to the end of the string. b. Tape the cardboard square securely to the floor with the knot under the cardboard. Pull the string to its full length along the floor. Mark the floor at the end of the string with a colored dot. The dot will represent a point that is two feet from point A. c. Pick the string up and extend it in another direction. Mark the floor at the end of the string with another colored dot. Repeat this process until you have about 20 dots on the floor. d. Imagine placing more and more dots on the floor. Describe this set of points. e. Describe the locus of points in a plane at a given distance from a fixed point on the plane.

Given two parallel lines, what is the locus of points in a plane that are equidistant from the two parallel lines? a. Tape two meter sticks to the floor so that they are parallel and at least one foot apart. Make sure that the ends of the meter sticks are even. b. Cut a piece of string the length of the distance between the meter sticks. To be accurate, stretch the string between the same markings on the sticks, say between 10 centimeters on each stick. c. Find and mark the midpoint of the piece of string. Lay the string between the same markings on the two sticks. Place a colored dot on the floor at the midpoint of the string. Pick up the string and mark about 10 additional points with colored dots. d. Imagine placing more and more dots. Describe this set of points. e. Describe the locus of points in a plane that are equidistant from the two parallel lines.

Use ?P to determine whether each statement is true or false. \(\overline{N L} \text { and } \overline{M K}\) are diameters of ?P. (Lessons 11-1 & 11-2) \(\overline{J P}\) is a radius. Equation Transcription: Text Transcription: overline NL and overline MK overline JP

Use ?P to determine whether each statement is true or false. \(\overline{N L} \text { and } \overline{M K}\) are diameters of ?P. (Lessons 11-1 & 11-2) \(\overline{J K}\) is a radius. Equation Transcription: Text Transcription: overline NL and overline MK overline JK

Use ?P to determine whether each statement is true or false. \(\overline{N L} \text { and } \overline{M K}\) are diameters of ?P. (Lessons 11-1 & 11-2) \(\overline{N P}\) is a chord. Equation Transcription: Text Transcription: overline NL and overline MK overline NP

Use ?P to determine whether each statement is true or false. \(\overline{N L} \text { and } \overline{M K}\) are diameters of ?P. (Lessons 11-1 & 11-2) NL = 2(NP) Equation Transcription: Text Transcription: overline NL and overline MK

Use ?P to determine whether each statement is true or false. \(\overline{N L} \text { and } \overline{M K}\) are diameters of ?P. (Lessons 11-1 & 11-2) \(m\overarc{J M} = 54\) Equation Transcription: Text Transcription: overline NL and overline MK

Use ?P to determine whether each statement is true or false. \(\overline{N L} \text { and } \overline{M K}\) are diameters of ?P. (Lessons 11-1 & 11-2) \(m\overarc{K L} = 336\) Equation Transcription: Text Transcription: overline NL and overline MK

Use ?P to determine whether each statement is true or false. \(\overline{N L} \text { and } \overline{M K}\) are diameters of ?P. (Lessons 11-1 & 11-2) \(m\overarc{N M} = 24\) Equation Transcription: Text Transcription: overline NL and overline MK

Use ?P to determine whether each statement is true or false. \(\overline{N L} \text { and } \overline{M K}\) are diameters of ?P. (Lessons 11-1 & 11-2) \(m\overarc{M L} = 126\) Equation Transcription: Text Transcription: overline NL and overline MK

Use ?P to determine whether each statement is true or false. \(\overline{N L} \text { and } \overline{M K}\) are diameters of ?P. (Lessons 11-1 & 11-2) m?JPK = 102 Equation Transcription: Text Transcription: overline NL and overline MK

The hands of a clock form central angles. What is the approximate measure of the central angle at 6:00? at 12:05? at 6:05? (Lesson 11–2)

Use ?K to complete the statement \(\overarc{P Q}\ \cong\) __________. (Lesson 11-3)

In ?K, find x if PQ = 3x - 5 and QR = 2x + 4. (Lesson 11-4)

In ?Q, QC = 13 and QT = 5. Find CB. (Lesson 11-3)

Find the circumference of ?Q to the nearest tenth. (Lesson 11-5)

Find the radius of a circle whose circumference is 144.5 units. (Lesson 11-5)

State whether each sentence is true or false. If false, replace the underlined word(s) to make a true statement. A central angle is an angle whose vertex is at the center of the circle and whose sides intersect the circle.

State whether each sentence is true or false. If false, replace the underlined word(s) to make a true statement. A chord that contains the center of a circle is called a radius.

State whether each sentence is true or false. If false, replace the underlined word(s) to make a true statement. The diameter of a circle is the distance around the circle.

State whether each sentence is true or false. If false, replace the underlined word(s) to make a true statement. Pi is the ratio of the circumference of a circle to its diameter.

State whether each sentence is true or false. If false, replace the underlined word(s) to make a true statement. A sector is a segment whose endpoints are the center of the circle and a point on the circle.

State whether each sentence is true or false. If false, replace the underlined word(s) to make a true statement. A chord is a segment whose endpoints are on the circle.

State whether each sentence is true or false. If false, replace the underlined word(s) to make a true statement. A semicircle is an arc whose endpoints are on the diameter of a circle.

State whether each sentence is true or false. If false, replace the underlined word(s) to make a true statement. A sector of a circle is a region bounded by a central angle and its corresponding center.

State whether each sentence is true or false. If false, replace the underlined word(s) to make a true statement. A major arc is the part of the circle in the exterior of the central angle.

State whether each sentence is true or false. If false, replace the underlined word(s) to make a true statement. Two circles are inscribed if they lie in the same plane, have the same center, and have radii of different lengths.

Refer to the circle at the left to complete each statement in Exercises 11–13. \(\overline{K N}\) is a __________ of ?M. Equation Transcription: Text Transcription: overline KN

Refer to the circle at the left to complete each statement in Exercises 11–13. A diameter of ?M is __________.

Refer to the circle at the left to complete each statement in Exercises 11–13. \(\overline{J M}, \overline{K M}, \text { and } \overline{L M}\) are ________ of ?M. Equation Transcription: Text Transcription: overline JM, overline KM, and overline LM

Find the measure of diameter \(\overline{A C}\) if BP = x and AC = 5x - 6. Equation Transcription: Text Transcription: overline AC

Find each measure in ?T if \(\overline{P Q}\) is a diameter. \(m\overarc{P Q S}\) Equation Transcription: Text Transcription: overline PQ

Find each measure in ?T if \(\overline{P Q}\) is a diameter. m?QTS Equation Transcription: Text Transcription: overline PQ

Find each measure in ?T if \(\overline{P Q}\) is a diameter. \(m\overarc{P S}\) Equation Transcription: Text Transcription: overline PQ

B is the center of two circles with radii \(\overline{B C} \text { and } \overline{B D}\). If m?DBJ = 113 and \(\overline{K L} \text { and } \overline{J M}\) and are diameters, find each measure. \(m\overarc{C K}\) Equation Transcription: Text Transcription: overline BC and overline BD overline KL and overline JM

B is the center of two circles with radii \(\overline{B C} \text { and } \overline{B D}\). If m?DBJ = 113 and \(\overline{K L} \text { and } \overline{J M}\) and are diameters, find each measure. \(m\overarc{D M J}\) Equation Transcription: Text Transcription: overline BC and overline BD overline KL and overline JM

B is the center of two circles with radii \(\overline{B C} \text { and } \overline{B D}\). If m?DBJ = 113 and \(\overline{K L} \text { and } \overline{J M}\) and are diameters, find each measure. \(m\overarc{C L}\) Equation Transcription: Text Transcription: overline BC and overline BD overline KL and overline JM

Use ?X to complete each statement. If AC = 12, then CD = __________.

Use ?X to complete each statement. If DX = 18 and AC = 48, then CX = _________.

Use ?X to complete each statement. In ?L, \(\overline{M Q} \cong \overline{N Q}\). If MN = 16 and LN = 10, find LQ. Equation Transcription: ? Text Transcription: overline MQ cong overline NQ

In ?C, TU = 12x - 7 and TV = 3x + 20. Find x.

Use ?C to determine whether each statement is true or false. \(\overline{A C} \cong \overline{B C}\) Equation Transcription: ? Text Transcription: overline AC cong overline BC

Use ?C to determine whether each statement is true or false. \(\overline{A U} \cong \overline{B V}\) Equation Transcription: ? Text Transcription: overline AU cong overline BV

Use ?C to determine whether each statement is true or false. ?ATB ? ?ACB

Use ?C to determine whether each statement is true or false. \(\overline{B T} \cong \overline{B V}\) Equation Transcription: ? Text Transcription: overline BT cong overline BV

Find the circumference of each circle described to the nearest tenth. d = 32 ft

Find the circumference of each circle described to the nearest tenth. d = 7 km

Find the circumference of each circle described to the nearest tenth. r = 22 in.

Find the radius of the circle to the nearest tenth for each circumference given. 46 yd

Find the radius of the circle to the nearest tenth for each circumference given. 17.3 cm

Find the radius of the circle to the nearest tenth for each circumference given. 325 m

Find the area of each circle described to the nearest hundredth. d = 50 in.

Find the area of each circle described to the nearest hundredth. C = 33.3 m

Find the area of each circle described to the nearest hundredth. r = 15.6 ft

Find the area of the shaded region in ?M to the nearest hundredth.

Suppose a bicycle wheel has 30 spokes evenly spaced and numbered consecutively from 1 through 30. Find the measure of the central angle formed by spokes 1 and 14. (Lesson 11–2)

Swimmers often use kickboards when they want to concentrate on their kicking. Find the width of the kickboard shown below. (Lesson 11–5)

At a school function, a fruit pizza was served that had a diameter of 14 inches and was cut into 10 equal-sized wedges. By the end of the evening, 7 consecutive wedges had been eaten. Find the area of the remaining pizza to the nearest square inch. (Lesson 11–6)

Define inscribed polygon and give an example of one in everyday life.

Explain how the perimeter of a polygon and the circumference of a circle are related.

Use ?L to complete each statement. \(\overline{M P}\) is a _________ of ?L. Equation Transcription: Text Transcription: overline MP

Use ?L to complete each statement. If MN = 16, then LN = ________.

Use ?L to complete each statement. All radii of a circle are _______.

Find each measure of ?L if m?NLQ = 79. \(m\overarc{N Q}\)

Find each measure of ?L if m?NLQ = 79. \(m\overarc{M N Q}\)

Find each measure of ?L if m?NLQ = 79. \(m\overarc{M L Q}\)

Use ?W to complete each statement. If XZ = 18, then YZ = _______.

Use ?W to complete each statement. If WY = 12 and XY = 16, then XW = ________.

Use ?W to complete each statement. If XZ = 16 and WY = 6, then WZ = _____________.

In ?B, CD = 62. Find AE.

Find the circumference of each circle described to the nearest tenth. r = 14.3 in.

Find the circumference of each circle described to the nearest tenth. d = 33 m

Find the circumference of each circle described to the nearest tenth. r = 27 ft

Find the area of each circle to the nearest hundredth.

Find the area of each circle to the nearest hundredth.

Find the area of each circle to the nearest hundredth.

In ?S, JL = 12x + 2 and MP = 3x + 20. Find x.

Eloy is preparing to plant flowers in his circular garden. The garden has a diameter of 4 meters and is divided into six equal portions. If he intends to fill the shaded portions of the garden with marigolds, what is the area that will remain for other types of flowers?

After you work on each problem, record your answer on the answer sheet provided or on a sheet of paper. The table shows how many sit-ups Luis can do after a number of weeks. How many situps will he be able to do after 7 weeks? (Algebra Review) A. 28 B. 34 C. 40 D. 42

After you work on each problem, record your answer on the answer sheet provided or on a sheet of paper. In the triangle at the right, what is m?A? (Lesson 5-2) A. 9 B. 18 C. 36 D. 54

After you work on each problem, record your answer on the answer sheet provided or on a sheet of paper. Which equation best describes the graph? (Lesson 4–6) A. y - 1 = 3(x - 4) B. y - 4 = 3(x - 1) C. y = -3x + 1 D. \(y=\frac{1}{3} x+1\) Equation Transcription: Text Transcription: y=1/3 x +1

After you work on each problem, record your answer on the answer sheet provided or on a sheet of paper. For all integers Z, suppose = Z2 (if Z is odd), and = \(\sqrt{Z}\) (if Z is even). What is the value of (Algebra Review) A. 9 B. 15 C. 39 D. 45 E. 87 Equation Transcription: Text Transcription: sqrtZ

A plumber charges $75 for the first 30 minutes of each house call plus $2 for each additional minute. She charged Mr. Adams $113. For how long did the plumber work? (Algebra Review) A. 38 min B. 44 min C. 49 min D. 59 min E. 64 min

Which equation represents the relationship shown in the table? (Algebra Review) A. y = 3x - 2 B. y = 2x + 1 C. y = 2x2 - x D. y = x2 - 2

What is m?PQR? (Kessib 7-2) A. 40° B. 55° C. 70° D. 110°

If 10% of x is 20% of 100, what is x? (Percent Review) A. 200 B. 100 C. 20 D. 5

After you work on each problem, record your answer on the answer sheet provided or on a sheet of paper. What number should come next in this sequence: \(\frac{17}{4}, \frac{31}{8}, \frac{7}{2}, \frac{25}{8}, \ldots ?\) (Algebra Review) Equation Transcription: Text Transcription: 17/4 , 31/8 , 7/2 , 25/8 , . . . ?

After you work on each problem, record your answer on the answer sheet provided or on a sheet of paper. Part A: Graph the ordered pairs (speed, distance) on a coordinate plane. (Algebra Review) Part B: Describe how stopping distance is related to speed.