Geometry Questions

82 Indefinite Integrals 12 If xe cos xdx ae b 1 x sin x xcos x d where d is constant of integration then 2a 2b 13 Let f x xinx 1 xcos x Inx sin x dx and f x 1 dx 14 Let f x x 3x 6 3 and f 1 inx dx In A is 15 If X e B 1 21 3 7 e 2 4 Then the value of cosf 21 is Then the value of f 2 is c where c is constant of integration then the value of A

K Based on a poll among adults who regret getting tattoos 27 say that they were too young when they got their tattoos Assume that nine adults who regret getting tattoos are randomly sele and find the indicated probability Complete parts a through d below a Find the probability that none of the selected adults say that they were too young to get tattoos 0 0589 Round to four decimal places as needed b Find the probability that exactly one of the selected adults says that he or she was too young to get tattoos 0 1960 Round to four decimal places as needed c Find the probability that the number of selected adults saying they were too young is 0 or 1 Round to four decimal places as needed

Given APHS ACNF find the values of x y and z 3y 1 36 H 6x 29 115 C

Given two integers a and b we can make a right triangle with these three side lengths 1 a b 2 a 6 3 2ab If this is a right triangle then the Pythagorean theorem should apply In other words a b 2ab a b Prove that all values of a and b make right triangles by showing that the above equation is an identity Period

Given AABC with AB BC and BD is the angle bisector of ZB Prove AABD ACBD D C In AABC is isoceles with AB BC BD BD BD bisects LABC LABD LCBD AABD ACBD

Below is the graph of a polynomial function with real coefficients All local extrema of the function are shown in the graph 10 8 b A 10 10 Use the graph to answer the following questions a Over which intervals is the function increasing Choose all that apply O 8 8 4 4 3 3 8 4 8 8 00 b At which x values does the function have local maxima If there is more than one value separate them with commas 0 c What is the sign of the function s leading coefficient Choose one d Which of the following is a possibility for the degree of the function Choose all ply 0 0 X

Which coordinates can be used to describe the point on the grid to the right Check all that apply 5 5 11 5 2 5 6 25 5 77 5 3 l 5x 6 7x 6 2n 3 w 4 3 2 k3 4 5m 3 to 117 a 0

1 GIVEN lm jlk mZ1 42 42 1 2 138 138 3 442 9 11 10 12 5 6 15 16 7 8 13 14 17 18 19 20 k m go Here 3 138 2 4 42 5

Amanda needs to find the height of a parallelogram The base is 1 inches long and the area is 4 square inches What is the height Step 2 of 2 Finally solve the problem by substituting in the appropriate values Round your answer to 2 decimal places if necessary 0 h b 1 01 5

Graph the line with slope 3 passing through the point 5 4 10 4 10 8 6 44 2 64 4 10

Compute the perimeter and area of the object given in the picture Angles that look like right angles are right angles 5 yd P A 6 yd 13 yd 4 yd yd yd Q

What is the value of x x 5 ft A B 91 13 ft 38 C P 8 ft 91 13 ft 38

Which criteria can be used to prove triangles are congruent Select all that apply A B C ASA AAS SAS SSA E HL

POINTS A T dnu z are cominear What is mzXYQ A X 60 10a 2 Y 120 c 122 D 135 5a 2 Z

e 158 B61 CLIC D122 it issalue of x that AJKLEAJML by AAS K Q 18 3x 47 Support the conclusion m A 15 D35 CC5 D85

What are the Next 3 Numbers 210 195 180 165 A 160 145 125 155 140 120 C150 135 120 D150 130 120 If Divisible by 16 then Iivisible 18 by A 18 336 C24 D54

If AD is a diameter and mZC 125 what is the measure of ZA C A B D mZA degrees Enter

Lloyd is standing near a power line pole as shown in the figure When his 2 head touches the support wire he is 2 feet from where the wire meets the ground A 8 feet If Lloyd is 5 feet tall how tall is the power line pole 17 ft 80 ft 15 ft 20 ft

Given ZA ZB Prove AABE ABCD What is the reason for 3 AA Vertical Angles SAS Reflexive Property R Statements 1 2 ZC ZC 3 AABE ABCD Reasons 1 Given 2 3

Find the value of x 45 B x 4 ft 87 40 9 ft C 7 ft P Q 87 40 9 ft R 46 D 23 13 5 ft 15 ft 64 F E Z 13 5 ft 64 Y X 239 4x 1 ft

hemisphere and a cylinder on a cylindrical base The dimensions are shown below The base is slightly wider than the globe with a diameter of 8cm and height of 1 8cm 3cm 2cm 1cm H Part A Find the volume of water in the snow globe Part B A package of silicon snowflakes containing approximately 500 snowflakes is put into the globe When the globe is shaken up what is the population density of the snowflakes in the water Part C If each globe is individually packaged into a box what are the minimum dimensions of the box Part D The globes are ordered by the retail store in cases of 24 Design a rectangular case to hold 24 globes packaged in individual boxes What is the minimum dimensions and volume of your case

In the figure four congruent isosceles triangular tiles are placed equidistant from a central square tile Which statement about the figure is correct O It has 2 lines of symmetry and a 45 angle of rotational symmetry O It has 2 lines of symmetry and a 90 angle of rotational symmetry O It has 4 lines of symmetry and a 45 angle of rotational symmetry OIt has 4 lines of symmetry and a 90 angle of rotational symmetry

10 11 10x 8y 20 3x y 8 5x 2y 5

A circle with center 7 2 and radius of 13 is graphed below WILII the circle 10 B Part A Write the equation of the circle Part B Prove algebraically that point B 12 14 is on the circle Part C The general form of the equation of circle A is x y 14x 4y 116 0 Liam was asked to confirm by completing the square that this is the equation of circle His work is below x y 14x 4y 116 0 1 move the constant x y 14x 4y 116 x 14x 49 y 4g 4 116 2 re arrange and x 7 y 2 116 complete the square 3 write in factored form Liam knows he has made a mistake because the radius is 13 and his equation is equal to 116 Explain his mistake and correct it Explain how he knew it should not equal

2 Find the area of parallelogram WXYZ Round to the nearest tenth F 27 in2 G 45 in H 63 6 in J 81 in W 45 X 6 in 7 5 in N End

The volume of a cone varies jointly as the height and the square of the radius Suppose a cone has the measurements V 32956 39 cubic yard r 37 yards and h 23 yards Step 2 of 2 Using the equation from the previous step find the volume of a cone that has a radius of 12 yards and a height of 40 yards Round you answer to two decimal places if necessary Answer 2 Points Keypa Keyboard Shorte

7 OL is tangent to circles P and M If LM 3 LN 4 OP x 2 and ON 8 determine the value of LO MP M4

1 In the diagram above of circle A FB and FC are tangent to circle A at B and Cres AD FD determine the length of FB in simplest radical form A B D

2 AB is tangent to circles P and Q below AP 6 BQ x BZ 4 and AZ x 5 What is the relationship between the two triangles How do you know Determine the perimeter of AAPZ a b 6inch N B Q

YOU DO ROUND 2 3 In the diagram above AC x CE 4 DE x 6 and DB 4 Determine the radical form A E 18

5 In the diagram above of circle C AB 6 and DC 6 Determine the area of ABDC in simplest radical form D x 0

4 In the diagram above QP is tangent to both circles where D 0 16 D 0 the length of D Q in simplest radical form 12 and OP 9 D D2 C P Di

6 Kimi wants to determine the radius of a circular pool without getting wet She is located at point K which is 4 feet from the pool and 12 feet from the point of tangency as shown in the accompanying diagram What is the radius of the pool a 16 ft b 20 ft c 32 ft d 4 10 ft K 4 ft 12 ft

YOU DU 1 In the diagram above AC and AD are tangent to circle B at points C and D respectively If CB 4 and AE 8 determine the length of AC in simplest radical form A E B

O A 1 a In circle O right triangle OBC is formed where mzB 90 If OC 13 BC 12 determine the length radius OB b If mLBOA 7x 3 and mBA 4x 9 find the value of x

onsider the function f x 4x 10x 8 tep 1 of 2 Find the vertex of the parabola defined by the given function Write the exact answer as an ordered pair Do not round mswer 2 Points

Consider the following function r x 4 1 1 2x Step 1 of 2 Find the slope and the y intercept Express the intercept as an ordered pair Simplify your answer Answer 2 Points 6x

Find the measure of minor arc TV S 36 T W 5x Write your answer as a whole number or a decimal

Find the axis of symmetry and vertex for the parabola y Provide your answer below x 2x 3

D D Classify the angle as acute right straight obtuse or none Ohoose the correct answer below

Identify a pair of corresponding angles in the diagram N

Probability of choosing an odd num 3 10 1 2

Probability of choosing an odd number

Probability of choosing a number less than 7 and an odo number

Probability of choosing a number less than 7 or an od number

Probability of choosing a number less than 7

Cards numbered 1 12 are placed in a bag A ball is chosen at random The probability of choosing a number less than 5 is 13 What is the probability of not choosing a number less than 5

Probability of choosing a number not less than 7

A bag contains 2 red 5 blue and 3 green balls A ball is chosen at random The probability of choosing a read ball is 15 What is the probability of not choosing a red ball

You choose a card at random from a standard deck of cards The probability of drawing a red king is 1 26 What is the probability of not drawing a red king