2D Geometry Questions and Answers

21 Jessica owns a store that sells only laptops and Last week her store sold 90 laptops and 210 tal This week the sales in number of units of lap increased by 50 percent and the sales in numb of units of tablets increased by 30 percent By percentage did total sales in units in Jessica s increase A 20 percent B 25 percent C 36 percent D 80 percent

In order to determine the effect that caffeinated beverage C would have on sleep researchers conducted a study From a large population of people without sleep disorders 500 subjects were randomly selected Half the subjects were randomly selected to consume beverage C and the rest did not consume beverage C The results of the study showed that the subjects who consumed beverage C slept less than those who did not consume beverage C Based on the design and results of the study which of the following statements is the best conclusion A Beverage C will cause more loss in sleep than all other caffeinated beverages B Beverage C will cause a substantial loss in sleep C Beverage C is likely to reduce the amount of sleep of people without sleep disorders D Beverage C will reduce sleep of anyone who consumes it The sum of four numbers is 1 764 One of the numbers n is 40 more than the sum of the other hree numbers What is the value of n 287 0735 1 029

8 What is the slope of the line in the xy plane that 8 passes through the points 5 and 1 3 A B C N AIW WIA N D 2

When function h is graphed in the xy plane it has x intercepts at 4 2 and 4 Which of the following could define h A h x x 4 x 2 x 4 B h x x 4 x 2 x 4 C h x x 4 x 2 D h x x 2 x 4

David has a mobile data plan for which the monthly fee is 20 00 and the data usage fee is 2 50 per gigabyte Which of the following functions expresses David s cost in dollars for a month in which he uses g gigabytes of data A fig 22 50g B f g 20g 2 50 C f g 20 250g D f g 20 2 50g BER 3 In order to must be a Jim can c believes t ups each number complete A 7y B 7y C 14y D 14

Question 5 1 point Which transformation would take Figure A to Figure B a b d 40 9 A b 5 4 1 3 4 Rotation of 90 degrees clockwise Reflection over y x Rotation of 180 degrees Rotation of 270 degrees clockwise B

1 In the diagram below MN 5 Determine the length of LM and LN N 30 60 JM

In the diagram ATEC AZRH Find the value of x 30 T 25 Answer A 34 B 33 C 28 X AR 24 C Z 28 20 H

Consider the 2 implicitly defined curves and 5x 2y x xy 0 3 2x 5y y xy 0 Plot these 2 functions on the same graph Notice that it appears as though they intersect at a right angle at the origin For this discussion post you will figure out using Calculus whether or not these 2 functions actually intersect at a right angle You do not need to include a graph in your post but you must explain your answer fully

Graph the equation using the x and y interce x y 7

A newspaper offers delivery for up to a 40 mile radius of their location If this is represented on a graph with the newspaper located at the coordinates 0 0 what is the equation that represents the delivery area Select one a x y 6400 b x y 1600 c x y 1600 O d x2 y 6400

X X 7 17 Solve for x Round to the nearest tenth 26

Find the height h of the roof Round to the nearest WHOLE NUMBER h 5 5 m WIL 6 3 m HIE TIM 3 1 m X

Find the value of x Round to the nearest WHOLE NUMBER 12 X 8

Find the value of x Round to the nearest WHOLE NUMBER X 4 y 6

Find the value of x Round to the nearest WHOLE NUMBER X

E LES 3 triangles and 3 rectangul AREA 8 50 56 AREA 4 25 28 4 25 28 28 tz 56 e rectangle Friangle area of the trian If of the TRIANGLES out Figure D Draw a diagonal from one vertex to the pposite vertex Cut along the line and label the triangles A and FIGURE D Count the number of squares in the triangles for the easurements below 14 14 X8 a base b height 8 c approximatel fumber of squares How are the base and height related to the total number of quares Trace the outline of triangle A in the space above then lay iangle B over the outline What do you notice How is this onnected to the formula

Question 9 Multiple Choice Worth 1 points 02 06 MC The figure shows square KLMN Which of the follow L

Joseph is standing 12 feet from a mirror lying on the ground and his eyes are 5 feet above the ground F 100 ft The line of sight reflection on the mirror makes 21 congruent to 22 If the building is 264 feet from the mirror which is closest to the height of the building G 110 ft H 130 ft J 145 ft 1121 F G 264

E 15 Part 1 of 2 BC PT7 Part 2 of 2 36 67 45 B 44 a Find the lengths of BC AC DB DC ED EC and EA cm AC cm DB cm DC 18 cm b Find the measures of LAEC and LCAE cm ED cm EC cm and EA

10 5 Congruent by the SSS postulate Congruent by the SAS postulate Congruent by the AAS postulate Congruent by the ASA postulate The triangles are not congruent 5 0 5 10 5

If AXYZ ARST find the value of x X 5r 3 X type your answer M J Y 1 point If AJKLAMKN find the value of x K 60 12 x 1 N 3x 2 Z 20 40 L R 3x 2 S

r Triangles Solving for sides 20 27 15 A 36 B 2 Bos B 16 21 12 C 35 20 E 2 26 W N 3 A

Find the point of intersection for the lines v t 3 2 5 t 2 3 3 and w u 3 1 2 u 5 1 8 X y Z

B NA NA NA NG A If triangle RST and triangle XYZ are similar which of these equations must be true C D ST RT YZ XZ A B 11 C 11 11 11 SR XZ RT XZ RS YZ N S AA T R

Find the inverse of each graph and table then solve for the question Find f 0 Find f 4 Towa dnih nollanu

Consider this example Your task In the diagram AGHM AH value of x 10 H 15 K 12 27 X

1 point Fact When shapes are similar their corresponding Your task C

Classic Probability What is the approximate Probability of drawing a Red Face Card from a standard deck of shuffled cards 23 1 19 2 15 4 11 5 A VE A 32 ta att alla at 32 IT THAT THAT T 195

Classic Probability Jessica doesn t have any idea of what the answer is on one of her multiple choice questions like this problem The problem has 4 possible choices After she guesses the answer she realized that she has a 25 chance of getting that question correct What type of probability did she use Subjective Probability Empirical Probability Theoretical Probability Authentic Probability

A teacher asked his students which types of smart phones that they have owned in the past and constructed the following VENN diagram with the data 5 Android 9 7 How many students would be in the set iPhone e the complement of the set iPhone IPhone 5

gles There are a few can follow your thinking 16 3 0 90 180 A 10 by the triangle sum theorem 51 928 90 180 34 H 151 928 180 151 928 151 928 30 0 28 072 e that has a 40 angle and a hypotenuse of 10 cm

A class was surveyed about what sports they have played in a league before Create a Venn Diagram that shows the correct quantities in each region based on the following chart about which sports students are playing Tennis Basketball Track 1 Tennis 1 8 1 1 Tennis to 1 Basketball 1 Tennis 2 3 Trock 0 s 2 Track 2 Basketball 3 2 5 Track 7 Basketball 5 Name Angela Bella Calvin Dan Emma Felipe Gina Hannah Ivy James Lisa Matt

A teacher asked her students which of them went to Stone Mountain Park and which of them went to Six Flags over the summer break She created a chart Name Stone Mountain Park Six Flags Park Stone FO Mountain Which VENN diagram shows the correct quantities in each region based on the chart above Stone Mountain Flags FOR Stone Mountain Six Flagt 2 SIX Allison Ben Cassie David Elite Stx Flags Felix Gerald Haley Ivan John Kada

6 Error Analysis Michael and Samiyah were working on homework together and came across a question where they had different work Below is the question and their work Whose work do you agree with for this problem and why Determine the missing side length for the triangle below using the best method Michael s Work a b c 7 b 10 49 b 100 b 51 b 51 Samiyah s Work 7 is the shortest side so 7 x in our 45 45 90 ratio The missing side is 7 units 10

5 In an isosceles right triangle they hypotenuse is 7 find the lengths of the legs Draw a visual first

8 Consider r t costi sintj t 8 k Determine all points on the graph of the function for which the tangent vector is orthogonal to the position vector

6 Use the osculating circle in the graph below to estimate the curvature at the indicated point 2 512 P D 1 1 2 0 1 2 1 312 2

The graph of a sine function is given below Determine the amplitude period and midline Write the equation Hint Type pi for W

Bonus Solve for x Leave your answer as a simplified radical 4 points X 12

Triangle ADC is similar to triangle J Solve for q b 10 C B 24 28 A b L 5 14

Sara will use 7 cups of apples to make 4 batches of applesauce Decide whether the expression shows the number of cups of apples in one batch 7divided by 4 True False

20 points Which of the following situations can be represented by 14 5 Renee has 14 feet of ribbon that she will cut into 5 pieces of equal length Michael has 14 packs of trading cards with 5 cards in each pack Logan opens 5 bags of trail mix which she will split equally into 14 bowls Patrick takes 5 oranges from a bag containing 14 oranges Tim walks 14 blocks from the library to a friend s house and then walks another 5 blocks to home Arianna pours 5 equal servings of lemonade from a bottle containing 14 ounces 000

75 C 24 cm B Figure 2 2 14pts Using Figure 2 above find the following a Name the central angle b Name the Inscribed angle c What is the measure of the Minor Arc d What is the measure of if the Maior Aro

Graph the function f x 2x 2 Plot four points on the graph of the function the rightmost point and three additional pol 12 10 12 10 2 10 12 10 10 12 X

When graphing y sec x the graph opens up on the interval with a of y

2 Graph the curve with the given parameterization X 4 0

Choose the statement that is NOT true Select one a The graph of y tan x has a maximum of b The absolute value of the amplitude is always the maximu The graph of y cos x intersects the x axis at d The graph of y csc x is defined on the interval 2

When graphing y sin x over the interval 21 2 the y coordinate of the beginning of the period is Numerical answer Round to the nearest tenth if necessary

TC Which inverse functions are equal to 4 Select one or more a arcsin 3 b arctan1 C arcsin 2 O d arctan V3