Geometry Questions

D Question 2 Which of the following is the graph of the given e f x 10 8 LO 6 42

Solve for x Round to the nearest tenth if necessary 69 I K 40 X J

64 Check in Cakulate the length of each line segment in the problems below The length is Name The length is Block

no ma what as you drag the quadrilateral around What to measure AC 8 9 AE 4 45 EC 4 45 Not Always True All four sides are congruent Diagonals bisect interior angles Sum of all angles equals 360 Diagonal lengths Diagonals intersect at a right angle BD 6 74 After exploring for a while determine which of the following properties are always true by dragging them to the right B BE 3 37 ED 3 37 Always True Opposite angles are congruent Opposite sides are congruent Opposite sides are parallel

0 2023 38 27 13 5 13 5 12 49 39 03 4 10 The dependent variable is the number of made The independent variable is the number of made The regression equation is y Round to hundredths id 678624 make about hundredths The y intercept tells us that if an athlete had endorsements they would expect to x million dollars round to

Determine if the sequence below is arithmetic or geometric and determine the common difference ratio in simplest form 3 8 13

Ilhes in the picture below B A E D Rays EA EB E E Lines ED BE Rays EA EC Lines ED BE EA EC Rays EA EC Lines ED BE Rays EA EB E E DE BE Lines ED BE

8 Find the values of x and y MGSE9 12 G C 2 A C a x 34 y 21 b x 180 y 42 B c x 90 y 21 d x 90 y 42

9 Solve for x and use x to find the value of mAB MGSE9 12 G C 2 B A 2x 5 17 a x 11 mAB 34 b x 25 5 mAB 46 C D LC 2x 5 LD 17 C x 17 mAB 46 d x 11 mAB 17

the table below list the weight and sodium content for one slice of a 12 inch medium cheese pizza One slice represents 1 8 of the total pizza Wangs g Sodium mg 520 540 550 240 Brand Pizza Hut Pan Pizza Pizza Hut Thin N Crispy Pizza Hut Hand Tossed Domino s Thin Crust Domino s Deep Dish Domino s Hand Tossed Papa John s Original Crust Papa John s Pan Crust a b s c y c d S Weight 95 e n 75 92 55 95 82 1 Weight is the X sodium is the 4 2 Plot the ordered pairs on the properly labeled grid 3 Find each of the following values X 94 146 530 360 510 750 variable and variable 850 960 750 6 For the point 55 240 what is the residual 94 000 760 650 600 650 50 450 350 500 2 5 200 be prestavby X Sy Noki r 5 Find the predicted amount of sodium for a pizza weighing 100 grams sepert Swa Ring Berg F donarmiarknuddaterin autorow A Re Fax Foto E 55 65 75 95 95 200 115 125 135 145 155 165 175 4 Find the least squares regression line and the correlation coefficient Then draw the line on the scatterplot Equation 5 13x 32 79 7 If pepperoni is added to each slice then the weight increases by 40 grams and the sodium content increases by 140 milligrams Which of the values a b r would change

How do you use theorems about triangles to solve problems EXTRA PRACTICE for 2 03 2 06

UV TW Find c U 2 T 2 S 6c 2 W 17c 13

Triangle K is a scaled copy of triangle J What is the value of m W Write the number only 8 73 28 Triangle J 17 4 14 Triangle K

prob 12 5 pts Graph the following data and determine the order and rate consta k Find lineur 0 vs 1st vs 2nd Time s Concentration M 0 5 10 15 20 25 30 35 to find 2 50 1 92 1 55 1 31 1 13 0 992 0 887 0 799

Find the distance between each pair of points 11 2 8 5 4

State if each triangle is a right triangle 9 41 ft 5 ft 4 ft

In Figure 6 1 the consumer surplus is equal to AJ 400 B 300 C 200 D 100 24 If the good in Figure 6 1 were free A consumer surplus would equal 450 and consumer expenditure would be 50 B consumer surplus and consumer expenditure would both be maximized C consumer surplus and consumer expenditure would both be zero D consumer surplus would be maximized but consumer expenditure would be impossible to calculate 25 As price falls along a particular demand curve consumer surplus A decreases rapidly B decreases by a very small amount C remains constant D increases 26 A market equilibrium will generate the largest possible surplus when A there are no external benefits and external costs B there is perfect competition C perfect information is available D all of the above 27 Buyers and sellers acting in their own best interest generate outcomes that are in society s best in when all of the following are true EXCEPT A buyers and sellers are informed B markets are efficient C there are no external benefits D there are no external costs AC AC

4 Determine co S in the cases shown in Figs c and d In d S consists of the four dots Figure c Figure d

YA 2 0 2 y f x 4 6 f where does F have a maximum value A minimum value g What is the average value of f x on 2 9 8 16 The graph of fis shown above If F x f 1 dt evaluate the following using areas to help you a F 0 b F 2 C F 5 d F 7 F 5 e F 9 X

Attempts 4 Measuring GDP The following table shows data on consumption investments exports Imports and government expenditures for the United States in 2017 as published by the Bureau of Economic Analysis All figures are in billions of dollars Average 1 Fill in the missing cells in the table to calculate GDP using the expenditure approach Consumption C Investment I Exports X Imports M Net Exports of Goods and Services Government Purchases G Gross Domestic Product GDP Data Billions of dollars 13 321 4 3 368 0 2 350 2 2 928 6 3 374 4

8 Two mountain peaks R and T can be observed from an alpine meadow To estimate the straight line distance between the peaks members of a hiking party measure out 500 m baseline AB in the meadow where A B R and T are in the same plane on the same side of the mountain The angles from A and B to the peaks are then measured and ZBAR 155 ZBAT 33 ZABT 145 and LABR 21 Determine the distance RT to the nearest 10m

7 Determine if each relationship is a proportional or nonproportional situation Explain your reasoning Assume that the tables represent linear relationships 3 t 15d 5 y x X 10 8 6 4 2 2 O 5 12 Practice and Problem 2 4 y 11 26 61 6 8 10 2 101 8 8 6 4 2 O 2 4 m 0 75d 2 6 r b 1 4 6 8 10 X 4 10 13 y 36 90 117

The radius of a cone can be found using the formular 3V where V stands for the th volume of the cone and h stands for the height Ifr 4 h 8 and is 3 14 find the volume V Round the answer to the nearest hundredths place O3 365 41 cubic units O 133 97 cubic units O 66 99 cubic units O 33 49 cubic units

5 Find all solutions of the equation in the interval 0 27 Write your answer in radian in terms of sinz 3 tanz 3 0

Solve for x Assume that lines which appear to be diameters are actual diameters 4 121 75x 59x 46

A student wants to know how far above the ground the top of a leaning flagpole is At high noon when the sun is almost directly overhead the shadow cast by the pole is 10 ft long The student holds a plumb bob with a string 2 ft long up to the flagpole and determines that the point of the plumb bob touches the ground 13 in from the base of the flagpole How far above the ground is the top of the pole 12 ft 13 in 10 ft

Attempts 6 Limitations of GDP Average 2 Although GDP is a reasonably good measure of a nation s output it does not necessarily include all transactions and production for that nation Which of the following scenarios are either not accounted for or measured inaccurately by either the income or the expenditure methods of calculating GDP for the United States Check all that apply The leisure time enjoyed by households The value of babysitting services when the babysitter is paid in cash and the transaction isn t reported to the government The loss of enjoyment people incur when scenic land is converted to commercial use Funds spent by city governments to renovate their buildings When a U S company purchases and imports automotive parts from Canada to use to build cars within the United States this purchase increases the component of GDP while also net exports by the same amount Therefore the purchase of automotive parts from Canada causes in US GDP

Finish the proof of the Law of Sines in the case where the points A and D are on opposite sides of BC C A b D a 3 C Figure 3 10 B

Find the arc lengths of the curve r t 11 sin 3t 2 10 cos 3t 9 cos 3t for Ost Answer exactly or round to 3 decimal places

20 Which of the following expressions is equivalent to x 7 A B C V 1 x 7 V x 7 5 x 7 4 14 H D x 7 4

22 A triangle has the base and height show x 12 X 4 What is the area of the triangle

24 What is the simplified radical form of the expression x 3 7

12 Write 8x2 With rational exponents A 8x B 8 x 813 x D2 x3 Nal a None of the answer choices are correct

21 Simplify the Radical A 6x 0 10 B 2z 15 C 4x5 15 6z 10 D V60x10

The graph f x x is shifted down 4 and to the right 1 and reflected over the x axis Which of the follo function of the resulting transformation h x x 1 4 Bh x x 1 4 h x x 1 4 Dh x x 1 4

19 Multiply and then simplify the followin 5 10 50 B 25 2 C 5 2 D 2 5 A

18 Which statement is true about the polynomial equation 4x2 2x 8 0 A This equation has exactly two zeros and both are real numbers B This equation has exactly two zeros and both are complex numbers C This equation has exactly one zero which is a real number D This equation has exactly one zero which is a complex number

5 Olivia solves an equation using the quadratic formula One step of her work is shown 4 16 4 1 6 2 1 Which quadratic equation could this formula represent y x 4x 6 y x 4x 6 y 6x 4x 1 Dy 6x 4x 1

17 Simplify 2 5 4 2 7 3 A 6 7 9 8 B 8 10 14 15 4 20 6 35 D10 8 10 21

Given the radical equation x 6 x 0 which statement is true regarding the solution to the equation A There are infinitely many solutions to the equation B D There are two solutions to the equation There is one solution to the equation There is no solution to the equation T

15 A function is shown A Which expression is equivalent to g x in the equation f g x x 5 x 12 5 x 12 c 5x 12 B a 12 5 D 5x 12

13 What is the inverse of the function y 4x 5 1 5 4 5 4 A X B y 1 DY 4 X y 4x 5 1 4x 5

9 Use long division or synthetic division to divide the given polynomial x 17x 32 x 5 A x 5x 8 00 00 B x 5x 8 x r 52 8 Dx 10x 2 8 x 5 8 x 5 18 x 5

2 Which statement about the function f x x 4 x 3 x 18 As z 0 f z oo and the function has zeros at z 18 4 3 As zoo f z oo and the function has zeros at 18 B C D is correct 4 3 As I 0 f 1 oo and the function has zeros at z 18 4 3 As z o f z 00 and the function has zeros at z 18 4 3

3 Which of these is the equivalent form of the expression x 216 A x 6 x 6x 36 B x 6 x 6x 36 x 6 x 6x 36 D x 6 x 6x 36

6 Solve the equation 3 26 20 6 2 8 B 6 8 8

7 A The function g x shown in the graph is a tranformation of the parent function f x x y C 987654321 8 g x x 1 2 4 B g x x 1 4 g x x 4 1 6 5 3 2 1 11 4 10 9 8 7 6 5 4 3 2 10 What is the equation of the function 2 3 23 x g x

4 What are the solutions to the equation 4x4 35x2 9 0 x 3i t A B C D x 91 1 x 3i 2 X 91 2

3 Find the solutions using the quadratic formula 4z 6x 18 x 3 2 x 2 3 X D X 6 3 6 3 2 2

Graph the parabola do not place any dots then fill in the blanks about the vertex any intercepts the domain and range Enter intercepts as ordered pairs aka points y z 2z Clear All Draw Vertex 4 y intercept z intercepts Domain So 10 9 to h 8 7 6 104 5 4 10 9 8 7 6 5 4 3 2 1 1 3 2 the t 1 251 4 6 7 8 9 104 1 2 3 4 5 6 7 8 9 10 Range Equation of the Axis of Symmetry