Geometry Questions

3 List examples of factors that determine the amount in a defined contribution plan

Quadrilateral IJKL is similar to quadrilateral MNOP Find the measure of side OP Round your answer to the nearest tenth if necessary Figures are not drawn to scale 11 K L 17 H 3 M 7 52 P

12 Solve for x 17x 23 BREKENINGE 81 74

Triangle JKL is similar to triangle MNO Find the measure of side OM Round your answer to the nearest tenth if necessary Figures are not drawn to scale 13 54 M

Triangle MNO is similar to triangle PQR Find the measure of side QR Round your answer to the nearest tenth if necessary 10 N 13 M R Q 40 P

Severely obese persons BMI 2 40 have a greatly increased risk of diabetes heart disease and many other ailments that are very expensive to treat The table gives the percent of Americans are severely obese from the year 1990 and projected to 2030 1990 2000 2010 2015 2020 2025 2030 Year Severely Obese 0 8 2 2 4 9 6 4 7 9 9 5 11 1 a Find an exponential function that models the data with x equal to the number of years after 1990 and y equal to the percent Round your numerical values to three decimal places y b Does the unrounded model overestimate or underestimate the percent of severely obese Americans in 2020 The model overestimates the projected total The model underestimates the projected total c According to the unrounded model in what year are 8 1 of Americans expected to be severely obese

Strategic Management relates a study in economies of scale in the paper industry the data is found in the following table 50 60 73 82 90 215 230 260 1 8 1 6 1 5 1 25 0 95 0 60 0 50 0 54 Here x is the weighted average machine size in tons per hour and y is the employee hours per ton A Determine the best fitting line using least squares and the square of the correlation coefficient The best fitting line is W x The square of the correlation coefficient is 2 B Is there an advantage to using a large machine Pick the correct answer The larger the machine the more the employee hours The smaller the machine the less the employee hours The larger the machine the employee hours do not change The larger the machine the less employee hours C What does this model predict the weighted average machine size will be is the employee hours per ton is 1 00 Round to the nearest ton The machine will make tans for 1 employon bour

The table shows the total personal income in the United States in billions of dollars for selected years from 1960 and projected to 2024 Year Income billions Year Income billions 1960 411 5 2008 12 100 7 1970 838 8 14 728 6 1980 19 129 6 22 685 1 2307 9 4878 6 8429 7 2014 2018 2024 1990 2000 a These data can be modeled by an exponential function Write the equation of this function with x as the number of years past 1960 and y as the total personal income in billiom Round your numerical values to three decimal places y b Does the unrounded model overestimate or underestimate the total personal income given in the table for 2018 The model overestimates the projected total The model underestimates the projected total c Graphically determine the year the model predicts total personal income will reach 63 trillion

Which statements are true about polygons Select three options Students if you believe you earned partial credit on this problem please reach out to your teacher All sides and all angles in a polygon are congruent The sides of a polygon are segments that intersect exactly two other segments one at each endpoint In a polygon all segments with a common endpoint are collinear If all of the sides of a convex polygon are extended none of them will contain any points that are inside the pol The extension of at least one side or diagonal in a concave polygon will contain a point that is inside the polygo

An interior angle of a regular polygon has a measure of 135 What type of polygon is it hexagon octagon nonagon decagon

CFA Circles Parts Area Circumference Central Ang QUESTIONS Item 1 Item 2 Item 3 Item 4 7 Sample image ba 3 72 W S

5 Sample image background with overlaid text fields 5 0 P N K L 67 M mKL mLON mOM mKNL mNL

11 Find the value of x in the following diagram E H X 15 3x 1 Q G F

arts Area Circumference Central Ang Sample image background with overlaid text fields

10 Sample image background with overlaid text fields 13 e M 10r 45 R r 1 N

4 Find area of circle with a radius of 3 14 cm Use 3 14 A 30 95 cm2 B 54 cm C 34 56 cm2 D 41 32 cm

Find the area and circumference of the circle below Please use 3 14 for pi Please round all answers to the nearest hundredth Diameter Area 13 in Circumference in in in

The diameter of a circle is 8 centimeters What is the area Area Use 3 14 cm

or questions 9 15 give each answer as a fraction in simplest form Natalie randomly answered the last three true or false questions on her math quiz What is the probability that she got at least two correct 10 Two dice are rolled What is the probability that the sum on the two dice is less than 6

Out of 75 students 45 are taking Algebra 2 and 32 are taking Chemistry Sixteen students are taking both Algebra 2 and Chemistry If a student is chosen at random what is the probability that the student is taking Algebra 2 but not Chemistry

This is a 2 page document 1 Point X is randomly placed on AE below Find each probability C 12 a P X is on DE A 8 d P X is not on AB 4 B 0 4 8 1 12 b P X is on BC e P X is not on BD 16 20 D 24 E 28 32 c P X is on AD f P X is on AB or CD Draw line segments for questions 2 and 3 to represent the problem Then solve 2 Jill is running laps on path around a circular lake It takes her 18 minutes to compete a single lap Her friend Gina s house is along the lake If Gina steps outside to watch for Jill what is the probability that she will wait at least 5 minutes before Jill passes her house

A simple random sample of 400 adults in 2020 was conducted It was found that 250 of these adults watched the Super Bowl in 2020 A simple random sample of 500 adults in 2021 was conducted It was found the 350 of these adults watched the Super Bowl in 2021 Q8 4 points Check the R N I conditions for both samples

3 Lavon takes a commuter train into the city each day The train stops every 30 minutes to let passengers on and his ride to the city is 12 minutes long If he arrives at the stop c 3 00 PM what is the probability he will get to the city by 3 20 PM A point in the figure is chosen at random Find the probability that the point lies in the shaded region 4 17 m 8m 5 DGH 14 in

10 If a point is chosen at random in the solid below what is the probability that it lies within the hemisphere 11 If a point in the cylinder below is chosen at random what is the probabilitiy that it lies within the shaded region T10in1 14 in

5 Sample image background with overlaid text fields 10 y M 8x 10x 9 X 21x 12 mWX mYH mYN mVXV

MNOP is a parallelogram Select the true statements used to prove that opposite angles of a parallelogram are congruent Select two M Show your work here P B Y 8 N 28 28 because same side interior angles are congruent when a transversal crosses parallel lines O La Z8 because alternate interior angles are congruent when a transversal crosses parallel lines AMNP AOPN by the angle side angle congruence criterion AMNPAOPN by the side angle side congruence criterion Za Zy because same side interior angles are congruent

KLMN is a rectangle Select the statements used to prove that diagonals are congruent Select two N K Show your work here O AKLN ALKM by the side angle side criterion OAKLN ALMN by the side angle side criterion OAKLNAKLM by the angle side angle criterion Adjacent sides of a parallelogram are congruent M L

Select the statement used to prove that KL MN K N 24 Show your work here 15 15 L OAKLO AMNO by the ASA criterion O AKLNAMNL by the SAS criterion 24 OAKLO AMNO by the SAS criterion M

Select the statement used to prove that AB A D 12 Show your work here 30 E 30 B O AABD ACDB by the ASA criterion O AABE ACDE by the ASA criterion O AABD ACDB by the SAS criterion 12 O AABE ACDE by the SAS criterion G

542 Find the approximate area of each sector with the given measure x in a circle with diameter d or radius r 12 x 25 d 13 mm 14 x 205 r 4 in 13 x 73 r 8 2 ft 15 x 315 d 27 m

Find the exact area of each sector 9 A 6 5 m 160 C B 10 13 B Pr A 20 di siw W cightful C 9 in od sbirr 11 B 14 ft C 220 A

Find each area occupied by the sprouts between the concentric circles Use 3 14 for T 18 4 in 150 6 in 19 15 cm 100 5 cm

Circle W is shown with a radius of 30 units 3 2 1 7 6 5 4 3 2 1 T Y Y Y TO O 2 3 4 8 9 1 2 3 4 5 6 7 8 9 10 11 12 13 14 H W 10 Circle W is dilated using a scale factor of 2 5 centered at the origin What i

A right circular cylinder is to be inscribed into a sphere of radius 9 Find the dimensions of the cylinder which has maximum volume What is the volume

Proots Practice CONGRUENT TRIANGLE PROOFS practice Given PQI RS SP II QR Prove ARSP APQR Statements LPQRS 2 SPQR 3 RPS PRQ and PRS RPQ 4RP PR 5 ARSP APOR Reasons Given Given Reflexive L 2 3 5 Prop

Congruent Triangle Proofs Practice 2 CONGRUENT TRIANGLE PROOFS Given XV XZ V Z Prove W ZY Statements XVEXZ 2 2V 2Z 3 5 W LY 4 Reasons Given 12 Given 3 Vertical angles are congruent 4 N 5 C PCT C

1 How many midsegments does a triangle have A trapezoid 2 What is the perimeter of ATOP P 8 T 20 0 10 3 x y 60 40 4 z 65 Constructio for Exercises

5 What is the perimeter of ATEN T 9 U 23 N 8 6 m P In 73 36 cm 48 cm 771 510 7 q 13 24

Match each angle with an equivalent angle in Polar Form 5 3 Choose 5 5 Choose 5 4 Choose

Using the graph below point B is represented by 90 0

Using the graph below point A is represented by m U D

Which of the following represents a polar coordinate Select one is the angle measured from the x axis moving counterclockwise O a 0 r Where r is the distance from the origin and O b r Where r is the distance from the origin and is the angle measured from the x axis moving counterclockwise O c 0 r Where r is is the sum of the x and y rectangular coordinates and is the angle from the x axis in a clockwise direction O d r Where r is is the sum of the x and y rectangular coordinates and is the angle from the x axis in a clockwise direction

Which coordinate s represent the same point as 3 in a polar coordinate system Select one or more O a 3 7 b 3 5 OC 3 7 O d 3 13

Each large cookie is 5 6 oz and each small cookie is 4 9 oz What is the total weight of 2 large cookies and 1 small cookie 2 1 9 oz 3 1 9 oz 2 oz 3 oz

An aquarium has exhibits that feature different marine animals 5 8 of the staff are male 5 12 of the staff works part time at the aquarium What fraction of the staff is female

In a piping system the HGL is located a distance p y above the datum of the pipe Select one O True O False

Which expressions represent the statement divide the difference of 27 and 3 by the difference of 16 and 4 3 27 3 16 4 27 3 16 4 27 3 16 4 0 27 3 16 4 27 16 4 3 16 4

Robert says the expressions 2 3X7 and 2 3 x 7 have the same value Is Robert correct Explain your answer and evaluate each expression

Zoe is 16 years old Her brother Luke is 3 years more than half her age Write a numerical expression for Luke s age Show your work

Ella babysits 3 hours each day for 4 days On the fifth day she babysits for 6 hours Which expression represents how many hours Ella babysits altogeth 4 3 6 4x 3 6 3x 4 6 3x4 6