2D Geometry Questions and Answers

Between 12 00 PM and 1 00 PM cars arrive at a local bank s drive thru at the rate of 4 cars per hour 0 07 car per minute The formula below from probability can be used to determine the probability that a car will arrive withir minutes of 12 00 PM Use this information to answer the questions given below in parts a e F t 1 e 0 07t a What is the probability that a car will arrive within 20 minutes of 12 00 PM that is before 12 20 PM

Identify the points of intersection and sketch the graph of the solution to the system of inequalities y 2x y 2 3

Use the Pythagorean Theorem to determine the missing side of the following right triangle X 48 50

Organizational culture is important as it integrates members so that they know how to relate to one another and helps the organization adapt to the external environment True False

Question 6 Points 4 In what ratio does the point 2 4 divide the line joining the points 6 8 and 2 0 O 1 1 O 1 2 O 2 1 2 3

Find the midpoint of the line segment joining the points 6 2 and 10 2 O 0 1 O 8 3 O 8 0 O 5 2

on Posttest Question 8 Points 2 Find the midpoint between the two points P 12 6 and Q 4 2 O 6 2 8 2 O 8 4 O 2 4 RE R

Lesson Posttest Question 4 Points 2 The origin is the midpoint of a line segment with one end point 6 6 Find the other endpoint O 6 6 O 6 6 O 6 6 O 0 6

Question 2 Find the point that divides the line segment AB whose endpoints are 1 2 and 3 4 in the ratio 1 2 8 O 5 3 Points 2 O 5 8

A B H A Segment EH B Segment EF C Segment HG D ZH E ZK C 12 Using the figure above match the segments and angles with theirs most accurate description Some descriptions may be used more than once D 15 K G Choose Leg of a trapezoid Base angle of a trapezoid Angle of a parallelogram Base of a trapezoid Side of a parallelogram Choose Choose

X B 2 5 A 1 1 C 4 2 D 2 2 E 8 4 y In the xy plane above if point F not shown is placed so that triangle ABC is similar to triangle DFE which of the following could be the coordinates of the point F A 3 6 B 4 10 C 6 7

8 State the hypotheses for the multiple linear regression test Ho B B Bk 0 H at least one B is not 0 Using the accompanying Home Market Value data develop a multiple linear regression model for estimating the market value as a function of both the age and size of the house State the model and explain R2 Significance F and p values with an alpha of 0 05 Click the icon to view the Home Market Value data Points 0 63 of 5 State the model for predicting MarketValue as a function of Age and Size where Age is the age of the house and Size is the size of the house in square feet MarketValue 37 471 539 21 584 Age 31 317 Size Type integers or decimals rounded to three decimal places as needed The value of R2 indicates that indicates that of the variation in the Type integers or decimals rounded to three decimal places as I is explained by Save independent variables dependent variable 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 31 34 30 33 34 33 33 35 30 33 33 32 34 31 33 35 34 32 31 33 27 26 27 29 27 27 28 27 27 29 27 26 26 29 26 29 29 28 27 27 26 1822 1911 1873 1775 1926 2095 1719 1930 1775 1649 1902 1574 1767 2284 2475 1602 2179 1689 1692 1699 1507 1461 1639 1652 1460 1496 1525 1750 1547 1446 1476 1456 1424 1566 1691 1600 1860 1524 1546 1595 1698 88393 109546 95240 94024 102765 104103 89395 99587 91901 85292 102626 93173 86919 109475 112782 83189 113072 95140 82756 85589 80433 77312 77934 87887 79055 80074 90368 89532 81663 87724 86582 91652 78861 87398 91541 82412 87520 84458 99015 91521 94073

Given the graph of the following degree 4 polynomial function find all of the zeros and their multiplicities 7 6 5 4 3 4322655 1234567 H 2 34567

puting problems involving what is the difference between an approximate answer and an exact am BiU Font Family AA A FE 0

12 If the circumference of the following circle is 10 II inches find the perimeter of the square inches

1 www analyzemath com 2 If the lenght of S2 is 80 feet find the radius of the circle Radius S2 feet Exact Answer C 3 Find the Circumference of the circle aft Approximate Answer Round to 1 doni

5 For the function fill in the table of information and then graph two cycles of the transformed function using transformations of the parent function Choose an appropriate scale Amplitude Phase shift Max y cos x 7 1 Period Vertical shift Min

Find the area of a sector of a circle if the radius is 4 mm and the central angle is 30 Use 3 14 O 4 18 mm O 5 mm O 3 mm O 8 mm

A cake is 38 cm in diameter The cake is divided into 10 equal slices Find the arc length of each slice of cake Use 3 14 O 22 cm O 15 cm O 12 8 cm nts 3 O 11 9 cm

Find the area of a sector of a circle whose radius is 7 cm and whose central angle is 45 degrees Use pi 3 14 O 19 2 cm O 18 cm O 15 2 cm O 5 5 cm

Find the area of a sector of a circle whose diameter is 10 cm and whose central angle is 90 degrees O 19 cm O 7 86 cm O 7 07 cm O 19 6 cm

Question 2 Points 1 Find the area of a sector whose radius is 4 1 cm and whose centra angle is 34 Use 3 14 O 12 6 square cm 5 9 square cm 4 98 square cm O 2 square cm

Question 3 Points 2 Find the area of a sector of a circle given the radius is 19 in and whose central angle is 60 O 189 10 in O 945 09 in 840 06 in O 756 07 in

Question 2 Points 3 Find the equation of the circle that passes through the points 1 0 0 1 and 0 1 O x y 2x 1 O x y 2x 2y 1 O x y 2y 1 O x y 1

Question 10 Points 1 Write the standard equation of a circle with center 5 2 and radius 7 units O x 5 y 2 49 O x 2 y 5 49 O x 5 y 2 49 O x 25 2 y 5 49

Questio Find the equation of the circle that passes through the points 3 0 0 3 and 0 3 O x y 2y 9 O x y 9 O x y 9 O x y 2x 9

Question 7 Points 2 Find the equation of the circle with center 7 2 and radius 4 O x 7 y 4 2 O x 2 y 7 16 x 2 y 7 4 O x 7 y 2 16

Question 4 Points 2 Find the equation of the circle with center 1 2 and passing through the point 4 1 O x 1 y 2 18 O x 1 y 2 18 O x 1 y 2 18 O x 1 y 2 18

Question 1 Points 2 Find the equation of a circle whose center is 4 11 and radius is 5 units x y 8x 22y 132 0 x y 8x 22y 132 0 O x y 8x 22y 135 0 O x y 8x 22y 135 0

D Given C is the Midpoint of DB and AE Prove DE AB B E 10 HINT Prove that AACB AECDfirst that the corresponding parts are congrue BU Font Family S AA

1 Which angle is congruent with angle D D E A Angle A B C

f x log14 2x 3 log14 2x 3 rewrite using change of base formula

ven is the Midpoint of WY VYZ ve WX AYZX W 3 Complete the Two Column Proof Statement 1 X is the Midpoint of WY1 2 VW YZ 3 XWXY 4 YXZ Reason BiUFont Family 2 13 Definition of a Midpoin 4 Explain why we are unable to finish this proof establishin that AVWX AYZX AA A

Use the given information to prove that ARST AUVT R 1 S T Statement Validate U Given RST is a right angle LUVTIS a right angle ST VT Prove ARST AUVT Reason Reason Send To Proof Send To Proof Send To Proof Send To Proof olo 2

1945 1950 1955 1960 1965 1970 1975 1980 1985 1990 1995 2000 2005 2011 48384 53829 56147 58882 60358 62108 60655 62202 62766 62328 58193 55773 53345 44421 a Make a graph of the data use graph paper label completely and choose the correct axis for th independent x and dependent y variables b Find the slope between 1940 and 1945 c Find the slope between 1960 and 1965 d Find the slope between 1995 and 2000 e Add a trend line to the graph f Estimate the vertex and explain its meaning in context and it is Select an answer g Estimate both x intercepts and explain their meaning in context The smaller of the 2 x intercepts is at x and it is Select an answer The larger of the 2 x intercepts is at a Select an ancwor and it is

Write the given exponential equation in logarithmic form a 1 11

Using the accompanying Home Market Value data develop a multiple linear regression model for estimating the market value as a function of both the age and size of the house State the model and explain R2 Significance F and p values with an alpha of 0 05 Click the icon to view the Home Market Value data State the hypotheses for the multiple linear regression test Ho B B Bk 0 H at least one B is not 0 State the model for predicting MarketValue as a function of Age and Size where Age is the age of the house and Size is the size of the house in square feet MarketValue Age Size Type integers or decimals rounded to three decimal places as needed 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 30 34 30 33 34 33 33 35 30 33 33 32 34 31 33 35 34 32 31 33 27 26 27 29 27 27 28 27 27 29 27 26 25 29 26 29 29 n 1911 1873 1775 1926 2095 1719 1930 1775 1649 1902 1574 1767 2284 2475 1602 2179 1689 1692 1699 1507 1461 1639 1652 1460 1496 1525 1750 1547 1446 1476 1456 1424 1566 1691 1600 1860 109546 95240 94024 102765 104103 89395 99587 91901 85292 102626 93173 86919 109475 112782 83189 113072 95140 82756 85589 80433 77312 77934 87887 79055 80074 90368 89532 81663 87724 86582 91652 78861 87398 91541 82412 87520

12 Given m 1 57 mRS 3x 6 mVT x Find mRS 3 points R S T V

9 Given AOLOB and OC bisects ACB Find mAB and mBC 2 points B

11 Given AB OD in circle O mBD 46 Find m 2 and mAQ 2 points A Q O B D

10 Given m 124 mTV x 1 mSR 3 x 1 Find mTV 3 points R S

7 IF mCD 62 and mAB 70 find mZE and mZAOB m E m AOB 1 point E D B A

8 If the measures of the angles of a quadrilateral are in the ratio of 2 4 5 7 find the measure of each angle 2 points

5 Given right AABC with AB 8 3 and m CBD 150 Find AC and BC A 2 points 8 3 B D

12 Given m 1 57 mRS 3x 6 mVT x Find MRS 3 points R S 1 T L

3 Given quadrilateral ABCD quadrilateral HJKL If AB 6 BC x HJ 12 and JK x 4 Find x 2 points B A H D L C S

9 Given AO LOB and OC bisects ACB Find mAB and mBC 2 points C 3 O A B

1 The measures of two complementary angles are in the ratio 2 7 Find the measure of each angle 2 points 2 x

A D 18 Given Find B Exercises 17 20 AC AD E 12 AB 6 AE 14

What additional piece of information would prove AWZY AMKS similar by SAS W 10 7 8 Y 5 S 4 K