Area Questions and Answers

of 2 Given AB DC AB DC Prove AABC ACDA A D B C Statement Reason

3 2 For use with pages 153 160 Find the values of x and y 11 110 12 13 95 to 2011 S

Find m 1 and m 2 5 60 1 6 120 7 80 2

Determine the remaining sides and angles of the triangle ABC A 22 62 B 36 58 c 19 65 m C O Part 1 of 3

L4L CA Math Geometry A Credit 3 Quiz Question 10 B In the figure below ZCAB LCAD What additional information would be enough to prove A ABC A ADC by the Side Angle S A B C II Pause Q Zoom D AB AD BC DC LABC LADC LBCA ZDCA

Figure 1 B C Figure 2 Saorise claims that there is a sequence of transformations that carries Figure 1 onto Figure 2 Select ALL actions that she could take to justi A show that a rotation of 180 counterclockwise about the origin carries Figure 1 onto Figure 2 show that a reflection over the x axis followed by a reflection over the y axis carries Figure 1 onto Figure 2 show that a translation of 4 units right followed by a translation of 5 units down carries Figure 1 onto Figure 2 show that a rotation of 90 clockwise about the origin followed by a reflection over the x axis carries Figure 1 onto Figure 2 D Pause 5

4 Assume each outcome in the sample space represented by the Venn diagram below is equally likely Are A and B independent FOB OO O Yes No

ABCD is a kite so AC 1DB and DE EB Calculate the length of AC to the nearest tenth of a centimeter D 9 cm 8 cm C E 14 cm B

Kayak Company budgeted the following cash receipts excluding cash receipts from loans received and cash payments excluding cash payments for loan principal and interest payments for the first three months of next year January February March Cash Receipts Cash payments 516 000 462 800 406 000 467 000 352 800 533 000 Kayak requires a minimum cash balance of 40 000 at each month end Loans taken to meet this requirement charge 1 interest per month paid at each month end The interest is computed based on the beginning balance of the loan for the month Any preliminary cash balance above 40 000 is used to repay loans at month end The company has a cash balance of 40 000 and a loan balance of 80 000 at January 1 Prepare monthly cash budgets for January February and March Note Negative balances and Loan repayment amounts if any should be indicated with minus sign Beginning cash balance Total cash available Total cash payments KAYAK COMPANY Cash Budget January 40 000 February March

this figure mz1 135 Which of these statements is enough to prove that line m and line n are parallel Lesson 4 3 1 point A m2 45 B m23 135 C mz5 135 D m24 45 b CH 135 6 AC is the perpendicular bisector of GH Determine the length of the following sides Lesson 4 4 1 point a GH guter 100 m B X 8 12 A Side Side Side Congruence B Angle Side Angle Congruence C Side Side Angle Congruence OD Side Angle Side Congruence c With the information shown above we can also determine that BC BC Therefore which of the following theorems affirms that AGCB AHCB Choose two

Your Turn Givens CE is the perpendicular bisector of FG Find the following lengths 1 Pind PD 2 Find CG 3 Find PG 8 E

2 Find the value for x that results in ABCD A EFG C 112 G 25 H 25 D x 17 E 112 F

11 One point of a line is in the first quadrant and another point of the line is in the second quadrant If the slope of the line is positive name two points on the line

0 d x x y y and use a protractor to measure the indicated angle s Mark congruent angles and sides If the triangles are congruent write a triangle congruency statement using the appropriate reason as SSS SAS ASA or AAS 8 8 6 4 2 BC XY 8 6 4 2 4 B 02 4 X Z m A mZX Congruence Statement 6 O 8 m B m Z

In 7 If possible write a congruency statement and state the theorem SSS SAS ASA AAS you can use to prove the triangles congruent 7 R S U Congruence Statement Reason T

C A Show Transcribed Text D 10 If the minor are measure CD is 84 what is the length of chord CD

13 and complete Your Turn 1 3 adapted from Lesson 4 2 Angle Pair Relationships Same Side Interior Angles Postulate If two parallel lines are cut by a transversal then the pairs of same side interior angles are supplementary Alternate Interior Angles Theorem If two parallel lines are cut by a transversal then the pairs of alternate interior angles have the same measure Corresponding Angles Theorem If two parallel lines are cut by a transversal then the pairs of corresponding angles have the same measure Example Suppose m 1 140 Show how to find m25 m21 mz5 by Corresponding Angles Theorem Using the Substitution Property substitute 140 for mz1 to obtain m25 140 mz1 m25 140 mz5 Corresponding Angles Theorem Substitution To find the measure of mzJKN 2 Two parallel lines are cut by a transversal Use Angle Pair Relationships to find mzJKN By definition JKN and ZMNK are same side interior angles mzJKN mzMNK 180 7x 1 11x37 180 18x 36 180 18x 216 x 12 Same Side Interior Angles Theorem Substitution Combine Like Terms Addition Property of Equality Division Property of Equality 7x 1 we can substitute 12 for x mzJKN 7 12 1 85 So m2JKN 85 M 4 3 5 6 8 7 K 7x 1 11x 37 N R P 9 L P

1 Just the importance of cvil engineering 2 Write down the properties of bricks 3 Briefly explain physical and chemical clasification of rocks 4 Describe the types of bricks and elaborate them 5 Discus the geological clasification of rocks

Create a Python program called expenses py that uses matplotlib to plot a pie chart showing how much money use percentages is spent on the following expenses Rent Gas Food Clothing Car payment Misc A sample pie plot is provided below Save your plot as a png file called expenses png and submit it with the Python program Expenses September 2022 Savings Car Payment 17 0 15 0 30 0 8 0 14 0 10 0 Rent 6 0 Clothing Gas

A engine pumps up 100 kg of water through a hight of 10 m in 5s If the efficiency of theengine is 60 what is the power of the engine 1 33 kw 2 3 3 kw 3 0 33 kw

perpendicular lines Lesson 2 3 Checkpoint Once you have completed the above problems and checked your solutions complete the Lesson Checkpoint below Complete the Lesson Reflection above by circling your current understanding of the Learning Goal 1 Draw the image of the figure under the given rotation Make sure to label appropriately Quadrilateral PQRS 270 about the origin S 2 2 0 R 2 4 2 Write the coordinate notation for the following Rules for Rotation on a Coordinate Plane 90 rotation counterclockwise 180 rotation 270 rotation counterclockwise 360 rotation Transformation Rule x y Preimage Coordinates x y Coordinate Notation Image 3 Are all rotations considered a rigid motion Explain why or why not by explaining its effects on a figure s angles and line segments

3 Draw the image when JKL is translated by the rule x y x 4 y 1 y 4 2 0 8 6 1 Convert the following vector into coordinate notation rule 3 1 2 K 4 6 8 What is the coordinate for L 2 Convert the following vector into notation rule 4 7 4 Draw the image when PRQ is translated by the rule x y x 5 y 3 R P 2 6 2 0 2 4 6 y Q 2 4 6 What is the coordinate for R

1 Draw the image of AABC after a translation along A B 12 C Describe how the direction of the above vector is moving AABC 2 In your own words explain what a translation of a figure is

Find the area of the shaded portion 16 cm 225 O 50 3 sq cm O503 sq cm

9 5 3 Special Angles Assign Name the relationship complementary linear pair vertical adjacent alternate interior corresponding alternate exterior or consecutive interior 2 1 b Find the measure of angle b 7 43 119 4 6 8 10 119 294 31

point Write an equation that represents the function graphe 18 Jay 5 10 10 5 5 y 18 x

T R U 42 171 S 360 4241 360 21 m RS

Aliens Aliens Aliens Allens Aliens Aliens Amadeus Amadeus Amadeus Amadeus Amadeus American Beauty American Beauty Rom Mendes American Beauty Rom Mendes Amaian Bau Bon Mana Aliens Aliens Allens Aliens Aliens Aliens s Action Cameron Action Cameron Action Cameron Action Cameron Action Cameron Action Cameron Drama Forman Annie Hall Annie Hall Avatar Name Drama Forman Drama Forman Drama Forman Show titles genre director last name and rating for all movies where 1 rating is average rating of all movies and 2 do not display movies from director Forman or romance movies Use a subquery in the Where clause Order by title SCREENSHOT director genre movie rating reviewer Drama Forman Rom Mendes Action Cameron Action Cameron Action Cameron Action Cameron 8 7 8 6 9 0 8 1 7 9 8 0 7 4 7 0 8 1 9 4 Action Cameron 9 5 8 0 96 Action Cameron American Splendor Comedy Springer Berman American Splendor Comedy Springer Borman American Splendor Comedy Springer Berman American Splendor Comedy Springer Berman American Splendor Comedy Springer Berman 8 3 American Splendor Comedy Springer Berman 9 1 American Splendor Comedy Springer Berman American Splendor Comedy Springer Berman Annie Hall Comedy Allen Annie Hall 7 3 9 5 9 8 Comedy Allen Comedy Allen Comedy Allen Adven Cameron 9 6 9 0 8 2 9 0 8 6 9 0 8 1 7 9 8 0 78 8 6 8 5 7 7 7 5 Info Tables Columns Indexes Triggers Views Stored Procedures Functions Grants Events Engine InnoDB InnoDB InnoDB InnoDB InnoDB Version 10 10 10 10 10 Row Format Dynamic Dynamic Dynamic Dynamic Dynamic Rows 32 13 35 366 29 Avg Row Length 512 1260 468 44 564 Data Length 16 0 KiB 16 0 KIB 16 0 KIB 16 0 KIB 16 0 KiB Max Data Length 0 0 bytes 0 0 bytes 0 0 bytes 0 0 bytes 0 0 bytes Index Length 0 0 bytes 0 0 bytes 32 0 KiB 16 0 KIB 0 0 bytes Data F 0 0 0 0 0 0 0 0 0

7 identify any congruent figures in the coordinate plane Explain EAY A 4 WI B C 2 X U 2 C F GI 2 N S T K H 1 L Ma 0 X iP

Problem 6 Find the area of the triangle with vertices 2 3 1 1 4 3 and 3 3 0

Graph the function f x log x 2 3 on the axes below You must plot the asymptote and any two points with integer coordinates Asymptote 12 31 30 11 9 8 7 6 5 4 12 11 10 9 8 7 6 5 4 3 2 1 2 2 2 3 4 5 6 7 8 9 10 11 12

Calculate the length between the points 2 3 and 5 7 O A OOOO A 3 B 4 C 5 D 6

All points between and including two given points defines which term belov A B C D ray plane circle line segment

The American Recovery and Reinvestment Act introduced a large amount of government spending into the economy 789 billion Suppose the marginal propensity to consume in the United States is 0 75 How much would the program increase total spending in the economy billion NOTE You may round to the nearest dollar S O See Hi

Give the degree measure of 0 if it exists Do not use a calculator 0 arctan 13 Select the correct choice below and fill in any answer boxes in your choice OA 0 Type your answer in degrees OB arctan 3 does not exist

Find the area of the triangle having the indicated angle and sides Round your answer to one decimal place C 78 15 a 12 b 24

Find the midpoint of points A 6 5 and B 2 4 graphically You may press submit or click the graph again to replot the midpoint Start gwer 10 9 8 7 6 5 3 2 1 10 9 8 7 6 5 3 1 1 1 2 3 4 5 6 7 8 9 10

a in sin b Cos SC NO c tan d cot 1 h e sec f csc g 2 sin cos 2 costan 24 0 7

The figure shows eight congruent triangles made by dividing a square that has an area of 64 cm What is the area of ABH B A O A 20 cm OB 16 cm O C 8 cm O D 6 cm OE 4 cm D H E F G

Find the exact values of sin u 2 cos u 2 and tan u 2 using the half angle formulas 3 4 3 2 U 2 tan u sin u 2 cos u 2 tan u 2

Given TU XW Prove XW 8 X 14 XW 4 7 XW 56 XW 8 Which step is missing O A O B O C O D W 7 Statements Reasons TU XW given ZUTV ZXWV alternate angles theorem ZTVU ZWVX vertical angles theorem ATVU AWVX AA U substitution property of equality cross product division property of equality Statement Statement VW Statement Statement 4 UV h Reason Corresponding sides of similar triangles are proportio Reason Corresponding sides of similar triangles are proportio Reason Corresponding sides of similar triangles are proportion Reason Corresponding sides of similar triangles are proportion

rmine the rate of seepage in cubic feet sec under the dam by drawing flow net to scale ON THE DRAWING and also determine the total uplift force in psf acting at the bottom of the dam at Point B per unit length of dam The permeability of the silty sand is 5 X 10 3 ft sec The drawing is to scale K h 30 f H 40 ft A 5 ft SA 4 601 30 K 5 x 10 3 ft sec Impermeable sand 4 12

Question Answer Angst of s Watch Video From the observation deck of a skyscraper Bentley measures a 48 angle of depression to a ship in the harbor below If the observation deck is 969 feet high what is the horizontal distance from the base of the skyscraper out to the ship Round your answer to the nearest tenth of a foot if necessary Submit Answer Show Examples G

Given a stained glass window with 1 29 inches and d portion of the window Note Not to scale Area 1 d 85 1 d square inches 55 inches find the area of the stained glasse

Use the traditional method to test the given hypothesis At the a 0 05 significance level test the claim that a population has a standard deviation of 20 3 A random sample of 18 people yields a standard deviation of 27 1 O There is not sufficient evidence to warrant rejection of the claim that the standard deviation of the population is equal to 20 3 O There is sufficient evidence equal to 20 3 support claim that the standard deviation of the population is O There is sufficient evidence to warrant rejection of the claim that the standard deviation of the population is equal to 20 3 O There is not sufficient evidence to support the claim that the standard deviation of the population is equal to 30 3

3 Points A 5 3 and B 7 6 lie on AB Points C 7 6 and D 1 10 lie on CD Which statement is true a AB CD b AB 1 CD C AB CD are the same line d AB CD intersect but are not perpendicular Using the same information from the problem above which statement is true about the length of the segments a AB CD b AB CD c AB CD d Not enough information is given

The use of the set of axes below is optional 24 16 Line n is represented by the equation 3x 4y 20 Determine and state the equation of line p the image of line n after a dilation of scale factor 3 centered at the point 4 2 Explain your answer The use of the set of axes below is optional

HW8 3 Centroid of a Composite Area Consider the composite area shown below all dimensions in mm Determine the coordinates of the centroid relative to the x y axes shown 18 10 0 9 0 9 74 11 0 7 31636207570 10 0 11 0 8 0 mm X 0

15 One litre of latex paint covers approximately 8 5 m and costs 12 a Copy and complete this table Volume of Paint p L Cost c 0 24 Area Covered A m 0 17 0 2468 b Graph the area covered as a function of the volume of paint c Graph the area covered as a function of the cost d Write the domain and range of the functions in parts b and c

Find the slope of the curve below at the given points Sketch the curve along with its tangent lines at these points R r 9 9 cos 0 0 2 T The slope at the point 0 2 Simplify your answer is www