Geometry Questions

1 m24 m28 What type of angle pair is this Circle the theorem or postulate that proves all b Converse of the Same Side Interior Angles Postulate Converse of the Alternate Interior Angles Theorem Converse of the Corresponding Angles Theorem 4 3 2 8 5 6 ta

Your Turn 3 4 Find the value of x that makes s and t parallel 3 x 8 2 x 10 prof 4x12 120

I can prove the following theorems about lines and angles When a transversal crosses parallel lines alternate interior angles are congruent and corresponding angles are congruent 1 Assume mz2 35 Find the measure of all of the other angles in the figure given line I and line p are parallel Lesson 4 2 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 m21 m24 m26 m28 70 Getting there mz3 m25 m27 27x 2 Got it 2 Identify the relationship between the two angles shown below Corresponding Alternate Interior or Same Side Angles Then solve for x

Your Turn 4 Find CR Given CD is the perpendicular bisector of PR Find the following lengths P S 15 D R

the value for y that results in A JKL A MNP 4y 12 mm 22 mm 15 mm 22 mm M P 15 mm 32 mm

5 Find the value of x that makes u v parallel X 120 X 6 Find the value of x that makes u v parallel 14x 11 17x 1 v 95

Description Common Shares Contibuted Surplus Retained Earnings Cash Debit Revenue Debt to Equity Ratio 5 040 000 545 000 7 015 000 Credit 12 600 000 Place only one T in each row below indicating the impact of the share reacquisition journal entry on the following financial statement metrics Not Positive Negative No Impact Determinable

What occupancy classification is an electric generation plant according to IBC F 2 F 1 H 2 Group B

fiber optic network to monitor power meters at residents homes The network is called Santa Joaquin Fiber Network SJFN Because SJFN had more capacity than was needed to monitor meters the city expanded its services to offer access to the network for city businesses The businesses use the network to communicate with each other and to access the Internet At the SJFN headend which is located with the city government offices three routers and WAN links connect to the Internet for use by the city The businesses on SJFN also use these routers to reach the Internet In addition to the business service SJFN also offers cable modem service to homes A cable modem router at the SJFN headend connects to the fiber optic network In the city neighborhoods hybrid fiber coax nodes bring coax cabling to each street and into the homes for cable modem Internet access The SJFN backbone consists of a fiber optic Gigabit Ethernet network that runs through the city in a ring topology The fiber optic ring connects the hybrid fiber coax nodes that bring coax cabling to each neighborhood Also connected to the ring are six data routers Each router links one or more Santa Joaquin businesses to SJFN via simple point to point connections At the business the fiber optic network enters the building and connects to a media converter A UTP cable connects to the media converter and typically to a 100 Mbps Ethernet switch The switch links the business s computers and servers in a star topology via UTP cabling Draw a network map that shows the topology of the SJFN and how the main mponents are connected

Description Common Shares Contibuted Surplus Reained amings Cash Debit Earnings Per Share Revenue Debt to Equity Ratio 5 040 000 545 000 7 015 000 Credit 12 600 000 Place only one T in each row below indicating the impact of the share reacquisition journal entry on the following financial statement metrics Positive Negative Not No Impact Determinable

Use the given below to answer items 4 and 5 Given 4 distinct points W X V Zona freo To prove that there exists a projectivity which carries W X Y Z into X W ZY consider the cudine of the proof given below Proof Project the points W X Z from poirt A nct ono Section o by o jdistinct from a and AM on Y and obtain the points W X Y Z so that that Y Y Join W and X meeting AZ ral Z 4 Draw the figure with the conditions in the given and in the outline of the proof stated above 5 Supply the missing basis of each pencil and center of perspectivity that are established below W X Y Z Z AZZ X W Y W XY 2

Follow the instructions below and write an essay that covers the following tasks R script R screenshots your results and explanations should be included for each question in the essay NAMENSOR WINK Load Twitter Spam dataset into R studio use ggplot function to make density plot of Tweets number column no tweets to compare spam and non spam Clarify how you make the plot and what s your observation from the density plot 2 Use ggplot function to make scatterplots to present the relation of posted tweets number column no tweets and the number of followers column no follower displaying spammer and non spammer with different colours Clarify how you make the plot and what s your observation from the scatter plot Add regression lines to the scatterplot generated in Step 2 for spammer and non spammer separately what s your observation from the regression lines Compared with scatterplot only what are the advantages of adding regression lines

a A grid connected micro hydro scheme has the following characteristics Synchronous motor generator 3 phase 0 8 MVA 0 7MW 11 V star connected Sachidace 0 05 2 Hydro Turbine rating 0 7 MW reverse power is not allowed Rated Geld corrent 2 0 pr Note 1 pu field current is defined as the current that would generated an emf of 1pu at rated speed you to snala the conabilitu dianvam chaming the safe moration ve Allow for a areo

You are given that 5 sin x 7 cos x 1 Determine the numerical value of csc 2 x NOTE Give an exact answer Decimal approximations may be marked incorre csc x 4

In the universal set U a b c h define subsets of cars with the characteristics shown to the right Describe the following set in words and then find the set Pnc Define the set Pn C in words Choose the correct answer below Click on the icon to view the table of new car features DU 000 OA The set is the set of cars that cost more than 20 000 and are not compact B The set is the set of cars that both cost more than 20 000 and are compact OC The set is the set of cars that either cost more than 20 000 or are compact OD The set is the set of cars that cost 20 000 or less and are not compact Identify the elements of the set Pn C Select all that apply A g C h E d G e P price is above 20 000 C is compact G has a good safety rating has antitheft package A W 1 PnC is the empty set warranty is at least three years B b D C F f H a Data table Car a b C d e f 9 h Cost 23 000 16 500 21 600 21 000 20 400 18 900 18 100 23 800 Size midrange subcompact compact compact compact subcompact subcompact midrange Print Warranty years 3 2 3 3 2 3 4 4 Done

A bridge with a semielliptical arch spans a river as shown here What is the clearance 6 ft from the riverbank The clearance 6 ft from the riverbank is about ft Type an integer or a decimal rounded to one decimal place as needed GIES 14 ft

The graph of an exponential function is given Select the function for each graph from the given options y 8x y 8 x 43 y 8 x y 0 5x0 y 8x 1 44 Drag each function given above into the area below the appropriate graph depending on which function is represented by which graph 39 40 41 y 0 y 0 y 1 8x B y 8 x 45 y 8 y 8 1 y Ay y 0 G 42 46 y 1 F Ay FO Q

6 5 Notes 2023 notebook Rewrite in y mx b form and graph IX IX 3 3X 3x y 4 x y 5 y 3x 4 x 2y 6 2y 6 Review 460 461 3x 3x 4y 12 6 4 27 9 2 43 4 m 3 y 3x 3 YCY November 21 2023 5 x 5 2x 2x y 7 y 2x 7 y 2X 7 2x 3y 6 39 2x 6 y mx b 4 7x 2 3 y x 2 Slope Vintercept

Assignment Sketch the graph of each line 7 1 y x 2 4 1 3 y 5x 3 7 Rewrite 2 2x y 4 1 19 2x 4 Ay 2 X x7 7 4 4 Standart form 9 5 Name y 3x o 5 X x y 3 2 y 1 X73 Date 7 8 4 y 2x 1 5 y 2X 1 Ay DC y x 3 y x 3 2X2 3y 3 6 y z AX x ID Period

y 3x 2 slope V 21 8 Given the slope and y intercept write an equation of the line in the slope and y intercept form Then write the equation in standard form 8 m 5 b 2 925172 5x y 2 0 10 m b 1 3 9 m 1 b 1 2 X 1 2 2x 2y 1 0 11 m 1 b 1 3 y 2 3 X 1 2x 34 3 0 y X 3xl 4 2 k bo

The volume enclosed by the planes 3x 4 2y 3 z 4 3 is

Find the slope and y intercept 5 3x y 2 3x y 22 7 1 4x 0 7y 2 8 Sloffs of each line 6 4x 3y 9 Slope 7xy y 9

Ex 2 Find the equation for the line shown in these graphs a b X 2

If a line is not in Ex 1 2x y 5 Ex 3 x y 4 slope intercept form we may need to rearrange it Ex 2 6x 3y 9 Ex 4 3x 2y 5

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

2 5 Find the m4 and justify by stating the reason drawings are not to scale 2 m4 3 m4 Reason 4 m 4 Reason 56 78 1 Reason 5 m 4 Reason 8 5 1027 83 1

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

In 1 Identify the following angle pairs as Corresponding Angles Alternate Interior Angles Same Side Interior Angles Vertical Angles or Linear Pairs a 41 and 27 c 3 and 46 In b 22 and 4 d 25 and 48 m 4 3 1 2 7 6 b

In 6 1 m find the value of x and the measure of all the angles drawings are not to scale 6 6x 15 15x 3 m

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

Employee net pay Lindsey Vater s weekly gross earnings for the week ended March 9 were 1 950 and her federal income tax withholding was 409 50 Assuming the social security tax rate is 6 and Medicare tax is 1 5 of all earnings what is Lindsey s net pay For interim computations carry amounts out to two decimal places Round your final answer to two decimal places

The payroll register of Heritage Co indicates 4 800 of social security withheld and 1 200 of Medicare tax withheld on total salaries of 80 000 for the period Federal withholding for the period totaled 17 540 Retirement savings withheld from employee paychecks were 3 200 for the period Journalize the entry to record the period s payroll If an amount box does not require an entry leave it blank Salaries Expense Social Security Tax Payable Medicare Tax Payable Employees Federal Income Tax Payable Retirement Savings Deductions Payable Salaries Payable Feedback Check My Work

What is the equation of the line that passes through the point 4 2 and has a slope 3 4

Score 0 2 Question Penalty 0 25 off Watch Video Show E What is an equation of the line that passes through the point 4 4 and is

Determine whether the given triangles are similar If they are write a similarity statement and name the postulate or theorem you used If the triangles are not similar explain why Choose the correct answer below 34 K 80 110 P L OA AJKL APQR by the AA Postulate OB AJKL APQR by the SAS Theorem OC AJKL APQR by the SSS Theorem OD AJKL and APQR are not similar because the corresponding sides of the triangles are not in proportion 32 R 44 26 Q

The lines represented by the equations 3y 2x 21 and y x 3 are Answer Attempt 1 out of 5 O neither parallel nor perpendicular O perpendicular O parallel the same line Submit Answer

Put the following equation of a line into slope intercept form simplifying all fractions 2x 3y 9

Unit Circle What is the angle Name the Reference angle coterminal angle negative angles quadrants ordered pairs radians degrees sin cos 1

3 Evaluate the trig function with exact values 1 sin 7 7 4 6 3 2 COS 3 tan 5TT 3

cose 5 13 Sketch the triangle represented then find the sine tangent ratios

A 30 60 90 triangle has a hypotenuse of 7 2 Find the other sides Be careful

Proving That Alternate Interior Angles Are Congruent Read Explain 1 Explain2 and complete Your Turn 1 adapted from Lesson 4 2 Show all your work EXPLAIN 1 Alternate Interior Angles Theorem If two parallel lines are cut by a transversal then the pairs of alternate interior angles have the same measure Example 23 45 Given p q line p parallel to line q Prove m23 m25 Two Column Proof of the Alternate Interior Angles Theorem Statements Example Complete the proof by writing the missing reasons Choose from the following reasons You may use a reason more than once Refer to the reason bank below 1 pllq 2 23 and 26 are supplementary 3 m23 m26 180 4 25 and 26 are a linear pair 5 25 and 26 are supplementary 6 m25 m26 180 7 m23 m26 m25 m26 8 m43 m25 Reason Bank Substitution Property of Equality Reasons Same Side Interior Angles Postulate 1 2 3 4 5 6 7 8 Linear Pair Theorem P Definition of Supplementary Angles 9 1 4 3 5 6 At 8 7 Subtraction Property of Equality Given P 9

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

2 Without using a calculator find the exact value of the expression tan 3 8

Given p q Prove m24 m28 Two Column Proof of the Vertical Angles Theorem Statements 1 pllq 2 24 and 26 are alternate interior angles 3 m24 m26 4 26 and 28 are vertical angles 5 m26 m28 Angles Theorem Refer to the reason bank below 6 m24 m28 Reason Bank Substitution Property of Equality Vertical Angles Theorem Reasons THE RE 1 Given 2 3 4 5 6 Definition of Vertical Angles Alternate Interior Angles Theorem 4 3 5 8 7 P 9 Definition of Alternate Interior Angles

Lesson 4 2 Homework HW Complete problems 1 8 for independent practice When you are finished check the solutions with your teacher 1 Identify the relationship shown below Corresponding Angles Alternate Interior Angles Same Side Interior Angles Consecutive Interior Angles Alternate Exterior Angles 3 Identify the relationship below Corresponding Angles Alternate Interior Angles Same Side Interior Angles Consecutive Interior Angles Alternate Exterior Angles 2 Identify the relationship shown below Corresponding Angles Alternate Interior Angles Same Side Interior Angles Consecutive Interior Angles Alternate Exterior Angles 4 What is the measurement of the missing angle 65

2 Without using a calculator find the exact value of the expression tar

Your Turn 1 Suppose mz4 36 Show how to find m25 2 Two parallel lines are cut by a transversal Use Angle Pair Relationships to find m BEF 0 D A H 3 Two parallel lines are cut by a transversal Use Angle Pair Relationships to find x 5 6 8 7 B 1 4 3 3x 58 7x 1 E 9 5x K G 5 85 FL

5 What is the value of b b 7 Solve for x X 4x 1 157 45 salta inship b tal B 1 zounidony G b 51 il noy nad W X nowomoll E 518 lun wred gim 8 Solve for x x 4 O 5x 2