Geometry Questions

3 A rectangular nuclear waste holding facility is 100m long by 70m wide A safety zone of 8 a uniform width must be built around the entire facility Determine the width of the strip of land if the area of the facility and the strip is 90 000m Round your answer to 2 decimal places if necessary Area 90000 m laws A 70 2x 100 2x s 9000 00 140x 200x 4x 90000 occu 90m loom 4 er

2 What are the value s of k that makes the parabola y x kx 10 and the line y 3x 1 have one point of intersection

C What is an equation of the line that passes through the point 4 4 and is perpendicular to the line 4x 5y 10 Question O Watch Video

D A y f x 2 y f x 1 3 y f x 1 3 y f x 2 y f x 1 3 used B E C F

For the symetric truss shown below note the sketch is not to scale determine the size of angle to three sig figs and the length of web member AB to the nearest whole inch a B DEGREES B 5 ft 1 in E 2 7 ft 8 in D 4 ft 3 in

What is the area of this figure 11 mi 4 mi square miles 5 mi 3 mi 8 mi 6 mi 5 mi Write your answer using decimals if necessary 7 m

Writing Equations of Lines Write the slope intercept form of the equation of each line 1 1 2 2 3 A y x 2 y x 2 D y x 2 A y 4x y x 4 B y D ya 4r Write the point slope foral of the equation of the line described perp perpendicular 3 through 2 4 parallel to y 3 3 4 A y 4 3 x 2 B y 4 3 x 2 C y 2 3 x 4 D y 2 3 x 4 4 through 1 4 parallel tox 0 A y 4 3 x 1 B y 1 3 x 4 C 0 x 1 D y 4 0

Find all of the angles of rotation including 360 for a regular decagon a ten sided polygon KA T U sans serif www

DECORATING Camilla made a collage with pictures of her trip to Europe She wants to hang the collage from the ceiling in her room so that it is parallel to the ceiling She draws a model of the collage on a coordinate plane At what point should she place the string 987654 32 2 1 y 0 8 0 0 3 4 O12345678

12 and CF 18 Find each measure In A4BC Hier AufBU 5 CU UF 6 AD 8 BE A E C 16 H LL F D 12

90 1 1445 2 35 95 6 4 7 38

Match the following equations with their direction field Clicking on each picture will give you an enlarged view While you can probably solve this problem by guessing it is useful to try to predict characteristics of the direction field and then match them to the picture Here are some handy characteristics to start with you will develop more as you practice A Set y equal to zero and look at how the derivative behaves along the z axis B Do the same for the y axis by setting equal to 0 C Consider the curve in the plane defined by setting y 0 this should correspond to the points in the picture where the slope is zero D Setting y equal to a constant other than zero gives the curve of points where the slope is that constant These are called isoclines and can be used to construct the direction field picture by hand 1 g 2 2 y 2 2y z e 2x y 3 g 2y 4 g y 2 11 11

Find an angle with 0 0 2 that has the same 12 11 Sine as 0 35x 22 T

olem 5 Suppose that a species of fish in thousands is modeled by t 10 F t 0 5t2 1 120 where t is measured in years after 2000 a What is the initial population b Find F 10 and interpret its meaning c Find all horizontal asymptotes of F t if any d Sketch the graph of the function F t Label and appropriately scale the axes to include the ent graph e Evaluate the average rate of change of F t from 2004 to 2006 Interpret the meaning of y answer and include appropriate units f As time increases describe what happens to the fish population

What are the values of x y and z to 66 45 30 430 Jo 20 119

The Jacksons have contracted with a realtor to sell their home It is a 2 story home measuring 34 feet by 54 feet on each floor The realtor has determined that the average price per square foot for comparable houses is 81 Calculate the square footage of the Jackson s home square feet Calculate the current fair market value of their home

4 Label this shape LMNP Translate it x 1 y 2 Write the coordinates below L M N P L M N P 5 Label this shape QRS Rotate it 90 clockwise about the origin Write the coordinates below Q Q R R S S 6 Label this shape TUVW Dilate it x y 1 5x 1 5y Write the coordinates below T U V W T U V W

2 Given 1 m 11n Prove mIn 1 1 m 1 In Statements Reasons 1 Given 23 43 35 69

Examine the two pentagons shown E D A C B D C B OR T ABCDE OR Ro ABCDE T Ro ABCDE ORIT Ro ABCDE A Which of the following combined transformations can be used to map ABCDE on ABCDE

2t 3 13 when t

1 Label this shape ABC Reflect it over the x axis Write the coordinates below A B C A B C 2 Label this shape DEFG Reflect it over the y axis Write the coordinates below D E F G D E F G 3 Label this shape HJK Translate x y x 3 y 4 Write the coordinates below H H J K J K

4 m6 m47 180 in the diagram Therefore lines a and bare parallel not parallel circle one If you circled parallel provide the postulate theorem to support your claim If you circled not parallel explain why 8 7 9 10 16 15 16 3 4 6 5 11 12 14 13

ARST is congruent to AUST by ASA What is the value of x S R 0 0 0 76 5x 1 U T x 2 6 X 76 x 20 6 X 15

2 Select the correct answer from each drop down menu Consider triangles ABC and QPR shown Triangle ABC is triangles are B not congruent congruent P R triangle QPR Since the transformations Reset Next

ABC and ADEF have congruent corresponding angles and satisfy the AAA correspondence ABC and ADEF are always congruent may or may not be congruent AAA correspondence Reset Next a criterion for congruency of any two t

Select the correct answer from each drop down menu In the given image line AB is parallel to line DC and DF BF D B By the alternate interior angles theorem ZFDCZFBA and by the vertical angles theorem ZAFBZC Complete the statement ADFC A by the SAS HL criterion Reset Next

E A 60 B 41 In the diagram AGEF and AHEF are congruent What is the value of x C 28 H D 30 60 2 x 2 LL F

In the given triangles PR AC and ZP ZA R B Which additional fact is needed in order to use the ASA criterion to prove that the two triangles are congruent OA ZR ZC OB 4Q 2B OC PQ AB OD RQ BC

4 B A 10 120 B 16 rnek Soru C 20 12 Antrenman AC BC X D 24 E 36

Federal Government How a Bill Becomes a Law How a Bill Becomes a Law Quick Check Explain what happens when a bill is vetoed 1 point O When a bill is vetoed a committee member rejects the bill O When a bill is vetoed it moves from committee review to chamber review O When a bill is vetoed the president rejects the bill O When a bill is vetoed Congress rejects the bill

1 1 Complete a two column proof Given SU LR TU LN Prove ST NR Statements SU LR TU LN Reasons 1 Given S L N T TROM bhe R

Prove the Converse of the Alternate Exterior Angles Theorem Given 42 27 1 42 27 Statements Prove m n Reasons 1 Given 3 2 4 5 7 6 8

1 Complete a two column proof of the Vertical Angles Theorem Given 22 and 24 are vertical angles Prove 2 24 Statements 1 22 and 24 are vertical angles 41 and 24 are a Linear Pair 21 and 2 are a Linear Pair 2 Reasons 1 Given 2 Given in Diagram 4 1 3 2

1 What is the value of r 1 10 3 4 In the accompanying diagram line a intersects line b 5 10 90 14 x 5 2x 5

196 Ox 7 10 None of the above Oy 7 Ox y 7 5 10 JANKY 5 0 6 10 15 THE KING JAN AN 10

At the beginning of the lesson Jacob determined that there was a problem with the sail length measurements of 7 5 meters 4 8 meters and 2 5 meters Explain how Jacob was able to determine there was a problem with the specifications of the triangular sail BIUX X 15px V AVV

In the invoice that specifies the side lengths of the triangular sail as 7 5 meters 4 8 meters and 2 5 meters suppose the mistake was in the length of 2 5 meters Determine the range of values that are possible for the third side length x of the sail BI U X X 15px V A v B

Match the trigonometric function with one of the graphs I VI f x tan x Select V klei NI h E AT THE 1 III

While sailing Jacob is 150 feet from a lighthouse The angle of elevation from his feet on the boat at sea level to the top of the lighthouse is 48 What can you conclude about the height of the lighthouse with respect to Jacob s distance from the lighthouse Explain your answer BIUX X 15px A

Find the period y tan x Graph the function HANSA 858722

Find the period y 2 tan x Graph the function HMS 212 WAN Need Help Read it ww K

1 1 point Match each set of level curves with the appropriate graph of function Briefly explain your choices 1 2 3 OXO a b C

Mike is designing two sails for Jacob Help him determine the range of possible lengths of the third side of each sail Part A The first sail has one side of length 9 feet and another side of length 6 feet Determine the range of possible lengths of the third side of the sail BIUX X 15px V A Space used includes formatting 0 15000 Submit A BY Part B The second sail has one side of length 22 feet and another side of length 2 feet Determine the range of possible lengths of the third side of the sail BIUX X 15px

B 15 BIUX X 15px Question 3 2x 4 Space used includes formatting 0 15000 TUKI C AVA Submit

Drag each tile to the correct box Triangle ABC is shown B 82 38 A Order the sides of the triangle from shortest to longest AB BC AC

Based on the given lengths determine whether the segments can form a triangle Drag each set of side lengths to the correct location on the table Can Form a Triangle Can t Form a Triangle

A triangle has side lengths BC 9 AB 7 and AC 13 Which angle in the triangle has the greatest measure ZA answer Cannot be determined ZB

How does the figure verify the triangle inequality theorem 4k 11 O by showing that the sides with lengths of 7 and 4 can form many possible triangles by showing that the sides with lengths of 7 and 4 can meet to form a third vertex by showing that the sides with lengths of 7 and 4 will never meet by showing that the sides with lengths of 7 and 4 will only meet when they lie on the third side O O O

Select the correct answer from the drop down menu Manuel is building a frame for a triangular table He has four pieces of wood measuring 8 feet 3 feet 5 feet and 12 feet What pieces can Manuel combine to make the frame Manuel could only use the pieces that are 8 ft 3 ft and 5 ft 8 ft 5 ft and 12 ft 8 ft 3 ft and 12 ft 3 ft 5 ft and 12 ft in length

esson 9 Practice Prob 1 An image of a book shown on a website is 1 5 inches wide and 3 inches tall on a computer monitor The actual book is 9 inches wide a What scale is being used for the image b How tall is the actual book