Geometry Questions

R S and T are the vertices of one triangle E F and D are the vertices of another triangle m R 60 m S 80 m F 60 m D 40 RS 4 and EF 4 Are the two triangles congruent If yes explain and tell which segment is congruent to RT yes by AAS ED O yes by SAS ED O No the two triangles are not congruent O yes by ASA FD

4 Find the distance w in the figure when a 1 diamter plug is wedged between the flat surface and the 20 diameter 10 radius roller Round the answer to 3 decimal places Hint The centers of the two circles are important points to create right angle triangle PAR

LABC VA PA O ZPMN O ZNPM OZNMP O ZMNP B

State whether the triangles are similar If so write a similarity statement and the postulate or theorem you used A 7 5 to B 8 12 N OAABC OAABC AMNO SAS AMNO AA The triangles are not similar AABC AMNO SSS C 7 5

Find the area of the Figure to the LO SO ain nearest lot

following Write y in terms Initial Value 69 75 153 140 162 96 100 Rate Growth Rate FLVAJ 17 Growth Rate 4 Growth Rate 3 5 Growth Rate 114 Decay Rate 13 Decay Rate 5 Decay Rate 0 1 ite the exponential equation for each of the y y y y y y y Equation 69 1 17 75 1 04 X 153x 1 35 140x 2 14 162 0 87 2 96 0 95 100 0 999 x X X X

What common angle do ACDG and AFCE share OZD OZF OZE C z D 53

Change Determine the Percent Change Relative Change for each of the following Express each answer as a percent rounded to the nearest tenth A quantity decreases from 25 to 20 decrease A quantity increases from 20 to 25 The price of a Latte dropped from 3 12 to 2 86 The cost of Gasoline rose from 2 86 to 3 12 increase decrease increase

Based on the information in the diagram can you prove that the figure is a parallelogram Explain O Yes the diagonals are congruent O Yes the diagonals bisect each other O Yes two opposite sides are both parallel and congruent

How many small cubes with a side length of inch will fill this larger rectangular prism 2 in 72 2 in 63 3 2 in Moneuvering the Middle LLC 2017

D 1 Solve for x C is the center of the circle D a b A D 80 d BE 24 feet B X A 50 F A 1 B E A e A 68 C X E X C 62 D B B

What is the value of x D to 93 5 F Drawing not to scale O 86 5 O 43 25 E O 46 75 O 133 25

In the diagram below congruent figures 1 2 and 3 are drawn F E D B 2 F cu D D E C B 2 a rotation followed by a translation 3 a translation followed by a reflection 4 a translation followed by a mitation is 3 Fr B A Which sequence of transformations maps figure 1 onto figure 2 and then figure 2 onto figure 3 1 a reflection followed by a translation U

State whether AABC and AAED are congruent Justify your answer B by 7 O yes by SAS only O yes by SSS only D DA g O No there is not enough information to conclude that the triangles are congruent yes by either SSS or SAS

When a new charter school opened in 2010 there were 930 students enrolled Write an equation representing the number N of students attending this charter school t years after 2010 assuming that the student population Increases by 88 students every 4 years Decreases by 52 students every 2 years Increases by 12 every 4 years Decreases by 8 every 3 years Increases by 72 students every semester twice each year Increases by 13 every quarter 4 times per year N N N N N N HINT To enter an expression like 25 0 8 2 be sure to put parentheses around the exponent 25 0 8 2x To enter an expression like 25 0 8 be sure to put parentheses around the exponent 25 0 8 x 2 Question Help Video

A In a new movie theatre seats will be installed in the unshaded area How many square feet are available for seats 23 ft 439 2 11 ft 9 ft 32 8 ft 9 ft 11 ft Maneuvering the Middie LLC 2017

The following data includes the year make model mileage in thousands of miles and asking price in US dollars for each of 13 used Honda Odyssey minivans The data was collected from the Web site of the Seattle P I on April 25 2005 make model Honda Odyssey EXL 2004 Honda Odyssey EX 2002 Honda Odyssey 2002 Honda Odyssey Odyssey EX 2001 Honda Odyssey EX 2001 Honda 2000 Honda 2000 Honda Odyssey LX Odyssey EX 2000 Honda Odyssey EX 2000 1999 1998 1995 year 2004 Honda Odyssey Honda Odyssey Honda Odyssey Honda Odyssey EX 0 849 mileage 20 21 33 41 43 67 46 72 82 99 71 85 100 Compute the correlation between mileage and price for these minivans Assume the correlation conditions have been satisfied and round your answer to the nearest 0 001 X price 26900 23000 17500 18999 17200 18995 13900 15250 13200 11000 13900 8350 5800

LM is the midsegment of ABCD AB 72 and DC 104 What is LM D O O O L 98 32 88 O 176 A B M C

After graduating from college Carlos receives two different job offers Both pay a starting salary of 73000 per year but one job promises a 4380 raise per year while the other guarantees a 5 raise each year Complete the tables below to determine what his salary will be after t years Round your answers to the nearest dollar t years Salary with 4380 raise per year t years Salary with 5 raise per year 77380 76650 1 1 81760 5 5 80482 5 X 86140 10 10 X 84506 63 15 X 90520 X 15 88731 96 X 20 94900 20 X 93168 55 X X

One corner of a strip of paper a em wide is folded up so that it lies along the opposite edge see figure 1 Find the least possible for the fold length fold Figure 1 Visualization of the problem

A solid metal prism has a rectangular base with sides of 4 inches and 6 inches and a height of 4 inches A hole in the shape of a cylinder with a radius of 1 inch is drilled through the entire length of the rectangular prism 4 in in 4 in 6 in What is the approximate volume of the remaining solid in cubic inches

The greenhouse pictured below can be modeled as a rectangular prism with a half cylinder on top The rectangular prism is 20 feet wide 12 feet high and 45 feet long The half cylinder has a diameter of 20 feet 12 ft 20 ft 45 ft Op To the nearest cubic foot what is the volume of the greenhouse 1 17 869 3 39 074

Find the missing values of the variables The diagram is not to scale 106 to Oy 119 Ox 93 y 74 Ox 74 y 103 Ox 103 y 119 Ox 74 y 93 74

Based on the information given can you determine that the quadrilateral must be a parallelogram Explain Given XN NZ and NY NW Y W X N 2 Yes opposite sides are congruent Yes two opposite sides are both parallel and congruent No you cannot determine that the quadrilateral is a parallelogram Yes diagonals of a parallelogram bisect each other

Find the value of x W S RD 11x 12 36 U T

Select the correct answer Katie is playing a game using a 26 card deck that contains the black suits of the cards which are 13 clubs and 13 spades She can score bonus points if she draws a face card on her next turn What is the probability that Katie will draw a king queen or jack on her next turn OA OB OC OD 3166 Reset Next

Parallelogram ABCD has the angle measures shown Can you conclude that it is a rhombus a rectangle or a square Explain 66 166 66 1 66 There is not enough information Parallelogram ABCD is a rectangle because the diagonal creates congruent angles Parallelogram ABCD is a square because all four angles have the same measure Parallelogram ABCD is a rhombus because the diagonal bisects two

Complete the truth tables below 15 p V q 16 p r

O True O False Question 4 1 5 pts Activated ignorance means taking into the mind and actively using information that is false though we mistakenly think it to be true True

Name the major arc and find its measure D BDA 310 OAB 310 AB 50 OBDA 50 A B

The triangles are similar The area of the larger triangle is 563 ft Find the area of the smaller triangle to the nearest whole number A A 24 ft 21 ft Not drawn to scale O 431 ft 2 2 O 441 ft O 576 ft O 735 ft

7 Given the below diagram prove which congruence theorem will support each case DOK 4 C B E A a If ZBAC DCA state the congruence theorem and prove AABE ACDE D b If BD bisects AC and AC bisects BD state the theorem and prove the AABE ACDE CAR

Given the horizontal circle readings below answer the following questions 1 FL 99 25 30 2 FL 125 25 25 3 FL 312 47 12 3 FR 132 47 07 2 FR 305 25 18 1 FR 279 25 23 Reduce the horizontal circle readings and enter them in the boxes provided 16 1 2 3 O 11 11

P x 7 84 V W R x 21 84 Which equation can be used to solve for x 21x 84 3 x 7 84 S 3x 7 84 x 7 T

Convert the following to logarithmic form x 4 2 k Select one O a log 4 2 k x O b logx 2 k 4 Oc logx 2 k 4 d log 4 2 k x

Find the area Round to the nearest whole number Image O 70 units O 35 units2 O 28 units2 O 14 units 5

In the figure shown O a O b Oc Od B m AED 122 E D and C m BEC 58 BEC ZCED and m AEB 58 ZAEB ZDEC Which of the following statements is false are adjacent angles are vertical angles

If 4 64 Select one a 2 b 3 b C 4 d 3 solve for x

If 2x 16 solve for x Select one a 3 2 O b 16 OC 4 O d 2

Find the standard form of the equation for the ellipse centered at 0 0 having vertical major axis of length 26 and minor axis of length 10 Graph the equation REER The equation of the ellipse in the standard form is Type exact answers using radicals as needed Use integers or fractions for any numbers in the equation 1

Solve the following equation 2x 16 1 4 Select one a 4 Ob 2 C 4 Od 1

Solve the following equation 2x 1 3x Select one a 1 60 O b 1 73 O c 1 69 Od 1 71

Solve 82 64 find value of z Select one O a 2 Ob 1 2 OC 2 3 d 3 2

Solve the following equation 2x 82x 9 0 Select one Oa 3 2 Ob 9 3 c 9 3 Od 6 9

Find the x intercepts of the polynomial function State whether the graph crosses the x axis or touches the x axis and turns around at each interc 2 4 f x x 9x O A 0 touches the x axis and turns around 3 crosses the x axis 3 crosses the x axis OB 0 crosses the x axis 3 crosses the x axis 3 crosses the x axis OC 0 touches the x axis and turns around 9 touches the x axis and turns around O D 0 touches the x axis and turns around

Complete the following sentence The inverse of a line with a positive slope is always a line with a negative slope

The inverse of the function is the reflection of the function across the line y x Select one O True False

A function is defined by f x 4x Graph f x and f 1 x on the same axis 10 Select one a b 5 10 10 5 10 10 X X

A function f is defined by f x x2 Find f 2 Select one O a 3 O b 2 C 4 Od 1

Which graph is not a function Select one o a O b d y 3 44 X 3 13 y 3 x x 3