Geometry Questions

Run a Linear Regression Analysis on the data table to the right Use that information to answer the following questions Note Write each answer as an equation Round all values to 3 decimal places Write the Linear Equation that models this data Use this equation to predict y when x 20 3 Enter the prediction as an equation in the form y MI Lei X 1 9 5 6 24 4 30 2 33 9 48 8 12 7 47 1 10 5 y 142 1 206 6 127 3 92 7 83 6 18 1 120 5 15 8 115 5

bisects ZEDG Find FG The DF diagram is not to scale D O 14 O 19 2 E n 8 3n 4

A When a new charter school opened in 1990 there were 960 students enrolled Write an equation representing the number N of students attending this charter school t years after 1990 assuming that the student population a Decreases by 12 per year b Remains constant does not change c Increases by 76 students per year d Decreases by 42 students per year e Increases by 14 per year N N N N N II

of x The diagram is not to scale D O 19 O 285 04 19 32 E 9x 114 F 15x

n the information in the diagram can you prove AFDG AFDE Explain yes by AAA 4 yes by ASA yes by SAS Fal E

Use the information given in the diagram Tell why MN PO and ZNOM LPMO P M O Given Given N Given Reflexive Property Reflexive Property Transitive Property Transitive Property Reflexive Property

The figure is drawn on centimeter grid paper Find the perimeter of the shaded figure to the nearest tenth O 18 0 cm O 10 8 cm O 17 6 cm O 15 6 cm

Find the circumference Leave your answer in terms of 547 in O 187 in 324 in O 367 in 18 in

A carpenter is constructing a new 32 foot wide house The carpenter needs to cut rafters that will rise at a 36angle and meet above the center line of the house If each rafter overhangs the side of the house by 2 feethow long must the rafters be to the nearest of a foot 2 36 2 32 121

40 Find the value of x 5 5I2 A 1 5 B 4 2 C 6 D 2 8 3 X

Find the value of x Round to the nearest tenth O 10 2 O 14 5 O 14 2 O 10 7 12 32 Not drawn to scale

A Determine the outcome and sample space based on the experiment Write your answers on separate sheet of paper SAMPLE SPACE EXPERIMENT Rolling a die an even number is rolled Rolling a die a number greater than two is rolled Describing all three child families according to the genders of the children with respect to birth order Flipping a coin three times OUTCOME

Use the information in the diagram to determine the height of the tree The diagram is not to scale O 37 5 ft O 150 ft O 35 5 ft O 75 ft 150 ft H 000000 0000 00 0

What are the values of a and b 10 O a 6 8 b 9 2 15 2 9 2 16 b b b b b 13 2 9 2 15 2 15

Pyramid A has a volume of 10 cubic units a height of 5 units and a length of 9 units for the longest edge Pyramid B has the same base area and height but a length of 7 units for the longest edge LO 9 A 7 B What is the volume of pyramid B

Find mA The diagram is not to scale 118 O 107 O 117 O 73 63 104 96 115 A

What is the value of x given that PQ BC B O 20 O 24 8 0 De P A 12 18

Suppose you invest 8500 in an account that earns 7 simple interest annually Use this information to complete the table below Round to the nearest cent as needed Year 1 2 3 4 5 Question Help Starting Balance Video 8500 9095 10285 es Interest 595 595 Ending Balance 9095 10285

Which statement is not necessarily true Given is the bisector of JL A DE ID K tay E L O DE 1 JL OK is the midpoint of JL

A triangular side of the Transamerica Pyramid Building in San Francisco California is 149 feet at its base If the distance from a base corner of the building to its peak is 859 feet how wide is the triangle halfway to the top Transamerica Pyramid 859 ft 149 ft 74 5 ft 149 ft 429 5 ft 200 859 ft

Find the exact value Do not use a calculator Use the method explained in class sin tan cos a Define angles a and B as part of the solution b State the domain restrictions to define the inverse tangent function and the inverse sine function c Draw appropriate diagrams for the reference angles

QUESTION For which values of a b c and d the following matrix equation is fulfilled 3 20 a 3 2 4 4 C b 6 3 a 3 2 4 4 c a 9 d 2 b 8 7 b REAPUESTAS a Select Select b Select 10 19 11 30 47 54 13 NOTE Choose the N A option in case the other options do not fit the correct answer CH Select

Write an equation for the function graphed below 7 6 5 3 1 2 67 a

Find m1 and m23 in the kite The diagram is not to scale 17 C Om21 17 m23 73 Om21 73 m23 17 Om21 73 m23 73

LO bisects NLM LM 18 NO 4 and LN 10 What is the value of X L O 45 07 2 O 5 43 N M

B is the midpoint of AC D is the midpoint of CE and AE 21 Find BD The diagram is not to scale 21 A 11 5 10 5 42 B D

3 In the accompanying diagram PA is tangent to circle O at A chord AC and secant PCED are drawn and chords AOB and CD intersect at E If mAD 130 and m BAC 50 find m P m BEC and m PCA D B E A C P

What is the value of x 3x 4x O 52 3 0 17 03 4 O 52 3x 7 5x 8

In the rhombus m 1 140 What are m 2 and m 3 The diagram is not to scale 1 2 3 O m2 140 m 3 70 Om 2 40 m 3 20 m2 140 m 3 20 O m 2 40 m 3 70

Convert the following to exponential form p 1 log2 4y Select one a 2P 4y Ob 2P 1 y c 2P 1 4y O d p 1 2 4y

Given AABC APQR mZB 3v 4 and m4Q 8v 6 find mB and m4Q SO 11 O 10 022 25

ATUV has vertices at T 7 8 U 1 6 and V 8 4 Is ATUV a right triangle Justify your answer Yes TU is perpendicular to TV Yes TU UV is equal to TV No TU is not perpendicular to UV No TU UV is not equal to TV

Writing Exponential Equations Andrew purchases a new home for 175 000 Write an equation for V the value of the house after n years assuming that the value changes in the following ways V Increases by 7 every year Decreases by 6 every year Increases by 5 every 4 years Decreases by 8 every 3 years Decreases by 1 every 6 months twice each year Increases by 2 every month 12 times each year 175000 1 0 07 x 175000 1 0 06 x V 175000 1 0 05 x 3 175000 1 0 08 x 175000 1 0 01 x 12 V 175000 1 0 02 2 x V V V 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

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