Geometry Questions

Determine which of the following are singular value decompositons for A 2 3 4 3 13 3 2 713 Ols an SVD O Is NOT an SVD 6 13 13 3 13 VIB VIB Ols an SVD Ols NOT an SVD V13 9 6 13 13 Ols an SVD O Is NOT an SVD RE 1 Is an SVD 30 03 30 03 0 2 3 0 3 11 0 3 13 3 3 13

Find the sum of the measures of the angles of the figure O 1260 O 540 O 900 O 720

Writing Linear and Exponential Equations An investment is initially worth 11 600 Write an equation representing the value of this investment V after t years in each of the following situations a The value decreases by 6 per year b The value decreases by 800 per year c The value increases by 633 per year d The value increases by 12 per year NY1 V V V V

Find the values of the variables in the parallelogram The diagram is not to scale 31 96 O x 31 y 53 to z 127 Ox 31 y 53 z O x 53 y 53 z 127 O x 53 y 31 z 96 96

Sean is hiking the Appalachian Trail from Georgia to Maine The distance of his hike is 2200 miles It took Sean 134 days to complete the hike The data below represent the distance D he had hiked t days after the start of his trip t D t 0 0 19 308 34 578 67 1070 1 Determine the linear regression equation for this data Linear Regression Equation D 3 004t 16 96 57 Round to the nearest tenth as needed In 57 days Sean had hiked 969 724 X miles 91 1715 X 112 1902 2 Interpret the meaning of the slope of this regression model Sean hiked at a rate of approximately 16 96 X miles per day 3 Use your linear regression equation to estimate the total number of miles Sean had hiked in 57 days Round your answer to the nearest mile 134 2200 OF 4 Use your linear regression equation to estimate the total number of days it took for Sean to hike 411 miles Round your answer to the nearest day In 24 days Sean had hiked 411 miles

Which statement can you conclude is true from the given information Given is the perpendicular AB bisector of IX I A J to B K O A is the midpoint of IK O AJ BJ O ZIAJ is a right angle

Type the correct answer in the box Round off your answer to the nearest tenth Jill is standing at the base of her apartment building She measures the angle of elevation to the top of a nearby tower to be 40 Then Jill goes to the roof of her apartment building directly above her previous position and measures the angle of elevation to the top of the same tower to be 30 If the height of the tower is 100 meters the height of Jill s apartment building is meters

Q3 In the equation 4x 9y2 16x 36y 56 0 make the below transformations x x h y y k Choose the constants hand k so that there are no x and y terms in the new equation Find the new equation in the x y system in this way A 3x 2y 6 B 4x 9y 2 36 12 C 9x 4y 36 D 3x 4y 56 0 E 4x 3y 56 0

Name the second largest of the four angles named in the figure not drawn to scale if the side included by 21 and 22 is 11 cm the side included by 22 and 23 is 16 cm and the side included by 23 and 21 is 14 cm 42 O Z4 O Z1 3

Prove that the triangles on the grid below are congruent by using the following methods 1 SSS 2 SAS Explain all of your reasoning CO O E

H Jeremy is painting this portion of the basketball court How many square feet will he paint E 13 ft 6 ft Maneuvering the Middle LLC 2017

O False Question 6 1 5 pt In any situation three kinds of implications may be involved possible ones probable ones and impossible ones

he rate of depreciation of a building is given by D t 2000 10 t dollars per year 0 t 10 see the following figure D t 20 000k 15 000 10 000 5000 2 4 6 8 10 a Use the graph to find the total depreciation of the building over the first 5 years t 0 to t 5 b Use the definite integral to find the total depreciation over the first 5 years

Use the graph of f z shown below to 10 9 8 7 654 3 12 10 8 4 16 To 36 2 4 6 8 10 2 12 5 6 7 8 9 IC a Find f 0 b Find f 5 c Find f 4 d Find the value s for z when f z 0 Find the x intercept s Write as order pair s f Find the y intercept s Write as order pair s NOTE If you do not see an endpoint assume that the graph continues indefinitely in the same direction g State the domain using interval notation solve first then put value

Use the graph of f z shown below to answer the 10 9 8 LA de 6 5 a Find f 0 b Find f 5 B 4 TO m 0 IN 12 10 8 6 1 to 2 4 6 8 10 12 1 2 3 c Find f 4 d Find the value s for a when f z 0 4 5 6 e Find the x intercept s Write as order pair s f Find the y intercept s Write as order pair s 7 8 9 IC

The length of DE is shown What other lengths can you determine for this diagram Choose all that apply I F EF 6 5 DF 12 E No other length can be determined ODG 6 D

A 25 ft ladder leans against a house Suppose the ladder is leaned against a house at an angle of 0 48 y X 25 A Find the distance from the base of the house to the foot of the ladder b Find how far up the side of the house the

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