Geometry Questions

Type an equation using n

ind the angle of least positive measure in degrees not equal to the given with A 65 Simplif

radians Simplify your answer Typ

Find each measurement indicated 10 Find AB 27 m 16 C 13 Find Z C 80 A 17 7 mi 4 14 5 17 9 19 m Solve each triangle 14 5 in B 97 5 B B 28 7 mi 13 7 in A 25 6 mi C 11 Find AB 6 35 7 7 ZC 37 b 13 cm c 14 cm ZB 39 c 37 km a 23 km 8 A 17 13 in 14 Find 2 C B C 21 yd 93 14 in 9 in B 20 in C 33 27 yd 6 in A B 12 Find AC Answers Note answers may not be to the correct number of significant digits 1 7 yd 12 19 in 2 33 1 yd 13 39 8 3 28 9 m 14 137 15 22 16 LA 18 15 Find ZA 14 in B 16 mi 117 B 8 in C 117 27 in 28 mi 106 61 7 ZB 80 8 ZC 37 5 17 ZA 50 5 ZB 96 5 c 14 8 yd 18 ZA 22 1 ZB 51 9 c 33 in C C B 13 in

2x me complementary angle to IS 5 implify your answer Type a fraction with in the numerato

roblem 3 A rectangular plot of land is to be enclosed by a fence Furthermore an additional section of fence is set parallel to one side cutting the plot into two smaller rectangles If 288 meters of fence are available what is the greatest area of land that can be fenced in this manner

oblem 2 Suppose that a right triangle has legs of lengths 7 cm and 5 cm Note that the legs of a right triangle are the two sides that are not the hypotenuse A rectangle is inscribed in this right triangle so that two sides of the rectangle lie along the legs Find the largest possible area of such a rectangle

22 Given AB DF BC DE and AC EF B A Prove AABD D C AFDE F E

Q i ii A iii iv D 6cm 8cm B Q4 The diagram above shows the net of a right rectangular pyramid in which ABCD is base and 0 0 03 04 are brought together to form the vertex O When the solid is formed ABCD is the base AB 8cm AD 6cm and BO 13cm a Draw a sketch of the pyramid b Calculate the C height of the pyramid volume of the pyramid area of triangle AOB inclination of the triangle BOC to the hoge ABCD

34 Given BA CD ZADB LCBD Br N A Prove AABD ACDB 79 MX

36 Given KN bisects JM JK MN M K Prove AJKLAMNL N

32 Given R is the midpoint of PT 4P T and PRQ TRS Q M R PA Prove APQREATSR S AT 800

33 Given K N JK MN KL NO K K N J LM Prove AJKLAMNO DEL F 0

35 Given PQRS is a parallelogram P Q R Prove ARPS AQSP S OR T X IN

31 Given C is the midpoint of AE BA DE and ZA ZE B A C Prove AABC AEDC JE

24 Given ZJELM JK MN and K N K 0 Prove AJKL AMNO L N M

29 Given PS QR PQ SR P S He Prove APRSARPQ R

23 Given 4P ZS ZQ LT and QR TU AT RS Prove APQR ASTU P

19 Given ABDE BC EF and B E B A C D Prove AABC ADEF E F

20 Given PQ TU P T and Q U MER T P R S Prove APQREATUS U ZOMIA

niyal guibaoqeane 21 Given JK MN KL NO MICT K J Prove LO AJKLAMNO N M

26 Given PR TR P T P R Prove AABC ADBC S ORADE

27 Given LM JM L K 083 M Prove ALKMAJKM 10

07 11 01 MINEMEN 28 Given ABED A D B A C Prove AABC ADCE E OMAREXHIA

Use the figure to solve triangle ABC Round lengths of sides to the nearest tenth and angle measures to the nearest degree A Round to the nearest degree as needed Round to the nearest degree as needed B C O Round to the nearest degree as needed Find the measures of the unknown sides of triangle ABC O b a Round the final answer to the nearest tenth as needed Round all intermediate values to the nearest thousandth as needed 17 36 4 21 2 27 B a 13 7

A large warehouse has dimensions as shown The owner has it subdivided so that he can lease storage space to two businesses The area of the smaller space is 60x ft How could you express the area of the larger space in terms of x a 100 60 ft 100 x ft b 60 2 ft 60 100 C 3x d 60 100 x ft a 60 feet 100 feet

Select the correct equation of the following graph 10 10 10 10

cos alpha 8 17 and alpha is in quadrant III and sin beta 5 13 and beta is in quadrant I Find cos alpha beta

Intensity 2888 8 20 Peak 60 1 50 P 40 30 20 Procedures 1 2 10 40 45 50 hkl 110 200 55 4 Calculate lattice parameter a according to a d h k 1 5 Calculate the averaged lattice parameter a 2 60 65 Two Theta degree From the XRD pattern measure the 20 angle of the peak 1 2 and 3 Calculate and sin20 20 measured from the XRD pattern 3 Calculate lattice parameter d according to the Bragg s law 2dsin 0 2 where is wavelength 1 541 70 0 sin 75 d 80 3 a 85

Ccw counterclockwise 1 Translation 5 right and 5 up YA 2 3 2 1 1 3 Reflection Across the line y 1 YA i 3 2 1 5 Translation 5 left YA 5 2 1 11 2 3 4 12 3 3 4 5 4 5 formations 2 Reflection Across Line y x 4 3 5 2 1 A 3 3 2 4 2 1 1 4 Rotation 90 clockwise about the orig YA 5 2 3 4 1 4 3 2 1 1 2 3 5 V 2 3 3 2 1 1 1 4 6 Rotation 180 about the origin YA 5 3 2 1 1 6 2 1 4 1 5 3 4 2 5 3 4 5 Math Aids Com

H to MOH OH ASsys is expected to be negative a decrease in entropy because two molecules are converted into one molecule O AS sys is expected to be positive an increase in entropy because two molecules are converted into one molecule O AS sys is expected to be positive an increase in entropy because a cyclic compound is converted into an acyclic compound O ASsys is expected to be negative a decrease in entropy because a cyclic compound is converted into an acyclic compound

In the figure above O is the center of the circle and AD 10 If the area of the shaded region is 207 what is the value of a b c d

Write a rule to describe each transformation 19 X X W W Y

Given AD AB ABL BC and AD 1 DC Prove AABC AADC Step Statement AD AB AB LBC ADL DC try Type of Statement Reason Given B A D

Given AB LBC ADL DC and BC AD Prove AABC ACDA Step try Statement AB BC AD 1 DC BC AD Type of Statement Reason Given B

empt in Progress For the pair of compounds below determine whether they are identical compounds constitutional isomers or stereoisomers O stereoisomers O constitutional isomers O identical compounds

9 Using Figure 9 13 below a Draw isobars at 4 mb intervals e g 1004 mb 1008 mb 1012 mb 11 b Label the low pressure center with an L c Draw the warm and cold fronts L49 38 124 31 O 41126 33 O 128 34 22 36 124 28 38 110 41103 30 L48 4 40 088 42 109 36 20 48 126 38 38 448 026 50 52 128 45 096 43 4569 R 40 66 59 d Label a maritime tropical mT and continental polar air mass CP e Outline the area where cloud cover exceeds 75 f Shade the areas receiving precipitation 61 075 57 60 040 48 63 153 61 Figure 9 13 45 114 66 24 60 ras 57 39 084 39 024 61044 57029 54 66 53 70 40 591 39 154 39 4332 41 46 124 43 54 097 43 45 099 66 111 55 71 72 69171 64 61 60 9 149 45 163 8 4 1 11

Given a parallelogram ABCD with D lying inside the outer circle ABC Point E is the point of intersection of the outer circle ABC with line BD where E B Point F is the point of intersection of the outer circle AABC with line CD where F C It is known that AEC 55 and EAF 30 2 DAE is A 35 B 40 F E B C 45 D 50

1 By using the midpoint formula show that the axis of symmetry of the parabola b 2a y ax bx c is x uloz 1091 vnom woH 21500 d

Graph the equations b y 4 3 x 2 7

11 Are the two shaded triangles below similar If so then what is the scale factor If not why are they not similar 5 8 cm 4 5cm 6 7 3 48 cm 27cm 4 02 cm

What mass of reactants are used during the reaction Hydrogen Bromine Hydrogen Bromide 16 25 g g Give your answer to the correct number of significant figures g Hydrogen Bromide

The use of the set of axes below is optional 24 16 Line n is represented by the equation 3x 4y 20 Determine and state the equation of line p the image of line n after a dilation of scale factor 3 centered at the point 4 2 Explain your answer The use of the set of axes below is optional

Triangle sum theorem The sum of the interior angle measures of a triangle is 180 A D 1 Proof B 1 DE 2 Given AABC with DE AC Prove ml m 2 m 3 180 2 21 DBA 3 C F 3 m1 m DB 1 Civer Oiver

HW8 3 Centroid of a Composite Area Consider the composite area shown below all dimensions in mm Determine the coordinates of the centroid relative to the x y axes shown 18 10 0 9 0 9 74 11 0 7 31636207570 10 0 11 0 8 0 mm X 0

72 Consider the following experiment You are one of 100 people enlisted to take part in a study to determine percentage of nurses in America with an R N registered nurse degree You ask nurses if they have an R N degree The nurses answer yes or no You then calculate the percentage of nurses with an R N degree You give that percentage to your supervisor a What part of the experiment will yield discrete data b What part of the experiment will yield continuous data

8 When asked to state the nature of the roots for you are a Finding the location of the x intercepts b Finding the location of the axis of symmetry Determining the number of x intercepts d Determining the direction of opening

Refer to the given diagram with FB DE Which figure has the greatest measure Om ACE O Arc BD O m FBE D 78 F 50 E

Solve the right triangle with a 4 and c 10 State exact answers as discussed in the notes Remember use sin or cos to find the exact angles b Do not round until the final answer Exact only Do not round until the final answer Exact only B Do not round until the final answer Exact only

a Starting with the graph of f x 2 write a function that results from shifting f x down 4 units and reflecting f x about the y axis f x P b Graph function found in Part a Drag the two blue points on graph to the correct points that f x passes through Then use the remaining red point to drag the horizontal asymptote to the correct line Note that all three points are adjusted in increments of 1 4 Y