Geometry Questions

10 ABC ikizkenar dik gen DC AB AC 1 BC AC BC AB BD Yukar daki verilere g re m AED x ka derecedir A 50 B 60 C 62 D 70 A E B E 75

17 An acute angle is an angle whose measure is less than 90 18 If two lines intersect to form a right angle then the lines are perpendicular 19 A diagonal is a line segment that connects any two vertices of a polygon

A national automobile association determines that the mean fuel consumption for vehicles in a particular state is 23 6 miles per gallon with a standard deviation of 5 8 miles per gallon If a Normal model is applicable approximately what percent of vehicles in that state should get between 28 and 30 9 miles per gallon Use a calculator or a Normal distribution table to help calculate your answer to the nearest tenth of a percent A 10 4 B 12 0 C 30 9 D 22 4

X is normally distributed random variable with mean 63 and standard deviation 6 The probability that X lies between 45 and 81 is Note Write your answer as a decimal rounded to the nearest thousandth

he following balance sheet for the Los Gatos Corporation was prepared by a recently hired accountant In reviewing the statement ou notice several errors Cash Accounts receivable Inventory Machinery net Franchise net Total assets LOS GATOS CORPORATION Balance Sheet At December 31 2024 Assets Liabilities and Shareholders Equity Accounts payable Allowance for uncollectible accounts Notes payable Bonds payable Shareholders equity Total liabilities and shareholders equity 44 000 86 000 57 000 122 000 32 000 341 000 54 000 7 000 59 000 112 000 109 000 341 000 Additional Information 1 Cash includes a 22 000 restricted amount to be used for repayment of the bonds payable in 2028 2 The cost of the machinery is 194 000 3 Accounts receivable includes a 22 000 notes receivable from a customer due in 2027 4 The notes payable balance includes accrued interest of 7 000 Principal and interest are both due on February 1 2025 5 The company began operations in 2019 Net income less dividends since inception of the company totals 37 000 6 52 000 shares of no par common stock were issued in 2019 200 000 shares are authorized equired repare a corrected classified balance sheet Use the additional information to help determine appropriate classifications and account

A A m AED 4 X 4 AU 2 B DC LAB AC BC IACI IBCI JABI IBDI

3 3 If two secants P and PC of a circle meet the circle at A B and C D respectively then PA x PB PC x PD 6 Ac

R H K C M La b N Name a point that is collinear to point L 1 Points have to be in capital letters Name another name for line b Name the intersection of line c and plane R Name a point that is non coplanar to plane R Name a side of HKL Ray start at the vertex and continue out Hint Hint Rays have to

In the diagram below if JL 10x 2 JK 5x 8 and KL 7x 12 find KL J X KL 1 K L

Solve for m DEF if m DEG 58 and m GEF 58 B E G D

Which angles are adjacent angles B E H F C A ZBCF and BCA ZBCF and ZGFH D G ZBCF and ZEFC ZBCF and GFC

The midpoint of AB is M 1 3 If the coordinates of A are 3 1 what are the coordinates of B

BD and EG are parallel lines B E A C F ZDCA and LGFC HA ZDCA and GFH D Which angles are adjacent angles G ZDCA and DCF ZDCA and LEFC

CE and FH are parallel lines C F B D G LCDG and ZEDB I LCDG and ZFGI E Which angles are corresponding angles H LCDG and ZCDB LCDG and ZFGD

Which angles are alternate exterior angles F I E G ZIJL and ZFGJ ZIJL and ZHGJ H K ZIJL and ZHGE ZIJL and ZFGE

Consider the following graph of a linear equation 6 5 Find the slope of the line m T Find the y intercept Enter a point 6 5 4 3 2 0 1 3 2 1 0 1 2 3 4 5 6 2 3 3 0 5 6 Enter the equation of the line written in slope intercept form y mx b

2 A B and C are the centers of the 3 circles How many equilateral triangles are there in this diagram B

4 If m23 54 find each measure a m1 b m 2 c m 4 d m25 e m26 5 11 12 14 13 f m27 g m28 h m 9 i m 10 j m 11 k 1 m212 m 13 m m 14

Triangle ABC has the following coordinates A 1 1 B 5 4 C 4 1 and Triangle ABC will be translated 3 units right and 6 units up 1 Write a coordinate rule to describe the translation 2 What will be the coordinates of the image of point A

Find the coordinates of the vertices of the figure after the given transformation Take the following coordinates and translate each point 2 units down D 4 1 A 2 5 S 1 4 N 1 2 D 4 1 A 2 5 S 1 4 N 1 2 D 4 2 A 2 6 S 1 3 N 1 1 D 4 1 A 2 3 S 1 2 N 1 0 D 3 1 A 3 5 S 1 1 N 1 2

K Question 9 2 Use the currency exchange rates in the table for the following question You arrive in Montreal with 580 How many Canadian dollars can you buy You can buy Canadian dollars with 580 Simplify your answer Round to two decimal places as needed

Perpendicular Bisectors Cool Down Walk the Line Here is a hallway with lasers Laser 1 You Laser 2 Imagine that you must cross the hallway while staying an equal distance from each laser If you get closer to one laser than the other it will blast you Use a compass and straightedge to draw a safe path through the hallway

Use the given information to find mZA mZD 117 mZA 2x mZB x 39 mZA

3 T I K 5 Find KL 9 E K 7 7 Find EC K U 10 32 D 20 26 H 49 G 11 16 30 K H L B 2 R 4 c G S K 6 Find HJ K 14 IK 8 Find IK H 13 D 30 12 49 K T 31 E 12 Points A B and C are collinear Point B is between A and C Find the length indicated L

11 AC 3x 3 AB 1 2x and BC 11 Find x Solve for x 13 N B x 6 H D Find the length indicated 15 Find CE 3x 47 17 Find DE 27 x M 3x 28 C 9 23 E L 33 D 3x 30 H x 26 F 2x 19 Critical thinking questions 10 x K E G 12 AC 22 BC x 14 and AB x 10 Find x 14 s H B 16 Find BD HE 14 13 18 Find EG F T 2x 4 C 4x 29 HE F 6 2 x 23 U 3x 1 D 26 X A 14 x 2x 18 2x 3 12 H G V H addition problem using three

a m EBG 60 m FBG 2 m EBF 21 What is m EBF

B BA DE KAL BC KE LFC m DCF 2 m BCF m EDC 125 E m ABC 44 Yukar daki verilere g re m AKE x ka derecedir A 133 B 137 C 140 D 143 44 Kox FO A 125 D E 147

In the image below you can slide the point along the curve to visualize this scenario 5 0 5 2 1 5 Enter the coordinates of the closet point Round each coordinate to two decimal places

In triangle ABC angle A is 60 and C is a right angle The length of side bis 9 as shown Find the lengths of the other sides and c Give the exact answers but you may not use sin cos or tan Use sqrt 3 or 3 5 for 3

e g e g a 1 b Function y 3x 1 y x 2 d g x x 8 2 5 y x 7 3 0 y 5 x 2 1 h x 6 x 4 1 f x 1 x 8 3 y 2 x 3 h x x 5 7 y x 7 6 ying the transformations Two examples have been completed Horizontal Translation 3 5 7 none 2 8 7 2 4 none Vertical Translation none 1 7 none 5 3 Reflection in the x axis no yes Vertical Stretch 2 none 5

Which of the following represent deductive reasoning Select all that apply The measures of the two angles in a linear pair add to 180 ZNTR and ZMKG form a linear pair so the measures of NTR and ZMKG add to 180 Birds fly south for the winter A penguin is a bird so it will fly south in the winter The sum of the measures of the interior angles of any triangle is 180 Polygon QAG is a triangle so the sum of the measures of its interior angles must be 180 Traffic is always busy on Friday afternoons at 4pm It is Friday at 4pm so traffic will be busy All rectangles are quadrilaterals A square is a rectangle so a square must be a quadrilateral

21 3 900

Triangle DEF is rotated about point P Find the measure of ZF P D D E 42 69 E F

Triangle DEF is translated 7 units right and 10 units up Find the length of D F 7 D E 12 F

Soru 10 B 17 D 4 A 7 E X C ABC geninde m AED mA AD 4 br DB 17 br AE 7 br Buna g re EC x ka birimdir A 5 B 6 C 7 D 8

raph the equation 40 y2 2x Ay 43 4 2 2 2 2 4x Evaluate the expression 41 2x 3y 6 4 2 41 2 2 4 2 4x

open top rectangular box is to be made from a piece of cardboard 26 inches long and 8 inches wide by cutting out identical squares from the four corners and turning up the sides In the image below you can adjust the location of the point to visualize different possible boxes Let x be the side length of each of the removed squares from the corners Express the volume V of the resulting box as a function of x V x powered by desmos What is the domain of this function Use interval notation Find the dimensions of the box that yields a maximum volume Round your answers to two decimal places

Which of the following is equivalent to 1tan 0 1 tan 0 2 sin 0

Lesson 1 Practice Problems Here is a diagram of a straightedge and compass construction C is the center of one circle and B is the center of the other Explain why the length of segment BD is the same as the length of segment AB O

xly 2 2603 7 3x 2y 10 1157 0 6 2 10333 2 3 4 321 8 2y 4x 6 29 12 6 1 3200 0 32610 26 P 345 2 i Sy 6 12 M 4 1 1 9 y 3 1 1 4904 IMI 4 7 T LL 1 3

a y b PQ c QR 13 If AC 63 AB 4z 9 BC 3z 12 find the value of z Then find the length of AB and BC AC AB BC 42 9 32 12 63 72 24 63 21 L N 21 84 L 2 12 14 If DE is the same value as EF DE 3x and EF 2x 8 find the value of x Then find the length of DF Part 3 Construction Use a compass and straightedge only 15 Construct a circle L 7 Construct a semicircle by using the radius NO A D E 16 Construct a circle C by using the radius CD 18 Construct a quarter circle by using the radius NO

sin 0 tan 0 csc 0 sec 8 cot 8 Need Help Submit Answer 3 5 Points sin 0 cos 0 Find the values of the trigonometric functions of 0 from the information given csc 0 4 0 in Quadrant I tan 0 Read It sec 0 DETAILS Watch It

The angle 0 is an acute angle and sin i 180 Use the Pythagorean identity sin 20 cos 0 1 to find cos 0 8 www cos 0 Simplify your answer Type an exact answer using radicals as needed Rationalize all denominators

For a 2D problem given any combination of forces the direction of ALL moments created by those forces will ALWAYS be in what direction Explain why F d Mo O Sense of rotation Moment axis Mo O Sense of rotation

C 21 3 X 66 4

C 21 3 X 66 4 y

2 A ladder KM is 8 5 m long It leans against a wall so that L M 30 and AKLM is a right angled triangle M

3 Scientists measure the depths of lunar craters by measuring the length of the shadow cast by the edge of the crater using photos In a photograph the length of the shadow cast by the edge of the Moltke crater is about 606 metres given to the nearest metre The sun s angle of elevation is 65 Find the depth of the crater giving your answer rounded to the nearest metre

4 The height of a building is 72 m Find the angle of elevation from a point on ground level that is 55 m away from the base of the building 5 From a boat 160 m out at sea the angle of elevation to the coast is 18 The angle of elevation to the top of a lighthouse on the coast is 22 a Draw a diagram representing the situation b Find the height of the lighthouse

1 The angle of depression from the top of a cliff to a boat at sea is 17 The boat is 450 m from the shore Draw a diagram representing the situation Find the height of the cliff giving your answer rounded to the nearest metre 2 A family wants to buy an awning for a French window that will be long enough to keep out the sun when it is at its highest point in the sky The height of the French window is 2 80 m The angle of elevation of the sun from this point to the bottom of the window is 70 The awning will be 90 to the window Find how long the awning should be Write down your answer correct to 2 dp a b