Geometry Questions

d A a C Y AB BC

B3 Find BD 8 6 D 12 X B

Solve for x 15 B A D 2x 4 18 8 C

B6 Solve for RQ R 10 48 T 3

Solve for x 21 15 35

ve for x B x 3 9 4 A 6 C

Solve for x B 35 15 21 XU x 1 C

Find mzSQR if m 2 13 S P 2 Q

A3 Find BD 9 9x1 6 12x 16 144 12x 12 12 12 X 12 9 A D 16 B

Find xif m22 1 28x and m2XVW 59x 1 V 2 1 W P

Find xif m22 4x 5 and m21 5x 2 Y X Z

B D 2 A 2x 2 5 C

Esperanza is the owner of an independent motel that has 40 rooms She finds that if she charges 30 per night all the rooms will be rented Thereafter for every 4 she raises the room rate 3 fewer rooms will be rented out 2 12 Write a function equation for the number of rooms rented as a function of the price of a room 5 13 Write an equation describing the income for the motel for one night as a function of the price of a room

A1 m SUT 34 Find m21 S P 2 T

X 1 Solve for x for 2 of the followi 370 63

Transversals Use your knowledge of angle relationships to find all the missing angle measurements A A A 30 E E 75 E 111 F B D B A D B A C D E C A C 143 E 99 64 E F B D B D B D

Question 10 Triangle KLM is formed by connecting the midpoints of the side of triangle HIJ The lengths of the sides of triangle HIJ are shown Find the perimeter of triangle KLM Figures not necessarily drawn to scale M Watch Video K 10 Show Examples

Question 8 Watch Video 4 Triangle STU is formed by connecting the midpoints of the side of triangle PQR The lengths of the sides of triangle PQR are shown What is the length of SU Figures not necessarily drawn to scale T Show Examples

Question In the diagram below of triangle HIJ K is the midpoint of HJ and L is the midpoint of IJ If m JIH 8r 80 and m LJLK 68 6x what is the measure of ZJLK 4 K H L Watch Video Show Exam

Question In the diagram below of triangle HIJ K is the midpoint of HJ and L is the midpoint of IJ If m JIH ZJLK 68 6x what is the measure of ZJLK K H Watch Video Show Examples 8z 80 and m

Identify all pairs of angles of the given type 1 8 2 3 a consecutive interior b alternate exterior Exercise 3 c corresponding d alternate interior 76 45 Classify the pair of numbered angles in the figures below as one of the following corresponding alternate exterior or alternate interior X 4 5 5 4

The given line markings show how the roads in a town are related to each other J N 49 F LA M K GH HUM a Name a pair of parallel lines L c Is ray GN 1 line JL Explain 62 b Name a pair of perpendicular lines

1 Think of each segment in the figure as part of a line Which line s or plane s appear to fit the description A E F D H C G a line s parallel to line GH and containing point F b line s skew to line GH and containing point F c line s perpendicular to line GH and containing point F d plane s parallel to plane GHD and containing point F

Find the equation of a line in slope point form that 6 passes through the points 6 9 and 2 4 Now rearrange to slope intercept 7 passes through the point 2 3 and is perpendicular to the line y 2x 3 Now rearrange to slope intercept

11 Write an equation of the line that has an x intercept of 3 and a y intercept of 2 Slope Intercept form Slope Point Form STANDARD Form

AABC is the pre image f the length of AB is 31 and the length of XZ is 25 what is the scale factor round to the nearest ten place A C N B

1 In the following diagram A f h B g C ABC is a triangle Given that B 105 ZC 43 and h 13cm a By using sine rule find the length of f b By using cosine rule find the length of g c Find the area of triangle ABC 3 marks 3 marks 3 marks

Use your classwork to fill in the blanks for all the properties of kites All kites have pair s of congruent sides to each other The diagonals of all kites are All kites have at least one diagonal that is All kites have at least one diagonal that bisects the angles at its All kites have at least pair s of congruent angles

2 Draw in the diagonals of the kite below and use the properties of a kite to mark congruent segments congruent angles and perpendicular segments CW LCW HW

Han invests 13 000 into a fund that combines stocks and bonds The return varies from year to year The balance at 5 year intervals is given in the table below The goal of this exercise is to find constants a and b such that the model y ae best fits the data In order to do that we apply the natural logarithm to both sides of the model This yields In y In ae and using properties of logarithms In y In a Ine In y In a bt If we let Y In y c In a and c b the problem now reduces to finding the linear fit Y q c the set of dats point and A the problem now reduces to ending the linear 1 Yar 0 5 10 15 201 25 481 b 16 in 182 n 1992231 Part b art a The sectos 1 andy have already been created for you Compute a veckor by evaluating the natur ogerim of yote tut the natural lopapeis entered aning in MATLAB Create the marrix X for the near Create the vector t 0 5 10 15 20 25 y Balance 1 000 13 14 5 16 18 2 19 9 22 3 Create the mass Find the dolasky decomposition of S and store EU Solve the angular system Sobe the tangular system cw using the backslash Compute le the best fit use in the backslash command Computea varabies a undb spectively Et figure mena new u Pantal upper case Use o to plot point fit togethe original data points Use Linviath 2 and axis tight your polise style and color the Ine black Rheum by ting told off T dwhen and e are the values you found in part o w the authe

32 T 24 B V 19 W 21 S 1 RS 3 WS 5 TW 38 2 TQ 4 QV 6 WV

8 Find AP 11x 14 E C

Find the unknown angle measures m P 0 Q N 138

Although there are clear benefits to free trade governments impose quotas to pre quantity of products that can be imported into a country The figure below illustrates the effects of a quota placed on shoes Without trade the equilibrium domestic price of a pair of shoes is 140 With free trade the domestic price of a pair of shoes falls to the world price of 100 If the government imposes an import quota the domestic price increases to 120 Use the information in the figure to answer the questions that follow 1st attempt Part 1 1 point When there is no quota Part 2 1 point With the quota Part 3 1 point Price Po 140 Pa 120 Pw 100 H C D 350 20 150 B 200 pairs of shoes are imported pairs of shoes are imported Soomestic only 400 Domestic S Stree trade Quantity shoes See Hint See Hint See Hint

Actual lengths of pregnancy terms for a particular species of mammal are nearly normally distributed about a mean pregnancy length with a standard deviation of 10 days About what percentage births would be expected to occur more than 30 days after the mean pregnancy length About of births would be expected to occur more than 30 days after the mean pregnancy length Type an integer or a decimal

5 Locate the points A 4 4 2 B 4 4 2 and C 4 4 2 using coordinat axes that you construct yourself Draw the corresponding rectangular box prism for each and label the coordinates of its vertices

In circle O the length of PQ and m POQ 120 Find the area shaded below Express your answer as a fraction times 7 P

14 Given the points A 2 1 3 and B 4 1 3 determine the coordinates of the point on the x axis that is equidistant from these two points

6 Match each angle with its diagram a 300 i iv b 120 ii v c 765 d 650 iii e 560

21 sin 150 22 tan 945

0 A 67 Round to the nearest degree as needed A C b 11 32 m Do not round until the final answer Then round to the nearest hundredth as needed C 15 21 m Do not round until the final answer Then round to the nearest hundredth as needed 44 B

Sketch the region enclosed by the given curves 5 5 10 y 10 5 TEACHER y 7 cos x y 7 7 cos x 0 x T 0 5 10 1 5 2 0 2 5 3 0 0 5 1 0 1 5 2 0 Find the area of the region 2 5 3 0 ANOTHER X X 5 10 10 5 5 10 U S 1 0 0 5 1 0 1 5 2 0 2 5 3 0 2 0 2 5 3 0 X X Q

ger ek say larda tan ml do rusal aksiyon ve F 2x 1 f 3x 15x 5 du una g re f 10 de erini bulunuz

r fonksiyondur f 2 4 uguna f 4 14 g re f 10 de erini bulunuz

Determine the remaining sides and angles of the triangle ABC where A 118 45 B 37 95 and b 120 feet C 23 6 www a feet Do not round until the final answer Then round to the nearest tenth as needed

In the figure a line segment of length L is to be drawn from the given point to the positive x axis in order to form a triangle For what value s of L can the following be drawn a two triangles b exactly one triangle c no triangle a For what value s of L can two triangles be drawn Select all that apply AL 4 A L 5 B L 4 BILB AL 5 b For what value s of L can exactly one triangle be drawn Select all that apply B4 L 5 C L 5 L 5 c For what value s of L can no triangle be drawn Select all that apply B L 4 D 4 L 5 C L 5 DL 4 XD 4 L 5 3 4 EL 5 DE L 4 EL 4 Similar question

7 Determine two other angles that have the same trigonometric ratios as each given angle a sin 60 b cos 230 d sin 150

Find the magnitude and positive direction angle of the The magnitude of the vector is 8 Simplify your answer The direction angle is Simplify your answer Use angle measures greater than or equal to 0 and less than 360

Watch the video that describes Using to solve a triangle SAA Click here to watch the video Find the exact length of side a Do not use a calculator 159 Length of a 1 120 B B 3 Simplify your answer Type an exact answer using radicals as needed Rationalize all denominators

23 sin 960 AY x