Solution of triangles Questions and Answers

Look at this diagram M J K G H F If G and are parallel lines and mZLKH 48 what is m

between the number and the units For example 22 3 mi 107 8 mi Help Lecture 79 Ex 79 2 1379 Find the distance between Dogfish Reef and Prince Rupert British Columbia Roun 1 d p 53 2 mi Divon Entrance hookahs creat 59 5 58 3 mi Dendas Islan Engi Prarse Island ince Rupert Digth hand

The measurements of the base and altitude of a triangle are found to be 22 and 50 centimeters respectively The possible error in each measurement is 0 25 centimeter Use differentials to approximate the possible propagated error in computing the area of the triangle Round your answer to two decimal places 18 X cm

6 Add the given vectors by using the trigonometric functions and the Pythagorean theorem C 5650 Oc 76 0 D 1280 0 160 0

In the diagram ZBAD CAD If mZBAD 12x 8 and m2CAD 16x find m A 32 degrees

NG EQUATIONS WITH VARIABLES ON BOTH SIDES able Constants 3x 1 3 4 4 2 7x46x 12 20x 4 x 2 3 2x 12 4x 4 What is the Division Subtraction Addition Multiplication

Given that lines a and b are parallel and that m44 128 find m 27 A 32

Given m2 7 50 Find m 1 x A B C 120 140 50

x In triangle ABC cos A x A tan B 7 25 7 Which other expression has a value of 2 25

A X 12 ft 60 foot ladder rests against a brick wall at angle of 60 Which expression gives the value of x th

4 Sean 180 a 270 y 0 90 tales que cos a 2 3 y cot 3 5 7 Encu

Question 16 2 points Find the exact value of tan 2 13 12 O V13 13 O 6 13 12 13 13

In the figure below what is the measure of WXY Z Y 62 73 X

2 In circle Y below which of the following is true a m2UWV m UYV b m2UWV 2 m UYV c m2UWV mzUYV d m2UWV m UYV U Y W

In circle U UV 10 and m ZVUW 72 Find the area of shaded sector Express your answer as a fraction times T W V U

3 Given C 40 and b 20 determine the values of c such that a there are no triangles satisfying the conditions b there is only one triangle satisfying the conditions c there are two triangles satisfying the conditions B

6 8 04 Review In right AHDG mzD 90 If HD 4 and DG is twice the size of HD Determine the length of HG in simplest radical form

Given ZA ZX and XY AB What the third congruence statement needed to prove that AABC AXYZ by Angle Side Angle ASA A ZC Z B ZC ZY c ZB Z LB LY

3 PLAY Use the dropdown menus to complete the proof below Given HD bisects TG and TG bisects HD O STOP Prove AHOT ADOG H Statements Segment TG bisects HD TO OG OH OD ZHOT DOG D V bisects TG Reasons Given

The image shows the angle measures in a triangle A B 2 20 x 15 What is the value of a x 45 ST

2 e tangents of the acute angles in the 53 45 S

Prove AFABAECD Step try Statement ABCD is a parallelogram ZF ZE Type of Statement B Reason Given C

iment you submit answers by question parts The number Scoring mission is used for your score ts DETAILS PREVIOUS ANSWERS LARPCA he identity algebraically Use a graphing utility to check your res 7 cot a 7 csc a 7 csc a 1 cot a the numerator and denominator by a common expression and csc a 1 7 cot a csc 1 7 cot a csc a 1 X

9 Two sides of a parallelogram meet at an angle of 50 If the length of one side is 3 meters and the length of the other side is 5 meters find the length of the longest diagonal and the angles that it forms with each of the given sides

Solve the following word problems Be sure to include your diagram and show all your work 7 From two points on the same level as the base of a tree the angles of elevation to the top of the tree are found to be 24 and 46 If the two points are 42 feet apart and on the same side of the tree how tall is the tree Give your answer to the nearest tenth of an inch

8 08 Perimeter and Area of Rhombi Trapez A B D C In the kite AC 10 and BD 6 What is the area of kite ABCD 15units 30units 45units

If m BAC 17 and m CED 17 are the two triangles ABAC and ACED similar If so by what criterion A yes by SAS similarity criterion B yes by AA sinilarity criterion yes by SSA similarity criterion E D no not possible to tell

D AA C B 120 60 D 60 B F If AABC ADEF the m A 60 and m E 60 what is m C A 90

onsider the following figure which shows triangle ABC 63 20 54 10 36 To find the distance between two points A and B that lie on opposite banks of a river a surveyor lays off a line segment AC of length b 150 yards along one bank and determines that the measures of BAC and ZACB are 63 20 and 54 10 respectively pproximate the distance between A and B Round your answer to the nearest whole numb X yd

From Lesson 8 05 Figures in a Coordinate Plane N 1 4 M 2 1 544 Sunits Gunits 8 5 4 10 n 24 6 10units What is the perimeter of ALMN M L 2 4 m M M

Triangle FGH is equilateral The midpoints of the sides are connected to form triangle XYZ Line segment XY is parallel to line segment FH G Z What type of figure is quadrilateral FXYH kite rhombus trapezoid

Number 1 From Lesson 8 01 Slopes of Parallel and Perpendicular Lines The given line segment has a midpoint at 1 2 1 2 5 3 6 1 What is the equation in slope intercept form of the perpendicular bisector or the given line segment y 4x6 y 4x4 y x 4 y x 6

Which angles are supplementary angles O R N P S U ZRSP and QPS ZQPS and ZOPN Q T ZOPS and QPS ZQPN and RSU

What values of a and b make ATUV ACDE T a b 11 11 5a b 2a 44 U a 2b 5 C E 9a 32 D

What values of y and z make ARSTAHIG T R AN Z 24 2z y 2 S G H 4y z 50 y 20

42 Given a 12 b 15 c 21 find the area a 61 b 88 c 119 d 301

45 Given c 88 B 42 A 65 find Angle C a 73 b 83 c 68 d 63

4 In AABC the m B 90 tan A What is cos B 2 4I3 35 sm 15 C 1 3 2 D

K Find the length of the given side and A B C

Find the value of p in rectangle FGHI F 4p 7 I G 9p 37 5p H

Given Quadrilateral WXYZ with W X YZ and WXYZ Which term BEST describes Quadrilateral WXYZ O A parallelogram OB rectangle O c trapezoid O D rhombus

DIRECTIONS Drag the reason that corresponds to the statements Given the two column proof using the diagram below Which reason can be used to justify statements 2 and 5 D A 1 Given ABDC AD BC Prove ABCD is a parallelogram Statement AB DC AD BC 2 DB DB 3 AABD ACDB C 5 AB DC AD BC B 4 LABD BDC ZADB ZDBC 6 ABCD is a parallelogram Reflexive Property of Congruence Reason 1 Given 2 3 SSS 4 CPCTC 5 6 Definition of parallelogram Alternate Interior Angles Converse

Question 4 1 point TV What is the equation 3 Oy x

x If two triangles satisfy the SAS criteria which

A A C A translation between the two figures maps ZC to ZF B The two triangles shown are congruent by the SAS Theorem Which statements when combin R

x By which rule are these triangles congruent x X A SSS B AAS M N

x If ALMN A XYZ which sta X A NL ZX

6 Describe how Social Security functions

Find the length x to the nearest whole number X Round to the nearest whole number as needed 390 290 520

Directions Select all the correct answers Examine parallelogram ABCD below 9y 2 A B 8x 6 5x 12 D B 9y2 7y 4 C In order to determine the length of each side of the parallelogram which of the following equati would need to be used OA 5x 12 8x6 7y 4 O c 5x 12 8x 6 180 OD 9y2 7y 4 180