Solution of triangles Questions and Answers

19 Given Find m RST 2x 10 m TSV x 6 m RSV 4 x 6 x and m RSV

Find all angles that satisfy the equation 64 cos x 20 12 Use k for the number of rotations Separate your answers with a semicolon Degrees Radians Draw a picture of all angles between 0 and 360 in standar position and label the terminal points on the unit circle Draw the reference angles on the same picture not in standard position Label all angles in degrees and

For adults in the town of Bridgeport systolic blood pressure is normally distributed with a mean of 132 mmHg and a standard deviation of 10 mmHg What percentage of adults in the town have a systolic blood pressure less than 112 mmHg Use the 68 95 99 7 rule OO A 97 5 B 5 C 95 D 2 5

7 Let A B and C lie on a straight line as shown near Exercise 8 Classify these claims as true or false a B lies between A and C b AB is a ray with endpoint B

9 113 A 18 Similar Triangles 22 C 45 12 113 D 4X

For Parts A D 1 Part A Angles 3 6 2 Part B Angles 2 5 3 Part C Angles 3 7 4 Part D Angles 4 5

Solve equation for 0 0 2 2tan 0 sec 2

Use the law of sines to solve the triangle if possible A 34 3 a 25 b 29

2 7 1 If F is 125N and F is 50N and is 60 and 0 is 130 find the resultant force 2 0 0 1 F

all solutions of the equation in the interval cos x pi cosx sqrt 3 0

degrees 2 245 degrees 3 20 degrees 4 95 degrees For problems 5 6 convert the degree measure into radians Write your answer as a decimal rounded to the nearest hundredth 5 75 degrees

29 27 Find the values of a and b A a 9 b 9 2 B a 18 b 9 3 C a 9 3 b 18 D a 3 3 b 6 3 E a 9 2 b 18 O A OB O C O D b a

8 Find the value of x 9 50 6 89 O 9 O 5 79 O 10 73 X 9

Find the circumference of the circle Leave your answer in terms of c yd Type an exact answer in terms of

The figures are similar Give the ratio of the perimeters and the ratio of the areas of the first figure to the second 44 35 Select one 4 7 and 25 64 b 4 7 and 16 49 c 5 8 and 25 64 d 5 8 and 16 49 a

Find TU U V Write your answer as an integer or as a decimal rounded to the nearest tem TU

points Write a general formula for all solutions to the equation 2 sin 50 3 0 Use exact radian

Fill in the blanks below a A car corporation produced 1000 more cars this month than last Write a signed number to represent this month s change in production 1 b A hibernating animal lost 3 pounds Write a signed number to represent this weight change 1

16 iven BD bisects LABC LA LC Pune AB BL 3 Steps BD bisects LABC LA LC BD BD 4 LABD LCBD AB BC A B D Reasons Given Cel Given Identity C Definition of Bisector AAS

1 6 iven BD bisects LABC LA FLC Puse AB BL Steps BD bisects LABC LA LC BD BD LABD LCBD AB BC D Reasons Given Given Identity Definition of Bisector AAS

1 Consider the right triangle ABC given below B C 25 b 25 A Part I Use the 25 angle and the sine ratio to find the length of side b to two dec places 2 points Part II You can find the length of side a using cos 25 tan 25 or the Pythagorea theorem Find the length of side a to two decimal places using one of these methods 2 points

14d Determine the length of the missing sides for each special right triangle Leave answer in exa reduced radical form a 300 18 C 60

Find the value for x C 8 E x 9 G F 3x 3 4 D

QUESTION For each triangle check all that apply Triangle A 60 000 60d Scalene Isosceles Equilateral 60 00 EXPLANATION 7 Triangle B 11 Scalene Isosceles Equilateral 5 Triangle C Here are some common ways to classify triangles 30 Scalene Isosceles Equilateral 60 4 Triangle D 8 8 Scalene Isosceles Equilateral

the triangles given have easy side lengths I am more so looking for the algebra showing the three triangles are congruent if possible The three triangles are known to be similar by A A A If the are of 3 you know same is three angles are it possible to show they side length congruent given each one

answering the questions below 35 54 90 Triangle NYE angles of a triangle and the lengths of the sides opposite them be SQUIT F T 1380 810 Measures of the Angles mich INAY HDZF 1640 well mal 20 PU 480 FY LF LY TU QT QU MG 1030 G Lengths of Sides Opposite the Angles M

Replace each with or to make a true sentence 18 D 19 G H 20 3 E m43 m 1 75 MLG 75 K M Co m48 m26 m27

Identify the angle with the greatest measure 15 K 2 3 km L 16 7 6 km 5 8 km M 19 in B J 16 in 14 in Z 17 T 6 mi R 5 mi 155 N

Determine whether each pair of triangles is congruent by SSS SAS ASA or AAS If it is not possible to prove that they are congruent write not possible 19 A 21 B R K C E S 20 F E G 22 T U X H

To receive full credit for the following questions show as much work as possible 16 PR and QT are diameters of OA Find each measure A mRSU B mPQS U P 40 50 40

Find the area of the kite below to the nearest tenth Be sure to label the unit 5 cm 3 cm 3 cm 3 cm

The two triangles below are similar 15 I 36 40 10 104 K X 40 18 104 30 20 W Complete the similarity statement AUK A What is the similarity ratio of the first triangle to the second triangle Simplify the similarity ratio and write it as a proper fraction improper fraction or w number

8 Which triangles are congruent and by what theorem you can just give the names no proof needed for this one Find x and y A E 2x ry B 4x 10 D Sx 15 C F

Solve the triangle with the given measures a a 3 4in b 2 6in and C 48 b a 6 b 8 c 10

3 Find LDAB and ZCAB D A X 30 x 30 E B

of the two triangles ABC and DEF are similar Find the measure of AB A B 3 6 OAB 1 28 AB 1 66 AB 2 5 AB 8 4 E C 3 6 7 8 D 4 9 F

12 2cm EA 80m A b Find the values of X and y 12cm 13 5 a What scale factor is applied to triangle A to create triangle B Explain your reasoni B 6 F B X

You may use a calculator and your reference chart 1 Select all the true statements for triangles ABC and XYZ B A ZA ZX B ZX ZC AB C XY A BC D AC 12 Similarity End of Unit Assessment BC XZ YZ XZ 20 16 C X 3 Y 5 4 Z

Find the measure of ZBAC A B 86 H C

Find the missing angles x Y 74 U1 C O O

A bag contains 8 marbles of different colors How many ways unique ways or orders can you select 3 marbles

The school jazz band has 4 boys and 4 girls and are randomly lined up for a yearbook photo Find the probability of getting all of the boys grouped together

Find the probability using permutation with repetition There are 2 mystery books 2 romance books 2 poetry books to be randomly placed on a shelf What is the probability that the mystery books are next to each other the romance books are next to each other and the poetry books are next to each other For example MMRRPP

Find the area of the parallelogram cm Simplify your answer 16 cm 13 cm 19 cm

It is given that AC AD and CAB ZDAB A C B D Part A Write a paragraph proof to prove AABCAABD Explain in complete sentences each statem and reason Be sure to give the reason the two triangles are congruent Part B Now that you have proven the two triangles are congruent can you show that ZCBA ZDBA Fynlain your reasoning in a complete sentence

as follows American Full Size 12 9 Mid Size 18 21 Compact 12 Japanese European 8 For a single car chosen at random from the cars on this dealer s lot let A be the event that the car chosen is American and B be the event that the car chosen is compact a For a single car selected from this dealer s lot find P A and P AIB Explain your answers 4 pts 15 b Are A and B independent events Explain 2 pts 12 6 S

Marcus said that these two triangles were congruent by Hypotenuse Leg HL Why can t these triangles be proved congruent by HL What postulate could you use to prove them congruent Be sure to answer both parts for full credit and give your answers in a complete sentence

What is the missing reason 5 in the proof below Given AC CE DC BC A X C B Prove ZB ZD Statements 1 2 3 ZACBEZDCE 4 AABC ADEF 5 B 2D Reasons 1 2 Given 345 D E

What reason allows the following statement and conclusion to be true Statement Point N is between Points J and K Conclusion JN NK JK Multiplication Vertical Angles Segment Addition Postulate Definition of Midpoint

The degree measure of an angle in a right triangle is x You are given that sin x 3 Which of these expressions is also equal to 0 a cos x 45 b cos 60 x c cos x d cos 90 x e cos 45 x