Solution of triangles Questions and Answers

height 3 ft ramp surface base e Design a ramp that complies with the ADA requirements Show the length of the ramp surface the base length and the angle of elevation from the ground

Use triangles to find the sum of the interior angle measures of each polygon a b

Find the value of x in the triangle X the following Classify the triangle in as many ways as possible Select all that apply acute equiangular equilateral isosceles obtuse Oright scalene b Consider the following 48 Find the value of x in the triangle X equiangular equilateral isosceles obtuse right Classify the triangle in as many ways as possible Select all that apply acute 61 poslane X

Which of the following shows a different way to tessellate the shape in the figure above Select all that apely 0 Describe a real life application that might involve a tessellation of this shape 15 8 317 6320 2001 02E YOUR TEACH

Find the value of x for the triangle TH Classify the triangle by its artgles acute obtuse X Oright b Consider the following Find the value of x for the triangle X Classify the triangle by its angles O acute obtuse right c Consider the following 47 obtuse Find the value of x for the triangle x Oright Classify the triangle by its angles O acute d Consider the following right 55 to to 77 9 48 2 Find the value of x for the triangle Classify the triangle by its angles acute O obtuse 44 10 1 018 35 20

n s law models the relationship between GDP and O A employment OB the economy OC unemployment OD the stock market

Indicate which of the angles below are acute angles and which are obtuse angles Then give the complement and the supplement of each angle 1 10 2 50 3 45 5 120 6 160 7 x 4 90 8 y

Which of these is not affected by a person s credit score O A Apartment rentals OB Mortgage rates OC College admissions OD Car insurance prices

HW Homework Complete problems 1 8 below for independent practice DA B C When you are finished check the solutions in the back of the textbook 1 Which of the following properties is true about ALL rhombuses Choose two All sides are always equal Diagonals are bisected All angles are equal 9 ft B 3 The perimeter of a rhombus is 40 cm What is 4 The measure of one side of a rhombus is 12 the measure of one of the sides inches What is the perimeter of the rhombus ractice 5 Is the shape below a rhombus Explain why or 6 Find the measure of all missing angles in the why not D rhombuses below 3 XE 70 1 4 ft C 5 2 Which of the following properties is true about ALL rhombuses Choose two A OB C There is always a right angle Opposite angles are equal Same side angles are supplementary 4 7 Find the measure of all missing angles in the 8 The figure below is a rhombus Using that fact rhombus below find the value of x Then find the measure of CD 4x 15 27 A4 2 B D C When you are finished check the odd problems for solutions at the back of the textbook 7x 2 Optional Complete problems 5 7 9 11 18 from your textbook on separate lined paper for extra practice

What is the name of a savings account that offers higher interest rates but which a person s money must stay deposited for a specific amount of time OA Savings account OB Money market account C C CD

36 X y 20 21 22

6 36 X y 20 21 22

4 1 2 2 X

Setup a proportion then find the value of each variable 1 2 12 8 X 9 10 2 8 3 x 1

31 7 X load a onto a 49

63 40 zaight roge a top of a h 2300 feet lond in and

A2 set 6 Richard s ue east house Ho from Mich house to house 65

What is the name of the interest payments that a bondholder receives for purchasing a bond O A Annuity OB Tax deferral C Coupon

Monica has a 1000 bond with a 5 5 coupon Monica purchased this bond for 1025 What is the yield of this new bond OA 5 5 OB 5 4 O C 5 6 OD 5

Nolan has a bond with a 6 1 yield a bid price of 475 and a face value of 500 What is the original coupon rate of this bond OA 6 1 OB 6 C 5 5 D 5 8

10 3 11 4 X 12 12 X 5 10

olve for x Round to the nearest tenth if necessary X 64 70 H

6 cos x 3 0 x 2 Type an exact answer using as needed Use a comma to separate answers as needed Use integers or fractions for any numbers in the express

opposite sides are congruent opposite angles are congruent the diagonals of a parallelogram bisect each other Standard G CO 11 EXPLORE Read the section below and complete the following activity adapted from Lesson 9 1 A quadrilateral is a polygon with four sides A parallelogram is a quadrilateral that has two pairs of parallel sides L4L Math Resources http bit ly L4LMath Proving the Opposite Sides Criterion for a Parallelogram Draw and explain in your own words the following polygons Make sure to use tick marks to label congruent sides and arrows to label parallel sides Definition of a Quadrilateral Definition of a Parallelogram

Glenda lives in Ohio which has a sales tax of 5 5 She just bought a grill whose full price was 220 but she got 40 off because the store was having a sale What was the total amount that Glenda paid OA 139 26 OB 88 00 OC 92 84 OD 132 00

Your Turn 1 According to Theorem 1 label the parallelogram with the appropriate tick marks I If a quadrilateral is a I parallelogram then If a quadrilateral is a parallelogram then B 2 According to Theorem 2 label the parallelogram with the appropriate tick marks If a quadrilateral is a parallelogram then B Tick marks show congruency 3 According to Theorem 3 label the parallelogram with the appropriate tick marks B Tick marks show congruency Use the Glossary if you come across any unknown words

The minimum monthly payment for Fern s credit card is 2 5 of her balance or 40 whichever is higher If Fern s balance at the end of her last billing cycle was 1950 what is her minimum monthly payment OA 48 75 OB 40 00 C 88 75 OD 8 75

4 M 30 30 D 130 20 N Similarity Stmt Reason 5 R X Similarity Stmt Reason B 6 B X Vi C Z Similarity Stmt Reason

Jose s only debt obligations are a car loan payment of 436 and a credit card payment of 50 every month What is the minimum amount of money he must take home every month in order to avoid being in danger of credit overload OA 1944 OB 2180 O C 2430 D 486

6 61 A C 5

Find the exact value of cos A in simplest radical form B 7 85

Find the exact value of cos A in simplest radical form 7 B C 6 85 A

Solve for 2 Round to the nearest tenth if necessary X OB 6 7 P

In ADEF sin D D 39 15 E 39 O A 15 OB 15 O C 39 15 36 36 39 What is cos E

What is sin 28 28 17 15 62 90 00

Geneva worked for 10 hours and 15 minutes How should she write that on her time card OA 10 25 OB 10 15 O C 10 75 OD 10 5

Jerry has a credit card that uses the average daily balance method For the first 14 days of one of his billing cycles his balance was 1050 and for th last 16 days of the billing cycle his balance was 1280 If his credit card s APR is 19 which of these expressions could be used to calculate the amount Jerry was charged in interest for the billing cycle O A 31 1 4 OB 0 19 365 14 1050 16 1280 31 0 19 30 365 0 19 365 X 16 1050 14 1280 30 16 1050 14 1280 31 O C 2 31

3 E X G

2 Draw examples of inscribed angles that intercept the diameter of the circle What conjecture can you make about the measure of the inscribed angle

7 During a group hike a park ranger makes the following path How far west did they travel 2 miles 12 N S

5 Determine the unknown length Round to the nearest hundredth V1 1 yd 25

9 Determine the unknown length Round to the nearest hundredth X 5

6 Determine the unknown length Round to the nearest hundredth 63 3 2 yd

2 Determine the unknown length Round to the nearest hundredth 60 6 ft

Each pair of polygons is similar Find the value of x 3 12 B A 14 D 26 13 E 7 H F 13 X G 4 W 4 YAX 3 x 5 x 5 A 9 U

A In 9 14 the figures are similar setup a proportion then solve for the variable s 9 10 P C A A 5 ft 3 3 ft 6 ft B E X F X S 8 in 5 in R L X X M 3 in N

In 19 20 Use AWXZ ADFG above set up a proportion then solve for the indicated side 19 FG

COS Let cos x x Identify x Choose the correct graph below OA x y x cos x OA x y X OB O B Let cos x Identify B Choose the correct graph below x y x y Ay C X Ay O C B x y x y X OD x y O D Ay la AY Q x y X

Sketch a figure s for each description Then write and solve an equation to find the missing value s You must show all work to earn full credit 3 points each 1 ZABC and ZXYZ are complementary angles If mLABC x 13 and mZXYZ 3x 9 find mZXYZ A A 3x 9 2 OM and ON are opposite rays If m NOM 11x 70 find the value of x 3 LSBR and LNBS are adjacent angles If mzSBR 12x 1 mzNBS 42 and m2NBR 17x 8 find m2NBR

Example 2 Given triangle EGH with EF 4 Determine the length of EG and FG E 30 F 813 3 607 413 4 G