Solution of triangles Questions and Answers

Solve for x Leave your answer in simplest radical form 2

Description Common Shares Contibuted Surplus Recained Eamnings Cash Debit Earnings Per Share Revenue Debt to Equity Ratio 5 040 000 545 000 7 015 000 Credit 12 600 000 Place only one T in each row below indicating the impact of the share reacquisition journal entry on the following financial statement metrics Positive Negative Not No Impact Determinable

Company A is a global company based in the United States that operates in the financial industry Company A serves its customers with financial products such as checking accounts bank cards and investment products Company A has recently acquired Company B and needs to integrate with or remove similar capabilities and tools from Company B Company B is smaller in size has no dedicated cybersecurity professional role and utilizes third party support for infrastructure needs Company B offers specialized software to medical providers and accepts credit cards as a payment option The executives of the r company have expressed interest in

Oright SAS OSSA Question 24 How many triangles are possible with the configuration A 60 5 a 34 2 b 38 7

A piece of charcoal is found to contain 39 of the element B that it originally had a When did the tree from which the charcoal came die Use 5500 years as the half life of the element B b Using a graphing utility graph the relation between the percentage of the element B remaining and time c Using INTERSECT determine the time that elapses until half of the the element B remains d Verify the answer found in part a a The tree died 7471 years ago Round to the nearest whole number as needed b Choose the correct graph below The graphing window is 0 40000 5000 by 0 1 0 2 A B c The time that elapses until half of the element B remains is 7471 years Round to the nearest whole number as needed Q

etermine whether A MNPA QRS Justify your reasoning R 38 in 54 in 47 38 in N S M 32 in 28 in 54 in Q

EVALUATE Lesson 5 2 Homework HW Complete problems 1 6 for independent practice 1 What additional information would be enough to prove the triangles are congruent by ASA T D A VT UY OBVY TU When you are finished check the solutions with your teacher C ZTVU ZYUV OD 2T LY 3 Determine if the triangles below are congruent If so what properties are used in your logic 5 State what additional information is required to prove AZXY APRY by ASA R 2 What is the value of b in the following diagram What property did you use to find it 74 4 State what additional information is required to prove AXYZ AJKL K Z L 6 State what additional information is required to prove ASRQ ACQR by ASA R Q Optional Complete problems 3 8 15 16 20 from your textbook on separate lined paper When you are finished check the odd problems for solutions at the back of the textbook

2 1 7 9 cm 1m M 60 30 A V 2m 1 7 m 1 7 m 2m 30 60 1 m 12 1 cm 8 5 cm B E 8 4 cm 12 1 cm 7 9 cm 2H2L 2 2M GH KL HJ LM GJ KM Because all of the corresponding parts of the triangles are congruent A GHJA KLM LG 4K Here we are only given the sides of the triangles AB DE AC DF But BC is not congruent to EF Therefore the triangles are not congruent

HW e 1 Which side of VXS side matches SQ AQRS AVXS SQ 65 R 7x 12 Homework Complete problems 1 4 below for independent practice S 3 Based on the triangle sum theorem solve for x When you are finished check the solutions with your teacher 40 ce When you are finished check the odd pro 2 Which angle on UHI matches W AVWU AUHI AA U ZW W 4 Based on the triangle sum theorem solve for x A 4x 10 Optional Complete problems 3 5 7 9 15 18 from your textbook on separate lined paper 40 Juni

A 30 60 90 triangle has a hypotenuse of 7 2 Find the other sides Be careful

2 Without using a calculator find the exact value of the expression tan 3 8

13 G H Reason E Congruence Stmt 14 Z Congruence Stmt Reason B 15 N Congruence Stmt Reason R

4 Write a congruence statement remember order is important and state the appropriate postulate SSS SAS ASA SAA for you reason If the triangles cannot be proved congruent write not possible 3 W B 1 2 A J Congruence Stmt Reason S 0 T Congruence Stmt Reason U M N Congruence Stmt Reason 5 W AV X Congruence Stmt Reason X Congruence Stmt Reason 6 M Congruence Stmt Reason R N 55 4 C IC n M 120

Expand the binomial by using Pascal s Triangle to determine the coefficients 6v 3z 4

Given the BJT data and circuit diagram shown in Figure 1 calculate the total power losses in the BJT when used to switch an inductive load across a 400 V dc supply at I 0 kHz Assume that the inductance of the load is large so that the load current is constant with a value of 10 A and the transistor is in the on state and off state for the same length of duration Neglect the on state voltage drop of the diode and the effects of trn and Toff on the static losses 8 YCC SURNAME FIRST NAME MI STUDENT NUMBER 20XX XXXXX XX X BJT DC ANALYSIS Input Input 9 11k RC 4 7k 2 01 MAT 02 RE Output

modelling is the Integrate and Fire model Here a neuron is reduced to its most basic function fire action potentials or not Most of the physiological and mathematical richness of the Hodgkin Huxley model and the FHN model as per Question 1 to some extent is removed for the benefit of computational efficiency This becomes important as the number of neurons in a simulation increases to match what is seen in neural tissue about 105 per mm3 In its most basic form the Integrate and Fire nouron above the following DE

4 List all possible samples of size three without replacement from the small population 2 4 6 8 10 Q 4 6 8 4 6 10 4 8 10 6 8 10 O 2 4 6 2 4 8 2 4 10 2 6 8 2 6 10 2 8 10 O 2 4 6 2 4 8 2 4 10 4 6 8 4 6 10 6 8 10 O 2 4 6 2 4 8 2 4 10 2 6 8 2 6 10 2 8 10 4 6 8 4 6 10 4 8 10 6 8 10 Continue Reset answer

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11 Using coordinate geometry and algebra find the coordinates of the vertices of AABC a A 5 3 H 1 4 H 3 1 b A 4 5 H 2 3 H 1 2

Right triangle ABC is shown What is the value of 2

X y Determine the values of x and y A 52 B 14x 6 y C

25 x buca n tap n B A 60 B 70 C 80 60 D 75 30 50 E 65

4 Find KJ A K B 18 C Cross off the value of the first digit of your answer

In 12 Find the value of the variable then find the measure of all angles Drawing is not to scale 12 13x 3 42 2x lumn proof to find the value of the

6 m TUV U T 108

uppose an 82 kg person in a wheelchair is moving over rough ground At the speed they are traveling he frequency of vibration is 60 rad s and the person s displacement is 2 3 times as large as the ground s isplacement If the person moves a little faster their displacement decreases Assume the wheelchair s uspension system has negligible but non zero damping a What is the wheelchair s equivalent stiffness b Suggest a change to the wheelchair s suspension system to reduce the user s displacement Justify your answer

12 find the missing angle measurements using the inverse of sine cosine or tangent ratios round to the nearest tenth SHOW WORK Meaning show the proportion used to solve 4 7 m L 22 7 m C 27 13 h 5 8 9 ft m U 45 m I 8 ft 6 in 6 6 cm 11 cm m 20 yd 17 yd m R

k Use a graphing calculator to find all solutions in 0 2 x sinx x cos x 0 The solution set is Round to four decimal places as needed Use a comma to separate answers as needed

Solve the equation on the interval 0 2 sin 2x 2 sin x CITE Select the correct choice below and if necessary fill in the answer box to complete your choice O A The solution set is Type your answer in radians Use integers or fractions for any numbers in the expression Use a comma to separate answers as ne OB The solution is the empty set

K Use the unit circle shown here to solve the trigonometric equation Solve over 0 2x COS X Question 1 6 2 1 1 HW Score 0 0 of 15 points O Points 0 of 1 The solution set is Type an exact answer using as needed Use integers or fractions for any numbers in the expression Use a comma to separate answers as needed 1 0 1 2 135 150 7210 225 241 0 1

Question 6 What is the midpoint for a segment with endpoints 3 5 and 7 1 A 10 4 B 4 4

K Use a calculator to find the value in decimal degrees arcsin 0 5207 arcsin 0 5207 Type your answer in degrees Round to four decimal places as needed

Find the exact value of the trigonometric expression when sin u cos u v and cos v 15 Both u and v are in Quadrant III 13 17

Determine whether the Law of Sines or the Law of Cosines can be used to find another measure of the triangle a 13 b 15 C 68 O Law of Sines Law of Cosines Then solve the triangle Round your answers to four decimal places CH A 8 X xxx

the acute angle that satisfies the given equation Express the answer as an inverse trigonometric function as the measure of 0 in degrees tan 0 3 Express 0 as an inverse trigonometric function 0 Type an exact answer using radicals as needed Use integers or fractions for any numbers in the expression

Select the correct answer from each drop down menu 8 8 6 2 4 2 O 6 2 4 6 8 2 4 2 60 Quadrilateral 1 and quadrilateral 2 are polygons that can be mapped onto each other using similarity transformations The transfe followed by a dilation with a scale factor of maps quadrilateral 1 onto quadrilateral 2 is a translation

Find all solutions of the equation in the interval 0 27 Use a graphing utility to graph the equation and verify the solutions cos x 1 0 X X X sin smallest value largest value

Use the half angle formulas to determine the exact values of the sine cosine and tangent expressions of the following angle 165 5 sin 165 7 cos 165 5 tan 165

66 Given Segment TX is an angle bisector of Triangle NT Segment TX is the altitude of Triangle NTL Prove Angle NTX is congruent to Angle LTX

Find the perimeter of the following figure with the indicated dimensions Use 3 14 Round your answer to the nearest hundredth if necessary 3 67 ft 1 62 ft 7

Question A boat is heading towards a lighthouse whose beacon light is 113 feet above the water The boat s crew measures the angle of elevation to the beacon 11 What is the ship s horizontal distance from the lighthouse and the shore Round your answer to the nearest tenth of a foot if necessary Answer Attempt 1 out of 2 Watch Video Show Examples

3 1 LA20 Er 1 TRIGONOMETRIC RATIOS USING SIN COS AND TAN In 4 6 find sin R cos R tanR Write each answer as a fraction and as a decimal rounded to three decimal places 4 R 6 T 30 T 15 sin R cos R n R 25 2 S 5 S sin R cos R opposite A for adjacent or H for hypotenuse from the indicated angle 3 tan R 24 26 10 R 16 S sin R cos R 34 A

complementary angles with measures 3x 5 and 4x 31 The angles are Simplify your answer Type an integer or a fraction Type your answer in degrees Do not include the degree symbol in your answer Use a comma to separate answers as now

radians Simplify your answer Typ

Find each measurement indicated 10 Find AB 27 m 16 C 13 Find Z C 80 A 17 7 mi 4 14 5 17 9 19 m Solve each triangle 14 5 in B 97 5 B B 28 7 mi 13 7 in A 25 6 mi C 11 Find AB 6 35 7 7 ZC 37 b 13 cm c 14 cm ZB 39 c 37 km a 23 km 8 A 17 13 in 14 Find 2 C B C 21 yd 93 14 in 9 in B 20 in C 33 27 yd 6 in A B 12 Find AC Answers Note answers may not be to the correct number of significant digits 1 7 yd 12 19 in 2 33 1 yd 13 39 8 3 28 9 m 14 137 15 22 16 LA 18 15 Find ZA 14 in B 16 mi 117 B 8 in C 117 27 in 28 mi 106 61 7 ZB 80 8 ZC 37 5 17 ZA 50 5 ZB 96 5 c 14 8 yd 18 ZA 22 1 ZB 51 9 c 33 in C C B 13 in

22 Given AB DF BC DE and AC EF B A Prove AABD D C AFDE F E

34 Given BA CD ZADB LCBD Br N A Prove AABD ACDB 79 MX

20 Given PQ TU P T and Q U MER T P R S Prove APQREATUS U ZOMIA

niyal guibaoqeane 21 Given JK MN KL NO MICT K J Prove LO AJKLAMNO N M

26 Given PR TR P T P R Prove AABC ADBC S ORADE