Solution of triangles Questions and Answers

Two sides of a triangle have lengths10 and 15. What must be true about the length of the third side? O less than 10 O less than 5 O less than 15 O less than 25

Which overlapping triangles are congruent by ASA? ΔADC = ΔEDA ΔABE ΔDEA ΔADC = ΔEBC ΔABE = ΔCDA

Which three lengths could be the lengths of the sides of a triangle? 9 cm, 22 cm, 11 cm 10 cm, 15 cm, 24 cm 12 cm, 5 cm, 17 cm 21 cm, 7 cm, 6 cm

The sum of the measures of two exterior angles of a triangle is 264. What is the measure of the third exterior angle? 84 86 106 96

Each sheet of metal on a roof is perpendicular to the top line of the roof. What can you conclude about the relationship between the sheets of roofing? Justify your answer. The sheets of metal are all parallel to each other because in a plane, if a line is perpendicular to one of two parallel lines, then it is also perpendicular to the other. The sheets of metal are all parallel to each other because in a plane, if two lines are perpendicular to the same line, then they are parallel to each other. The sheets of metal are all parallel to each other by the Alternate Interior Angles Theorem. The sheets of metal are all parallel to each other by the Transitive Property of Parallel Lines.

A conditional can have a ___---or false. truth value counterexample hypothesis conclusion

Right Triangle Trigonometry:Question 2 A large totem pole is 100 feet tall. At a particular time of day, the totem pole casts a shadow that is 249 feet long. Use the diagram to determine the measure of angle A to the nearest degree. Select one: ¹) 68° 45° 22° 35° 249 ft 100 ft

Find the values of x, y, and z. The diagram is not to scale 58° 46 13 O x = 76, y = 104, z = 63 O x = 63, y = 76, z = 104 O x = 76, y = 63, z = 104 O x = 63, y = 104, z = 76

Name an angle supplementary to Z COD. OZCOB O ZBOD OZCOA O ZAOE

Conditional: If a triangle is scalene, then the triangle has no congruent sides. Which statement shows the conditional written as a true biconditional? If a triangle has some congruent sides, then the triangle is not scalene. If a triangle has no congruent sides,then the triangle is scalene. A triangle is scalene if and only if it has no congruent sides. A triangle is equilateral if and only if it is not scalene.

Write this statement as aconditional in if-then form: All triangles have three sides. If a figure has three sides, then it is not a triangle. If a figure is a triangle, then it has three sides. If a triangle has three sides, then all triangles have three sides. If a figure is a triangle, then all triangles have three sides.

Determine in which direction the parabola below opens. y=x²-7x+18 A. left B. right C. up D. down

In the two distinct acute triangles ABC and DEF, LB = LE. Triangles ABC and DEF are congruent when there is a sequence of rigid motions that maps (1) ∠A onto ∠D, and ∠C onto ∠F (2) AC onto DF, and BC onto EF (3) ∠C onto ∠F, and BC onto EF (4) point A onto point D, and AB onto DE

1. (8A) Two letters are chosen at random from the words JACKSON and MISSISSIPPI. What is the probability that at least ONE of the letters chosen at random is S?

Find the missing angle. Round to the nearest tenth. B = 50° b = 8 a = 10 A = [?]°

how do i find the height of a square with corners that are cut and the values of the cut corners are not listed?

When the positive integer k is divided by 9, the remainder is 4. Quantity A The remainder when 3k is divided by 9 Quantity B 4 Quantity A is greater. Quantity B is greater. The two quantities are equal. The relationship cannot be determined from the information given.

A triangle on the coordinate plane has points located at A(2,5), B (5,9), and C (8,5). What is the area of the triangle? Draw the figure and show your calculations in the space provided. What is the area of the composite figure below?

A 30-foot long support wire for a 16 foot-high streetlight runs form the top corner of a building to a point on the ground, forming a straight line. The length of the wire from the top of the building to the top of the street light is 6 feet How tall is the building? 16 feet 20 feet 32 feet 48 feet

Create your own example: Give the lengths of three segments that would make either an acute or obtuse triangle when joined end to end. - Explain why your segments first can make a triangle. - Identify if your lengths make an acute triangle or obtuse triangle. - Explain why your lengths make this type of triangle.

Given: c11 and a = 10 Then the ∠A =____?_ Round to the nearest degree. Enter number answer only.

From point A, an observer can see two points, a large rock and a tree, on opposite sides of a pond. The distance from A to the large rock is 97.6 m, and the distance from A to the tree is 14.8 m. The angle between the two lines of sight is 130°. How far is the large rock to the tree, rounded to the nearest meter?

Find the distance from the point A to the line through points B and C. Then show that the triangle whose vertices points A, B and C is right triangle and find its area. Where: A(3,3,-4), B(0,5,1) and C(2,1,-2).

Solve AABC subject to the given conditions. Round the lengths of sides and measures of the angles to 1 decimal place, if necessary. A = 10.1°, C = 97.8°, b = 59 A) B = 72.1°, a = 11.3, c = 60.4 B) B= 72.1°, a = 10.9, c = 60.4 C) B = 72.1°, a = 10.9, c = 61.4 D) B = 72.1°, a = 11.3, c = 61.4 Find the area of a triangle with the given measurements. Round to 1 decimal place. A = 105°, b = 17 ft, c = 2 ft A) 16.4 ft² B) 17 ft² C) 34 ft² D) 32.8 ft²

Solve the triangle. Round your answers to the nearest tenth. A. m∠A = 48, m∠B = 50, a = 26 B. m∠A = 43, m∠B = 55, a = 16 C. m∠A=43, m∠B = 55, a = 20 D. m∠A = 48, m∠B = 50, a = 23

The tee for the fifth hole on a golf course is 375 yards from the tee. On that hole, Marsha hooked her ball to the left, as sketched below. Find the distance between Marsha's ball and the hole to the nearest tenth of a yard. A. 139.5 yd B. 146.9 yd C. 195.4 yd D. 181.8 yd

Note: Triangle may not be drawn to scale. Suppose ∠B = 45° and a = 15. ∠A = Find an exact value (report answer as a fraction, use sqrt if necessary): b =

A ship at sea, the Gladstone, spots two other ships, the Norman and the Voyager, and measures the angle between them to be 38°. The distance between the Gladstone and the Norman is 2640 yards. The Norman measures an angle of 57° between the Gladstone and the Voyager. To the nearest yard, what is the distance between the Norman and the Voyager?

Given that the two triangles are similar, solve for x if AU = 20x + 108, UB= 273, BC = 703, UV = 444, AV = 372 and AC = 589. You must show all of your work to receive credit.

What type of triangle has side lengths 9, 10, and √130? A. obtuse B. right C. not a triangle D. acute

If the lengths of the legs of a right triangle are 4 and 8, what is the length of the hypotenuse? A. 4√5 B. 4√3 C. 32 D. 12

What type of triangle has side lengths 2, √12, and √19? A. right B. obtuse C. acute D. not a triangle

1) Find the measure of each interior angle of a regular polygon having: (a) 5 sides (b) 24 sides (c) 8 sides (d) 15 sides 2) Find the number of sides of a regular polygon if the measure of an interior angle is: (a) 162 (b) 144 (c) 140 (d) 168

A ceramic jar contains 32 quarters and 30 nickels. If two coins are randomly drawn in succession, without replacement, what is the probability that the total value of the coins is $0.50? a) 435/1891 b)16/61 c) 512/1891 d) 480/1891

2) If the sum of the measures of a polygon with n sides is 2,160, then n = (1) 11 (2) 12 (3) 13 (4) 14 3) Which of the following cannot represent the measure of an exterior angle of a regular polygon? (1) 72 (2) 15 (3) 27 (4) 45

A quadrilateral has vertices A(1,1) B(-1,4) C(2,6) and D(4,3). Use slope AND distance to classify this quadrilateral as precisely as possible. Justify your answer using the CER method as follows: Claim - Quadrilateral ABCD is a________ Evidence - Show SLOPE AND DISTANCE on all sides to use in your reasoning below. Reasoning - Use the slope and distance calculations you obtained in "Evidence" to justify your "Claim". Upload a pic or screenshot of your work.

Triangle MNP has side lengths 3.5 cm, 4.1 cm, and 4.3 cm. A triangle with what side lengths would be similar to triangle MNP? 1. 3 cm, 4 cm, 4 cm 2. 25 cm, 31 cm, 33 cm 3. 35 Cm, 41 cm, 43 cm 4. 4.5 cm, 5.1 cm, 5.3 cm

Construct a triangle with two sides and a median to the third side equal to three given segments a)_______side b)_______median c)_________side

Which rectangle is similar to a rectangle with length1/2 yards and 2/3 yards? Select one: 1. a rectangle with length 2 1/2 yards and 2 2/3 yards 2. a rectangle with length 1/4 yards and 2/5 yards 3. a rectangle with length 2 yards and 3 yards 4. a rectangle with length 1/4 yards and 1/3 yards

A park maintenance person stands 17 m from a circular monument. If you draw two tangents from the maintenance person to each side of the monument, they make an angle of 28°. What is the measure of the arc created where the lines intersect the monument? a 62° b 124° c 118° d 152°

A license plate is made up of four letters followed by three digits. Determine the number of different possible license plates if none of the letters or digits can be repeated. The number of different possible license plates is ____________.

Compare and contrast AAA, AA, SAS, SSS, CSSTP and CASTC method of proving similar triangles by using a table

In right traingle LMN, L and M are complementary angles and sin(L) is 19/20. What is cos(M)? A.) 1/20 B )√39/20 C.) 19/20 D.)√39/19

In the diagram. AB is parallel to DE Also. DE is drawn such that the length of DE is half the length of AB. If sin A=0.5, then what is sin E? A. 2 B. 1 C. 0.5 D. 0.25 E. 0.1

If cos x = sin(20 + x)° and 0°<x< 90°, the value of x is____

Given the general identity X=tanx/cosx which equation relating the acute angles, A and C. of a right ∆ABC is true? A).tan a=sin A/sin C B)cos A = tan (90°- A)/sin (90°- C) C)sin C = Cos A/tan C D)cos A = tan C E)sin C= cos (90°-C)/tan A

What are the lengths of the legs of a right triangle in which one acute angle measures 19° and the hypotenuse is 15 units long? A) 9 units, 12 units B). 11 units, 10.2 units C). 4.9 units, 15.8 units D). 4.9 units, 14.2 units E). 5.2 units, 14.1 units

Austin keeps a right conical basin for the birds in his garden as represented in the diagram. The basin is 40 centimeters deep, and the angle between the sloping sides is 77°. What is the shortest distance between the tip of the cone and its rim? A. 177.8 centimeters B. 64.3 centimeters C. 50.3 centimeters D. 51.1 centimeters E. 41.1 cm

Which of the following is the length of the unknown leg of a right triangle that has one leg length of 8 feet and a hypotenuse of 12 4 feet 14.4 feet 8.9 feet 40 feet

In the diagram below of parallelogram ROCK, m/C is 70° and m/ROS is 65°. What is m/KSO? 1) 45º 2) 110º 3) 115º 4) 135º