7) In AABC , find the missing angles: a= 42 ft , b=51ft , c = 59 ft Round to the nearest tenth of a foot and nearest degree. Draw a picture.

Q: Assume that the figures shown to the right are similar. Given the lengths of sides and measures of…

A: Similar Triangles: The three-sided polygon is known as a triangle. The following conditions apply to…

Q: Nhat is the measurement of EACH interior angle of a Regular 24-gon?

A:

Q: What is the approximate degree measure of an angle of 2.95 rad?

A:

Q: An angle inscribed in a semicircle is an obtuse angle. true or false?

A: The given statement is "An angle inscribed in a semicircle is an obtuse angle"   To determine: The…

Q: The exact height of a right triangle with base angle 60 and base 12 is

A: Use trigonometry relations.

Q: 3. In AABC, AB = 5, BC = 12, and AC = 13, what is the smallest angle of triangle ABC?

A: We know that a triangle ABC is a right angle triangle if it satisfy the Pythagoras theorem, that is…

Q: 23. A 600-ft guy wire is attached to the top of a communications tower. If the wire makes an angle…

A:

Q: Given the angle 8pi/5 in standard position, what is its reference angle?

A:

Q: What is the measure of each interior angle of a regular hexadecagon(16 sided polygon)?

A: We know that the interior angle of a regular n-sided polygon is n-2×180°n. Using this formula we can…

Q: Can the sides of a triangle have lengths of 9, 12, and 33? If so, what kind of triangle is it?

A: We know that ,  In triangle ,  The sum of the length of any two sides of a triangle must be greater…

Q: Can the sides of a triangle have lengths of 7.8, 0.2, and 7.3? If so, what kind of triangle is it?…

A:

Q: Is a triangle with sides of lengths 12, 35, and 37 acute,right, or obtuse?

A: Given: A triangle with the sides of the lengths 12, 35, and 37

Q: If mzB = 30°, what is the ratio of angle B to its own supplement?

A:

Q: the angle between  0 and 360 and is coterminal with a standard position angle measuring 1970 degrees…

A: To find: The angle between 0° and 360° that is Coterminal with 1970°. Concept used: If α is the…

Q: Given a triangle NMQ (not shown), <M is a right angle , then ;

A:

Q: A farmer has a triangular field with sides that measure 40 metres (side AB), 35 metres (side BC),…

A: Given: A farmer has triangular field. Side AB=40 meters. Side BC=35 meters. Side CA=38 meters.…

Q: Let AABC be an equilateral triangle with defect . What is the measure of each angle?

A:

Q: 1 Find angle B (To nearestdaqree), a-17 ft, b= 23 St., &C = 30 ft. b=23 St, :

A:

Q: The angle between 0° and 360 and is coterminal with a standard position angle measuring 986° angle…

A: To find:- The angle between 0 and 360° and is coterminal with a standard position angle measuring…

Q: If arc PC equals 78 degrees, how many degrees are there in angle BPC?

A: Given arc PC equals to 78 degrees:So,

Q: Use the law of cosines to find a triangle with an angle of 120° and adjacent sides of length 10 and…

A: In this question we have to find the remaining side of the triangle and Area of triangle.

Q: Can the sides of a triangle have lengths of 6.5, 1.3, and 5.4? If so, what kind of triangle is it?…

A:

Q: Find the sum of the measures of the interior angles in the fi gure.

A: The sum of the measures of interior angles is = 180(n-2) From the picture n=5

Q: Consider the triangle with side lengths 24, 32, and 36. Blank 1: Find the measurement of the angle,…

A:

Q: Find all angles in size of the triangles. Round to tenths

A:

Q: Determine the measure of the two other missing angles to the nearest degree in AABC where a = 4.2 m,…

A:

Q: Is it possible for a triangle to have sides with the given lengths? Explain. 8 ст, 4 ст, 10 сm cm,

A: A triangle is valid if sum of it's two sides is greater than the third side .

Q: Match the inscribed angles and their intercepted arcs

A: The circumscribed angle is half of the central angle.  And the arc is the same as the central angle.…

Q: Calculate the sum of the measures of the interior angles of an 11-gon.

A:

Q: What is the sum of the measures of the interior angles of a 25-gon?

A: Given : 25-gon

Q: Liana said that she made a triangle with angle measurements of 40, 80, and 40°. Is this a possible…

A: as we know, for the triangle, the sum of all 3 angles is 180

Q: 1. Use a protractor to measure the angle to the nearest 5 degrees. measure of angle A =

A: Given  Consider the figure

Q: Contruct a triangle with a side length 10.5 cm , an angle 49 degrees and an angle of 86 degrees

A: First draw a line segment of length  10.5 cm.

Q: 1. Tina is constructing an angle congruent to ZABC. What is her next step?

A: For constructing an angle congruent to ∠ABC we need to follow the below steps: 1. Draw a line and…

Q: Are the angles 292 in degrees and 652 in degrees coterminal?

A: We can answer the question in the following steps.

Q: In OP, if the measure of inscribed angle RST is 73, then the measure of arc RT is ?.

A: Given: m∠RST= 73 To find: m(arc RT)

Q: A triangle has side lengths 7 in, 11in, and 9in. Will it form a right triangle? If not, what type of…

A: In the question it is asked to check whether the given sides (7 in, 11 in, 9 in) form right angle or…

Q: In triangle ABC, let M be the midpoint of AB and N be the midpoint of AC. Suppose that you measure…

A: Concept: Midpoint theorem of the triangle: According to the midpoint theorem, "the line segment in a…

Q: Can the sides of a triangle have lengths 5, 11, and 14?

A: Given,           The side lengths of the triangle are 5,11 and 14.

Q: What is the angle measure of each interior angle of a regular polygon with 42 sides?

A: Given, Total number of sides of regular polygon = 42

Q: ) Is it possible to draw a triangle with base angles that are obtuse? If it is, draw a picture of…

A:

Q: Each angle of an equiangular triangle has measure ____?

A: To write: The measure of each angle in a equiangular triangle.

Q: A unit circle is divided into six congruent arcs. (a) What is the measure of each central angle (in…

A: Given:  A unit circle is divided into six congruent arcs. To Find:  a To find the measure of each…

Q: Can the sides of a triangle have lengths of 7.4, 6.5, and 9? If so, what kind of triangle is it?…

A:

Q: a right triangle has leg opposike to angle & of length 9 and its leg adiacent to angle o is length…

A:

Q: What is the equivalent degree measure for an angle that measures 29pi/18?

A:

Q: Two sides of a triangle have lengths 3 and 3 and the angle between them is 1pi/6. What is the length…

A: Given, Two sides of the triangle = 3 and 3 The angle between them = π/6

Q: Given that AABC = ADFE, use the figure below to determine all possible missing side measures and all…

A:

Q: What is an angle that is supplementary to <AGF?

A:

Q: show that the base angles of an isosceles triangle are equal

A: Consider an isosceles triangle ABC with AB=AC. Then prove

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.