By making a sketch of a right triangle and labeling the sides appropriately, find the exact value of each of the followings.

Q: Determine the relationship between the two triangles and whether or not they can be proven to be…

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Q: Find a positive angle less than 360° or 2π that is coterminal with the given angle 400°.

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Q: Find a positive angle less than 360° or 2π that is coterminal with the given angle.

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Q: Suppose the largest angle of a triange is the sum of the other two angles. Find the smallest angle…

A: We know that sum of angles of triangle is 180 Then we will form another two equation by given…

Q: Suppose you are given the three lengths shown and are asked to construct a triangle whose sides have…

A: It is given that there are 3 line segments of lengths are, r, s and t.   Lengths can be assumed from…

Q: The hypotenuse of triangle ABC has a length of 5. For angle A, the opposite side BC has a length of…

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Q: What is the length of AB? AB and BC are tangents to the circle. 7x+5 x+23

A: Circle question

Q: A PQR is circumscribed about Circle C. A triangle is a circumscribed triangle if each of its sides…

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Q: One way to show that two triangles are similar is to show that

A: One way to show that two triangles are similar is to show that corresponding angles in triangles are…

Q: Consider a right triangle with a side of length z opposite angle A, a side of length y opposite…

A: According to the given data, the rough sketch of the right-angled triangle is: And, given that,

Q: . For a triangle with base b and altitude h, a formula for thearea A is________

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Q: Consider a right angle triangle with side lengths a and a2, where the hypotenuse can be calculated…

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Q: Consider a right triangle with a side of length æ opposite angle A, a side of length y opposite…

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Q: These two triangles are not similar

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Q: A boat sailing due west toward a point y = 160 feet directly north of you makes an angle of 48°, as…

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: Each of the legs of an isosceles triangle is 40 cm in length. The base is 30 cm in length. Find the…

A: The question described above is drawn below. Since the perpendicular bisector in isosceloes…

Q: Find the exact values of x and y. Right triangle with 10 hypotenuse, y adjacent to 30◦ angle, and x…

A: ∆ABC is a right triangle,Sin30°=PerpendicularHypotenuseSin 30°=x1012=x102x=10x=5 units

Q: Determine the relationship between the two triangles and whether or not they can be proven to be…

A: Given data: The given triangles. The given triangles are shown in the below figure. In triangle ABC…

Q: Consider a right triangle with a side of length x opposite angle A, a side of length y opposite…

A: Given that:    sinB=13x=6

Q: The dorsal fin of a shark forms an obtuse triangle with the measurements shown in the diagram. Round…

A: We know that the sum of angles in a triangle is 180 degree…

Q: Use the Pythagorean Theorem to find the exact length of the unlabeled side in the given right…

A: Given : A right triangle.

Q: In ARST, s = 58 inches, ZR=115° and ZS=19°. Find the length of r, to the nearest 10th of an inch.…

A: given,

Q: Find a positive angle less than 360° or 2π that is coterminal with the given angle 415°

A: To find the  positive angle less than 360° or 2π that is co terminal with the given angle 415°

Q: Find a + ib for the numbers at angles 30°, 60°, 90°, 120° on the unit circle. If w is the number at…

A: We have for any number a + ib: Now we look for a and b for different angles

Q: In which quadrant are both conditions met?

A: cosθ<0 tanθ = − 0.2126

Q: Determine the relationship between the two triangles and whether or not they proven to be congruent.…

A: Two triangles given have the same length of their sides that means all the sides of first triangle…

Q: Use the Pythagorean Theorem to find the missing side of the night triangle below.

A: Let the length of missing side = x apply Pythagoras theorem

Q: 7. FOR THE GIVEN TRIANGLE, SOLVE FOR MEDIAN TO SIDE C, ALTITUDE TO SIDE B, AND ANGLE BISECTOR TO…

A: In the above figure, the angle has been calculated using the cosine formula. ∠A = cos-1b2+c2-a22bc∠A…

Q: Show that the two triangles are similar. AWXZ and AZXY 24

A: Use angle angle angle(AAA) to prove similar

Q: Do the following lengths form a right triangle?

A: A right-angled triangle follows the Pythagorean theorem c2=a2+b2. we will check the same for all the…

Q: To find the area of a triangle given all three sides, we can use ________ formula. Thefirst step is…

A: Given: To find the area of a triangle given all three sides, we can use ________ formula. Thefirst…

Q: A right triangle has a base of x, height of 5 and a top angle of 39 degrees. The hypotenuse is not…

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Q: Consider a right triangle with a side of length x opposite angle A, a side of length y opposite…

A: Given: Consider a right triangle with a side of length x opposite angle A, a side of length y…

Q: Consider a right triangle with side a opposite angle A, side b opposite angle B, and side c, the…

A: The right triangle with tanA = 150 and b = 60 is given by To evaluate : the value of the missing…

Q: Find the point on the Unit Circle associated with the angle  5pi/3

A: Given angle is  To determine the point on the Unit Circle associated with the angle  5pi/3

Q: Solve for the missing information, given that the two 10 cm triangles are SIMILAR. 6 cm (If a…

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Q: In the diagram to the left, LABC and ZDCB are right angles. Which of the following is closest to the…

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Q: Consider the three right triangles shown at right. a. What is the length of the hypotenuse marked…

A: Given, Right angles with base 1  Hypotenuse of first right angle become the perpendicular of second…

Q: Consider a right triangle with a side of length x opposite angle A, a side of length y opposite…

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Q: State if the two triangles to the right are congruent. If they are, state how you know.

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Q: Select the figure with an angle of on a circle in standard position. 4

A: Definition used -                              Angle measured -  We measure the…

Q: The picture shows a right triangle, with the altitude drawn to the hypotenuse. Given that it splits…

A: There are three right triangles. △ADB,△CDA and △CAB Both of the two smaller triangles are similar…

Q: What similarity property, if any, can be used to show that the following two triangles are similar.

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Q: Find a positive angle less than 360° or 2π that is coterminal with the given angle 395°.

A: We have to find positive angle less than 360° or 2π that is co terminal with the given angle: 395°…

Q: The formula for the circumference C of a circle of radius r is _________ .

A: The formula for the circumference C of a circle of radius r is given by: C=2πr units

Q: Consider a right triangle with a side of length a opposite angle A, a side of length y opposite…

A: given: A right triangle with a side of length x opposite angle A, a side of length y opposite angle…

Q: The sides of a triangle are 7 m, 9 m, and 11 m, respectively. Find the radius, in m, of the circle…

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Q: in a right triangle angle theta has a cosine value of 0.755. The sidebadjacent to angle theta has a…

A: given,       and cosθ=0.755

Q: A right triangle has a base of x, a hypotenuse of 6, the height is not given and a top angle of 39…

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