Two angles are complementary if their sum is 90°. A largerangle measures three degrees less than twice the measure ofa smaller angle. If x represents the measure of the smallerangle and these two angles are complementary, find the measure of each angle.

Q: In an isosceles triangle, the vertex angle is 3 times the measure of one of the base angles. Find…

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Q: The two equal sides of an isosceles triangle are each 43 centimeters. If the base measures 48…

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Q: In the baseball field below, the distance between home and 1st base is 90 ft; the distance from 1st…

A: In a right triangle, the hypotenuse is the side opposite the right angle in the triangle. It is also…

Q: A woodcutter determine the height of tall tree by measuring a smaller one 125 ft away,then moving so…

A: First draw a diagram that describe this scenario. Let FG be the length of the tall tree. Let DE be…

Q: Recall that two angles are complementary if the sum of their measures is 90. Find the measures of…

A: Recall that two angles are complementary if the sum of their measures is 90. To Find the measures of…

Q: If the two triangles are similar by hypotenuse-leg similarity, what is the value of X?

A: Given,

Q: The measures of two complementary angles are described by the expressions (13x+12)° and (19x+14)°.…

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Q: The second angle of a triangle is three times the first, and the third is 12degrees less than twice…

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Q: In a right triangle with a leg of 5 and a hypotenuse of 10, find the measures of all angles

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Q: The measure of one interior angle of a parallelogram is twice the measure of another angle. Find the…

A: Let ABCD be a parallelogram .  In parallelogram , opposite angles are equal Consecutive angles are…

Q: helicopter, hovering 1000m above the board, was observed by a truck driver at an angle of 20°. After…

A: Given:- A helicopter, hovering 1000m above the board, was observed by a truck driver at an angle of…

Q: A supplement of a given angle is four times as large as a complement ofthe angle. Find the measure…

A: Given:A supplement of a given angle is four times as large  as a complement of the angle.

Q: The vertex angle of an isosceles triangle is 10 less than three times the base angles. Find each…

A: Given In an isosceles triangle, The vertex angle is 10 less than 3 times its base angle We know that…

Q: if angle 1 and angle 2 form a linear pair and angle 1 is 18 degrees less than five times the measure…

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Q: One of the acute angles in a right triangle has a measure of 35°. What is the measure of the other…

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Q: ABCD is a quadrilateral inscribed in a circle, as shown below: What equation can be used to solve…

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Q: If qs represents an angle bisector, solve for x.

A: Given,          QS represents an angle bisector and the triangle is shown below :

Q: One side of a triangle is twice another. The third side is 6 more than the smallest side. The…

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Q: A right triangle has a hypotenuse of length 9 inches. If one angle is 35°, find the length of each…

A: Given :      A right triangle has a hypotenuse of length 9 inches. and one angle is 35 degree.

Q: use an algebraic approach to solve each problem. One of two supplementary angles is 4° more than…

A: Assume that one angle is 3x°.

Q: , and Harry are camping in their tents. If the distance between Shakkar and et, the distance between…

A: We wil solve.

Q: The hypotenuse of a right triangle is 12 feet. If one leg is 8 feet,find the degree measure of each…

A: Let ∆ABC be a right triangle. such that ∠B=90° To find: Measure of all angles.

Q: If angle ABD measures 100°, find the value of x in the following diagram: (4x+2) (3x-7)° 15 38 72…

A: Here given that angle ABD is 1000. as shown in figure.Angle ABC = (4x+2)0   Angle CBD = (3x-7)0

Q: The three angles of a triangle are consecutive even numbers. What is the measure of each angle?

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Q: The lengths of the sides of a triangle are 2x + 5, 3x + 10, and x + 12. Find all values of x that…

A: Given, the lengths of the sides of a triangle are 2x + 5, 3x + 10, and x + 12 For isosceles…

Q: An aircraft is spotted by two observers who are 1750ft apart. As the airplane passes over the line…

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Q: Point B is between A and C.AB=3x+2, while BC=4x+5, and AC =9x+1. What is the value of x? What is…

A: Topic- simplification

Q: APQR has side lengths of 8, 10, and 6. AABC is similar to APQR and AABC has a hypotenuse of length…

A: Given data is : ∆PQR has side lengths of 8, 10, and 6∆ABC~∆PQR∆ABC  has a hypotenuse of length 12To…

Q: The second angle of a triangle is four times the first and the third is 5 degrees more than twice…

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Q: In a 30-60-90 degree triangle, the side opposite the 30-degree angle is how long compared to…

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Q: Please show me the steps on how to solve this and the final answer

A: Aum of angles of a triangle is always 180°

Q: The measure of the angle 330° in standard position is given. Find two positive angles and two…

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Q: Bret rented a shop near SLC and wants to order a new signage for the 10 points roof of the building.…

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Q: An antenna has 4 guy-wires connected to the top of the antenna, and each guy-wire is anchored to the…

A: I am going to solve the given problem by using some simple trigonometry to get the required result…

Q: in a certain right triangle ABC, angle B is the right angle, AC can be expressed as (2x+y) while BC…

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Q: Two triangles are ___________ if corresponding angles are equal and the lengths of the corresponding…

A: Recall that for similar triangles the measure of corresponding angles in both the triangles be…

Q: a hypotenuse of 9 and a top angle of 41 degrees

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Q: An angle is fifteen more than twice its complement. how large is the angle?

A: We need to find the angle with the given information.

Q: In AEFG, the measure of ZG=90°, FG = 4.8 feet, and GE = 3.5 feet. Find the measure of ZF to the…

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Q: The Gateway Arch in St. Louis is 630 feet. If a person is walking away from the Arch until the angle…

A: All this system makes a right-angle triangle whose base is to be determined. Right-angle triangle…

Q: Two consecutive angles of a parallelogram always add up to how many degrees?

A: Given query is to find the sum of two consecutive angle of parallelogram.

Q: Find the value of x, y, and z to the nearest tenth, if necessa

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Q: solve for the remaining side(s) and angle(s) if possible. as in the text, (α,a), (ß,b) and (γ,c) are…

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Q: The measure of a major arc is 270 degrees. What is the measure of the corresponding minor arc?

A: Given,  The measure of a major arc is 270 degrees.   The corresponding minor arc = ?

Q: hypotenuse has a length of 65 in., and side A has a length of 31 in. What is angle X?

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Q: The two smaller angles of a right triangle have equal measures. Find the measure of the smaller two…

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Q: The length of the hypotenuse of a 30°-60°-90° triangle is 4. Find the length opposite to 60° angle

A: Given: The length of the hypotenuse of a 30°-60°-90° triangle is 4. Find the length opposite to 60°…

Q: A right triangle has a hypotenuse of length 8 inches. If one angle is 34°, find the length of each…

A: sin θ=oppositehypotenusecos θ=adjacenthypotenuse Here, θ=34°, hypotenuse=8 inches

Q: The measure of an angle in standard position is given. Find two positive angles and two negative…

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