Answer:
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- <u>The correct answer is the first choice: Hinge Theorem.</u>
Explanation:
The <em>Hinge Theorem</em> compares the lengths of two sides of two triangles, given that the other two pairs of sides are congruent and the included angles are different.
The theorem states that if two sides of a triangle are congruent to two sides of another triangle and the included angle of one triangle is greater than the included angle of the other triangle, then length of the third side of the first triangle is greater than the length of the third side of the second triangle.
The figures shows triangles UVT and STV
The angle UVT is greater than the angle STV.
The sides ST and VU are congruent, as the small vertical marks indicate.
The side TV is a common side of both triangles.
Then, you already have that two sides of the triangle STV are congruent to two sides of triangle UVT and the angle UVT is greater than the angle STV.
Hence, by the HInge Theorem the side TU is greater than side SV.
Answer:
42
Step-by-step explanation:
It changes 42 cents each year
Answer: A.
The inverse sine function is written as sin−1(x) or arcsin(x). Inverse functions swap x- and y-values, so the range of inverse sine is − π/2 to π/2 and the domain is −1 to 1. When evaluating problems, use identities or start from the inside function.
(REFER TO CHART BELOW)
Answer: The answer is 12.5 ft.
Step-by-step explanation: Given that there is a rectangle with ratio of its length to breadth 8 : 5. Also, the longer side of the rectangle is 20 feet. We are to find the length of the shorter side.
Let, '8x' and '5x' be the length and breadth of the rectangle respectively. Since length is the longer side, so we have

Therefore, width, length of the shorter side will be

Thus, the length of the shorter side is 12.5 ft.
Answer:
Center: (-2, 4)
Radius: 4
Step-by-step explanation:
To find the centre and radius, we require to identify g , f and c
By comparing the coefficients of 'like terms' in the given equation with the general form.
2g = 4 → g = 2 , 2f = -8 → f = -4 and c = 4 → center=(−g,−f)=(−2,4)
radius = √22+(−4)2−4= √4+16−4=4
Center: (-2, 4)
Radius: 4
Hope This Helps! :)