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:
The height of the cone is 
Step-by-step explanation:
we know that
The volume of a cone is equal to

In this problem we have
----> the radius is half the diameter

assume 
substitute the values and solve for h


(x,y) so you start at the orgin and go down two because it's negative. then you go right six and plot your point.
negative number - down or left
positive number - up or right
Answer:
500
Step-by-step explanation:
Let the unknown number be n. Then 1.5n = 750, and n = 500.
750 is 150 percent of 500.