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.
9514 1404 393
Answer:
(c) 11
Step-by-step explanation:
As x goes up by 1, f(x) goes up by 2. The next line of the chart would be ...
x = 4+1 = 5; f(x) = 9+2 = 11
The appropriate choice is f(5) = 11.
So since x coordinates are same, we just have a horizontal distance to find (no fancy slanted lines)
so what you do is
|y1-y2|=distance
Answer:
-7/2y
Step-by-step explanation:
cancel out the Z's than youre left with -7/2y :}
Answer:
51m
Step-by-step explanation:
-Paul is 6ft, and has a 10ft shadow. The pole has a 85ft shadow:
-Using ratios:

Let h be the height of the flagpole:

Hence, the height of the pole is 51m