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.
No. If line WX would have been a tangent, the angle VWX should have been 90 degrees. If it would have been 90 degrees, using the pythagoras theorem, side VX should have been 5. But it's not 5, neither angle VWX is 90 degrees nor is the line WX a tangent to the circle
We are given " The country recreation department cleared a 3/4 mile long walking trail in Washington Park."
Therefore total distance = 3/4 miles.
"There will be a small sign every 1/12 mile along the trail, including at the beginning and end of the trail. "
Distance of small sign = 1/12 mile.
We need to find the number of signs in 3/4 miles each of 1/12 miles.
<em>In order to find the number of signs, we need to divide total distance by distance of a small sign.</em>
3/4 ÷ 1/12
= 3/4 × 12/1 = 3 × 3
= 9 signs.
<h3>Therefore, 9 signs are needed.</h3>
Answer:
Multiply by 1.16
Step-by-step explanation:
