Answer:
<u></u>
- <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.
Excuse me but his answer is incorrect. To find the proper rate of change you might have to solve it like you would for slope.
First you would find the points for x = 3 and x = 15 would be (3, 0.08) and (15, 327.68). Then using the slope formula you can find 327.60/ 12. That gives 27.3. So in that case the correct answer is C.
To do this question you need to multiply base times height. So it would be 24*17. After that, you should get 408 square feet.
Answer: In order to save money for a 1 day rental with plan B, the number of miles must be greater than 153.84 miles
Step-by-step explanation:
Let x represent the number of miles driven with either plan A or B.
Plan A: 30 dollars per day and 13 cents per mile. It means that the cost of renting the car or one day and driving x miles is
30 + 0.13x
Plan B: 50 dollars per day with free unlimited mileage. It means that the cost of renting the car or one day and driving x miles is 50
In order to save money for a 1 day rental with plan B, the number of miles would be
50 < 30 + 0.13x
50 - 30 < 0.13x
20 < 0.13x
0.13x > 20
x > 20/0.13
x > 153.84 miles
Just add all of them up the sides
