Let r = rental, g = gas, m = miles
r1 + g1 + 0.25m = r2 + g2 + 0.35m now plug in and solve for m
40 + 15 + 0.25m = 45 + 0.35m
55 - 45 = 0.35m - 0.25m
10 = 0.1m
100 = m
for 100 miles the cost will be the same
now to find the cost
0.25m plug in 100 for m
0.25(100) = 80
for the course of 100 miles the cost will be $80
Split this figure into 3 shapes: 2 triangles and 1 trapezoid
Area of top triangle = 1/2(7)(2) = 7 square units
Area of bottom triangle = 1/2(3)(7) = 10.5 square units
Area of trapezoid = 1/2(3 + 6)(4) = 18 square units
Area of the polygon = 7 + 10.5 + 18 = 35.5 square units
Answer:
No, it does satisfy the Pythagorean Theorem
Step-by-step explanation:
In right triangle a² + b² = c²
Where a and b = legs and c = hypotenuse
The given measures of the legs are 3 and 7 and the given measure of the hypotenuse is √57
Which means that if this is a right triangle then 3² + 7² = √57²
3² = 9
7² = 49
√57² = 57
9 + 49 = 58
we're left with 57 ≠ 58 which is not true, meaning that , that is not a right triangle
