Answer:
James is incorrect as Alisha runs further than James each week.
1,076 (the original thickness) - 22.7 meters (loss per year) * 7 (lost 22.7 meters per year for seven years, so multiply the loss per year by the amount of years) = 917.1 (the size after 7 years)
A.K.A 1,076 - 22.7 * 7 = 917.1
Answer:
a) corresponding angles of similar polygons are congruent
b) corresponding sides of similar polygons are proportional
c) a triangle is a polygon
Step-by-step explanation:
By <em>definition</em>, similar polygons have congruent corresponding angles and proportional corresponding sides.
A triangle is a polygon, so two triangles will be similar if they have congruent corresponding angles and proportional corresponding sides.
___
For an n-sided polygon, one only needs to show the conditions are met for n-1 angles and sides. Those will determine the measures of the final angle/side.
You have to find the cos of angle A, so use the Pythagorean equation and trig laws to find the other side of the triangle created by angle A. 3^2 + x^2 = 5^2. x=4. This means cos(A) = 4/5). Make both cos (A) and cos (B) have equal denominators, and add. 148/185 + 60/185 = 208/185. This answer is correct, though it doesn’t appear to be any of the answers you wrote, so either those answers are wrong or you wrote something incorrectly in the problem.
