Answer:
A century ride is 100 miles, hence the "century" name. A 100-kilometer bike ride is called a "quarter century" and converts to roughly 62 miles.
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Step-by-step explanation:
Answer:
Step-by-step explanation:
1) m∠1 +m∠2 + m∠3 = m∠LAM (Angle addition postulate)
2) m∠1 + m∠2 + m∠3 = 180 (def. of straight angle)
3) y║z (Given)
4) ∠1 ≅ ∠5 (alternate interior angles theorem)
5) ∠3 ≅ ∠6 (alternate interior angles theorem)
6) Since m∠1 + m∠2 + m∠3 = 180
m∠5 + m∠2 + m∠6 = 180
Hence proved.
Answer:
Perimeter = 90
Step-by-step explanation:
Let c = hypotenuse, 15 = b, and a = other leg
Given: c/a = 13/12, so a = 12c/13.
c^2 = b^2+a^2
Using Pythagorean Theorem: c^2 = 225 + 144c^2/169.
169c^2 = 169(225) + 144c^2
25c^2 = 169(225)
5c = 13(15)
c = 13(3) = 39.
and a = 12*39/13 = 12*3 = 36
You now can compute all three sides, and
thus obtain perimeter = 36+39+15 = 90.