The Corresponding Angles Theorem states: If two parallel lines<span> are cut by a </span>transversal<span>, then the </span>pairs<span> of corresponding angles are </span>congruent.
A theorem is aproven<span> statement or an </span>accepted<span> idea that has been shown to be true.</span>
Answer:
After 8 hrs both candles would've burned out completely, so they'll, more or less, be at the same height.
Let a and b be the respective rates in bricks per minute for Alex and Bob separately.
Alex lays 4 bricks per minute more than Bob
a = b + 4
Working together, their rates scale by 3/4 and they achieve 15 bricks per minutes.
(3/4)(a + b) = 15
Two equations, two unknowns, we solve:
b = a - 4
(3/4)(a + a - 4) = 15
2a - 4 = (4/3) 15 = 20
2a = 24
a = 12
b = a - 4 = 8
Answer: Alex alone does 12 bricks per minute, Bob alone 8 bricks per minute
Check: a=b+4, good
(3/4)(12 +8)=(3/4)(20)=15, good
Answer:
83.75%
Step-by-step explanation:
67/80 = 83.75%
2x + y = 7
2x/2 7/2
x + y= 3.5