<em>a</em> = 8 - a train arrives at the station once every 8 minutes, so for any given 8 minute interval, a randomly selected train has uniform probability of arriving at the station at some point in this time.
<em>f(x)</em> = 1/8 - the area under the graph of <em>f(x)</em> must be equal to 1. This area corresponds to a rectangle with length <em>a</em> = 8 and height <em>x</em> such that 8<em>x</em> = 1. Solving for <em>x</em> gives 1/8.
<em>P</em> = 5/8 - this is equal to the area under the graph over the interval [0, 5], which is the area of a rectangle with length 5 and height 1/8.
Answer:
x + 3/ x
which is the third option.
Answer: C)
Answer:
D.) AB≅A′B′, ∠A≅∠A′, and ∠C≅∠C′
Step-by-step explanation:
<u>Option A</u> identifies two sides and the angle not between them. The two triangles will be congruent in that case <em>only if the angle is opposite the longest side</em>, which is <u>not true</u> in general.
<u>Option B</u>: same deal as Option A.
<u>Option C</u> identifies three congruent angles, which will prove the triangles <em>similar, but not necessarily congruent</em>.
<u>Option D</u> identifies two angles (sufficient for similarity) and one side, sufficient (with similarity) for congruence. The applicable congruence theorem is AAS.
