Answer:
Corresponding angles between parallel lines and a transversal are equal. By comparing both proofs, Michael's proof is incorrect.
Step-by-step explanation:
Slope formula:
y2 - y1
_____
x2 - x1
5 + 16
_____
18 + 8
21
__
26
slope is 21/26
Answer:
21 matches
Step-by-step explanation:
This is a combination problem where we have to select two member out of 7 members
So we want calculation of 7C2
7C2 = 7!/[(2!)(7-2)!]
(7*6*5*4*3*2*1)/[(2*1) *(5*4*3*2*1]
(7*6)/2 ~ Note everything that easily cancels here!
42/2
21 matches
Answer:
a. Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are
b. Theoretical Probability. Experimental Probability.
Use theoretical probability by counting the favorable outcomes and put that in a fraction above all possible outcomes.
Use experimental probability by comparing the number of times the event occurs to the total number of trials.
Step-by-step explanation:
I don't really know what to explain. :v
Answer:
KM = √70 ≈ 8.367
Step-by-step explanation:
FD is a midsegment whose length (8) corresponds to the average of the numbers of ratio units of LM : KN = 3 : 5. That is, each of those ratio units must be 2 length units, so KN = 10.
∠MKN = ∠KML = ∠N because the first two angles are alternate interior angles where transversal MK crosses parallel lines ML and KN. The latter two of these angles are equal because the problem statement says so.
These angle relationships make ΔKMN an isosceles triangle, with E the midpoint of the base. That is, KE = 5. We are told ME = 3√5, so the Pythagorean theorem tells us ...
... KM² = KE² +ME² = 5² +(3√5)² = 70
... KM = √70 . . . . . take the square root
