The slope of AC is -0.4
Proof:
In triangles ABC and DBE,
∠DBE is common to both triangles.
AB = 2DB (D is the midpoint of the interval AB)
Also, BC = 2BE (E is the midpoint of the interval BC)
Thus triangles ABC and DBE are similar in the ratio 2:1
Since, they are similar, ∠BDE must equal ∠BAC (corresponding angles in similar triangles)
If ∠BDE = ∠BAC, DE must be parallel to AC (corresponding angles are equal along parallel lines)
Thus, the slope of AC = the slope of DE
Thus, the slope of AC is -0.4
Answer:
Step-by-step explanation:
A box contains four cards: One card is black on both sides, one card is red on both sides and two cards are black on one side and red on the other side. One card is selected at random and you can see only one side.i) If the side you see is black, what is the probability that the other side is black?ii) If the side you see is black, what is the probability that the other side is red?
Given that:
Number of cards = 4
x = Black on both sides = 1
y = Red on both sides = 1
z = Black on one side, red on one side = 2
.i) If the side you see is black, what is the probability that the other side is black = b
Probability of black
P(x) = 1/4 ; p(b|x) = 1
P(y) = 1/4 ; p(y|x) =
2) C
3) B
4) C
6) I'm pretty sure its D but it could be C