M(x) = 5x + 4 n(x) = 6x - 9
Part 1 (m + n)(x) = 5x + 4 + 6x - 9
= 11x - 5
Part 2 (m * n)(x) = (5x + 4)(6x - 9) = 30x^2 - 21x - 36
Part 3 m[n(x)] = 5(6x - 9) + 4
= 30x - 45 + 4
= 30x - 41
Answer:
Step-by-step explanation:
Answer:
See Explanation
Step-by-step explanation:
Given

Required
Which would not prove the similarity
implies that:
The following angles are congruent



And the following lengths are congruent



The options are not clear; so, it's a bit difficult to select the correct option.
<em>Any of the options that is different from the above list of 6 congruent pairs is the answer to your question.</em>
Answer:
68°
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you that the relation between the angle's adjacent side and the hypotenuse is ...
Cos = Adjacent/Hypotenuse
This means ...
cos(B) = a/c
B = arccos(1/√7) ≈ 68°
Answer: (a)
(b) 
Step-by-step explanation:
(a) P( Bill hitting the target) = 0.7 P( Bill not hitting the target) = 0.3
P( George hitting the target) = 0.4 P(George not hitting the target) = 0.6
Now the chances that exactly one shot hit the target is = 0.7 x 0.6 + 0.4 x 0.3
= 0.54
Chances that George hit the target is = 0.4 x 0.3 = 0.12
So given that exactly one shot hit the target, probability that it was George's shot =
=
.
(b) The numerator in the second part would be the same as of (a) part which is 0.12.
The change in the denominator will be that now we know that the target is hit so now in denominator we include the chance of both hitting the target at same time that is 0.4 x 0.7 and the rest of the equation is same as above i.e.
Given that the target is hit,probability that George hit it =
= =