Answer:
∠1, ∠5 and ∠8 (a)
Step-by-step explanation:
∠1 because vertical angles are congruent
∠5 because opposite interior angles are congruent
if ∠5 = 70° then ∠8 also equals 70° because of vertical angles
let me know if the propositions they gave don't match with mine.
thanks
Answer:
E(X) = 17.4
Step-by-step explanation:
We can calculate the expected value of a random X variable that is discrete (X takes specific values ) as:
E(X) = ∑xp(x) where x are the specific values of x and p(x) the probability associated with this x value.
In this way the expexted value is
E(X) = ∑xp(x) =(16*0.6)+(18*0.3)+(20*0.2) = 8+5.4+4 = 17.4
Answer/Step-by-step explanation:

[RevyBreeze]
Answer:
Altogether Gavin and Jim won £95.
Step-by-step explanation:
We are given the following in the question:
Ratio of money won by Gavin and Jim = 5:2
Gavin gets £39 more than Jim.
Let x be the amount of money Won by Jim.
Then, money won by Gavin =

Thus, we can write the equation:

Solving, we get,

Thus, Gavin won £65 and Jim won £26.
Money won altogether =

Thus, altogether Gavin and Jim won £95.