Answer: The measurement of ∠EFG is equal to 70°.
Step-by-step explanation:
Two interior angles who are always opposite to an exterior angle sums to that exterior angle. So we would start as the following:
(6x - 10) + 38 = 7x + 18
In order to find m∠EFG, we must first isolate x. In order to do that, we first add like terms together on both sides.
(6x - 10) + 38 = 7x + 18
6x + 28 = 7x + 18
We then substract 18 on both sides.
6x + 10 = 7x
We finally substract 6x from both sides in order to have the value of x.
x = 10
Now that we know the value of x, we substitute it in our the equation in order to find m∠EFG.
m∠EFG = 6x + 10
m∠EFG = 6(10) + 10
m∠EFG = 60 + 10
m∠EFG = 70
Answer:
D) 0.500
Step-by-step explanation:
Blue Socks = 6
Grey socks = 10
Probabilities to find :
Since there are a total of 16 socks, the probability of both socks being blue is
Probability(blue) = 
The probability of both being grey is
Probability(grey) =
(Note: After 1 sock is picked , next sock drawn would have a different probability as 1 sock is already picked so it would be 1 minus the total socks available of that color)
The probability two socks match:
Probability(blue) + Probability(grey) =
+
=
=
= 0.500
9(400 + 70 + 5). Distribute the nine to all the numbers in parentheses. 3600 + 630 + 45 = 4,275. 9 * 475 =4,275