Since angles EFA, AFB, and BFC lie on a straight line, then they must add up to 180° (angle sum of a straight line)
So, 7x + 4 + 8x + 6 + 6x + 2 = 180
21x + 12 = 180
21x = 168
x = 8
Answer:
Second one and the fourth one.
Step-by-step explanation:
Let’s look at this. When we are finding the area of the rectangle, we multiply the length times the width. Let’s look at the first option.
2 times (x + 7)
2x + 14
this one won’t work.
second one:
14(x + 3)
14x + 42
this works.
thrid one.
14(x+5)
14x + 70
nope.
fourth one.
7(2x+6)
14x + 42
works.
fifth one,
2(7x +20)
14x + 40
Does not work.
You are correct about the y-intercept. In case you are unsure about the slope, you can check using y1 - y2 / x1 - x2:
(0, -1) and (1, 2)
-1 - 2 / 0 - 1
-3 / -1
3
The slope is 3; you chose the correct answer, great job.
The slope is 2 hope this helps
Answer:
d) The binomial distribution with n = 4 and p = 0.5
Step-by-step explanation:
They re 10 cards consisting of 5 red cards and 5 black cards which are shuffled thoroughly and choosing at random. After choosing the cards are replaced back.
The probability of choosing a red card = number of red cards / total number of cards = 5 / 10 = 0.5
The probability of choosing a black card = number of black cards / total number of cards = 5 / 10 = 0.5
Since after choosing, the cards are replaced back and shuffled making the next draw independent of the previous draw repeated four times. This is a binomial distribution with n = 4 and p = 0.5
