Answer: each student will receive 2 pounds
Step-by-step explanation:
28,33,38,43
the common difference can be found by subtracting the first term from the second term.....33 - 28 = 5....so the common difference (d) = 5
an = a1 + (n - 1) * d
n = the term u want to find = 11
a1 = first term = 28
d = common difference = 5
now we sub
a11 = 28 + (11 - 1) * 5
a11 = 28 + 10 * 5
a11 = 28 + 50
a11 = 78
Answer:the correct answer is 2
Step-by-step explanation:
to find the scale factor of similar figures you can divide image over pre-image
so you can divide DF over AC
Answer:
106 degrees
Step-by-step explanation:
Sides AB and CD are equal in length and sides AD and BC are parallel to each other. This tells us that angles B and C are equivalent. Knowing this, we can set up the following equation to solve for x:

Subtract both sides by 42

Subtract both sides by 2x

Divide both sides by 2

Now, to find angle ABC, or angle B, we can plug x back into its expression:

Therefore, the measure of angle ABC is 106 degrees.
I hope this helps!
Answer:
There is a 95.6% chance that the weight will fall within this range.
Step-by-step explanation:
This is because the extremes that are given are roughly two standard deviations from the mean. To be outside of that, there is only 2.2% likelihood to be higher and another 2.2% to be lower. When we subtract these two from 100%, we get our probability.
100% - 2.2% - 2.2% = 95.6%