Answer:
Step-by-step explanation:
You just need tp translate what is written in the two- column proof into paragraph.
Given that the two angles have same measure of 125°, by transitive property we proof that the angles are congruent.
We don't perform any of addition, division or multiplication operations. We just compare the angle measures and come to conclusion.
This is best described in the paragraph C
Answer:
Step-by-step explanation:
the coefficient for the first term is 1, the next is 11 and so on... now, notice, the elements of the binomial, the 1st element starts off with 11, and every term it goes down by 1, the 2nd element starts off at 0, and goes up by 1 in each term.
now, to get the next coefficient, you simply, "get the product of the current coefficient and the exponent of the 1st element, and divide that by the exponent of the 2nd element in the next term".
for example, how did we get 165 for the 4th term.... well (55*9)/3
how did we get 462 for the 6th term? well (330*7)/5.
and then you can just expand it from there.
Answer:
8:30 PM
Step-by-step explanation:
Let's say that x is minutes since 6:20 PM, and y is position in miles.
Since Jonathan drives at a constant rate, the position vs time graph is linear. Two points on the line are (0, 75) and (20, 85). The slope of the line is:
m = Δy / Δx
m = (85 − 75) / (20 − 0)
m = ½
So the equation of the line is:
y = ½ x + 75
We want to find x when y is 140.
140 = ½ x + 75
65 = ½ x
x = 130
So 130 minutes after 6:20 PM is when Jonathan's position will be 140 miles. 130 minutes is 2 hours and 10 minutes. So the time will be 8:30 PM.
