Answer:
Tonya proof is correct
and Pearl proof is wrong
Step-by-step explanation:
AKL and GKB are obviously congruent. But the reasons given are different, One of the justification is Vertical Angles Theorem, and the other is Adjacent Angles.
But the correct justification is the Vertical Angles Theorem, because the angles are Vertically away from each other, or the angles are at opposite sides of each other. Which is when Vertical Angles Theorem is applied.
Making Tonya correct since that was the answer he given.
The definition of Adjacent Angles is incorrect, this Theorem is used when the angles are Adjacent to each other. When the angles are on the same line as the other angle, is when the definition of Adjacent Angles is applied. Not in this situation
Answer:
1st option: 55 + 19.50m = 250
Step-by-step explanation:
The population would grow 1309 people (total 39,809)
Answer:
A. $2.26
Step-by-step explanation:
An equation for Harper's balance can be written similar to the one written for Raymond's balance. It will be ...
H(t) = 110(1.035)^t
For t = 2, the two balances will be ...
H(2) = 110(1.035^2) = 117.83
R(2) = 110(1.025^2) = 115.57
The difference is ...
$117.83 -115.57 = $2.26
Harper's account will have $2.26 more.
_____
As a quick estimate or sanity check, you can see that Harper's interest rate is 1% more than Raymond's. So, in 2 years, he will earn a little more than 2% more on his investment than Raymond earns. 2% of $110 is $2.20, so the difference can be expected to be slightly more than this.
96 messages .... $4.80
155 messages .... x
x= (155x4.80):96=7.75