<u><em>Answer:</em></u>
The missing term is 3x²
<u><em>Explanation:</em></u>
Addition and subtraction can only take place between like terms.
<u>For two terms to be like</u>, both the variable and its degree must be the same in both terms
<u>Now, consider the given terms:</u>
First term is 7x² has the variable x with degree 2
The resulting term is 10x² has the variable x with degree 2
This means that the missing term is ax²
We need to get the value of "a"
<u>This is done as follows:</u>
ax² + 7x² = 10x²
x²(a+7) = 10x²
a+7 = 10
a = 10-7
a = 3
Therefore, the missing term is 3x²
Hope this helps :)
8 thousand dollars because if the scholarship is worth 4,000 then double it and the annual tuition would be 8,000
Answer:
The probability that the person reaches home for the holidays is 0.94.
Step-by-step explanation:
A person wants to go home for Thanksgiving and he has booked a flight with US-Scareways.
It is provided that in 30 percent of the cases the company has canceled the flight you were on.
SO there is 70% chance of reaching home without any difficulties.
In case the flight is cancelled, then as a backup the person's friend Walter offers a ride home.
Walter also has a 80% chance of giving the ride. So there is 20% chance the person will not be able to reach hone if his flight gets cancelled.
Consider the tree diagram below.
The events are:
FC = flight is cancelled
FT = Flight is on time
H = reaches home
Compute the probability that the person reaches home as follows:
P (Reaching Home) = P (H|FC) × P (FC) + P (FT)

Thus, the probability that the person reaches home for the holidays is 0.94.
Answer:
Step-by-step explanation:
Let the two angles be x and y
Then: y = 5x - 6
And x + y = 180° (the of supplementary angle is 180°)
Putting y = 5x - 6
x + 5x - 6 = 180
6x = 180 + 6
6x = 186
x = 186/6
x = 31°
And y = 5x - 6
y = 5(31) - 6
y = 155 - 6
y = 149°
The angles are 31° and 149°