The two angles shown are vertical angles. They form when you cross two lines. They are opposite one another. Note: They don't have to be vertically up and down in relation to each other. It's possible to have them horizontally side by side like this.
So because they are vertical angles, they are congruent. This means they are equal in measure
x+90 = 4x
x+90-x = 4x-x
90 = 3x
3x = 90
3x/3 = 90/3
x = 30
Therefore the answer is choice C) The value of x is x = 30
We can check it by plugging this into the original equation above
x+90 = 4x
30+90 = 4*30
120 = 120
our answer checks out
Ha 145271 answer dunno hehe
There are 721 freshman.
Make 35% a decimal, multiply by 2060
.35*2060=721
Answer:
0.9355
Step-by-step explanation:
What we will use here is conditional probability formula.
let A be the event that the plane departs on time
and B be the event that it arrives on time
P(A) = 0.87
P(B|A) = 0.93
P(B) = ?
P(A n B) = ?
Mathematically;
P(B|A) = P(B nA)/P(A)
0.93 = 0.87/P(A)
P(A) = 0.87/0.93
P(A) = 0.935483870967742
which is 0.9355 to four decimal places
If we fit the data as calories as a function of wt loss/week, we need to arrange the data first from lowest to highest wt loss/week lbs and calories. Then, the set of points can be plotted in a graph and a graphical method of line fitting can be used. Curve fitting programs (which are also in the calculator) can be used. The result is:
y = -266.5741x + 2246.5116
The value of R² is 0.7109. The fit is not very good since R² is quite far from 0.99.
