Following the principle of supplements angles, the angle next to the 101 is 79°. 79+38+c(call the third angle c) = 180
c = 180-117 =63° x is supplemental to c so 180 = x +c
180=x + 63
x =117
Answer:
see the explanation
Step-by-step explanation:
<u><em>The picture of the question in the attached figure</em></u>
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form
or 
In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
Let
x ----> the time in hours
y ----> the distance in miles
<em>Find the value of k</em>
For the point (4,2268)

The slope represent the speed of the airplane
so
The linear equation is

Part 1 :
The point (0,0) represents the starting point of the aircraft, when the time and distance are equal to zero. The cruising starts when time t = 0.
Part 2 :
The point (4, 2268) represents the plane after 4 hours of cruise , and shows it has traveled a distance of 2268 miles after 4 hours
Answer:
B)max/ opens down
Step-by-step explanation:
Parabola equation:
The equation of a parabola has the following format:

If
, that is, x² is multiplied by a positive number, the function has a minimum value and the parabola opens up.
If
, that is, x² is multiplied by a negative number, the function has a maximum value and the parabola opens down.
In this question:

From the graph, we already see that it opens down and has a max, and analitically, since
, this is confirmed. The correct answer is given by option b.
Step-by-step explanation:
The two equation will intersect each other at the point which will be the solution of the given two equations , and the given equations are ,
On subtracting the given equations we have,
Put this value in any equation , we have ,
Hence the lines will Intersect at ,

The rise of -7 means that there is 7 less. The fall of 7 would mean that it is also 7 less. So, yes. They are both the same thing.