She could afford exactly 3 concert tickets while having $22.75 in savings.
Given:
Base of a right triangle = 7 in
Height of a right triangle = a
Hypotenuse = 16 in
To find:
The length of side a.
Solution:
Using Pythagoras theorem:



Subtract 49 from both sides.


Taking square root on both sides, we get
a = 14.4
The length of side a is 14.4 in.
We have to find the slope of the line that passes through this points:
p1(-2,15), p2(-8,-5)
the slope of a line through two points is calculated like this:
m = (y2 - y1)/(x2 - x1)
where x1,y1,x2,y2 are the coordinates of the two points, so we have:
m = (-5 - 15)/(-8 - (-2))
m = (-20)/(-8 + 2)
m = -20/-6
m = 10/3
that is the line slope
Since the exterior angle of a triangle is equal to the sum of the interior opposite angles, angle 5 = 90 + angle 1.
Given that angle 5 = 147, 147 = 90 + x.
x = 57 degrees.
So, angle 1 is 57 degrees.