Answer:
x = 65
Step-by-step explanation:
Triangle interior angle sum is 180 degrees.
2x + 25 + 25 = 180
2x = 130
x = 65
<h3>
Answer: Choice A) 3.5</h3>
Work Shown:
The point (8,28) is the furthest to the right on the graph. We have x = 8 and y = 28 pair up here. Divide the y over the x
y/x = 28/8 = 3.5
side note: the tickmarks on the y axis go up by 4 each time
Answer:

Step-by-step explanation:
Consider a sketch of the problem as shown in the picture, where:
- Blue line is given by y = 4x + 1.
- Point B is the center of the circle.
- Point A is (-3, 0).
Since the center of the circle lies on the line y = 4x +1 and is tangent to the x-axis at point A, then its radius BA is perpendicular to the x-axis. To find the coordinates of point B, we must replace x = -3 into the blue line equation: y = 4x(-3) + 1 = -11.
So, we know that the center of the circle is at B=(-3, -11). And furthermore, the radius BA is of length r=11.
Since the <em>general equation of the circle</em> of radius lenght r centered at (h, k) is given by

then with h = -3, k = -11 and r= 11, the equation of our circle is

Answer:
Step-by-step explanation:
A grocery store has a 13%-off sale on all bread.
Let b represent the original price of a loaf of bread.
This means that the amount by which the price of bread was reduced would be
13/100 × b = 0.13 × b = 0.13b
The new price for the loaf of bread would be
b - 0.13b
you decide to purchase 6 loaves of bread. The expression would be
6(b - 0.13b)
Expanding the expression, it becomes
6b - 0.78b
The answer is twenty four