Step-by-step explanation:
m∠abc = m∠ebf = 58°
reason: vertical angles
m∠cbf = 180-m∠ebf = 180-58 = 122°
reason: Supplementary angles
m∠dbe = 90-m∠ebf = 90-58 = 32°
reason: complementary angles
Answer:
m = 0.5, b = 2, greater than symbol >
Step-by-step explanation:
Slope:
We can find the slope value by choosing two points on our line (the two green dots are already chosen for us) and dividing the vertical distance between the points (this is called the rise) by the horizontal distance between the points (this is called the run)
Rise ÷ Run
1 ÷ 2 = 0.5
Y-Intercept:
The y-intercept is where the line cuts through the vertical y-axis. We can see that this is at y = 2
Inequality:
The area above the line is shaded in. This is to show that all values greater than the line are applicable, so we will use the greater than symbol, >
Area of sector CAD = 72 / 360 x pi x 6^2 = 7.2pi = 22.6195 in^2
Therefore, area of segment CED = 22.6195 - 17.18 = 5.44 in^2
