Answer: x = 60°
Step-by-step explanation:
We know a circle is equal to 360°, so we can subtract from 360° to find x using vertical angles and other given details.
Vertical (opposite) angles are equal to each other. This is why, for example, we know AGE and FGC are both 30°.
See attached for a breakdown of the angles.
360° - 30° - 30° - 90° - 90° = 2x
120° = 2x
60° = x
12.40 am is the next time they both ring at the same time
Answer: The solution to the system is (-2, 3)
Step-by-step explanation: In order to graph these equations, plug in any numbers for the value x to solve for the y value. For example, you can choose x to equal -1. Solve for this in both equations: y = -2(-1) - 1 and y = -1 + 5.
Y = -2(-1) - 1
Y = 2 - 1
Y = 1
Y = -1 + 5
Y = 4
Graphing this, you can see the values (-1, 1) for y = -2(-1) - 1 (blue) and (-1, 4) for y = -1 + 5 (red). Continue to solve for y using a variety of x values until you find where both lines cross each other.