Opposite rays connected at their endpoint form a line. A line is continuous infinitely in both directions.
3(4x + 6) - 9x
Apply the Distributive Property:
3 (4x) + 3 * 6 - 9x
Multiply by 4 by 3 to get 12:
12x + 3 * 6 -9x
Multiply 3 by 6 to get 18:
12x + 18 - 9x
Subtract 9x from 12x to get 3x:
3x + 18
Your answer is the second option!
Answer:
c is the answer
Step-by-step explanation:
Answer:
z = 110
Step-by-step explanation:
The measure of an angle created by the intersection of two secants outside a circle is half the difference of the angles it intercepts. In this it would be:
2x + 15 = 1/2 * (10x + 20 - 80)
We can now solve:
4x + 30 = 10x - 60
30 = 6x - 60
6x = 90
x = 15
This means the values of 10x + 20 is 10(15) + 20, which is 170.
Now, we can add up all the arcs in a circle, which sum to 360 degrees:
360 = z + 170 + 80
360 = z + 250
z = 110
