Answer:
<h3>6 degrees</h3>
Step-by-step explanation
Find the diagram attached. In Line geometry, there is a theorem that states that the sum of the adjacent interior angles is 180 degrees. According to the diagram, the adjacent interior angles are 7x- 15 and 24x + 9.
The sum of this angles must give 180 degrees as shown;
7x-15 + 24x + 9 = 180
7x+24x-15+9 = 180
31x-6 = 180
31x = 180+6
31x = 186
x = 186/31
x = 6
Hence the value of x is 6 degrees
Graph 2, Option 4 would be your answer because:
If you substitute 1 into the equation (x), you would get about 212
If you substitute 2, you would get approximately 225
If you substitute 10, you would get approximately 364.
Looking at the graph, your answer would be going up and to the right, the population is getting bigger while the years are increasing as well.
If we substitute 15 into x in the equation, we would get approximately 492.
Answer:
The center is located at (-1, -2), and the radius is 5.
Step-by-step explanation:
The general equation of a circle is given as
(x - a)^2 + (y - b)^2 = r^2
where
a and b are the centre of the circle and r is the radius
Given the equation
x2 + 2x + y2 + 4y = 20
add 1 ad 4 to both sides
x2 + 2x + 1 + y2 + 4y + 4 = 20 + 4 + 1
factorise
(x +1)^2 + (y+2)^2 = 5^2
comparing with the general equation
a = -1, b = -2, r = 5 (all measured in units)
3 of the 36 outcomes have a sum of 10. The probability is 3/36 = 1/12
