The slope is 2.
Reason: you find the slope by dividing the difference of the y-coordinates (5 and 9) by the difference of the x coordinates (1 and 3)
9-5=4
3-1=2
4 divided by 2 =2
Answer:
measure of larger angle = 240 degrees
measure of each of the smaller angles = 120 degrees
Explanation:
In any polygon, the sum of measures of interior angles can be calculated using the following rule:
sum of interior angles = (n-2)*180 where n is the number of sides
Now, for an octagon, n=8, this means that:
sum of measures of interior angles = (8-2)*180 = 1080°
An octagon has 8 interior angles, one of which is twice the measure of the others.
Assume that each of the 7 smaller angles is x degrees and that the larger angle is 2x degrees
Computing their summation, we will find that:
x + x + x + x + x + x + x + 2x = 1080
9x = 1080
x = 120
This means that:
each one of the smaller angles = x = 120 degrees
the larger angle = 2x = 2 * 120 = 240 degrees
Hope this helps :)
Answer:
52°
Step-by-step explanation:
In the figure attached, Circle A is shown. There we can see that:
∠BC + ∠CD = ∠BAD
We know that Arc BC measures 96° and arc BAD measures 148°. Replacing this data into the equation and solving for Arc CD, we get:
96° + ∠CD = 148°
∠CD = 148° - 96°
∠CD = 52°
Answer: See explanation
Step-by-step explanation:
We will use the formula for an arithmetic sequence which will be:
a + (n - 1)d
where a = unknown
n = 6
d = 4
We then slot them into the formula
a + (6 - 1)4 = 12
a + 5(4) = 12
a + 20 = 12
a = 12 - 20
a = -8
The 6 numbers are
1st term = -8
2nd term = -8 + 4 = -4
3rd term = -4 + 4 = 0
4th term = 0 + 4 = 4
5th term = 4 + 4 = 8
6th term = 8 + 4 = 12
Answer:
f(x) = x(x-1)
Step-by-step explanation:
The easy way to do this is to look at it graphically. an inverse function is reflected across the line y=x. f(x)=x(x-1) is an upward opening parabola when reflected, there are two y-values for all positive values of x. A function can only have one y for every x.
