The measure of angle B is equal to 60 degrees.
In order to find this, we can first note that the angle C (in the right side triangle) is equal to 80 degrees. We can tell this because it creates a straight line with the other angle C and therefore the two combined give us 180 degrees.
Then we can add angle A, B and C together in the right side triangle to get 180 degrees since they are all the measures of angles in a triangle.
A + B + C = 180
2x + 3x + 80 = 180
5x + 80 = 180
5x = 100
x = 20
Now that we have the x value, we can plug into the equation for B.
B = 3x
B = 3(20)
B = 60
Sounds that you have several answer choices. If that's the case, you need to share those choices. All of them are probably inequalities.
Answer:
(x - 1)(x + 1)(x² + 1)
Step-by-step explanation:
Step 1: Factor Difference of Squares
(x² - 1)(x² + 1)
Step 2: Factor Difference of Squares for non-complex binomial root
(x - 1)(x + 1)(x² + 1)
And we have our answer!
Answer: (D) <em>bottom right graph</em>
<u>Step-by-step explanation:</u>
The vertex form of a quadratic equation is: f(x) = a(x - h)² + k, where
- (h, k) is the vertex
- |a| is the vertical stretch
- sign of "a" determines the direction of the parabola
Given g(x) = (x - 3)² - 5
- vertex (h, k) = (3, -5)
- vertical stretch |a| = 1
- sign of "a" is positive so parabola points up
The only graph that satisfies all of these conditions is the bottom right.
Answer:
58.0
Step-by-step explanation:
Given the data:
56 65 62 53 68 58 65 52 56
Reorderd data: 52, 53, 56, 56, 58, 62, 65, 65, 68
Median = 1/2(n + 1) th term
n = sample size = 9
Hence,
Median = 1/2(9 + 1)th term
Median = 1/2(10)th term
Median = 5th term
5th term in the reordered data = 58
Hence, median age is 58
