A) corresponding angle theorem
Given:
The given function is:

To find:
The value of x that is in the domain.
Solution:
Domain is the set of input values.
We have,

We know that the square root is defined for non negative values. So,



Thus, the domain of the given function is all real number that are greater than or equal to 7.
In the given options 0, -3, 6 are less than 7 but 8 in option A is the only value that is greater than 7. So,
is in the domain of the given function.
Therefore, the correct option is A.
Answer:

Step-by-step explanation:
Consider the options for this question are as follow,
Here, In triangles ABC and PQR,
AB = c, BC = a, AC = b, PQ = r, QR = p and PR = q,
Since,

We know that,
The corresponding sides of similar triangles are in same proportion,
Thus,




It’s D bc Dt= 15x3 and it’s not that hard to solve
Answer:
Range = 13
Mean = 8.3
Variance = 17.61
Step-by-step explanation:
Given the population dataset :
2, 9, 15, 4, 12, 9, 13, 6, 3, 10
1.) Range : (maximum - minimum)
Maximum = 15 ; minimum = 2
Range = (15 - 2) = 13
2.) population mean (μ) :
μ = ΣX / n
n = sample size
μ = (2 + 9 + 15 + 4 + 12 + 9 + 13 + 6 + 3 + 10) / 10
μ = 83 / 10
μ = 8.3
3.) Population variance (s²)
Σ(x - μ)² / n
=[(2 - 8.3)^2 + (9 - 8.3)^2 + (15 - 8.3)^2 + (4 - 8.3)^2 + (12 - 8.3)^2 + (9 - 8.3)^2 + (13 - 8.3)^2 + (6 - 8.3)^2 + (3 - 8.3)^2 + (10 - 8.3)^2] / 10
s² = 176.1 / 10
s² = 17.61