Please help me on this
1 answer:
Answer: Option A.
Step-by-step explanation:
The angle ∠QST and the angle ∠QSR are supplementary.
If two angles are supplementary, means that the sum of both angles is 180 degrees.
Thenrefore
Solve for the angle ∠QSR and substitute the value of the angle ∠QST to find the value of the angle ∠QSR. Then, solving the equation, you get:
Then is:
This matches with the option A.
You might be interested in
Using the Factor Theorem and limits, the end behavior of g(x) is that the function decreases to the left and increases to the right.
<h3>What is the Factor Theorem?</h3>The Factor Theorem states that a polynomial function with roots is given by:
In which a is the leading coefficient.
Considering the table, the roots are given as follows:
Hence the function is:
f(x) = a(x + 4)(x - 5)(x - 12).
f(x) = a(x² - x - 20)(x - 12)
f(x) = a(x³ - 13x² - 32x + 240).
When x = 0, y = 1, hence the leading coefficient is found as follows:
240a = 1
a = 0.004167
Then:
f(x) = 0.004167(x³ - 13x² - 32x + 240).
The end behavior is given by the limits of f(x) as x goes to infinity, hence:
.
.
Hence the end behavior is that the function decreases to the left and increases to the right.
More can be learned about the Factor Theorem at brainly.com/question/24380382
#SPJ1