<u>Answer:</u>
The correct answer option is c. a = 11.94.
<u>Step-by-step explanation:</u>
We are given a right angles triangle with an angle ABC equal to 58 degrees and side length AC known to be equal to 19.1.
We are supposed to find the length of side a.
Side AC, opposite to angle ABC, will be the perpendicular and BC will be the base so we will use the formula of tan to find b.
Answer:
Perpendicular
Step-by-step explanation:
Remember that:
So, let's find the slope of QR and ST.
QR)
We can use the slope formula:
Let Q(-6, 11) be (x₁, y₁) and R(2, -1) be (x₂, y₂). Substitute:
Subtract:
So, the slope of QR is -3/2.
ST)
Let S(-4, 8) be (x₁, y₁) and T(-1, 10) be (x₂, y₂). Substitute:
Subtract:
So, the slope of ST is 2/3.
The negative reciprocal of -3/2 is 2/3.
And the negative reciprocal of 2/3 is -3/2.
So, the slopes are indeed negative reciprocals of each other.
So, QR and ST are perpendicular.
