Answer:
See below.
Step-by-step explanation:
Triangle ABC will be right-angled if 2 of its sides are perpendicular to each other. When sides are perpendicular the product of their slopes = -1.
Slope of side AB = (-3-2)/(2-5) = -5/-3 = 5/3
Slope of side BC = (3- -3) / -8-2) = 6/-10 = -3/5
The product of the slopes = 5/3 * -3/5 = -15/15 = -1.
So AB is perpendicular to BC and triangle ABC is right-angled .
Answer:
A
Step-by-step explanation:
Consider the first blank is the green box.
Given:
The equations are


To find:
The value belongs in the green box
Solution:
We have,
...(i)
...(ii)
Adding (i) and (ii), we get



So, the value for the first black is 2x. It means the value belongs in the green box is 2x.
The values of three blanks are 2x, 0 and 13 respectively.
Therefore, the correct option is B.