We start by drawing a rectangle around the triangle as shown in the diagram below Area of RST = Area of rectangle - (area of triangle A + area of triangle B + area of triangle C)Area of RST = (8×4) - [ (1/2×8×2) + (1/2×4×3) + (1/2×5×2) ] ⇒ we factorise the 1/2 out of the expression for the area of triangle A, B, and C Area of RST = (8×4) - 1/2 (16+12+10)
Formula of determinant is ad - bc
= 2 x 9 - 4 x 3
= 18 - 12
= 6
So the required determinant of given matrix is 6
I think maybe 3) would make the most sense because she wants a random sample of students and the other options are specific on the type of students.
Answer:
x+55=2x-15 [being corresponding angle
55-15=2x-x
40=x