Answer:
A
Step-by-step explanation:
In the figure attached, the complete question is shown.
We have to transform all the fractions to new fractions with the same denominator, as follows:
1/8 *4/4 = 4/32
-3/16 *2/2 = -6/32
-1/4 *8/8 = -8/32
1/32
5/32
-1/16 *2/2 = -2/32
Now we can order the list simply comparing numerators:
-8/32, -6/32, -2/32, 1/32, 4/32, 5/32
or
-1/4, -3/16, -1/16, 1/32, 1/8, 5/32
The correct answer is m=-2 (slope) and b=4 (y-intercept).
The area shaded in green is 864 cm²
<h3>Similar figures</h3>
Similar figures, corresponding angles are congruent and the sides are ratio of each other. Therefore,
AB / PQ = CD / RS
30 / 10 = 24 / RS
30RS = 240
RS = 240 / 30
RS = 8 cm
let find the height of trapezium PQRS.
AB / PQ = 36 / h
30 / 10 = 36 / h
30h = 360
h = 360 / 30
h = 12 cm
Therefore,
area of the green portion = area of ABCD - area of PQRS
<h3>Area of a trapezium</h3>
Therefore,
area of ABCD = 1 / 2(24 + 30)36 = 1 / 2 (54)36 = 1944 / 2 = 972 cm²
area of PQRS = 1 / 2(10 + 8)12 = 1 / 2(18)12 = 216 / 2 = 108 cm²
Area of the green portion = 972 - 108 = 864 cm²
learn more on trapezium here: brainly.com/question/11961445
