Answer:
Step-by-step explanation:
We have:
(1) two trapezoids with bases b₁ = 7cm and b₂ = 5cm and the height h = 4cm
(2) three rectangles 3 cm × 7 cm, 3 cm × 4 cm and 3 cm × 5 cm.
The formula of an area of a trapezoid:
Substitute:
Calculate the areas of the rectangles:
The Surface Area:
Answer:
A
Step-by-step explanation:
Calculate the slope m using the slope formula
m =
with (x₁, y₁ ) = (6, a ) and (x₂, y₂ ) = (9, - 4 )
m = =
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
2x - 3y = 6 ( subtract 2x from both sides )
- 3y = - 2x + 6 ( divide through by - 3 )
y = x - 2 ← in slope- intercept form
with slope m =
Parallel lines have equal slopes , then
=
, so
- 4 - a = 2 ( add 4 to both sides )
-a = 6 ( multiply both sides by - 1 )
a = - 6 → A
