Answer: x=10
Step-by-step explanation:
1/5(x-2)=1/10(x+6)
1/5x -2/5=1/10x + 6/10
+2/5 +2/5
1/5x =1/10x + 1
-1/10 -1/10
1/10x= 1 divide both sides by 1/10
x= 10
9514 1404 393
Answer:
28 square units
Step-by-step explanation:
The figure can be decomposed several ways. Maybe easiest to see is as a 8×4 rectangle with a 2×4 right triangle cut from the corner.
The area of the rectangle is ...
A = LW = (8)(4) = 32
The area of the missing triangle is ...
A = 1/2bh = 1/2(2)(4) = 4
Then the area of the shaded figure is ...
32 - 4 = 28 . . . square units
_____
<em>Alternate solution</em>
If you divide the figure with a horizontal line across the middle, it becomes a 4×4 square and a trapezoid with bases 2 and 4 and height 4. The shaded area is the sum of these areas.
The area of a trapezoid is ...
A = 1/2(b1 +b2)h
A = (1/2)(2 +4)(4) = 12
The area of the square is ...
A = s² = 4² = 16
Then the total area is ...
12 +16 = 28 . . . square units
Its an acute angle, im in 6th grade, and your in high school so..... im sorry if i get it wrong, but hey! i tried! lol
