First we know that:
AB+BC=AC
now , since B is the midpoint of AC, this means that AB=BC
therefore,
AB+BC=AC can also be written as
AB+AB=AC
3x-1+3x-1=8x-20
6x-2=8x-20
-2+20=8x-6x
18=2x
x=9
therefore:
AB=3(9)-1=27-1=26
AC=8(9)-20=52
BC=AB=26
ATTACHED is the written out response.
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The answer is yes.
Plug 4 in for the value of n so you have 4+8 is less than it equal to 13. And since 12 is less than 13 it is true, and a solution to the inequality.
Lets find the area of the 2 rectangles on the left and right side.
8*7 (2) = 112 (Both rectangles in total)
Now lets find the rectangles on the front and back.
13*7 (2) = 182
Now, the top and bottom ones.
13*8 (2) = 208
Add them all together.
112+182+208 = 502
The surface area is 502.
Answer: AB = 150 degrees
Step-by-step explanation: 90 + 60 = 150