Answer:
DB = 24
Step-by-step explanation:
First, note that the diagonals of a rectangle are equal and bisect each other. In other words, DB = CA and CE = EA and DE = BE.
Also, AE + CE = CA
So, using this, we can write this equation:
AE = CE
x + 4 = 3x -12
Subtract 4 from both sides.
x = 3x -16
Subtract 3x from both sides.
-2x = -16
Divide both sides by -2
x = 8
Then, substitute this into AE + CE = CA
x + 4 + 3x - 12 =
8 + 4 + 24 - 12 = 24
Then, because CA = DB,
DB = 24
I hope this helps! Feel free to ask any questions! :)
Answer:
1/4 is correct, or .25 in decimal form
Step-by-step explanation:
Answer:
Standard form of the equation is:
∴ 
Step-by-step explanation:
Given equation:
To convert the given equation to standard form of equation:
Using distribution.
Adding 2 both sides.
Adding 
to both sides.
∴
Answer:
B: 72
Step-by-step explanation:
Split the shape into separate rectangles! It will make the problem much easier. You can split it so that you will have a 12 x 3 rectangle and a 6 x 6 rectangle because you subtract 3 from 9 and subtract 6 from 12.
12 x 3 = 36
6 x 6 = 36
36 + 36 = 72
Let me know if you're still confused!
184 = ¹/₂x(8.5 + 14.5)
184 = ¹/₂(23)
<u>184</u> = <u>11¹/₂x
</u>11¹/₂ 11¹/₂
16 = x
