|AC| = 2|DE|
⇒
4x - 2 = 2(x + 6) = 2x + 12
2x = 14
x = 7
⇒
|AC| = 26
<u>Answer:</u>
So all the possible solutions are:
<u />
<u>Solution Steps:</u>
<em>First you need to solve the real inequality to understand how to find the rest of the possible equations. </em>
<u>Add 78 to both sides:</u>
- <u />
Cancels Out
<em>So now we know the real answer, but it ask for all possible answers. </em>
(Means anything larger than 300 when you plug it into x - 78 > 300.)
<u>Numbers that are greater than 378:</u>
1.)
(False)
2.)
(True)
3.)
(False)
4.)
(False)
5.)
(True)
6.)
(True)
7.)
(False)
8.)
(True)
______________________________

Answer:
ST = 20
Step-by-step explanation:
Line segment RS and segment ST must add up to line segment RT
Step 1: Define
RS = 17
ST = x + 6
RT = 3x - 5
Step 2: Set up equation
mRS + mST = mRT
17 + x + 6 = 3x - 5
Step 3: Solve for <em>x</em>
x + 23 = 3x - 5
23 = 2x - 5
28 = 2x
x = 14
Step 3: Find mST
ST = x + 6
ST = 14 + 6
ST = 20
If you cards are only 5,6,7, then the probability of getting even, then even would be zero.
The directions say that the card is not replaced. Therefore, once you pick the 6, there would be no more even cards.