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Answer: Choice D) 22.5</h3>
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Explanation:
x = length of BC
AC = AB+BC
AC = 6 + x
CE = CD+DE
CE = 22+8
CE = 30
Triangles ACE and BCD are similar triangles (can be proven by the AA similarity theorem due to the fact that AE || BD)
Therefore the corresponding sides are proportional letting us set up the proportion below
AC/BC = CE/CD
(6+x)/x = 30/22 .... substitution
22(6+x) = 30x ... cross multiply
132+22x = 30x
132 = 30x-22x ..... subtract 22x from both sides
132 = 8x
8x = 132
x = 132/8 .... divide both sides by 8
x = 16.5
Now use this to find the length of AC
AC = 6+x
AC = 6+16.5
AC = 22.5
Slope is 2/3 so formula is y+1=⅔(x-8)
y+1= ⅔x-16/3
multiply thru by 3 to get 3y+3=2x-16
simplify too get 2x-3y=16
Answer:
x^2-x+1
Step-by-step explanation:
sorry of this isn't correct
Answer:
5 gallons and 3 quarts
Step-by-step explanation:
There are 4 quarts in a gallon so 23/4=5 gallons and 3 quarts
Answer: 3419.46
Step-by-step explanation: A=3.14xR^2. To get radius, half your diameter to be 33. 3.14x33^2