<h3>
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
Answer:
<u><em>x=1/3 is the answer</em></u>
Step-by-step explanation:
6x+15=3x+14
substracting 3x on both sides
6x-3x+15=3x-3x+14
3x+15=14
subtracting 15 on both sides
3x+15-15=14-15
3x=1
<em>x=1/3</em>
<em>i hope this will help you</em>
We have to evaluate the piecewise function for f(6). This means when x=6.
Now, we have to look at the conditions.
So when x≥0, we use the second function.
So 6>0, then, we use the second function.
Then:
Hence, the correct answer is option D.
Answer:
Step-by-step explanation:
2
9514 1404 393
Answer:
0
Step-by-step explanation:
The slope can be found using the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (4 -4)/(-9-3) = 0/-12 = 0
The slope of the line is zero. It is a horizontal line (y=4).