BC¯¯¯¯¯ is parallel to DE¯¯¯¯¯.
2 answers:
∆ABC ~ ∆ADE
AC/AE = AB/AD
AC = AE•AB/AD
AC = (AC + 15)•8/18
9AC = 4AC + 60
5AC = 60
AC = 12
Answer:
AC = 12
Step-by-step explanation:
We can use proportions to solve. Put the smaller triangle side over the larger triangle side
AB AC
--------- = --------
AD AE
Substituting what we know
8 AC
--------- = --------
8+10 AC+15
Using cross products
8 *(AC+15) = (8+10)*AC
Simplify
8 *(AC+15) = (18)*AC
Distribute
8AC +120 = 18AC
Subtract 8AC from each side
8AC-8AC +120 = 18AC -8AC
120 =10AC
Divide each side by 10
120/10 = 10AC/10
12=AC
You might be interested in
Answer:
A. and C. neither of them have a repeating y value if you input a vertical line on the graph
Answer:
7839716
Step-by-step explanation:
Answer:
x=-8/5, y=-4/5. (-8/5, -4/5).
Step-by-step explanation:
y=-2x-4
y=3x+3
-----------
-2x-4=3x+3
-2x-3x-4=3
-5x-4=3
-5x=3+4
-5x=8
x=8/-5
y=-2(-8/5)-4
y=16/5-4
y=16/5-20/5=-4/5
21/9 + 74/9 = (21 + 74)/9 = 95/9 = 10 5/9
Answer:
^
Step-by-step explanation: