<h3>
Answer: Choice D) 22.5</h3>
========================================
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:
Step-by-step explanation:
- 20 - 15(2²· 5/4) = Exponent
- 20 - 15(4 · 5/4) = Parenthesis
- 20 - 15(5) = Multiplication
- 20 - 75 = Subtraction
- - 55
Answer:
-9
Step-by-step explanation:
the first number
hope it is well understood
The domain of A is the set of x values = {-4, - 2, 1, 4}
and the range is { -2 ,1 and 4}
b) domain is {-4 , -3 , 1}
and range is {1, 3 , 4}
speed = distance / time
... = (158 mi)/(2 h) = 79 mi/h
Jon must maintain an average speed of 79 mph to get there in the time allotted.
