Answer: x=7 and AC = 44 unuts.
Step-by-step explanation:
We know that the diagonals of a parallelogram bisect each other. (i)
Here in parallelogram ABCD , AC and Bd are diagonals intersecting at E.
BE = 2x + 2, BD = 5x – 3, and AE = 4x – 6
Using (i)

Now , AE = 4(7)-6 = 28-6 = 22
AC =2 AE = 2 (22) =44 units.
Hence, x=7 and AC = 44 unuts.
Answer:
6 seconds
Step-by-step explanation:
Initial distance of Mario from motion detector = 2 ft
Speed of Mario = 1.5 ft/sec
Total distance of Mario from motion detector = 11 ft
Total distance moved by Mario while walking at the rate of 1.5 ft/sec = 11 - 2 = 9 ft
Given that:
Distance = 9 ft
Speed = 1.5 ft/sec
<em>Formula:</em>


So, at <em>6 seconds</em>, Mario will be 11 ft from the motion detector.
Formula for perimeter a+b+a+b
12+5+12+5= 17+17= 34 .34=P
$16,744.00
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Step-by-step explanation:
∆FGE ~ ∆ JKL
i.e, Angle FGE = angle JKL = 63°
and angle GEF = angle KLJ = 29°
also, angle GFE = angle KJL = 88°
so, the ∆FGE ~ ∆ JKL by AA property of similarity !!
• not other options because if we take corresponding angle they are not equal
For eg. for ∆ EFG ~ ∆ JKL
the angle EFG must be equal to angle JKL to be similar !!
but they are not equal !!
so, they are not similar !!
and such ,all other options except 3rd is wrong !!