Answer:
Short answer: D) 15
Step-by-step explanation:
Parallel lines in this kind of triangle are always in a strict ratio of small to large or large to small based on how you look at it.
So we have 4cm to 6cm, which is 2:3 ratio. We know the smaller side, but want the larger side, so we can set up 2/3 = 10/?
the ? is 15.
LM = LN
3x - 2 = 2x + 1
x = 3
LM = LN = 7
MN = 5x - 2 = 13
Answer:
The ride lasts 10 minutes.
Step-by-step explanation:
The triangle that is formed is attached.
In order to find out how long the ride lasts, we need to figure out the horizontal distance 
From trigonometry we have:

Therefore

Now the amount of time
the gondola ride lasts is equal to the distance
divided by the speed of the gondola:

To the nearest minute this is 10 minutes.
Answer:
$16
Step-by-step explanation:
This method is probbaly working backwards. I'm not sure.
12 - 4 = 8 (How much she was left with if she didn't wash the car for 4 dollars)
8 x 2 = 16 (They mentioned she spent half of her weekly allowance)