Answer:
20
Step-by-step explanation:
If the two triangles are similar, then corresponding sides must share a constant ratio. This means that:

Let's use the second ratio:

Multiply both sides by 12:

Hope this helps!
Answer:
103/3 or 34.33333333
Step-by-step explanation:
just divede 412 by 12 and there your answer
For these equations, we are going to use the slope formula, as defined below (
is slope and
and
are coordinate points):

We can simply "plug in" the coordinates we are given:


Our answers are:


Answer:
The expression that shows how long the two machines will operate simultaneously is:

Step-by-step explanation:
We know that:
x: hours to manufacture a deck of cards for machine A
y: hours to manufacture a deck of cards for machine B
z: hours that machine A operates alone
The number of decks manufactured only by machine A is:

So, the remaining decks are given by:

Then, the combined rate of machines A and B would be:

The work-rate formula is:

Hence, the time that the two machines work simultaneously is:


Answer:
60% less
Step-by-step explanation:
its simple really.