Answer:
A piece of duct measures 48 inches.
In each connection, we lost 1 1/2 inches (i guess that it is what you wanted to write)
Then:
If we have 7 pieces of duct connected we have 5 connections (the ones in the extremes are not connected between them, so the number of connections is equal to the number of ducts minus two.)
So here we have 7 times 48 inches for the pieces, minus 5 times 1 1/2 in (i will write 1 1/2 = 1 + 0.5 = 1.5 in, so the math is easier) for the connections, the length is:
L = 7*48in - 5*1.5in = 328.5 inches.
for the 12 pieces duct, we have 12 pieces and 10 connections, so the length is:
L = 12*48in - 10*1.5in = 561 in
Now, if we want to make only one duct with those two, then we must add their lengths, but if we connect them, we also need to subtract the 1.5in of the new connection:
L = 561in + 328.5in - 1.5in = 888in
1/3 or 33% of 750 is 250. 250 x 3 = 750
Answer:
18 ft
Step-by-step explanation:
The answer would be line segment.
<h3>
Answers:</h3><h3>
Angle 1 = 45 degrees</h3><h3>
Angle 2 = 135 degrees</h3>
Explanations:
Angle 1 is 45 degrees because it pairs with the 45 degree angle shown. These two angles are congruent due to the alternate interior angle theorem. This only works when lines a and b are parallel.
Angle 2 is 135 degrees because it must add to angle 1 to result in 180 degrees. This is the same side interior angle theorem. Also, note that the original 45 degree angle is adjacent to angle 2, and these two angles form a straight line, so this is another way to see that 45+135 = 180.