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
<span>z=−13</span> would be your answer
Just try different ways to find a common denominator, add from there and then simplify.
A dilation occurs when the scale is greater than 1 from the center of the dilation. When the scale is less than 1 from the center it is a contraction. Since distance from center can be positive or negative, the contraction will occur with a scale factor of
B. -0.8 and
D. 0.8
Isocoleese means that 2 sides and hence 2 angles are same measure
acute means that all 3 angles are less than 90 degrees
We can rule out choice I since acut means less than 90
II is a possibility, but it doesn't best describe it
III. that is true, but it doesn't include the isocileese part
IV. that is true, but doesn't include the acute part
not sure, either III or IV