Answer:
3
Step-by-step explanation:
Wire is 4 1/2 feet, or 4.5 feet.
Each smaller wire needs to be 1 1/4 feet, or 1.25 feet.
<em>How many whole 1.25 feet wire can we have from total of 4.5 feet wire?</em>
<em />
Let's divide:
\
<em>thus we can have 3 whole "1.25 feet long" wire and fractional amount.</em>
<em />
<em>Hence, maximum number of smaller pieces is 3</em>
1) The triangles are similar, so correponding sides have the same ratio.
.. 3x/20 = (4x +2)/28
.. 3x/5 = (4x +2)/7 . . . . . . . multiply by 4
.. 7*3x = 5(4x +2) . . . . . . . multiply by 35 = 5*7
.. 21x = 20x +10 . . . . . . . . eliminate parentheses
.. x = 10 . . . . . . . . . . . . . . . subtract 20x
2) The triangles are similar, so corresponding measures have the same ratio.
.. x/42 = 10/15
.. x = 42*(10/15) = 28
3) The third angle of triangle ABC is 180° -20° -80° = 80°. Then two of the angles of ABC match those of JKL. The 3rd answer selection is appropriate.
25.65 ÷ 15 = 1.71
So, the answer to this problem is 1.17
