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.
Answer:
6 2/3
Step-by-step explanation:
2 2/5 * 2 7/9
Change each number to an improper fraction
2 2/5 = (5*2+2)/5 = 12/5
2 7/9 = (9*2+7) = 25/9
12/5 * 25/9
Rewriting
25/5 * 12/9
5/1 * 4/3
20/3
Now changing to a mixed number
3 goes into 20 6 times with 2 left over
6 2/3
Is This Substitution?
Cause if it is, then Y = 3x - 4
Y = 4 + x
= (4, 8)
Y = 5/4x + 2
y - (-3) = 5/4 ( x - (-4))
1. Distribute 5/4
y + 3 = 5/4x + 5
2. Subtract three to collect like terms
y = 5/4x + 2
Your answer is d
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