Answer:
In parallelogram ABCD
FD is perpendicular to BC
BE is perpendicular to CD
Consider triangle BEC and triangle DFC
FC = EC (Given)
Angle BEC = Angle DFC (=90°)
Angle BCE = Angle DCF (common)
Therefore triangle BEC is congruent to triangle DFC (AAS congruency)
DF = BE (CPCT)
Since the altitudes are equal their bases will also be equal
Therefore BC = DC
Therefore BC = DC = AD = AB
Therefore ABCD is a rhombus
Hope this helps!
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Answer:
1. Rate needed 9/6; Unit rate is 1.5/1; 1.5 cans of white paint are needed for each can of blue.
2. rate needed = 12/6; unit rate = 2/1; Need 2 cups of water for every scoop of fruit mix.
3. 70 minutes
Step-by-step explanation:
1. Set up a ratio
3white/2blue = xwhite/6blue
3/2 = x/6
cross multiply 2x = 18; x = 9
rate needed = 9/6
Unit rate is 1.5/1 (divide 3 by 2 or 9 by 6 to get unit rate_
2. 3/1.5 = x/6
1.5x = 18; x = 12
rate needed = 12/6
unit rate = 2/1
3. Set up a ratio.
3.5/.25 ( 1/4=.25)
3.5/.25 = x/5
.25x = 3.5(5)
.25x = 17.5
x = 70 minutes
There will be no solutions because the lines have the same slope (-4) meaning they are parallel to each other and will not cross.
Hope this helps!!
