Answer: 2 nickels
Rachel has 20 coins composed of nickles, dimes and quarters
amounting to $3.70. Her quarters are twice the number of her dimes, the number
of nickels can be computed as follows:
If X= the number of
dimes at .10 each
Then 2x= the number
of quarters at .25 each and
20-(X-2X)= the number of nickels at .05 each
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The equation will be:
X(.1)+2(X).25+(20-X-2X).10=3.70
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.1X+2X(.25)+(20-X-2X).05=3.70
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.1X+.5X+(20-3X).05=3.70
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.6X+(1-.15X)=3.70
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.6X+1-.15X=3.70
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.45X=3.70-1
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.45X=2.70
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X=2.70/.45
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X=6 number of dimes
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2X=12 number of quarters
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20-6-12=2 number of nickels
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You are comparing side AB, angle ABD, and side BD in one triangle to side CB, angle CBD, and side BD in the other triangle. That is, you are comparing a Side, Angle, and Side in each triangle. The SAS postulate is the reason the triangles are congruent.
Answer:
m = 1/9
Step-by-step explanation:
Given:
x = 10
y = 8
x1 = 1
y1 = 9
Solution:
y - y1 = m ( x - x1 )
9 - 8 = m ( 10 - 1 )
1 = 9m
m = 1/9
