Which fraction is equivalent to -2/3? PLEASE HELP
2 answers:
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Answer:
8 and 12
Step-by-step explanation:
Sides on one side of the angle bisector are proportional to those on the other side. In the attached figure, that means
AC/AB = CD/BD = 2/3
The perimeter is the sum of the side lengths, so is ...
25 = AB + BC + AC
25 = AB + 5 + (2/3)AB . . . . . . substituting AC = 2/3·AB. BC = 2+3 = 5.
20 = 5/3·AB
12 = AB
AC = 2/3·12 = 8
_____
<em>Alternate solution</em>
The sum of ratio units is 2+3 = 5, so each one must stand for 25/5 = 5 units of length.
That is, the total of lengths on one side of the angle bisector (AC+CD) is 2·5 = 10 units, and the total of lengths on the other side (AB+BD) is 3·5 = 15 units. Since 2 of the 10 units are in the segment being divided (CD), the other 8 must be in that side of the triangle (AC).
Likewise, 3 of the 15 units are in the segment being divided (BD), so the other 12 units are in that side of the triangle (AB).
The remaining sides of the triangle are AB=12 and AC=8.
Answer:
The number of stores in California 42
The number of stores in Nevada 18
Step-by-step explanation:
Given as :
The total sandwich shop in California and Nevada = 60
The percentage of shop in California = 70%
So, The percentage of shop in Nevada = 100% - 70% = 30%
Let The number of stores in California = c
And The number of stores in Nevada = n
Now, According to question
The number of stores in California = 70% of the total number of shops
I.e c = × total number of shops
Or, c = × 60
∴ c =
or, c =
or, c = 42
So, The number of stores in California = c =42
Again
The number of stores in Nevada = 30% of the total number of shops
I.e n = × total number of shops
Or, n = × 60
∴ n =
or, n =
or, n = 18
So, The number of stores in Nevada = n = 18
Hence The number of stores in California 42
And The number of stores in Nevada 18 Answer