Answer:
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Step-by-step explanation:
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Answer:
BC = 16 +12√3
Step-by-step explanation:
In the attached, we see that ∆ABE is a 30°-60°-90° triangle with AB the short side and BE the hypotenuse. Then BE = 2·AB = 12√3.
EC is the side opposite AD in parallelogram ADCE, so is the same length, 16.
The length BC is ...
BC = EC +BE
BC = 16 +12√3
This isn't an inequality, sorry
Step-by-step explanation:
1. Choose arbitrary points A and B in the plane and draw segment AB.
2. Raise a perpendicular m to AB at A.
3. Raise a perpendicular n to AB at B.
4. Choose an arbitrary point C on line n.
5. Drop a perpendicular from point C to line m. Let D be the foot of this perpendicular.
6. Then quadrilateral ABCD is a rectangle.
There are 72 tokens with Riley and 63 tokens with Erik
<em><u>Solution:</u></em>
Riley and Erik have earned a total of 135 tokens to buy items in the school store
Total number of tokens = 135
The ratio of the number of tokens that Riley had to the number of tokens that Erik has is 8 to 7
Number of tokens with Riley : Number of tokens with Erik = 8 : 7
Let the number of tokens with Riley be 8x
Let the number of tokens with Erik be 7x
Since, Total number of tokens = 135
number of tokens with Riley + number of tokens with Erik = 135
8x + 7x = 135
15x = 135
x = 9
Therefore,
Number of tokens with Riley = 8x = 8(9) = 72
Number of tokens with Erik = 7x = 7(9) = 63
Thus there are 72 tokens with Riley and 63 tokens with Erik