1. Which statement is false?
1 answer:
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The inequality for the maximum number of bottles of juice she can buy
6.13+ 2.08b <20.00
Option B
Given
Melissa has $20 to buy bagels and juice for her class
Box of bagels : 6.13 including tax
Bottle of juice: 2.08 including tax
She will buy only one box of bagels that is for 6.13
Let 'b' be the number of bottles of juice she can buy
Total cost should be less than 20 dollars
6.13(one bagels) +2.08(bottles of juices)<20
So the inequality becomes
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Answer:
which agrees with option"B" of the possible answers listed
Step-by-step explanation:
Notice that in order to solve this problem (find angle JLF) , we need to find the value of the angle defined by JLG and subtract it from , since they are supplementary angles. So we focus on such, and start by drawing the radii that connects the center of the circle (point "O") to points G and H, in order to observe the central angles that are given to us as
and
. (see attached image)
We put our efforts into solving the right angle triangle denoted with green borders.
Notice as well, that the triangle JOH that is formed with the two radii and the segment that joins point J to point G, is an isosceles triangle, and therefore the two angles opposite to these equal radius sides, must be equal. We see that angle JOH can be calculated by :
Therefore, the two equal acute angles in the triangle JOH should add to:
resulting then in each small acute angle of measure
.
Now referring to the green sided right angle triangle we can find find angle JLG, using:
Finally, the requested measure of angle JLF is obtained via:
