Can someone help me pls??
1 answer:
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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:
Hey there!
Linear functions have a continuous change.
Let's check these tables and see if we can tell linear functions from non-linear functions.
The first one is
- x values: -1, 0, 1, 2
- we add 1 each time
- y values: 8, 5, 2, -1
- we subtract 3 each time
Let's try the next one:
- x values: -1, 0, 1, 2
- we add 1 each time
- y values: 5, 10, 15, 20
- we add 5 each time
Let's try the third one:
- x values: -1, 0, 1, 2
- - we add 1 each time
- y values: 15, 18, 20, 21
- we add 3, then 2, then 1..
So this table doesn't represent a linear function.
Let's check the fourth one:
- x values: -1, 0, 1, 2
- we add 1 each time
- y values: 1, 2, 3, 4
- we add 1 each time
Thus, Option C is the right option.
Hope everything is clear.
Let me know if you have any questions!
Always remember: Knowledge is power!