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: 
By my, calculations this means that there is an estimated number of restaurants that receive a Hawaiian pizza order from their menu and that is 7.5. So out of 100 restaurants, there are 7.5 Hawaiian pizza orders.
Answer:
The 38th term of 459,450,441,.. will be:

Step-by-step explanation:
Given the sequence

An arithmetic sequence has a constant difference 'd' and is defined by

computing the differences of all the adjacent terms

so

The first element of the sequence is

so the nth term will be


Putting n=38 to find the 38th term




Therefore, the 38th term of 459,450,441,.. will be:

Answer:
wwdwaDwadfafwfwefwfwefwefwefwefwefwweqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq
Step-by-step explanation:
Answer:
-24
Step-by-step explanation:
-4-8= -12
8-2=6
12+6=18
-12b+6c+18
Greatest common factor = 6
-12/6=-2
6/6=1
18/6=3
D 6(-2b+1c+3)
-12(2)+6(-3)+18
-24+(-18)+18
-42+18= -24
-24