Answer:
B
Step-by-step explanation:
Remark
If we draw a line from F to T, we can make a couple of statements.
Call the center of the circle O
1. <FTE = 1/2 the central angle of <FOE. The size of <FOE is the same size as the minor arc. Since The minor arc = 60 degrees, then FTE = 30 degrees.
2. <GTF = 1/2 78 by the same reasoning used above. GTF = 39 because that is 1/2 of 78.
So the answer to the size of <T = 39 + 30 = 69 which is B
There is a much simpler way of doing this.
The central angle of the two arcs is 78 + 60 = 138
The <GTE is 1/2 the central angle
<GTE = 1/2 * 138 = 69
Let

be the chocolate chip cookies, so the peanut butter treats will be

.
We know that the cookies and the treats are in a ratio of 5:3, so:

Now we can solve for

:






We now know Lydia has 90 chocolate chip cookies, and

peanut butter treats.
Then, Lydia's friend ate

of her cookies, so her friend ate

cookies. Therefore, Lydia has

cookies left.
Now we can calculate the total amount of baked goods after her friend ate the cookies:

Therefore, our remainder treats will be:

We also now that after her friend ate 54 cookies and some treats, the new ratio is 6:1, and that's all we need to set up our new equation and solve it to find how many treats she ate:






Finally, if she ate 81 out 90 treats, we can conclude the Lydia has left with 9 peanut butter treats.
Answer:
6(2a+4)-4(3a-4)= (12a+24) +(-12a+16) = 40
Answer:
Angle B=92
Arc DCB=228
Step-by-step explanation:
Arc DCB intercepts Angle A.
Arc DCB is twice of Angle A so that means Arc dCB=228
Angle C is supplementary so Angle B equal 92.
A rectangle would have two sides 12 meters long and two sides 9 meters wide.
The perimeter is the sum of the four sides.
12 + 12 + 9 + 9 = 42
The perimeter is 42 meters