Answer:
D is 117
Step-by-step explanation:
Let the measure of angle C be x
The measure of D is 9 less than twice C
Mathematically that is 2x-9
If both are supplementary, they add up to be 180
Thus;
x + 2x - 9 = 180
3x = 180 + 9
x = 189/3
x = 63
Recall;
D = 2x-9= 2(63) -9 = 126 -9 = 117
First, we have to get the fractions to common denominators.
4/5 = 16/20
1/4 = 5/20
5 5/20 - 3 16/20 = 1 9/20
She put 1 9/20 extra cups in.
D is the midpoint of A and B
A = (0,s)
B = (r,0)
Add up the x coordinates to get 0+r = r. Then cut that in half to get r/2
Similarly, do the same for the y coordinates: s+0 = s ---> s/2
So the location of point D is (r/2, s/2)
Answer: Choice C
Answer: 11 party bags with 1 sticker leftover
Each bag contains 4 bubbles, 8 stickers, and 5 pencils.
<u>Step-by-step explanation:</u>
Find the GCF of 44 (bubbles), 89 (stickers), and 55 (pencils)
44: 2 x 2 x <u>11</u>
89: prime so choose 88 with 1 leftover
88: 2 x 2 x 2 x <u>11</u>
55: 5 x <u>11</u>
GCF = 11
Disregard the GCF to see how many of that item should go in each bag.
Bubbles: 2 x 2
Stickers: 2 x 2 x 2
Pencils: 5
