For this problem, if we used b to represent your base angle measurement, you would add 8b+2b and set it equal to 180. This is because the measure of the vertex angle is 8 times the base angle measurement, so we had to multiply b by 8. We also had to add it to the other angle measures, so the other angle measures are represented as 2b since they are the same length. We then have to set this equal to 180 since that measures of a triangle must add up to 180. Then we combine like terms on our “b” side to get 10b=180. Then we divide both sides by 10 and we get b=18, which is the measure of our base angle.
Step-by-step explanation:
we have
5x+4=2x+9
5x-2x=9+4
3x=13
x=13/3
The <em><u>correct answers</u></em> are:
7 mugs on each shelf; and 7 shelves for blue and 8 shelves for red.
Explanation:
To find the number of mugs that will fit on each shelf, we find the GCF (greatest common factor) of 49 and 56. To do this, we find the prime factorization of each:
49 = 7(7)
56 = 7(8)
8 = 2(4)
4 = 2(2)
56 = 2(2)(2)(7)
The only common factor is 7, so this is the GCF. This means that she needs to put 7 mugs on each shelf.
Since there are 49 blue mugs, she needs 49/7 = 7 shelves for them.
Since there are 56 red mugs, she needs 56/7 = 8 shelves for them.
There were 269 skittles in the bag originally.
Step-by-step explanation:
Skittles ate by Evan = 13
No. of bowls = 4
No. of skittles in each bowl = 64
As the skittles are distributed evenly therefore,
Skittles in 4 bowls = 64*4
Skittles in 4 bowls = 256
Total skittles = Skittles in 4 bowls + skittles ate by Evan
Total skittles = 256 + 13
Total skittles = 269
There were 269 skittles in the bag originally.
Keywords: multiplication, addition
Learn more about addition at:
#LearnwithBrainly
(-6,6)(12,3)
slope(m) = (y2 - y1) / (x2 - x1) = (3 - 6) / (12 - (-6) = -3 / 18 = -1/6
y = mx + b
slope(m) = -1/6
use either of ur points (12,3)....x = 12 and y = 3
now sub and find b, the y int
3 = -1/6(12) + b
3 = -12/6 + b
3 = -2 + b
3 + 2 = b
5 = b
so ur slope(m) = -1/6 and ur y int (b) = 5
