Angle C and the 112 degree angle are supplementary, so angle C measures 180-112=68 degrees.
This means that by the exterior angle theorem, 
Answer:
Third choice, 3/4
Step-by-step explanation:
Add all the cubes together, 12 + 5 + 3 = 20
There's a 12/20, which is 3/5, chance you'll get a green cube
5/20, which is 1/4, chance you'll get a blue cube
And there's a 3/20 chance you'll get a yellow cube
The probability of not getting a blue cube is 12/20 + 3/20 = 15/20 = 3/4
(-1,-4) is where the equations Y=4x and x+y=-5 intersect.
Answer:
A: 2
B: -1/3
Step-by-step explanation:
A: We are looking for the common ratio between the terms of the sequence, which is essentially what you are multiplying by to get from one term to the next. To find this, we just have to divide the second term by the first term.
-4 / -2 = 2, therefore our common ratio is 2.
We can check this by continuing to multiply the next terms by 2 - -4 x 2 = -8, -8 x 2 = -16, so the pattern works.
B: For B, we will do exactly the same method as before: 3/-9 = -1/3, so our multiplier is -1/3.
To check: 3 x -1/3 = -1, and -1 x -1/3 = 1/3, which both follow our rule.
Hope this helps! Let me know if you have any questions.
Hi there!
First, we need to find the area of the rectangles.
10 × 5 = 50
9 × 3 = 27
Now, we find the percent of increase.
27 ÷ 50 = 0.54
Convert into a percentage:
0.54 = 54%
And subtract from 100%.
100% - 54% = 46%
The answer is 46%.
Hope this helps!
