P(red) = 1/5 [that says "probability of getting red is one fifth"
P(green) = 1/5
P(blue) = 1/5
P(yellow) = 1/5
P(purple) = 1/5
The reason the fractions are all the same is that there are equal numbers of each color. For example, if there were 7 marbles of each color, there would be a total of 35 marbles.
P(red) = 7/35 = 1/5
Similar for the other colors.
Answer:
Roughly 70.29 degrees
Step-by-step explanation:
Equation:
(2x+27)+(2x-11)+3x = 180
7x + 16 = 180
7x = 164
x ~ 23.43
Angle C:
3x
3(23.43)
70.29
Answer:
Are you telling us to answer it all?
Step-by-step explanation:
Answer:
The first four.
Step-by-step explanation:
There are 3 main postulates. SSS, SAS, and AAS. This simply refers to how we prove a triangle congruent. With SSS, all 3 sides must be congruent (either proven or given). AAS is when you have 2 angles congruent with a side next to one of the angles. NOT IN BETWEEN (there's an image as to what I'm talking about below). Finally, SAS. This is when you have a set of angles congruent with sides on each side congruent as well (look at the first four as an example of this.
Any more specific questions, feel free to ask!

is in quadrant I, so

, which means

, so

belongs to the same quadrant.
Now,

Since

, it follows that

Since

belongs to the first quadrant, you take the positive root (

for

in quadrant I). Then


is also positive for

in quadrant I, so you take the positive root again. You're left with