P(Larger or blue) = 7/10. In a bag we have blue and red marbels, which are large and small as in the table shown in the image, the probability of taking a large or blue marble is 7/10.
The key to solve this problem is find the probability of the union events using the equation P(A∪B) = P(A) + P(B) - P(A∩B).
For this problem we have P(Large or Blue) = P(Large) + P(Blue) - P(Large and Blue). The total of the large ones is 25 and the small ones is 15, meaning that the sum of both is 40. P(large) = 25/40, P(Blue) 20/40, and P(Large and Blue) = 17/40
P(Large or Blue) = 25/40 + 20/40 - 17/40 = 28/40 dividing by 4 both terms of the fraction.
P(large or Blue) = 7/10
Part A: We know that the equation for finding the area of a triangle is

; we also know that

and

, so the only thing we need to do is replacing those values into our Area equation and solve for x:




Now the only thing left is factor the quadratic polynomial:

W can conclude that the area of our triangle is
Part B: Our polynomial has three terms, so is a trinomial; also, our polynoal only has one variable,

, and the largest exponent of that variable is 2; therefore is a degree 2 polynomial. In summary, we have a
trinomial of degree 2. Part C: Part A demonstrate the closure property of polynomials because after multiplying tow polynomials we obtained another polynomial.
Answer:
78°
Step-by-step explanation:
If the Vertex of the angle is ON the circle, then the arc is double the angle. See image.
Answer:
x=0
Step-by-step explanation:
13x-2 = 10x-2
Subtract 10x from each side
13x-10x-2 = 10x-2 -10x
3x-2 = -2
Add 2 for each side
3x-2+2 = -2+2
3x= 0
divide by 3
3x/3 = 0/3
x =0