Answer:
The probability that either Alex or Bryan get an A is 0.9
Step-by-step explanation:
Before we proceed to answer, we shall be making some important notation;
Let A = event of Alex getting an A
Let B = event of Bryan getting an A
From the question, P(A) = 0.9, P(B) = 0.8 and P(A ∩
) = 0.1
We are to calculate the probability that either Alex or Bryan get an A which can be represented as P(A ∪ B)
We can use the addition theorem here;
P(A ∪ B) = P(A) + P(B) - P(A ∩ B) .......................(i)
Also,
P(A) = P(A ∩
) + P(A ∩ B) .........................(ii)
We can insert ii into i and we have;
P(A ∪ B) = P(A ∩
) + P(A ∩ B) + P(B) - P(A ∩ B) = P(A ∩
) + P(B) = 0.1 + 0.8 = 0.9
For First Question:
As, we find the value of x for parallel condition of line a and b
so, m∠3 = m∠1 and m∠2 = 180°-m∠1 = 180°-(2x+15)° [ As straight line contain total 180°]
Now,
m∠2 = <span>m∠6 [ Because they are corresponding angles]
180</span>-(2x+15)=(3x+10)
180=3x+10+2x+15
x= 31 satisfies the condition of a||b
For second Question:
As, it is issoceles triangle So side AC = side BC So, m∠A=<span>m∠B
</span>4x+5=5x-1
x=6
So,
m∠A=29° and triangle contain total 180°
<span>m∠C=180-29-29
</span> =122°
Option D is correct
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Answer:
11.5+5.5+13
Step-by-step explanation:
Answer:
9800 cm^2
Step-by-step explanation:
The area of a square is just the length of one of the sides squared. In the first image it's given that one of the sides is 70 cm and the shape is also a square pyramid so the base is going to be a square. So the area the base is (70 cm) ^ 2 = 4,900 cm^2. The area of a triangle is 1/2 bh. The base is given in the first image which is 70 cm and the height is also given which is 140 cm. This gives you the equation 0.5 * 140 cm * 70 cm = 4900 cm^2. Adding these two values gives you 9800 cm^2