Since AB = CD the trapezoid is isosceles, which means that ∡A = ∡D
Therefore also ∡2 = ∡3 (they are half of the congruent angles)
For the properties of parallel lines (BD and AD) crossed by a transversal (BD) we have ∡3 = ∡CBD.
Now consider triangles AOD and BCD:
∡OAD (2) = ∡ADO (3) = ∡CBD (3) = ∡CDB (4)
T<span>he sum of the angles of a triangle must be 180°, t</span>herefore:
∡AOD = 180 - ∡2 - ∡3
∡BCD = 180 - ∡3 - ∡4
∡AOD = ∡BCD because their measure is the difference of congruent angles.
Answer:
x = 5 - a
Step-by-step explanation:
Given
6x + a = 5(x + 1) ← distribute
6x + a = 5x + 5 ( subtract 5x from both sides )
x + a = 5 ( subtract a from both sides )
x = 5 - a
Answer:
The correct answer is 
= 0.33.
Step-by-step explanation:
A uniform random variable is used to describe the outcome of an experiment with the parameters being 50 and 80.
Probability density function = f(x) = 
Here a = 50 and b = 80.
We need to find the value of probability of this given experiment in an outcome less than 60.
∴ P(X<60) = 
= 0.33.
Thus the required probability is given by 0.33.
