Transversal line :
A transversal line is one that crosses two or more lines at different points.
Transversal Properties :
- Each pair of corresponding angles when a transversal cuts two parallel lines are equal in size.
- Each pair of alternate interior angles created by a transversal when two parallel lines are cut are equal.
- If two parallel lines are cut by a transversal, then each pair of interior angles on the same side of the transversal are supplementary, i.e. they add up to 180 degrees
Each pair of corresponding angles when a transversal intersects two parallel lines is equal. Thus,
∠1 = ∠6
∠4 = ∠8
∠2 = ∠5
∠3 = ∠7
Each alternate interior angle pair is equal if a transversal intersects two parallel lines.
∠4 = ∠5
∠3 = ∠6
Hence, proved..
Learn more about transversal here:
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Answer:
x = ±2
Step-by-step explanation:
9x^2-36=0
Using the square root property
9x^2 = 36
Divide each side by 9
x^2 = 4
Take the square root of each side
sqrt(x^2) = sqrt(4)
x = ±2
Answer:
4800
Step-by-step explanation:
x is the number of total students
x * 9/20 = number of female students
x * 9/20 = 2160
Multiply each side by 20/9
x * 9/20 * 20/9 = 2160 * 20/9
x =4800
By letting
we get derivatives
a) Substitute these into the differential equation. After a lot of simplification, the equation reduces to
Examine the lowest degree term 
, which gives rise to the indicial equation,
with roots at r = 0 and r = 4/5.
b) The recurrence for the coefficients 
is
so that with r = 4/5, the coefficients are governed by
c) Starting with 
, we find
so that the first three terms of the solution are
Answer:
C
Step-by-step explanation:
The Central Limit Theorem (CLT) implies that the distribution of the mean is approximately normal for large n. I.e. the distribution of the population means will be approximately normally distributed, and provided there is a large sample of the population.
