Answer:
If two parallel lines 
and 
are cut by a transversal, then the alternate interior angles are congruent.
Below is the prove of this.
Step-by-step explanation:
As we know that Alternate interior angles are two angles that are on the interior of and , but on opposite sides of the transversal.
In other words, If two parallel lines and are cut by a transversal, then the alternate interior angles are congruent.
Lets prove this.
Given: p ║ q
Prove: ∠1 ≅ ∠2
Statement Reasons
1. p ║ q 1. Given
2. ∠1 ≅ ∠3 2. Corresponding Angles Postulate
3. ∠3 ≅ ∠2 3. Vertical Angles Congruence Theorem
4. ∠1 ≅ ∠2 4. Transitive Property of Congruence
The origin is where the y axis and x axis meet which is (0,0)
This equation simplified would be 2x^2.
Since we have terms that are not like (one has a variable and the other doesn't), we simply put them together when being multiplied.
x^2 * 2 = 2x^2
Step-by-step explanation:
The marked price of an article is 25% above the SP and the CP is 20% below the selling price. What is the rate of discount and the profit percentage?
Let C, M & S denote cost-price, marked-price & sell-price respectively of the article.
Hence from above data we get following relations,
M = (1 + 25/100)*S = 1.25*S ….. (1a)
C = (1 - 20/100)*S = 0.80*S ….. (1b)
From (1a) we get,
S = (100/125)*M = (4/5)*M
or S = (1 - 1/5)*M = (1 - 20/100)*M ….. (2a)
From (1b) we get,
S = (100/80)*C = (5/4)*M
or S = (1 + 1/4)*C = (1 + 25/100)*C ….. (2b)
Therefore
It is evident from (2a) that
the discount percentage = 20% [Ans]
It is evident from (2b) that
the profit percentage = 25% [Ans]
Answer:
Answer B
Step-by-step explanation:
Because (IQR) by 1.5 (a constant used to discern outliers). Add 1.5 x (IQR) to the third quartile. Any number greater than this is a suspected outlier. Subtract 1.5 x (IQR) from the first quartile.
