C) The 2 triangles are similar , then we can write:
5x/45 = 20/36 . Cross multiplication:
5x*36 = 45*20
180x = 900 and x = 900/180 , x = 5 (and 5x = 25)
d) Remember the proportionality theorem (or Thales')
You can write the following proportion:
GH/HJ = KL/LM
8/6 = 10/x . Cross multiplication:
8x = 60 and x = 60/8 , x = 7.5
Answer:
The selling price be $79.56 .
Step-by-step explanation:
Let us assume that the cost price be x.
As given
If the markup is $8.95 and the overhead is $4.31 .
Selling price = Cost price + Markup price + Overhead price
= x + 8.95 + 4.31
= x + 13.26
Profit = Selling price - Cost price
= x + 13.26 - x
= $ 13.26
Formula

Putting the values in the above formula



x = $ 66.3
Thus cost price be $66.3 .
Thus
Selling price = $66.3 + $13.26
= $ 79.56
Therefore the selling price be $79.56 .
Answer:
e. R′
Step-by-step explanation:
Let the Sample Space be a universal set consisting of 3 red and 6 blue cards. Then the event of of getting 4 blue cards will be given
R complement = R` = Universal Set minus Red cards will give blue cards.
a. R OR O
It cannot be this option because we need 4 blue card
b. B AND O
It cannot be this choice as well because 4 is not odd.
c. R OR E
4 is even but we need blue
d. R AND O
Red and odd is again not required
e. R′ = It will give our required result.
f. E′= 4 is even if it is complemented it cannot be obtained and will be left out.