➻ In a group of 40 people, 27 can speak English and 25 can speak Spanish.
➻ The required number of people who can speak both English and Spanish .
<u>Consider</u> ,
➻ A → Set of people who speak English.
➻ B → Set of people who speak Spanish
➻ A∩B → Set of people who can speak both English and Spanish
➻ n(A∪B) = n(A) + n (B) - n(A∩B)
➻ 40 = 27 + 25 - n (A∩B)
➻ 40 = 52 - n (A∩B)
➻ n (A∩B) = 52 - 40
➻ ∴ n (A∩B) = 12
∴ Required Number of persons who can speak both English and Spanish are <u>12 .</u>
━━━━━━━━━━━━━━━━━━━━━━
➻ n(A∪B) = n(A) + n (B) - n(A∩B)
➻ 40 = 27 + 25 - 12
➻ 40 = 52 - 12
➻ 40 = 40
➻ ∴ L.H.S = R.H.S
━━━━━━━━━━━━━━━━━━━━━━
Answer:
Option (2)
Step-by-step explanation:
Let the equation of the line is,
y - y' = m(x - x')
where (x', y') is a point lying on the given line.
And m = slope of the line = 
Line given in the graph passes through two points (-5, -1) and (-2, -3).
Slope of the line 'm' = 
= 
Therefore, equation of the line passing through(-5, -1) and slope of the line = will be,
y - (-1) = ![-\frac{2}{3}[x-(-5)]](https://tex.z-dn.net/?f=-%5Cfrac%7B2%7D%7B3%7D%5Bx-%28-5%29%5D)
Option (2) will be the answer.
Answer:
option d
Step-by-step explanation:
The cross section of the rectangular prism is parallel to the base.
So, the length and width is congruent to the base. So, same length and width
When I did this equation I didn’t get any of these following answer choices, I apologize… Maybe the question was worded incorrectly? Please do let me know more info in the comments underneath this answer for I truly wish to help you out here :)
(P.S my work is shown below)
