Answer:
<u>2 years old</u>
Step-by-step explanation:
Let Ellie's age ⇒⇒⇒ x
And Genya's age ⇒⇒⇒ y
∵ The sum of Ellie's age and Genya's age is 60
∴ x + y = 60 ⇒ (1)
∵ In six years, Genya will be eight times as old as Ellie
∴ (y + 6) = 8 (x+6)
∴ y + 6 = 8x + 48 subtract 6 from both sides
∴ y = 8x + 42 ⇒ (2)
By substituting from 2 at 1 with the value of y
∴ x + (8x + 42) = 60
∴ 9x = 60 - 42 = 18
∴ x = 18/9 = 2
∴ y = 60 - x = 58
So, Ellie's age now = 2 years old
And Genya's age = 58 years old
A. 1 = 3/3 = 4/4 = 52/52 = x/x
B. 5 = 10/2 = 15/3 = 7.5/1.5 = 120/24 = 5a/a
All the ratios must equal each other
Yes, both have the 110 degrees angle, and according to some theorem, the interior angles formed by the intersection of the 2 lines, they are also congruent angles (the y angles). All that remains is the x angle, which is congruent to the other angle.
<span>We know that for two vectors u and v we have that the cross product is equal to :
(u2v3 - u3v2) i + (u3v1 - u1v3) j + (u1v2 - u2v1) k
Then we have that m x n : ( (2 *-4) - (-5 * -2) ) i + ( (-5*6) - (3 *-4) )j + ( ( 3*-2) - (2*6))k
which becomes ( -8 - 10) i + ( -30 + 12) j + ( -6 - 12) k
Thus the vector product of m and n is -18 i - 18j -18k</span>
