Answer:
AE = 15 cm; ED = 18 cm; AD = 15 cm (given)
Step-by-step explanation:
ΔBEC ~ ΔAED so ...
AD/BC = AE/BE = (BE+AB)/BE = 1 + AB/BE
Substituting given numbers (lengths in centimeters), we have ...
15/10 = 1 + 5/BE
1/2 = 5/BE
BE = 10
Similarly, ...
1/2 = 6/CE
CE = 12
Then the unknown sides are ...
AE = AB + BE = 5 + 10 = 15 . . . cm
ED = CE + CD = 12 + 6 = 18 . . . cm
Answer:
The system of linear equations is x + y = 64 and x = y + 14.
Given that,
The total number of students is 64 .
Here we assume the x be the number of students in filmmaking club .
And, y be the number of students in yearbook club.
Based on the above information, the calculation is as follows:
x + y = 64
And,
x = y + 14
Therefore,
We can say that
Number of students in yearbook club = 25
And, the number of students in filmmaking club = 39
360 g plain flour
3 eggs
900 ml milk
Answer:
- Sales price= $
List price=L Discount
Step-by-step explanation:
The percentage discount is 
The discount is always given on the list price.
Let the list price be L, then
List price=L
Sales price= $
Discount
We substitute into the equation to get:
Divide both sides by 0.805
The list price of the swimming pool is $1450
Answer:
see explanation
Step-by-step explanation:
To determine which ordered pairs are solutions to the equation
Substitute the x and y values into the left side of the equation and if equal to the right side then they are a solution.
(- 1, - 6)
3(- 1) - 4(- 6) = - 3 + 24 = 21 = right side ← thus a solution
(- 3, 3)
3(- 3) - 4(3) = - 9 - 12 = - 21 ≠ 21 ← not a solution
(11, 3)
3(11) - 4(3) = 33 - 12 = 21 = right side ← thus a solution
(7, 0)
3(7) - 4(0) = 21 - 0 = 21 = right side ← thus a solution
The ordered pairs (- 1, - 6), (11, 3), (7, 0) are solutions to the equation
