Answer:
Area of ΔDEF is
.
Step-by-step explanation:
Given;
ΔABC and ΔDEF is similar and ∠B ≅ ∠E.
Length of AB =
and
Length of DE = 
Area of ΔABC = 
Solution,
Since, ΔABC and ΔDEF is similar and ∠B ≅ ∠E.
Therefore,

Where triangle 1 and triangle 2 is ΔABC and ΔDEF respectively.
If two triangles are similar, then the ratio of the area of both triangles is proportional to the square of the ratio of their corresponding sides.

Thus the area of ΔDEF is
.
Answer:
25/30 and 12/30
Step-by-step explanation:
6 and 5 have a least common multiple of 30
6*5 = 30
5/6 * 5/5 = 25/30
2/5 *6/6 = 12/30
Answer:
D.) If soccer balls are sold for $2.05 or $14.61 each, the store will break even but will not make a profit.
Step-by-step explanation:
Let us assume x = selling price of each soccer ball
y = daily profit earned from selling of soccer balls
Given that
Y= 
where,
a = -6
b = 100
c = -180
Now we have to applied the formula which is as follows
x 





x^1 = -2.05285
Now
x^2 

x^2 = 14.6138
Based on this the option D is most appropriate as per the given situation
The answer is that the sister is 0.95 meters tall.
Answer:
C:2 gallons per minute
Step-by-step explanation: