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: A add the equations and C: Subtract the bottom equation from the top equation.
Step-by-step explanation: By adding the equations, you are left with
12x=8 which successfully eliminates the y values and subracting the bottom equation from the top equation.
Hope this helps! :)
Answer:
2x^2+4x-16
Step-by-step explanation:
The quadratic can be written as
f(x) = a(x-z1)(x-z2) where z1 and z2 are the roots
f(x) = a (x-2)(x- -4)
a is the leading coefficient
f(x) = 2(x-2)(x+4)
= 2(x^2 -2x+4x-8)
= 2(x^2 +2x-8)
= 2x^2 +4x-16
Answer:
b (1/15)
Step-by-step explanation:
Answer:
75%
Step-by-step explanation:
If Mitchell took a math exam and got 63 out of 84 questions correct, that would turn into the fraction: 63/84
In order to convert this to a decimal, you divide 84 by 63 (since every fraction is a division problem), and get 0.75.
When you change decimals into percents, you move the decimal point two times to the right. So, that would be 75.
Then you add the percent symbol and you're done!
I hope that helped :)