Answer:
Step-by-step explanation:
From the given picture,
∠ABE = ∠DEF = 90° [Since, AB and DE are perpendicular to DE]
m∠ECA = m∠BFD [Given]
m∠ECA + m∠ACB = 180° [Liner pair of angles]
m∠BFD + m∠DFE = 180° [Liner pair of angles]
m∠ACB + m∠ECA = m∠BFD + m∠DFE [Transitive property]
m∠ACB = m∠DEF [Since, m∠ECA = m∠BFD]
Therefore, ΔABC ≅ ΔDEF [By AA property of similarity]
Answer:
n=7
Step-by-step explanation:
(7^2)^4= n^8
We know that a^b^c = a^(b*c)
7^(2*4) = n^8
7^8 = n^8
Since the exponents are the same, the bases must be the same
n=7
Answer:

Step-by-step explanation:
So we have the equation:

First, subtract 9 from both sides:

Divide both sides by -4:

Definition of Absolute Value:

Subtract 3 from both sides:

Divide both sides by 5:

And we're done!
Answer:
-14
Step-by-step explanation:
f(x) = 3x-5
g(x) = -x^2 +1
g(2) = - (2^2) +1
g(2) =-4+1 = -3
Then stick the -3 in f(x)
f(-3) = 3(-3)-5 = -9 -5 = -14
f(g(2) = -14
In your question that ask to find the distance that the cow must stand fro the billboard in order to maximize the value of theta and based on my calculation and further formulation, I came up with an answer of the tan to the power of negative one of 11 over X.