To prove a similarity of a triangle, we use angles or sides.
In this case we use angles to prove
∠ACB = ∠AED (Corresponding ∠s)
∠AED = ∠FDE (Alternate ∠s)
∠ABC = ∠ADE (Corresponding ∠s)
∠ADE = ∠FED (Alternate ∠s)
∠BAC = ∠EFD (sum of ∠s in a triangle)
Now we know the similarity in the triangles.
But it is necessary to write the similar triangle according to how the question ask.
The question asks " ∆ABC is similar to ∆____. " So we find ∠ABC in the prove.
∠ABC corressponds to ∠FED as stated above.
∴ ∆ABC is similar to ∆FED
Similarly, if the question asks " ∆ACB is similar to ∆____. "
We answer as ∆ACB is similar to ∆FDE.
Answer is ∆ABC is similar to ∆FED.
Answer:
63
Step-by-step explanation:
9x7=(10x7)-1x(7)
=70-7
=63
Answer:
3/2.
Step-by-step explanation:
f(x)=2x+5 Finding the inverse:
y = 2x + 5
2x = y - 5
x = (y - 5)/2
So the inverse f-1(x) = (x - 5)/2
and f-1(8) = (8-5)/2
= 3/2.
Answer:
4 is a coefficient
Step-by-step explanation:
4x - 10
x is the variable and 4 is the coefficient since it is next to the variable
-10 is the constant
4x is a term
4x-10 is a sum