Step-by-step explanation:
Given data:
ABCD is a quadrilateral.
AD = BC – – – – (1)
∠DAB = ∠CBA – – – – (2)
<u>To prove that BD = AC:</u>
In ΔABD and ΔBAC,
AD = BC (given side)
∠DAB = ∠CBA (given angle)
AB = BA (reflexive side)
Therefore ΔABD ≅ ΔBAC by SAS congruence rule.
By corresponding parts of congruence triangles,
BD = AC
Hence proved.
Write down y=f(x) and then solve the equation for x, giving something of the form x=g(y).
Find the domain of g(y), and this will be the range of f(x). ...
If you can't seem to solve for x, then try graphing the function to find the range.
A.) (fg)(x) = (2x^2 - 1)(<span>-5x) = -10x^3 + 5x
</span>b.) (g of f)(x) = g(f(x)) = -5(<span>2x^2 - 1) = -10x^2 + 5</span>
The surface area of the smaller prism is 9/25 the area of the larger one. So the linear dimensions are in the ratio of 3:5 .