Answer:
The correct option is;
DE = 2·(BC), AD = 2·(AB), and AE = 2·(AC)
Step-by-step explanation:
Given that we have;
1) The side AD of the angle m∠ADE corresponds to the side AB of the angle m∠ABC
2) The side DE of the angle m∠ADE corresponds to the side BC of the angle m∠ABC
3) The side AE of the angle m∠ADE corresponds to the side AC of the angle m∠ABC
Then when we have DE = 2·(BC), AD = 2·(AB), and AE = 2·(AC), we have by sin rule;
AE/(sin(m∠ADE)) = 2·(AC)/(sin(m∠ABC)) = AE/(sin(m∠ABC))
∴ (sin(m∠ADE)) = (sin(m∠ABC))
m∠ADE) = m∠ABC).
anything multiplied by one is itself, anything multiplied by zero is zero
Hello there! :)
Answer:
First choice, (x + 2) and (x - 6).
Step-by-step explanation:
To solve for the dimensions, recall that the formula for the volume of a rectangle is:
A = l × w
Simply factor x² -4 - 12. Find two numbers that add up to -4 and multiply into -12.
2, -6 satisfy these conditions. Use these numbers to write this equation in factored form:
(x + 2) (x - 6). Thus, the first option is the correct answer.
1. Simplify
9 - 3x^2 - 8x^2 + 4x + 5
2. Collect like terms
(9 + 5) + (-3x^2 - 8x^2) + 4x
3. Simplify
14 - 11x^2 + 4x
Hope this helps! :)
