<h3>Solution:</h3>
Find the area if length is 4x, width is 9 and x is 1/3
1 answer:
You might be interested in
Start with the answer format we want, and work your way toward forming a single fraction like so
Compare that last expression to (2x+1)/(x+2). Notice how the ax and 2x match up, so a = 2 must be the case.
Then we have 2a+b as the remaining portion in the numerator. Plugging in a = 2 leads to 2a+b = 2*2+b = 4+b. Set this equal to the +1 found in (2x+1)/(x+2) to have the terms match.
So, 4+b = 1 leads to b = -3
Therefore, a = 2 and b = -3
------------------------------------------------
An alternative route:
I added and subtracted 4 in the third step so that I could form 2x+4, which then factors to 2(x+2). That way I could cancel out a pair of (x+2) terms toward the very end.
------------------------------------------------
Other alternative methods involve synthetic division or polynomial long division. They are slightly separate but related concepts.
Answer:
x = 34
Step-by-step explanation:
ΔABD and ΔBCD are both isosceles triangles
In ΔABD
AB =AD, hence ∠ABD = ∠ADB ( base angles are equal )
∠ABD = =
= 68°
∠DBC = 180° - 68° = 112° ( straight angle )
∠BCD = x = =
= 34