Answer:
B
Step-by-step explanation:
Expressing the ratios as fractions, that is
= 
( cross- multiply )
a = 3b
= 
( cross- multiply )
c = 5b
------------------------------------------
Given
, substitute values from above for a and c
= 
= 
= 
← cancel b on numerator/ denominator
= 
→ B
4x² - 16 is the algebraic expression that must be added to get the result as 9x²- 2x - 5.
<u>Step-by-step explanation:</u>
The question is asked for the algebraic expression must be added to the sum of 3x²+4x+8 and 2x2−6x+3 to give 9x²- 2x - 5 as the result.
Therefore,
The first step is to find of sum of 3x²+4x+8 and 2x²-6x+3.
To find the sum :
3x²+4x+8
<u>2x²-6x+3 </u>
<u>5x²-2x+11</u>
The sum is 5x²-2x+11.
Now, the second step is to subtract 5x²-2x+11 from the result 9x²- 2x - 5.
9x²- 2x - 5
- <u>(5x²-2x+11)</u>
<u> 4x² -16 </u>
Thus, 4x²-16 is the algebraic expression that must be added with 5x²-2x+11 to get a result of 9x²- 2x - 5.
In order to compare the amount of wax, you have to calculate the volume of both candles.
Candle of booth A = πr² h/3
A = π * 4² * 6/3
A = π * 16 * 2
A = 32π
Now, Candle of Booth B = π * 5² * 5/3
B = π * 25 * 5/3
B = 41.6π
In short, Booth B sells the candle with more wax.
Hope this helps!
∠DOC is the average of the given angle values,
(170° +44°)/2 = 107°
∠DOB is the supplement to that,
180° -107° = 73°
The appropriate choice is
B) 73°
