<h3>Answer:</h3>
- ABDC = 6 in²
- AABD = 8 in²
- AABC = 14 in²
<h3>Explanation:</h3>
A diagram can be helpful.
When triangles have the same altitude, their areas are proportional to their base lengths.
The altitude from D to line BC is the same for triangles BDC and EDC. The base lengths of these triangles have the ratio ...
... BC : EC = (1+5) : 5 = 6 : 5
so ABDC will be 6/5 times AEDC.
... ABDC = (6/5)×(5 in²)
... ABDC = 6 in²
_____
The altitude from B to line AC is the same for triangles BDC and BDA, so their areas are proportional to their base lengths. That is ...
... AABD : ABDC = AD : DC = 4 : 3
so AABD will be 4/3 times ABDC.
... AABD = (4/3)×(6 in²)
... AABD = 8 in²
_____
Of course, AABC is the sum of the areas of the triangles that make it up:
... AABC = AABD + ABDC = 8 in² + 6 in²
... AABC = 14 in²
We want to convert this equation in terms of m, where 
While solving this problem, I instantly noticed the 
in the first term of the equation. Replace that with m.
Simplifying the rest is not as obvious. Using the distributive property, we can change ![[7x^2+21]](https://tex.z-dn.net/?f=%5B7x%5E2%2B21%5D)
to ![[7(x^2+3)]](https://tex.z-dn.net/?f=%5B7%28x%5E2%2B3%29%5D)
Do you see the "m" in here? Look again if you don't.
Now we can simplify the equation to 
and this cannot be simplified further.
I'm always happy to help someone who appreciates the help! :D
Answer: 200 bulbs will not be defective.
Step-by-step explanation:
The ratio of defective bulbs to good bulbs produced each day is 2 to 10. This ratio can also be expressed as 1 to 5 by reducing to lowest terms.
The total ratio is the sum of the proportions.
Total ratio = 1 + 5 = 6
This means that if n bulbs is produced, the number of defective bulbs would be
1/6 × n
The number of non defective would be
5/6 × n
Since n = 240, then the number of bulbs that will not be defective is
5/6 × 240 = 200 bulbs
uhm like, what did you see in the internet is the opposite in the reality
