Your picture has several issues.
- x is not defined. It appears to be the number of apartments rented.
- R(x) is defined two different ways. The first way, it looks like it is the revenue from a single apartment. The second way, it looks like it is the revenue from the entire apartment complex.
- The derivative is in error. It should be -20x +2000. In any event, this is not the derivative you want. You're not trying to maximize revenue; you're trying to maximize profit.
- It might be useful to write an equation for profit: P(x) = R(x) -200x = -10x² +1800x. Then when you go to maximize it, your derivative will be P'(x) = 0 = -20x +1800 ⇒ x = 90.
Your answer is correct, but the path you followed to get there has a few potholes.
If one angle is 8 times bigger than the other, the bigger angle's measure would be 8x and the smaller angle's measure would be x. 8x+x=90. This simplifies to 9x=90. To find x, you divide 9 from 90, making x=10. This means the smaller angle (Angle 2) is 10° and the bigger angle's (Angle 1) is 8 times 10, so it is 80°.
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Step-by-step explanation:
a) Line AB ll DC
b) Line GH acts as a transversal.
c) <10 ; <12 , <9 ; <11
d) <8 = 180° - 120° = <u>60</u><u>°</u><u>(</u><u>Ans</u><u>)</u>
<6 = <u>120</u><u>°</u><u>(</u><u>Ans</u><u>)</u>
<5 = <u>60</u><u>°</u><u>(</u><u>Ans</u><u>)</u>
<4 = <u>60</u><u>°</u><u>(</u><u>Ans</u><u>)</u>
<3 = <u>120</u><u>°</u><u>(</u><u>Ans</u><u>)</u>
<2 = <u>120</u><u>°</u><u>(</u><u>Ans</u><u>)</u>
<1 = <u>60</u><u>°</u><u>(</u><u>Ans</u><u>)</u>
Answer:
Step-by-step explanation:
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