Answer:
See below.
Step-by-step explanation:
7.)
Supplementary angles add up to 180°. ∠B's supplement is 22°. This means ∠B is 158°. Since ∠A ≅ ∠B, the m∠A = 158°.
8.)
Again, supplementary angles add up to 180°. ∠P is a right angle meaning it is 90°. Therefore, the m∠Q is 90° as well.
9.)
Complementary angles add up to 90°. In order for ∠S and ∠T to be complementary, they both need to angle measurements less than 90° meaning they both need to be acute angles.
Now that we know that ∠T is acute, the only way ∠U can be its supplement is if it has an angle measure greater than 90°. Therefore, ∠U is an obtuse angle.
10.)
Similar to question 9, if an angle is obtuse, its supplement must be an acute angle.
<h2>
<u>Q</u><u>U</u><u>E</u><u>S</u><u>T</u><u>I</u><u>O</u><u>N</u><u>:</u></h2>
A demographer predicts that the population, P, of a town t years from now can be modeled by the function <u>P(t) = 6t^4 - 5t^3 + 200t + 12000</u>. What will the population of the town be two (2) years from now?
<h2>
<u>S</u><u>O</u><u>L</u><u>U</u><u>T</u><u>I</u><u>O</u><u>N</u><u>:</u></h2>
To calculate the population of the town be two (2) years from now, replace t into 2:
<h2>
<u>A</u><u>N</u><u>S</u><u>W</u><u>E</u><u>R</u><u>:</u></h2>
- The population of the town be two (2) years from now is <u>12, 456</u>.
If you would like to learn more about functions, kindly please take your time to visit this following links:
Answer:
Use dimensional analysis to answer each of the following questions. To find the distance light travels in a year for part a, convert sec to yr by using unit ratios with min, hr, and days in their denominators. Thus, a light year is approximately 5,874,589,152,000 mi
Answer:
she ran 1268 laps
Step-by-step explanation: