Answer:
see explanation
Step-by-step explanation:
∠ 4 and ∠ 6 are same- side interior angles and supplementary, sum to 180°
Answer:
P=9h
Step-by-step explanation:
Since Teresa makes 9 dollars for each hour of work, we can say:
9 dollars/1 hour.
Her total pay will be on one side of the equation:
p=
Since we do not know how many hours, we put the variable ‘h’ as it says in the problem in the hour section:
h hours
Every hour, she makes 9 dollars. Every ‘h’ hour, she makes 9xh or 9h dollars since you multiply the amount of money you get each hour by the number of hours. For example, if she worked 2 hours, you multiply 2x9 to get 18 dollars, which is what she earned in 2 hours.
p=9h
If sum of numbers (a) +(b) is 1419 and
(a) and (b) are <span>neighbors , whe have:
a + b = 1419 and b-a = 1;
<=> </span>a + b = 1419 and <span>a = b-1 ;
so we have b-1 + b = 1419 <=> 2b = 1420 <=> b=710 and a = 709
Answer: 710 and 709
</span>
<span>From the message you sent me:
when you breathe normally, about 12 % of the air of your lungs is replaced with each breath. how much of the original 500 ml remains after 50 breaths
If you think of number of breaths that you take as a time measurement, you can model the amount of air from the first breath you take left in your lungs with the recursive function

Why does this work? Initially, you start with 500 mL of air that you breathe in, so

. After the second breath, you have 12% of the original air left in your lungs, or

. After the third breath, you have

, and so on.
You can find the amount of original air left in your lungs after

breaths by solving for

explicitly. This isn't too hard:

and so on. The pattern is such that you arrive at

and so the amount of air remaining after

breaths is

which is a very small number close to zero.</span>
Answer:
Step-by-step explanation:
Notice that the measure of angle 5 is congruent, or equal to, the measure of angle 1. You entered this in one of your previous steps. Since the measure of Angle 1 is CONGRUENT to the measure of Angle 5, you can substitute Angle 5 for Angle 1.
Similarly, the measure of Angle 3 is congruent to Angle 6. So you can write that the m(Angle 5) + m(Angle 2) + m(Angle 6) = 180. By method of substitution.
I'm not exactly sure if this is the right order they want you to do it, however I hope this helps.