Answer:
The slopes of line m and p will be the same: 1/25 (I think thats what that says)
Step-by-step explanation:
when two lines are parallel it means they will never touch, and so they must have the same slope. If their slopes were different (even by 1 decimal), they would touch and so would no longer be parallel.
<span>Line a is parallel to line b:
</span><span>m∠1=m∠ 5, because they are correspondent angles, then:
2x+44=5x+38
Solving for x:
2x+44-2x-38=5x+38-2x-38
6=3x
3x=6
Dividing both sides of the equation by 3
3x/3=6/3
x=2
Answer: Third option: 2</span>
No it is not. The formula to find simple interest is Interest=Prt (p= main amount of money $300) (r= rate of interest which WOULD be a percent but is not there) (t= time aka 2 years)
A parachutist descends 65 feet in 5 seconds.
To find the unit rate, you need to find how many feet the parachutist descends <u>per second(for 1 second)</u>
You can divide 65 by 5 to get the # of feet per second.
65/5 = 13
13 feet per second
![\bf cos\left[tan^{-1}\left(\frac{12}{5} \right)+ tan^{-1}\left(\frac{-8}{15} \right) \right]\\ \left. \qquad \qquad \quad \right.\uparrow \qquad \qquad \qquad \uparrow \\ \left. \qquad \qquad \quad \right.\alpha \qquad \qquad \qquad \beta \\\\\\ \textit{that simply means }tan(\alpha)=\cfrac{12}{5}\qquad and\qquad tan(\beta)=\cfrac{-8}{5} \\\\\\ \textit{so, we're really looking for }cos(\alpha+\beta)](https://tex.z-dn.net/?f=%5Cbf%20cos%5Cleft%5Btan%5E%7B-1%7D%5Cleft%28%5Cfrac%7B12%7D%7B5%7D%20%20%5Cright%29%2B%20tan%5E%7B-1%7D%5Cleft%28%5Cfrac%7B-8%7D%7B15%7D%20%20%5Cright%29%20%5Cright%5D%5C%5C%0A%5Cleft.%20%5Cqquad%20%20%5Cqquad%20%20%5Cquad%20%20%20%5Cright.%5Cuparrow%20%5Cqquad%20%5Cqquad%20%20%5Cqquad%20%20%5Cuparrow%20%5C%5C%0A%5Cleft.%20%5Cqquad%20%20%5Cqquad%20%20%5Cquad%20%20%20%5Cright.%5Calpha%20%5Cqquad%20%5Cqquad%20%20%5Cqquad%20%20%5Cbeta%0A%5C%5C%5C%5C%5C%5C%0A%5Ctextit%7Bthat%20simply%20means%20%7Dtan%28%5Calpha%29%3D%5Ccfrac%7B12%7D%7B5%7D%5Cqquad%20and%5Cqquad%20tan%28%5Cbeta%29%3D%5Ccfrac%7B-8%7D%7B5%7D%0A%5C%5C%5C%5C%5C%5C%0A%5Ctextit%7Bso%2C%20we%27re%20really%20looking%20for%20%7Dcos%28%5Calpha%2B%5Cbeta%29)
now.. hmmm -8/15 is rather ambiguous, since the negative sign is in front of the rational, and either 8 or 15 can be negative, now, we happen to choose the 8 to get the minus, but it could have been 8/-15
ok, well hmm so, the issue boils down to
now, let's take a peek at the second angle, angle β
now, with that in mind, let's use the angle sum identity for cosine
