(y+2)=1/4(x-4) is the answer because you use the formula (y-y1)=slope(x-x1)
The number of the day is 60 because the LCM is 30
We are given
△ABC, m∠A=60° m∠C=45°, AB=8
Firstly, we will find all angles and sides
Calculation of angle B:
we know that sum of all angles is 180
m∠A+ m∠B+m∠C=180
we can plug values
60°+ m∠B+45°=180
m∠B=75°
Calculation of BC:
we can use law of sines

now, we can plug values



Calculation of AC:

now, we can plug values



Perimeter:

we can plug values


Area:
we can use formula

now, we can plug values

...............Answer
Since 30 times 5= 150, he worked 150 hours for the rest of the week.
500 songs in his music player: + 500
every week he adds 10 songs: 10n (n is how many weeks)
equation: s = 10n + 500 (s is the total amount of songs)
after 20 weeks? : plug it in
s = (10 x 20) + 500
s = 200 + 500
s = 700
he will have 700 songs in his music player after 20 weeks