Your answer is: Yes, because the sum of the two angles is 180° (the second option).
I hope this helps!
Answer:
48.5
Step-by-step explanation:
The constant of proportionality in this case is the speed at which Andrew travels.
We know that the speed is equal to:
v = d / t
We know the distance that is 145.5 miles and the time is 3 hours, replacing:
v = 145.5 / 3
v = 48.5 mi / h
which means that the equation would be:
y = k * x
where k, that is, the constant of proportionality is the velocity 48.5.
y = 48.5 * x
To check if for example x is worth 3, it would be:
y = 48.5 * 3
y = 145.5
EXPLANATION:
To find the value of y when x is equal to 1 I must follow the following steps:
1-Replace in the given equation in the variable x by the value of 1
2.Then I must perform the operation correctly.
The exercise is as follows:
(i) speed = distance / time
so time = distance / speed
here we have
time t = 1080/x hours
(ii) return flight time = 1080 / (x + 30) hours
(a) 1080/x - 1080/(x + 30) = 1/2
Multiplying through by the LCD 2x(x + 30) we get:-
1080*2(x + 30) - 2x*1080 = x(x+30)
2160x + 64800 - 2160x = x^2 + 30x
x^2 + 30x - 64800 = 0
(b) factoring; -64800 = 270 * -240 ans 270-240 = 30 so we have
(x + 270)(x - 240) = 0 so x = 240 ( we ignore the negative -270)
So the speed for outward journey is 240 km/hr
(c) time ffor outward flight = 1080 / 240 = 4 1/2 hours
(d) average speed for whole flight = distance / time
Time for outward journey = 4.5 hours and time for return journey = d / v
= 1080 / (240+30) = 4 hours
Therefore the average speed for whole journey = 2160 / 8.5 = 254.1 km/hr
