Answer:
Third one
<1 = <4 and <2 = <3
Step-by-step explanation:
When two parallel lines form a Z shape, we call the angles at the vertices of Z to be alternate interior angles, which are equal
Answer:
n=6
Step-by-step explanation:
Given -> -2(n+5)+6n=14
Distributive Property -> -2n-10+6n=14
Combine like terms -> 4n-10=14
Add 10 to both sides -> 4n=24
Divide both sides by 4 -> n=6
So n=6
Answer:
2 hours and 15 minutes
Step-by-step explanation:
They need 10 tutors if the academy has 120 students.
Answer:
45 mph
Step-by-step explanation:
This is a really good question to know the answer to. It is tricky and a bit indirect (which means you have to find something else before you can find the speed of the car.)
Let's keep track of what he does in the time allotted.
How far does Joe go in 5 minutes? That's the amount of time he's on the road before she is.
convert 5 minutes into hours. 5 minutes * 1 hour / 60 minutes = 1/12 of an hour
d = r*t
r = 30 km/hour
t = 1/12 hour
d = 30 km/hr * 1/12 hour = 2.5 km
Now she's about to start. She wants to catch him in 10 minutes
d = r*t
r = x mph
t = 10 minutes = 10 minutes * 1 hour * 60 minutes = 1/6 of an hour.
How far does he go in the 10 minute time?
d = 30 * 1/6 = 5 km
What is his total distance
5 km + 2.5 km = 7.5 km
Finally how fast does she need to go to catch him
d = 7.5 km
r = ? This is what you are trying to find
t = 1/6 of an hour
d = r*t
7.5 km = r * (1/6)hour divide by 1/6 hour
7.5 km // 1/6 hour = r
r = 7.5 * 6 = 45 mph
