Answer:
∠DEC and ∠IHJ
Step-by-step explanation:
Alternate exterior angles are angles that lie on the outside of the parallel lines, but different sides.
∠DEC is on the upper left.
∠IHJ is on the lower right.
Therefore ∠DEC and ∠IHJ are alternate exterior angles.
Answer:
h = 6 units
Step-by-step explanation:
The formula for the volume of a tetrahedron is given as :
V = sh
Where
s is area of base and h is height
Put s = 8 and V = 48 to find h as follows :

So, the height of the tetrahedron is 6 units.
Answer:
18; 1h30m; 15
Step-by-step explanation:
<u>Part A:</u>
James traveled 45km, you can tell because that is where he stops.
It took him from 2pm to 4:30pm.
You can find this info on the x axis.
That means 45km took him 2.5 hours.
45/2.5=18
James travels 18km per hour.
<u>Part B:</u>
The stop is indicated by the flat part in the graph. This is because when he stops, the distance he is away from home is not changing.
His stop is from 4:30pm to 5pm.
This means that his stop is 1 hour and 30 minutes.
<u>Part C:</u>
James had to travel 45km to get back home. (45-0)
It took him from 5pm to 8pm.
This means that on his journey back, 45km took him 3 hours.
45/3=15
James travels 15km per hour.
Answer:
x<-8 or x>1/5
Step-by-step explanation:

First we replace > symbol by = sign

To solve for x we multiply 5x-1 on both sides
x+8 =0
x=-8
5x-1=0 solve for x
x= 1/5
WE got two values x=-8 and x= 1/5
Now we make a number line and check with each interval
x<-8, -8<x<1/5, x>1/5
Pick x= -9 and check with the given inequality

1/46 >0 is true, so x<-8 satisfies our inequality
Pick x= 0 and check with the given inequality

-8 >0 is false , -8<x<1/5 does not satifies our inequality
Pick x= 2 and check with the given inequality

10/9>0 is true , x>1/5 satisfies our inequality
Answer:
2n - 3
Step-by-step explanation:
(n-2) + (n-1) = 2n - 3