Answer:
the length of np is 2.8 units.
Step-by-step explanation:
Mq = nr = 14
pq = 5np
mr = 20
We want to find the length of np.
First, let's use the information from statement 2 to express pq in terms of np:
pq = 5np
Now, we can use the information from statement 1 (Mq = nr = 14) to set up two equations:
Mq = 14
nr = 14
Since Mq = nr, we can say that:
pq = 5np = 14
Now, we have the equation pq = 14. But we also know that mr = 20 (from statement 3).
Since mr = 20, we can set up an equation using the information we found earlier:
pq = 5np = 14
Now, we have two equations:
pq = 14
mr = 20
We want to find the length of np. To do this, let's solve for pq from equation 1:
pq = 14
Now, we can use this value of pq in equation 2:
5np = 14
To find np, divide both sides by 5:
np = 14 / 5
Now, calculate np:
np = 2.8
So, the length of np is 2.8 units.