Question

Mq=nr=14 pq=5np what is the length of np if mr=20

Answer 1

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.