Please help! The pitch of a roof is its slope. Find the pitch of the roof shown.

The pitch of a roof is 20 feet.

Step-by-step explanation:

Given :- height and base of a roof are 12 feet and 16 feet

To Find :- pitch of a roof

Solution :- Let the pitch of roof be x feet

Now, by using pythagoras theorem

h² = b² + p²

(x)² = (16)² + (12)²

x² = 256 + 144

x² = 400

x = √400

x = 20

so, x = 20 feet

Hence , the pitch of a roof is 20 feet

3< x< 5

step-by-step explanation:

|x - 4| < 1

there are two solutions, one positive and one negative.   remember to flip the inequality when taking the negative solution

x-4 < 1       x-4 > -1

add 4 to each side

x-4+4 < 1+4       x-4+4 > -1+4

x< 5                 x> 3

3< x< 5