Show that the sum of two consecutive number is 13 to the power 2

The two numbers are 84 and 85

Step-by-step explanation:

13^2 = 169

So let the first consecutive number = x

Let the second consecutive number = x + 1

13^2 = 13*13 = 169         Develop the equation

x + x + 1 = 169               Combine Like terms on the left

2x + 1 = 169                  Subtract 1 on both sides.

2x = 169-1                     Combine the terms on the right

2x = 168                        Divide by 2

x = 168/2

x = 84

the figures below are made out of circles, semicircles, quarter … find the area and the perimeter of each figure and give your answers as a completely simplified exact value in terms of π (no approximations). remember that we'll also have to cut whatever areas we get in half, since we're only dealing im pretty sure that is the right answer

step-by-step explanation:

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