a) Set up the variables: Let represent the first number, Then will represent the second, Then will represent the third. * b) What is the equation that represents the above situation* c)solve the equation d) three integers are?

33, 34 and 35

Step-by-step explanation:

Three consecutive numbers have a sum of 102. What are the three integers?

Let x be the first number, then x + 1 is the second, then x + 2 is the third number.

The required equation to show the sum is:

x + x + 1 + x + 2 = 102

Solve for x:

3x + 3 = 1023x = 99x = 33

The numbers are 33, 34 and 35

Answer: d. 39 cmin the diagram, the approximate length of the minor arc de is 39 centimetres.step-by-step explanation: the formula for the length of an arc in a circle is as displayed below.let the length of the minor arc de = xx = 2( pi )r × angle of sector / 360°from this, we will substitute the values given from the problem into the formula to obtain the length of the minor arc de.x = 2( pi )r × angle of sector / 360°r = radius = 25cmpi as an approximate value = 3.14angle of sector = 120°x = 2( 3.14 )( 25 ) × 120° / 360°x = 157 × 1 / 4x = 39.25x = 39 ( rounded to the nearest whole number as an approximate value )