Three consecutive terms of an arithmetic progression are 20 - x, 18, -44 + 7x. What is
the common difference of the progression?

8

Step-by-step explanation:

Common difference = 2nd term - first term

                                  = 18 - [20 - x] = 18 - 20 +x  = -2 + x

Common difference = third term - 2nd term

                                 = -44 + 7x - 18 = -62 + 7x

7x - 62 = -2 +x

7x - x = -2 +62

6x = 60

x = 60/6

x = 10

First term = 20-x = 20-10 = 10

Common difference  =  18 - 10 = 8

Check:

Third term = second term + 8 = 18 + 8 = 26

Third term = -44 + 7x

                 = -44 + 7*10 {x =10}

                 = -44 + 70 = 26

x=10

Step-by-step explanation:

hello :

the common difference is : (-44+7x)-18 =18-(20-x)

-44+7x-18 = 18-20+x

7x-x = 18-20+18+44

6x = 60

x=60/6 =10

a. 74 degrees

step-by-step explanation:

because the lines through the side and the box in the corners shows that these are congruent triangles and since they are mirrored the 37 degrees is also mirrored so the answer is 37 * 2 which is 74.

answer: true

step-by-step explanation: