If the difference between the 7th and 9th terms
of an arithmetic sequence is 25. Find the
Common difference.

The common difference is

Explanation:

The difference between the 7th and 9th terms  of an arithmetic sequence is 25

Since, we know the general form of an AP is

For , we have,

---------(1)

For , we have,

----------(2)

Subtracting (1) and (2), we get,

Since, it is given that the difference between 7th and 9th term is 25.

Hence, we have,

Dividing both sides by -2, we have,

Hence, the common difference is

answer with step-by-step explanation:

a. ∠j is supplementary to ∠k - true:

(opposite angles of a trapezoid are supplementary which means that they add up to 180 degrees)

b. kl is parallel to jm - true:

(opposite sides are parallel to each other in a trapezoid)

c. jk is perpendicular to kl - false:

(clearly, jk does not make a right angle with kl)

d. jk is parallel to lm - false:

(jk and lm are two lines opposite in direction to each other so they cannot be parallel)

e. ∠j is congruent to ∠m - true:

(the angles on each side of the base are congruent)

f. ∠j is congruent to ∠k - false:

(the angles on the same side but opposite side of the base are not congruent)

answer: what are the following choices