If lines p and q are parallel then the value of x is

The answer is A. 10

Step-by-step explanation:

The two angles are alternate interior angles so they are congruent. Since they are congruent, you can write it in an equation.

5x - 25 = 3x - 5

subtract 3x from each side

2x - 25 = -5

add 25 to each side

2x = 20

divide 2 from each side

x = 10

Also, if you want to check your answer, you can plug 10 back into the equation to see if they're equal.

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.