Determine the value of x and the measure of

∠O  = 56 degrees

Step-by-step explanation:

∠M + ∠N + ∠O = 180

90 + 34 + 2x - 5 = 180

119 + 2x = 180

-119            -119

2x = 61

2      2

x  = 30.5

∠O = 2x - 5

∠O = 2(30.5) -5

∠O  = 56

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.