Given the figure below, find the values of x and z

m∠z = 99°

x = 12

General Formulas and Concepts:

Geometry

Step-by-step explanation:

Step 1: Find m∠z

99° and z° are Vertical Angles.

m∠z = 99°

Step 2: Find x

m∠z and (7x - 3) must add up to 180° since they are Supplementary.

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.