Identify the property that justifies the statement. ∠xyz≅∠pdq and ∠pdq≅∠abc, so ∠xyz≅∠abc.

Transitive property of Equality.

Therefore if ∠XYZ≅∠PDQ and ∠PDQ≅∠ABC then by transitive property of equality we have ∠XYZ≅∠ABC.

The law of transitivity tells that if a equals to b and b equals to c then a equals to c.

For example If Jane has same height of Susan and Susan has same height of Tina then Jane has same height of Tina.

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.