Triangle abc is rotated 100° counterclockwise about point p to create δa′b′c′. what is m∠c′a′b′

Angle CAB

Step-by-step explanation:

Given that a triangle ABC is rotated 100 degrees counterclockwise about a point P. New triangle formed is Triangle A'B'C'.

A rotation is a transformation in which the object is rotated about a fixed point. The direction of rotation can be clockwise or anticlockwise. The fixed point in which the rotation takes place is called the center of rotation.

Here fixed point is P and angle is 100 degrees

The property of rotation is rotation is a transformation of transforming a geometric figure to a similar figure.

In other words, by rotation here ABC will be similar to A'B'C'

Hence angles of ABC will remain equal to angles of A'B'C' in that order.

So m/_ C'A'B'=m /_CAB

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.