Which sequences of transformations confirm the congruence of shape II and shape I? a reflection of shape I across the x-axis followed by a 90° clockwise rotation about the origin

Answer and Step-by-step explanation:

A reflection of shape I across the y-axis followed by a 90° clockwise rotation about the origin

The sequence of transformations stated is correct.

First, the shape will be reflected across the y-axis. So essentially, make all the x-value points the opposite (turn positive values to negative, and negative values to positive; in this case, turn the positive x-values to negative x-values.)

Then, you rotate the figure 90 degrees counterclockwise (going up, not to the right on the graph, like how the minute and hour hand move around the clock.) The points will line up with shape II.

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I hope this helps!

9.55 degrees.

step-by-step explanation:

the given angle is

1 cycle is equal to 2π radians. so 4π will be equal to two cycles.

5.166667π-4π = 1.166667π

hence, this angle goes a little more than negative x axis.

1.166667π-π= 0.166667π

hence, the reference angle is 0.166667π radians.

1 radian = 57.2958 degrees

now, in degrees, this should be equals to 9.55 degrees.

answer: city needs 2.4 inches of rainfall more to match the record of 40 inches.

step-by-step explanation:

since we have given that

total annual rainfall a city record = 40 inches

this year, total rainfall recorded = 37.6 inches

number of inches of rainfall   is needed to match the record of 40 inches is given by

hence, city needs 2.4 inches of rainfall more to match the record of 40 inches.