Triangle PQR has the following coordinates: P (-9,-12) Q(-6, -13) R(-7, -4)

Where is Q' after a rotation 90° clockwise?

(-13,6)

Step-by-step explanation:

Rule for rotation 90 degrees clockwise around the origin

( x , y ) > ( y , -x )

Explanation of rule:

Swap the x and y values

Change sign of new y value

Find Q' after a rotation 90 degrees clockwise around the origin

Given coordinates of Q

(-6,-13)

Apply rotation 90 degree clockwise rule

(-6,-13) > swap x and y values -> (-13,-6) > change sign of new y value > (-13,6)

Q' will be at (-13,6) after a rotation 90 degrees clockwise around the origin

answer:   28.56 feet (approx)

step-by-step explanation:

since, triangle abc has measure of angle c equal to 55 degrees, measure of angle abc equal to 90 degrees, and length of bc equal to 20 feet.

we have to find out the measurement of segment ab.

therefore, tan 55° =

but bc = 20 feet.

⇒ tan 55 ° =  

⇒ ab = 20 × tan 55 °

⇒ ab = 20 × 1.42814800674

⇒ ab = 28.5629601348   ≈ 28.56 feet

what shape is