Δdef ≅ δd'e'f'. use the picture to answer the question below. describe a sequence of rigid motions that would prove a congruence between δdef and δd'e'f'

1) Translation

2) Rotation

3) Reflection  

Step-by-step explanation:

To make ΔDEF ≅ ΔD'E'F' , we will carry on the following steps:

Step 1: Translate ΔD'E'F' in upward direction, the figure will remain same but it will shift a little in upwards direction.

Step 2 : Rotate ΔD'E'F' about 180°. The figure obtained will be reflection of the original image ΔDEF.

Step 3 : Reflect ΔD'E'F'.

This implies that ΔDEF≅ΔD'E'F'.  

well we know there are 4 clubs in 52 cards so it’s replaced so it should be 3/51

step-by-step explanation:

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