Are these sets of triangles congruent?

No, they cannot be determined as congruent.

The SAS rule of congruency requires that two sides and the angle BETWEEN them are congruent. However, the angle between them is not specified as congruent.

There exists no SSA (side-side-angle) rule of congruency that would help prove the pair of triangles congruent. Thus, we have insufficient information to determine them as congruent.

answer: 25.4 units

step-by-step explanation: radius = 12.7 units

diameter = twice the radius

diameter = 12.7 x 2

= 25.4

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