2. Use the diagram and given information to answer the questions and prove the statement. Given: X Z
Prove:
YZXAB
a) Re-draw the diagram of the ooverlapping triangles so that the two triangles are separated.

b) what additional information would be necessary to prove that the two triangles, XBY and ZAY, are congruent? What congruency theorem would be applied?

c) prove using a flow chart proof

question: how many people can she serve?

answer: she can serve 16.66666667 people. so she can only give 16 people a complete serving.

question: does she have enough ice cream for her guests?

answer: no. explanation: she only has enough for 16 people to have a full serving. however, she can give a 17th person a partial serving.

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

3

step-by-step explanation: