Question

Help please numbers 46, 47, 48

Answer 1

Answer:

46. ΔQRP ≅ ΔUTV

47. y = 42

48. ∠KMN = 101°

Step-by-step explanation:

46. It is convenient to name the vertices in the order of the number of arc identifying the angle. Corresponding vertices need to be named in the same order in the congruence statement.

47. From the sum of angles of a triangle, you know that ...

  x +62 +65 = 180

  x = 180 -127 = 53

  x - y = 11 since the corresponding sides are the same length

  53 - y = 11 . . . . . .substitute the value of x

  y = 53 - 11 . . . . . . add y-11

  y = 42

48. The exterior angle has the same measure as the sum of the opposite interior angles:

  81 +4x = 13x +36

  45 = 9x . . . . . . . . . add -4x-36

  5 = x . . . . . . . . . . . divide by 9

  ∠KMN = (13x +36)° = (13·5 +36)° = 101°