4 1/6 + 2 3/4 too many answer not sure which is correct

4 1/6 turn it into an improper fraction so it will become 10/6
2 3/4 turn it into an improper fraction so it will become 10/4

4 1/6 = 10/6
2 3/4 = 10/4 now add them both up

10/6 +10/4 = 30/12 + 20/12
The answer will be 40/12 simplifying it to 3 and 1/3

m<ABC = 71°

Step-by-step explanation:

Given:

m<BCA = 71°

x = 31 cm

y = 50 cm

Required:

m<ABC

Solution:

First, find AB, using Cosine Rule:

AB² = x² + y² - 2xy*Cos m<ABC

Plug in the values

AB² = 31² + 50² - 2(31)(50)*cos 71

AB² = 3,461 - 1,009.26128

AB² = 2,451.73872

AB = √2,451.73872

AB = 49.5150353 ≈ 50 cm

✔️Since AB ≈ 50 cm, and AC is also 50 cm, it means the triangle is an isosceles triangle.

Therefore, the base angles of ∆ABC, <ABC and <BCA, would be congruent.

Therefore,

m<BCA = m<ABC = 71°

m<ABC = 71°