Answer:
son = 6 mother = 48
Step-by-step explanation:
Mother = m
son = s
m = 8s
m+6 = 9/2 * (s+6)
so
2(8s + 6) = 9(s +6)
16s + 12 = 9s + 54
16s - 9s = 54 - 12
7s = 42
s = 42/7 = 6 years old
so the mother is 8s = 8*6= 48 years old
La of sine:
sinC/c = sinB/b==> sin 37°/8 = sin B/12 ==> sin B = 0.903
arcsinB or sin⁻¹ B = 64.5°, & sin (B°) = sin (180° - B°), then
sin(64.5) = sin(180°-64.5°) ==> B = 64.5° or 115.5°
Find the horizontal and vertical distance between the points. First, subtract y2 - y1 to find the vertical distance. Then, subtract x2 - x1 to find the horizontal distance.
Its .2857142857(long decimal xD)
