he bought 34 pencils which I suppose aren't already sharpened
so if he sharpens 16 of them just subtract 16 from 34 (34-16) which equals 18
so the ratio would be 16:18
but if u need to simplify it would be 8:9
Answer:
x ≈ 77°, y = 103°
Step-by-step explanation:
Using the Sine rule in Δ BCD
=
( cross- multiply )
2.9sinx° = 4sin45° ( divide both sides by 2.9 )
sinx° =
, thus
x =
(
) ≈ 77° ( to the nearest degree )
Since AC and DC are congruent then Δ ACD is isosceles.
Thus the base angles are congruent, that is
∠ ADC = ∠ CAD = y°
x and y are adjacent angles and supplementary, thus
x + y = 180, that is
77 + y = 180 ( subtract 77 from both sides )
y = 103°