Answer:
∠3 = 18°
∠4 = 144°
∠2 = 36°
∠1 = 72°
Step-by-step explanation:
From the concept of alternate interior angles,
∠3 = 18°
Since the diagonal divides the rectangle into 4 parts with 2 of the rectangles being similar.
Then, the triangle with ∠3 & ∠4 is an Isosceles triangle and as such;
∠4 = 180 - 2(∠3)
∠4 = 180 - 2(18)
∠4 = 180 - 36
∠4 = 144°
∠2 = 180 - ∠4 (because sum of angles on a straight line is 180°)
∠2 = 180 - 144
∠2 = 36°
Like it was done for angle ∠4 above;
∠1 = (180 - 36)/2
∠1 = 144/2
∠1 = 72°
Step-by-step explanation:
remember, tan = sin/cos.
of course, one solution is x = 0. sin(0) = 0, tan(0)=0).
for the general solution we look at x <> 0.
3×sin(x) = 2×tan(x) = 2×sin(x)/cos(x)
3 = 2/cos(x)
3×cos(x) = 2
cos(x) = 2/3
x = 48.1896851...°
4r - 8 = 5r + 12
4r - 5r = 12 + 8
-r = 20
r = -20 <===
Answer:
16
Step-by-step explanation:
8 =10%
8x2=16
16 is 20%
32=40%
8x4=32
32-16
