Answer:
x = 21°
y = 29°
Step-by-step explanation:
a) Solving for x
Note that:
(3x - 3)° and 60° are Alternate interior angles, and alternate interior angles are equal to each other, hence:
3x - 3 = 60° (Alternate interior angles)
Add 3 to both sides
3x - 3 +3 = 60 + 3
3x = 63°
x = 63°/3
x = 21°
b) Solving for y
Notes that:
(3x - 3)° and (4y + 4)° are Consecutive interior angles and the sum consecutive interior angles is 180°
3x - 3 + 4y + 4 = 180°
3x + 4y - 3 + 4 = 180°
3x + 4y + 1 = 180°
Note that x = 21
Hence
3(21) + 4y + 1 = 180°
63 + 1 + 4y = 180°
64 + 4y = 180°
Subtract 64 from both sides
64 - 64 + 4y = 180° - 64
4y = 116°
y = 116/4
y => 29°
36 x 24=864 whole poster
5 x 12=60 cut part
864 - 60= 804 part that remains
;)
Dividing by a fraction means the same as multiplying by its reciprocal.
In other words, change the division sign to multiplication
and flip or take the reciprocal of the second fraction.
So we can rewrite 2/13 ÷ 1/6 as 2/13 × 6/1.
Now multiply across the numerators and denominators to get 12/13.
1/10 of an hour (D) is correct. Hope this helped :)
