Answer:
∠x = 90°
∠y = 58°
∠z = 32°
Step-by-step explanation:
The dimensions of the angles given are;
∠B = 32°
Whereby ΔABC is a right-angled triangle, and the square fits at angle A, we have;
∠A = 90°
∴ ∠B + ∠C = 90° which gives
32° + ∠C = 90°
∠C = 58°
∠x + Interior angle of the square = 180° (Sum of angles on a straight line)
∴ ∠x + 90° = 180°
Hence;
∠x = 90°
∠x + ∠y + 32° = 180° (Sum of angles in a triangle)
∴ 90° + ∠y + 32° = 180°
∠y = 180 - 90° - 32° = 58°
∠y + ∠z + Interior angle of the square = 180° (Sum of angles on a straight line)
58° + ∠z +90° = 180°
∴ ∠z = 32°
∠x = 90°
∠y = 58°
∠z = 32°
Answer:
Both leave at 4 pm . The next time they will leave at 5:20 pm
Step-by-step explanation:
Taking LCM of 16 and 10
16= 2*2*2*2
10= 2*5
LCM= 2*2*2*2*5= 80
1 hour = 60 mins
80/60= 1 hour 20 minutes
Both leave at 4 pm . The next time they will leave at 5:20 pm
<span>3x + 8x + 4x = 6x + 63
15x = 6x + 63
9x = 63
x = 7
so
5x+ 23 =5(7) + 23 = 35+23 = 58</span>
Answer:
-7.11°F
Step-by-step explanation:
the exchange of gases in the atmosphere
Answer:
Step-by-step explanation:
x + y = 7 + 2/8 = 58/8
x - y = 2 + 4/8 = 20/8
Add the equations together
2x = 78/8
x = 39/8
y = x - 20/8 = 19/8
x = 39/8 = 4⅞
y = 19/8 = 2⅜
