m∠MON = 130°
Solution:
Given m∠LON is a straight angle
m∠LOM = 4x + 30°, m∠MON = 8x + 90°
⇒ m∠LON = 180°
⇒ m∠LOM + m∠MON = 180°
⇒ 4x + 30° + 8x + 90° = 180°
Combine like terms together.
⇒ 4x + 8x + 30° + 90° = 180°
⇒ 12x + 120° = 180°
Subtract 120° on both sides of the equation.
⇒ 12x + 120° – 120° = 180° – 120°
⇒ 12x = 60°
Divide by 5 on both sides of the equation.
⇒ x = 5°
Substitute x = 5° in m∠MON.
⇒ m∠MON = 8x + 90°
= 8(5°) + 90°
= 40° + 90°
= 130°
Hence m∠MON = 130°.
the answer is ccc
Step-by-step explanation:
Answer:
Explanation:
Let x be the age of the person who enter the room
(18 + 25 + 18 + 21 + 16 + x)/6 = 25
(77 + x)/6 = 25
77 + x = 25(6)
77 + x = 150
x = 150 - 77
x = 73
Answer:
3x - y = 1
Step-by-step explanation:
This will be the same equation written in a different way'
The original equation is:
y = 3x - 1
0 = 3x - y - 1
3x - y = 1.