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°.
They are open ended because -11 and 2 are not included in the interval.
<h3>Linear inequality in interval notation</h3>
Linear equations are expression not separated by an equal sign.
Given the inequality S = {x|-11 < x < 2}
This means that the values in the interval is between -11 and 2, the expression in interval notation will be given as;
(-11, 2). Note that they are open ended because -11 and 2 are not included in the interval.
Learn more on interval notation here: brainly.com/question/13160076
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Answer:
f(g(x))=x
G(f(x))=x
Step-by-step explanation:
f(x)=8x
g(x)=x/8
f(g(x))
f(x/8)
8x/8
x
g(f(x))
g(8x)
8(x/8)
x
See attachment file below.
Answer: 11/3
Hope it helped!
20x-10y=60 simplified would be y=2x-6
slope : 2
