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Step-by-step explanation:
When x = 0,
sin3x / 6x = 0 / 0, which is an indeterminate form.
Hence we use L'Hospital's rule:
d/dx (sin3x) = 3cos3x
d/dx (6x) = 6
Now we have 3cos3x / 6 or 0.5cos3x.
When x = 0, 0.5cos3x = 0.5(1) = 0.5.
Hence the limit is 0.5.
Answer:
x = 10
y = 6
Step-by-step explanation:
<u>Vertical Angle Theorem</u>: When two straight lines intersect, the opposite vertical angles are always equal to each other.
⇒ m∠1 = m∠3 and m∠2 = m∠4
⇒ m∠1 = m∠3
⇒ 10x = 100
⇒ x = 10
<u>Linear pair:</u> Two adjacent angles which sum to 180°.
⇒ m∠1 + m∠2 = 180°
⇒ m∠3 + m∠4 = 180°
⇒ 100 + 10y + 20 = 180
⇒ 120 + 10y = 180
⇒ 10y = 60
⇒ y = 6
Simplify both sides of the equation
3x+1/10 = x+ -1/7
Subtract x from both sides
3x+1/10 -x = x+ -1/7 -x
2x+1/10 = -1/7
Subtract 1/10 from both sides
2x+1/10 - 1/10 = -1/7 -1/10
2x= -17/70
Divide both sides by 2
2x/2 = -17/70/2
x= -17/140
decimal x will equal -0.121
Ask any questions you want and I hope that's help !
