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3 years ago

Solve for x of (8x+30)°(4x+18)°

Mathematics

1 answer:

rodikova [14]3 years ago

4 0

$(8x+30) ^{o}+(4x+18)^{o} =180^{o}\\ \\ 8x+30 ^{o}+ 4x+18 ^{o} =180^{o}\\ \\12x +48^{o}=180^{o} \ \ |-48^{o}\\ \\12x +48^{o}-48^{o}=180^{o}-48^{o}\\ \\12x= 132^{o}\ \ /:12\\ \\x=\frac{132^{o}}{12}\\ \\x=11^{o} \\ \\ \\ Answer : C. 11$

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Burka [1]

Answer:

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Step-by-step explanation:

Given : In the figure attached, Length of girl EC = 4 ft

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To Find : Rate ( $\frac{dw}{dt}$ ) of the tip (D) of the girl's shadow (BD) moving away from th

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Length of the shadow CD is = y feet

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In the figure attached, ΔAFE and ΔADE are similar.

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$\frac{x}{21}=\frac{x+y}{25}$

25x = 21(x + y)

25x = 21x + 21y

25x - 21x = 21y

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y = $\frac{4x}{21}$

Now we take the derivative on both the sides,

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Therefore, $\frac{dw}{dt}= \frac{dx}{dt}+\frac{dy}{dt}$

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