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lisabon 2012 [21]
2 years ago
8

X/30 + X/40= 1 Solve for x

Mathematics
2 answers:
Svetllana [295]2 years ago
4 0

Answer:

17 1/7 I think

Step-by-step explanation:

slega [8]2 years ago
4 0

x=17.1

Step-by-step explanation:

\frac{x}{30}  +  \frac{x}{40}  = 1 \\  \frac{3x + 4x}{120}  = 1 \\  \frac{7x}{120}  = 1 \\  \frac{7x}{120} = 1 \\ 7x = 120 \\ x =  \frac{120}{7}   \\ x =17.1

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If segment FD = 20 units and segment DE = 52 units, what is the value of b? Round the solution to the nearest hundredth.
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Answer:

b = 22.62^{o}

Step-by-step explanation:

Since the triangle is a right angled triangle, the appropriate trigonometric function can be applied to determine the value of b.

Thus, to determine the value of b;

Sin θ = \frac{opposite}{hypotenuse}

Sin b =  \frac{20}{52}

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⇒ b = Sin^{-1} 0.38462

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b = 22.62^{o}

The measure of angle E (= b) is 22.62^{o}.

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