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adoni [48]
3 years ago
8

1. Solve for x* 8 7.5

Mathematics
1 answer:
Ket [755]3 years ago
8 0

Answer:

x = 3  

Step-by-step explanation:

\begin{array}{rcll }\dfrac{x}{8} & = & \dfrac{7.5}{20} &\\\\x & = & 8\times \dfrac{7.5}{20}&\text{Multiplied each side by 8}\\\\ & = & \dfrac{60}{20} & \text{Simplified}\\\\ & = & \mathbf{3} & \text{Cancelled the 20s}\\\end{array}

Check:

\begin{array}{rcl}\dfrac{3}{8} & = & \dfrac{7.5}{20 }\\\\0.375 & = & 0.375\\\end{array}

It checks.

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Margarita [4]

<u>Answer</u><u> </u><u>:</u><u>-</u>

9(3+√3) feet

<u>Step </u><u>by</u><u> step</u><u> explanation</u><u> </u><u>:</u><u>-</u>

A triangle is given to us. In which one angle is 30° and length of one side is 18ft ( hypontenuse) .So here we can use trignometric Ratios to find values of rest sides. Let's lable the figure as ∆ABC .

Now here the other angle will be = (90°-30°)=60° .

<u>In ∆ABC , </u>

=> sin 30 ° = AB / AC

=> 1/2 = AB / 18ft

=> AB = 18ft/2

=> AB = 9ft .

<u>Again</u><u> </u><u>In</u><u> </u><u>∆</u><u> </u><u>ABC</u><u> </u><u>,</u><u> </u>

=> cos 30° = BC / AC

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=> BC = 18 * √3/2 ft

=> BC = 9√3 ft .

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2 years ago
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Leno4ka [110]

Answer:

x = 18

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Step-by-step explanation:

The parallel lines are cut by a transversal, so corresponding angles A and B are congruent.

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