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Rom4ik [11]
2 years ago
12

Solve the literal equation for x. y=5x-rx-5

Mathematics
1 answer:
Alchen [17]2 years ago
7 0

Answer:

x = \frac{y+5}{(5-r)}

Step-by-step explanation:

Given the literal equation, y = 5x - rx - 5,

In order to solve for x, start by adding 5 on both sides of the equation:

y + 5 = 5x - rx - 5 + 5

y + 5 = 5x - rx

Next, factor out x from the right-hand side of the equation:

y + 5 = x(5 - r)

Finally, divide both sides by (5 - r) to isolate x:

\frac{y+5}{(5-r)} =  \frac{x(5 - r)}{(5-r)}

\frac{y+5}{(5-r)} =  x

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"How are we ever going to build this bridge?" asks Omkar looking out across the raging river.
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Answer:

The distance across the river from Omkar to the big rock is 72 meters.

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Using the given information draw as triangle as shown below.

According to angle sum property, the sum of interior angles of a triangle is 180°.

In triangle ABC,

\angle A+\angle B+\angle C=180^{\circ}

98^{\circ}+33^{\circ}+\angle C=180^{\circ}

131^{\circ}+\angle C=180^{\circ}

\angle C=180^{\circ}-131^{\circ}=49^{\circ}

The measure of angle C is 49°.

Sine formula:

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Using sine formula in triangle ABC, we get

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Therefore the distance across the river from Omkar to the big rock is 72 meters.

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3 years ago
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