Find the values of $$ x $$ and $$ y $$ if the sides of an equilateral triangle are $$ 4,2 x $$ and $$ 2 y-1 $$. $$ x=2, y=3 $$ $$ x=2, y=2.5 $$ $$ x=4, y=2 $$ $$ x=4, y=2.5 $$

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UpStudy AI · Accepted Answer

To find the values of $$ x $$ and $$ y $$ for the sides of the equilateral triangle, we need to set the three sides equal to each other since all sides of an equilateral triangle are equal.

The sides of the triangle are given as:
1. $$ 4 $$
2. $$ 2x $$
3. $$ 2y - 1 $$

We can set up the following equations based on the equality of the sides:

1. $$ 4 = 2x $$
2. $$ 4 = 2y - 1 $$

Now, let's solve these equations step by step.

### Step 1: Solve for $$ x $$

From the first equation:
$$
4 = 2x
$$
Dividing both sides by 2:
$$
x = \frac{4}{2} = 2
$$

### Step 2: Solve for $$ y $$

From the second equation:
$$
4 = 2y - 1
$$
Adding 1 to both sides:
$$
5 = 2y
$$
Dividing both sides by 2:
$$
y = \frac{5}{2} = 2.5
$$

### Conclusion

The values of $$ x $$ and $$ y $$ are:
$$
x = 2, \quad y = 2.5
$$

Thus, the correct answer is $$ x=2, y=2.5 $$.
$$ x=2 $$ and $$ y=2.5 $$

Find the values of and if the sides of an equilateral triangle are and .

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