Question

Please help and thank you.

X=[?]

Answer 1

x = 6

Explanation:

Equilaterals are a type of triangle where all of the sides are congruent. The angles are also all equal.

Setting Up the Equation

As stated above, all of the sides are congruent. This means that the lines must be equal to which others. Since the sides are equal, we can set them equal to each other.

• AB = AC

Now, we can substitute the expressions in the equation.

• 22x - 33 = 7x +57

Solving the Equation

After we set up the equation, we can solve for x using the properties of equality. There are different orders in which this can be solved. So if you prefer to work in a different order, the answer should still be the same.

First, rewrite the equation

• 22x - 33 = 7x +57

Next, add 33 to both sides

• 22x = 7x + 90

Then, subtract 7x from both sides

• 15x = 90

Finally, divide both sides 15

• x = 6

This gives us our final answer of 6.

Checking the Answer

If you wanted to, you can check your answer by plugging 6 into the original equation.

• 22(6) - 33 = 7(6) + 57

Then solve the equation

• 99 = 99

Since both sides are equal, the answer must be correct.