Question
Question 3 (1 point) An equilateral triangle has an angle represented by the expression \( 15 x-33 \). What is the value of \( x \) ? Answer as a decimal rounded to the nearest hundredth if not an integer.
Ask by Frazier Hamilton. in the United States
Nov 25,2024
Real Tutor Solution
Tutor-Verified Answer
Answer
The value of \( x \) is 6.20.
Solution
In an equilateral triangle, all angles are equal and each angle measures \( 60^\circ \).
We are given that one angle is represented by the expression \( 15x - 33 \). To find the value of \( x \), we can set up the equation:
\[
15x - 33 = 60
\]
Now, we will solve for \( x \):
1. Add 33 to both sides:
\[
15x = 60 + 33
\]
\[
15x = 93
\]
2. Divide both sides by 15:
\[
x = \frac{93}{15}
\]
3. Calculate the division:
\[
x = 6.2
\]
Thus, the value of \( x \) is \( \boxed{6.20} \).
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Mind Expander
In an equilateral triangle, each angle measures 60 degrees. So, we can set up the equation: \[ 15x - 33 = 60 \] Now, adding 33 to both sides gives us: \[ 15x = 93 \] Next, dividing both sides by 15 results in: \[ x = \frac{93}{15} = 6.2 \] So, the value of \( x \) is 6.20.