Answered

Get personalized answers to your unique questions on IDNLearn.com. Our platform is designed to provide reliable and thorough answers to all your questions, no matter the topic.

Solve for [tex]\( x \)[/tex].

Since the angles are congruent, we can set their equations equal to each other.

[tex]\[
\begin{aligned}
3x + 2 & = x + 28 \\
3x - x + 2 & = 28 \\
2x + 2 & = 28 \\
2x & = 26 \\
x & = 13
\end{aligned}
\][/tex]

Sagot :

GinnyAnsweridn
To solve the equation for [tex]\( x \)[/tex], we will follow a step-by-step approach:

1. Start with the given equation:
[tex]\[ 3x + 2 = x + 28 \][/tex]

2. Isolate the [tex]\( x \)[/tex]-terms on one side. To do this, subtract [tex]\( x \)[/tex] from both sides of the equation:
[tex]\[ 3x - x + 2 = x - x + 28 \][/tex]
Simplifying this:
[tex]\[ 2x + 2 = 28 \][/tex]

3. Isolate the constant term on the other side. To do this, subtract 2 from both sides of the equation:
[tex]\[ 2x + 2 - 2 = 28 - 2 \][/tex]
Simplifying this:
[tex]\[ 2x = 26 \][/tex]

4. Solve for [tex]\( x \)[/tex] by dividing both sides by 2:
[tex]\[ x = \frac{26}{2} \][/tex]
Simplifying this division:
[tex]\[ x = 13 \][/tex]

Thus, the solution for [tex]\( x \)[/tex] is:
[tex]\[ x = 13 \][/tex]
Thank you for being part of this discussion. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. IDNLearn.com is your source for precise answers. Thank you for visiting, and we look forward to helping you again soon.