Answered

Westonci.ca is the premier destination for reliable answers to your questions, brought to you by a community of experts. Ask your questions and receive detailed answers from professionals with extensive experience in various fields. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

In circle U m ∠TUs=107. Solve for x if m TS = (3x+39). If necessary round your answer to the nearest tenth

In Circle U M TUs107 Solve For X If M TS 3x39 If Necessary Round Your Answer To The Nearest Tenth class=

Sagot :

Answer:

x=22.7

Explanation:

In the circle:

• m∠TUS=107°

,

• The measure of arc TS = (3x+39)°

In a circle:

Therefore:

[tex]\begin{gathered} m\widehat{TS}=m\angle TUS \\ \implies3x+39=107\degree \end{gathered}[/tex]

We solve the equation for x:

[tex]\begin{gathered} \text{ Subtract 39 from both sides} \\ 3x+39-39=107-39 \\ 3x=68 \\ \text{ Divide both sides by 3} \\ \frac{3x}{3}=\frac{68}{3} \\ x\approx22.7\degree \end{gathered}[/tex]

The value of x is 22.7 (correct to the nearest tenth).

Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.