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posledela
3 years ago
5

A triangle has 3 sides that each equal 9 cm. What kind of triangle is it? A. right triangle B. scalene triangle C. equilateral t

riangle D. obtuse triangle
Mathematics
1 answer:
Lady_Fox [76]3 years ago
8 0
C. Equilateral Triangle - All of the sides are the same, which means its and equilateral triangle.
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Please help Find the measure of UT <br><br><br><br> 65° <br><br> 51° <br><br> 70° <br><br> 55°
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\huge\boxed{55^\circ}

First of all, we know that \angle Q=95^{\circ} because of its vertical angle. \angle Q is also equal to \dfrac{\widehat{RS}+\widehat{UT}}{2} because it's an interior angle.

\begin{aligned}\angle Q&=\frac{\widehat{RS}+\widehat{UT}}{2}\\95^\circ&=\frac{135^\circ+\widehat{UT}}{2}&&\qquad&&\textsf{Substitute in the known values.}\\190^\circ&=135^\circ+\widehat{UT}&&\qquad&&\textsf{Multiply both sides by $2$.}\\55^\circ&=\widehat{UT}&&\qquad&&\textsf{Subtract $135^\circ$ from both sides.}\\\widehat{UT}&=\boxed{55^\circ}&&\qquad&&\textsf{Switch the sides of the equation to show our answer.}\end{aligned}

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