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Andrew [12]
2 years ago
7

In Jaden’s yard, there is a triangular garden patch. He wants to plant a geranium in the patch at a point equidistant from all i

ts vertices. Where should Jaden plant the geranium?
A) in the center of the inscribed circle of the triangle

B) in the center of the circumscribed circle of the triangle

C) at the point of intersection of the angle bisectors of the triangle

D) at the point of intersection of an angle bisector and a perpendicular bisector of the triangle
Mathematics
1 answer:
Viktor [21]2 years ago
4 0
C
The construction described creates the incenter of the circle and this point is equidistant from all vertices of a triangle.
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3 years ago
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3 0
3 years ago
PLEASE HELP!!!
Novosadov [1.4K]
\bf \qquad \qquad \textit{sum of an infinite geometric serie}
\\\\
S_n=\sum\limits_{i=1}^{\infty}\ a_1\cdot r^{i-1}\implies S=\cfrac{a_1}{1-r}\quad 
\begin{cases}
a_1=\textit{first term's value}\\
r=\stackrel{0\ \textless \ |r|\ \textless \ 1}{\textit{common ratio}}
\end{cases}

\bf \sum\limits_{n=1}^{\infty}~3\left(\frac{1}{4}  \right)^{n-1}~~
\begin{cases}
a_1=3\\
r=\frac{1}{4}
\end{cases}\implies S=\cfrac{3}{1-\frac{1}{4}}\implies S=\cfrac{\quad 3\quad }{\frac{3}{4}}
\\\\\\
S=\cfrac{\underline{3}}{1}\cdot \cfrac{4}{\underline{3}}\implies S=4
7 0
3 years ago
Read 2 more answers
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