3 years ago

Is it true true that two segments that have the same length must be congruent

Mathematics

1 answer:

Papessa [141]3 years ago

7 0

It is true that two segments that have the same length are congruent

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Answer:

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Step-by-step explanation:

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3 years ago

Given a circle with an area of 25 pi in^2 <br> What is the exact circumference?

Taya2010 [7]

Answer:

31.4

Step-by-step explanation:

C = 2πr OR C = πd

But, we need to find r first.

$A = \pi r^2\\25\pi = \pi r^2\\\sqrt{25} = \sqrt{r^2} \\r=5\\\\C=2\pi r\\C=2\pi (5)\\C= 10\pi \\C= 31.4$

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3 years ago

The coordinates of the endpoints of line segment C D are C(3, 8) and D(6, -1). Express the length of line segment C D in simples

8_murik_8 [283]

$\bf \textit{distance between 2 points}\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
C&({{ 3}}\quad ,&{{ 8}})\quad 
% (c,d)
D&({{ 6}}\quad ,&{{ -1}})
\end{array}\qquad 
d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2}
\\\\\\
CD=\sqrt{(6-3)^2+(-1-8)^2}\implies CD=\sqrt{3^2+(-9)^2}
\\\\\\
CD=\sqrt{9+81}\implies CD=\sqrt{90}\quad 
\begin{cases}
90=2\cdot 3\cdot 3\cdot 5\\
\qquad 2\cdot 3^2\cdot 5\\
\qquad 10\cdot 3^2
\end{cases}
\\\\\\
CD=\sqrt{10\cdot 3^2}\implies CD=3\sqrt{10}$