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guajiro [1.7K]
3 years ago
6

Sam draws three pairs of vertical angles and measures them. What is a reasonable conjecture for Sam to make by recognizing a pat

tern and using inductive reasoning?
a) Vertical angles are supplementary.
b) Vertical angles are congruent.
c) Vertical angles are complementary.
d) Vertical angles are acute.

Mathematics
2 answers:
Lunna [17]3 years ago
6 0

Answer:

B

Step-by-step explanation:

52=52

100=100

72=72

therefore b) Vertical angles are congruent. is the answer to go with

pshichka [43]3 years ago
4 0
The answer is b. hope that helps
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Answer:

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Step-by-step explanation:

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3 years ago
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Mashutka [201]

Answer:

\begin{equation}
\sqrt{3}-1,2 \sqrt{10} \div 5, \sqrt{14}, 3 \sqrt{2}, \sqrt{19}+1,6
\end{equation}

Explanation:

Given the irrational numbers:

$3 \sqrt{2}, \sqrt{3}-1, \sqrt{19}+1,6$, $2 \sqrt{10} \div 5,\sqrt{14}$

In order to arrange the numbers from the least to the greatest, we convert each number into its decimal equivalent.

\begin{gathered} 3\sqrt{2}=3\times1.414\approx4.242 \\ \sqrt{3}-1\approx1.732-1=0.732 \\ \sqrt{19}+1\approx4.3589+1=5.3589 \\ 6=6 \\ 2\sqrt{10}\div5=2(3.1623)\div5=1.2649 \\ \sqrt{14}=3.7147 \end{gathered}

Finally, sort these numbers in ascending order..

\begin{gathered} \sqrt{3}-1\approx1.732-1=0.732 \\ 2\sqrt{10}\div5=2(3.1623)\div5=1.2649 \\ \sqrt{14}=3.7147 \\ 3\sqrt{2}=3\times1.414\approx4.242 \\ \sqrt{19}+1\approx4.3589+1=5.3589 \\ 6=6 \end{gathered}

The given numbers in ascending order is:

\begin{equation}
\sqrt{3}-1,2 \sqrt{10} \div 5, \sqrt{14}, 3 \sqrt{2}, \sqrt{19}+1,6
\end{equation}

Note: In your solution, you can make the conversion of each irrational begin on a new line.

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1 year ago
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Answer:

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Step-by-step explanation:

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