3(2x-5)+2 8(3x-6) for x=5

Mathematics

1 answer:

Vesna [10]3 years ago

6 0

All you needed to do was plug in 5 into C

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Lines x and y intersect to make two pairs of vertical angles, q, s and r, t. Fill in the blank space in the given proof to prove

bonufazy [111]

Answer:

C) Subtraction property of equality.

Step-by-step explanation:

Given that, two lines $x$ and $y$ intersect to make pairs of vertical angles:

$\angle q, \angle s$ and $\angle r, \angle t$ .

Kindly refer to the attached image for details of the given angles and lines.

Proof that $\angle q\cong \angle s$ :

$\begin{center}\begin{tabular}{ c c}Statements & Reasons \\ m\angle q+m\angle r=180^\circ & \angle q\ and\ \angle r\ are\ supplementary \\ m\angle r+m\angle s=180^\circ & \angle r\ and\ \angle s\ are\ supplementary \\ \angle q+\angle r=\angle q+\angle r & Algebraic substitution \\ m\angle q = m\angle s & Subtraction property of equality\end{tabular}\end{center}$

Here, subtraction property of equality is used in the last step shown in the above.

As per the <em>Subtraction property </em>of equality, when some value is subtracted from both the sides of the equality, equality remains the same.