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Basile [38]
3 years ago
10

Jon performs 3 transformations on a pentagon. First, he reflects it over the x-axis. Then, he translates it 3 units to the left

and 4 units up. Finally, he reflects the image over the line x = 1. Are the original and transformed images congruent? Justify your answer.
Mathematics
2 answers:
velikii [3]3 years ago
8 0

yes; Reflections and translations are rigid motions. Rigid motions preserve the size of the original image.


shusha [124]3 years ago
5 0
Reflection and translation do not change the dimensions (or angles) of the figure.

The original and transformed images are congruent.
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Explain the cyclin-dependent regulation<br>cell cycle<br>​
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Cyclins drive the events of the cell cycle by partnering with a family of enzymes called the cyclin-dependent kinases (Cdks). A lone Cdk is inactive, but the binding of a cyclin activates it, making it a functional enzyme and allowing it to modify target proteins.

hope this helps!

7 0
3 years ago
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If the points (2,7),(-3,3) and (5,1) are the vertices of a triangle ,find the length of the median drawn through the first verte
Bingel [31]

Answer:

  • \sqrt{26} units

Step-by-step explanation:

The median is the line segment connecting the vertex with the midpoint of the opposite side.

<u>The midpoint has coordinates:</u>

  • x = (-3 + 5)/2 = 2/2 = 1
  • y = (3 + 1)/2 = 4/2 = 2

<u>Use the distance formula to find the distance between points (2, 7) and (1, 2):</u>

  • <u />d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}
  • d=\sqrt{(1- 2)^2+(2-7)^2} =\sqrt{1+25} =\sqrt{26}
7 0
3 years ago
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Do the concepts of class​ limits, marks,​ cutpoints, and midpoints make sense for qualitative​ data? Explain your answer.
tatyana61 [14]
Class limits are the smallest and the largest data value that can go into a class.

Class marks are the midpoints of the classes. They are obtained by averaging the limits.

Cutpoints are<span> specified values used to sort continuous variables into discrete categories.

</span><span>Class Midpoint is the middle value of each data class.


For qualitative data, </span>c<span>utpoints and midpoints make​ sense, but class limits and marks do​ not, since qualitative data cannot be grouped using Limit grouping.

option D.
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3 0
4 years ago
What is the solution to this equation?<br> -1/5(x+1 1/4)=-2 1/2
lubasha [3.4K]

\large\displaystyle\text{$\begin{gathered}\sf -\frac{1}{5}\left(x+1\frac{3}{4}\right)=-2\frac{1}{2}    \end{gathered}$}

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\large\displaystyle\text{$\begin{gathered}\sf \bf{-4\left(x+\frac{4+3}{4}\right)=-10(2\times2+1)  } \end{gathered}$}

Add 4 and 3 to get 7.

\large\displaystyle\text{$\begin{gathered}\sf \bf{-4\left(x+\frac{7}{4}\right)=-10(2\times2+1)  } \end{gathered}$}

Use the distributive property to multiply −4 times x 4/7.

\large\displaystyle\text{$\begin{gathered}\sf \bf{-4x-4\times\left(\frac{7}{4}\right)=-10(2\times2+1)  } \end{gathered}$}

Multiply −4 by 4/7.

\large\displaystyle\text{$\begin{gathered}\sf \bf{-4x-7=10(2\times2+1) \ \ \to \ \ [Multiply \ 2\times2] }  \end{gathered}$}

\large\displaystyle\text{$\begin{gathered}\sf \bf{-4x-7=10(4+1) \ \ \to \ \ [Add] }  \end{gathered}$}

\large\displaystyle\text{$\begin{gathered}\sf \bf{-4x-7=10\times5 \ \ \to \ \ [Multiply] }  \end{gathered}$}

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Add 7 to both sides.

\large\displaystyle\text{$\begin{gathered}\sf \bf{-4x=-50+7 \ \ \to \ \ [Add] } \end{gathered}$}

\large\displaystyle\text{$\begin{gathered}\sf \bf{-4x=-43 } \end{gathered}$}

Divide both sides by −4.

\large\displaystyle\text{$\begin{gathered}\sf \bf{x=\frac{-43}{-4} } \end{gathered}$}

The fraction \bf{\frac{-43}{-4}} can be simplified to \bf{\frac{43}{4}} by removing the negative sign from the numerator and denominator.

\large\displaystyle\text{$\begin{gathered}\sf \bf{x=\frac{43}{4} } \end{gathered}$}

simplify

\large\displaystyle\text{$\begin{gathered}\sf \bf{x=10\frac{3}{4} \ \ \to \ \ \ Answer } \end{gathered}$}

<h2>{ Pisces04 }</h2>
8 0
2 years ago
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-6+4q+(-6q) help me with this expression please
UNO [17]

Answer:

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Step-by-step explanation:

Step 1: Rewrite expression

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Step 2: Combine like terms

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Step 3: Rearrange

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7 0
4 years ago
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