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olchik [2.2K]
3 years ago
5

Phil is riding his bike. he rides 50 miles in 4 hours, 62.5 miles in 5 hours, and 75 miles in 6 hours. find the constant of prop

ortionality and write an equation to describe the situation. let x represent the number of hours.
Mathematics
2 answers:
Tems11 [23]3 years ago
4 0
12.5(x)
x = hours
12.5 = per hour
Elanso [62]3 years ago
3 0
50:4=12.5 per hour.
How we can be sure for 5 hours.
5×12.5=62.5 the anwser is correct.
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<h2>a) Select all that apply</h2>

\overline{LL'}, \ \overline{MM'} \ and \ \overline{NN'}<em> are each perpendicular to the line of reflection</em>

<em></em>

This option is the only one that is correct. The line of reflection is  y=-1. When we talk about reflection, we are talking about reflecting across a line, or axis. Reflecting a shape means looking at the mirror image on the other side of the axis. So in this case, this mirror is the line of reflection.  As you can see, these three segments \overline{LL'}, \ \overline{MM'} \ and \ \overline{NN'}<em> </em>form a right angle at the point each segment intersects the line y=-1.

<h2>b) Find each length</h2>

Since the line y=-1 is an axis that allows to get a mirror image, therefore it is true that:

\overline{LS}=\overline{L'S} \\ \\ \overline{MT}=\overline{M'T} \\ \\ \overline{NU}=\overline{N'U}

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\overline{LS}=\overline{L'S}=3 \ units \\ \\ \overline{MT}=\overline{M'T}=6 \ units \\ \\ \overline{NU}=\overline{N'U}=4 \ units

<h2>c) Correct Statement</h2>

<em>The line of reflection is the perpendicular bisector of each segment joining a point and its image. </em>

<em />

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