Mathematics
17.06.2023 01:21
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In the diagram of the park, adf~ bcf. the crosswalk at point a is about 20 yd long.

In the diagram of the park, adf~ bcf. the crosswalk at point a is about 20 yd long. a bridge across the pond will be built, from point b to point c. what will the length of the bridge be?
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brittsterrr
brittsterrr
4,7(14 marks)
Since the 2 triangles are similar, their sides are proportional.
You also know AD is 20 yards, since it tells you that is the crosswalk length at A.
So the proportion is :
50 / 120 = 20 / BC
Or
if you flip it over,
120 / 50 = BC / 20
Β Then you can solve for BC.
120 / 50 = BC / 20
(20)(120/50) = BC
BC = 48
walkerobrien5
walkerobrien5
4,4(40 marks)

The approximate side length of the segment WX is given by \left[\begin{array}{ccc}2\\4.12\\4.47\\5\end{array}\right]

The approximate side length of the segment XY is given by \left[\begin{array}{ccc}2\\4.12\\4.47\\5\end{array}\right]

The approximate side length of the segment YZ is given by \left[\begin{array}{ccc}2\\4.12\\4.47\\5\end{array}\right]

The approximate side length of the segment ZW is given by \left[\begin{array}{ccc}8\\2.11\\1.59\\0.59\end{array}\right]

The approximate perimeter of quadrilateral WXYZ is \left[\begin{array}{ccc}14\\14.47\\15\\15.59\end{array}\right]

Step-by-step explanation:

The perimeter of a figure is the distance around a two dimensional body. In other words we can think perimeter as the distance of a body's boundary.

To find the approximate perimeter of the quadrilateral, all we need to do is to add its respective lengths.

Thus here the sum of its side length gives us the perimeter of the quadrilateral WXYZ.

The approximate perimeter of quadrilateral WXYZ is \left[\begin{array}{ccc}14\\14.47\\15\\15.59\end{array}\right]

The approximate side length of the segment WX is given by \left[\begin{array}{ccc}2\\4.12\\4.47\\5\end{array}\right]

The approximate side length of the segment XY is given by \left[\begin{array}{ccc}2\\4.12\\4.47\\5\end{array}\right]

The approximate side length of the segment YZ is given by \left[\begin{array}{ccc}2\\4.12\\4.47\\5\end{array}\right]

Total sum of lengths of the three sides of WXYZ is given by \left[\begin{array}{ccc}6\\12.36\\13.41\\15\end{array}\right]

Therefore the value of the other side ZW is given by

\left[\begin{array}{ccc}14\\14.47\\15\\15.59\end{array}\right] - \left[\begin{array}{ccc}6\\12.36\\13.41\\15\end{array}\right] = \left[\begin{array}{ccc}8\\2.11\\1.59\\0.59\end{array}\right].

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