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dlinn [17]
3 years ago
5

Copy DEF to the line so that S is the vertex. This task will be complete when you have constructed an angle with vertex S that i

s congruent to DEF​
PLEASE HELP ASAP

Mathematics
1 answer:
tino4ka555 [31]3 years ago
4 0

Explanation:

There are numerous videos and web sites that can show you the process of copying an angle. Some are animated. The best we can do here is show you a diagram with instructions. Of course, your curriculum materials already provide that.

__

1. Set the compass to a convenient radius. Use that to draw an arc through rays ED and EF, using point E as the center.

2. Without changing the compass setting, draw a similar arc using S as the center, making sure it crosses the line containing S and extends far enough to accommodate the following steps. (In the attached, we show a full circle, because the tool we used won't draw an arc with a specific radius.)

3. Mark the points where the arc crosses ED as G, and where it crosses EF as H. Mark the point where the arc crosses the line containing S as I.

4. Set the compass radius to the distance GH. Using I as the center draw an arc with that radius so that it crosses the one made in step 2. Call that intersection point J. (Again, we have shown a circle because of the limitations of the tool being used for our diagram.)

5. Draw ray SJ to complete the angle copy.

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The given costs for the different combinations of tickets of $132, $201, and $88, finding the solution for the system gives;

The cost of a children's ticket = $63

The cost of an ticket = $(-19)

The cost of a senior ticket = $44

<h3>How can the system of equations be found?</h3>

Let <em>x </em>represent the cost of children tickets, <em>y </em>represent the cost of adult tickets and let<em> </em><em>z </em>represent the cost of senior tickets.

The following system of equations can be obtained

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Therefore;

2•x + 2•y + z = 132

88 + z = 132

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Therefore;

The cost of a senior ticket, <em>z </em>= $44

Multiplying equation (3) by 2 and subtracting equation (2) from the result gives;

2×(2•x+2•y) - (3•x+4•y+2•z) = x-2•z

2 × 88 - 201 = -25

Therefore;

x - 2•z = -25

x = 2•z - 25

Which gives;

  • x = 2 × 44 - 25 = 63

The cost of a children ticket, <em>x </em>= $63

From equation (3), we have;

2•x + 2•y = 88

2•y = 88 - 2×63

  • y = (88 - 2×63) ÷ 2 = -19

The cost of an adult ticket, <em>y </em>= $(-19)

Learn more about solving simultaneous equations here:

brainly.com/question/15165519

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