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Svet_ta [14]
3 years ago
14

Joel has a summer job cutting lawns. The relationship between his profit, P , in dollars and the

Mathematics
1 answer:
mote1985 [20]3 years ago
5 0

Answer:

There is a direct relationship between the profit P and the number of lawns cut

The initial value is (0,-100)

Step-by-step explanation:

Firstly, we want to know the type of variation that is between the profit and the number of lawns.

Now, looking at the graph, we can see that as the number of lawns increase, there is a corresponding increase in the profit causing a sharp rise in the graph.

What this represents is that there is a direct relationship between the two quantities.

Now, we are told to get the initial value.

Looking at the plot, we can see that the number of lawns is the x axis while the profit is the y axis

The initial value is that point at which we have the graph intersecting the y-axis which is below the x-axis

This point is the point (0,-100)

This point gives the initial value of the relationship

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CAN SOMEONE PLEASE PLEASE PLEASE HELP ME, YOU’LL GET FREE EASY POINTS IF YOU GIVE ME THE RIGHT ANSWER !!
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Answer:

  1. reflection across BC
  2. the image of a vertex will coincide with its corresponding vertex
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Step-by-step explanation:

We want to identify a rigid transformation that maps congruent triangles to one-another, to explain the coincidence of corresponding parts, and to identify the theorems that show congruence.

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<h3>1.</h3>

Triangles GBC and ABC share side BC. Whatever rigid transformation we use will leave segment BC invariant. Translation and rotation do not do that. The only possible transformation that will leave BC invariant is <em>reflection across line BC</em>.

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<h3>2.</h3>

In part 3, we show ∆GBC ≅ ∆ABC. That means vertices A and G are corresponding vertices. When we map the congruent figures onto each other, <em>corresponding parts are coincident</em>. That is, vertex G' (the image of vertex G) will coincide with vertex A.

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<h3>3.</h3>

The markings on the figure show the corresponding parts to be ...

  • side AB and side GB
  • side AC and side GC
  • angle ABC and angle GBC
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And the reflexive property of congruence tells us BC corresponds to itself:

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There are four available congruence theorems applicable to triangles that are not right triangles

  • SSS -- three pairs of corresponding sides
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  • ASA -- two corresponding angles and the side between
  • AAS -- two corresponding angles and the side not between

We don't know which of these are in your notes, but we do know that all of them can be used. AAS can be used with two different sides. SAS can be used with two different angles.

SSS

  Corresponding sides are listed above. Here, we list them again:

  AB and GB; AC and GC; BC and BC

SAS

  One use is with AB, BC, and angle ABC corresponding to GB, BC, and angle GBC.

  Another use is with BA, AC, and angle BAC corresponding to BG, GC, and angle BGC.

ASA

  Angles CAB and CBA, side AB corresponding to angles CGB and CBG, side GB.

AAS

  One use is with angles CBA and CAB, side CB corresponding to angles CBG and CGB, side CB.

  Another use is with angles CBA and CAB, side CA corresponding to angles CBG and CGB, side CG.

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