nuccioreggie
  • nuccioreggie
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Mathematics
  • Stacey Warren - Expert brainly.com
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schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
nuccioreggie
  • nuccioreggie
The graph shows the depth, y, in meters, of a shark from the surface of an ocean for a certain amount of time, x, in minutes: A graph titled Distance Vs. Time is shown. The x axis is labeled Time in minutes and shows numbers 0, 1, 2, 3, 4, 5. The y axis is labeled Distance from Ocean Surface in meters. A straight line joins the points C at ordered pair 0,63, B at ordered pair 1, 105, A at ordered pair 2, 147, and the ordered pair 3,189. Part A: Describe how you can use similar triangles to explain why the slope of the graph between points A and B is the same as the slope of the graph between points A and C. (4 points) Part B: What are the initial value and slope of the graph, and what do they represent? (6 points)
nuccioreggie
  • nuccioreggie
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nuccioreggie
  • nuccioreggie
@Michele_Laino

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Michele_Laino
  • Michele_Laino
I consider your drawing: |dw:1447437891294:dw|
Michele_Laino
  • Michele_Laino
now, if we look at the two little triangles, then we can write this: \[\frac{{BM}}{{CM}} = \frac{2}{1},\quad \frac{{AN}}{{BN}} = \frac{2}{1}\] furthermore, angles ANB and BCM are congruent each other, so using the SAS criterion, we can say that both triangles CMB and BNA are....?
nuccioreggie
  • nuccioreggie
ok so can you explain the answer for prt A and B
Michele_Laino
  • Michele_Laino
please note that what I have written before, is an explanation for part A
nuccioreggie
  • nuccioreggie
ok please dont leave i will brb
Michele_Laino
  • Michele_Laino
are the triangles CMB and BNA similar each other?
nuccioreggie
  • nuccioreggie
@Michele_Laino im back can you come back and help me now please
Michele_Laino
  • Michele_Laino
please read what I have written before
Michele_Laino
  • Michele_Laino
you have to count the little squares into your drawing
nuccioreggie
  • nuccioreggie
is that the answer for part A above???
Michele_Laino
  • Michele_Laino
yes!
Michele_Laino
  • Michele_Laino
It is the reasoning that we have to do in order to get the corresponding answer
nuccioreggie
  • nuccioreggie
so whats B
Michele_Laino
  • Michele_Laino
for part B. the initial value is the \(y-\) coordinate of point \(C\)
nuccioreggie
  • nuccioreggie
so wait the answer for part A is BMCM=21,ANBN=21
Michele_Laino
  • Michele_Laino
the answer to part A. is not a value. Part A asks to you to give a reasoning
nuccioreggie
  • nuccioreggie
angles ANB and BCM are congruent each other, so using the SAS criterion, we can say that both triangles CMB and BNA are.non congruent so that the answer for part A ^?
Michele_Laino
  • Michele_Laino
triangles CMB an BNA are congruent, by the SAS criterion
nuccioreggie
  • nuccioreggie
so thats part A
nuccioreggie
  • nuccioreggie
?
Michele_Laino
  • Michele_Laino
more precisely I have to consider the subsequent triangles: |dw:1447440725879:dw| namely the orange triangle CMB and the green triangle CNA
Michele_Laino
  • Michele_Laino
|dw:1447440835563:dw|
Michele_Laino
  • Michele_Laino
we can say that triangles CMB and CNA are similar each other, since if you count the little square of your drawing, you will find this quantities: \[\Large \frac{{BM}}{{CN}} = \frac{2}{1},\quad \frac{{AN}}{{CN}} = \frac{4}{2}\] namely the corresponding sides are proportional each other
nuccioreggie
  • nuccioreggie
triangles CMB an BNA are congruent, by the SAS criterion is that for part A
Michele_Laino
  • Michele_Laino
furthermore angles BMC and ANC are 90 degrees both, so they are congruent
Michele_Laino
  • Michele_Laino
please, we have to consider triangles CMB and CNA
Michele_Laino
  • Michele_Laino
and we can say that triangle CMB and CNA are similar for SAS criterion
Michele_Laino
  • Michele_Laino
triangles*
nuccioreggie
  • nuccioreggie
ok so can you write the answer for part A im confused
Michele_Laino
  • Michele_Laino
so the common ratio:\[\frac{{BM}}{{CN}} = \frac{{AN}}{{CN}} = 2\] represents the slope of the line
nuccioreggie
  • nuccioreggie
ok so BMCN=ANCN=2 is the answer?
Michele_Laino
  • Michele_Laino
In other words, we can speak about a slope of the line, since the two triangles CMB and CNA are similar each other
Michele_Laino
  • Michele_Laino
a possible answer can be this: "Since the two triangles CMB and CNA are similar each other, than there is a unique value for the ratios \[\frac{{BM}}{{CN}},\quad \frac{{AN}}{{CN}}\] and such value is the slope of the line along the points \(C,B,A\)"
nuccioreggie
  • nuccioreggie
ok thats for A and what for B? this the initial value is the y− coordinate of point C
Michele_Laino
  • Michele_Laino
yes! what is the \(y-\) coordinate of \(C\)?
nuccioreggie
  • nuccioreggie
63?
Michele_Laino
  • Michele_Laino
correct!

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