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11Alexandr11 [23.1K]
3 years ago
7

Is there a method that could prove that these two triangles are similar?

Mathematics
1 answer:
dalvyx [7]3 years ago
4 0

Answer:

  A  Yes, a sequence of dilations and rigid motions carries one triangle onto the other

Step-by-step explanation:

Since two angles are marked with the same measures in each triangle, the triangles are similar by the AA postulate with no further action.

By some accounts it seems to be necessary to lay one figure on top of the other to demonstrate similarity. In order to do that, the smaller triangle would need to be dilated and translated (a rigid motion) to make it occupy the same space as the larger triangle.

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I think the first one or the thrid one 
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Wat is gcf of 18a and 20ab
nignag [31]
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3 years ago
Sylvia worked 3 hours and 45 minutes, while Paul worked 4 hours and 35 minutes. What’s the ratio of Sylvia’s work time to Paul’s
alexira [117]
Answer: 9 / 11

That is approximately 0.82


Explanation:

The ratio of two quantities x and y is x divided by y, i.e. the quotient x / y.

So, the ratio of Sylia's work time to Paul's work time is:

Sylvia's work time
---------------------------
Paul's work time

Given that you have the times in mixed units, hours and minutes, you must convert to one of the, either hours or minutes.

If you choose to work with hours, this is the work:

1) Silvia's time: 3 hours and 45 minutes = 3 hours + 45 / 60 hours = 3hours + 0.75 hours = 3.75 hours

2) Paul's work time: 4 hours and 35 minutes = 4 hours + 35/60 hours = 4 hours + 7/12 hours = (48+7)/12 = 55/12 hours ≈ 4.58 hours

3) Ratio:

Sylvia's work time             3.75 hours            3.75*12         45          9
------------------------- =      --------------------- = ---------------- =  -------- =   -----
Paul's work time               (55/12) hours            55              55         11

≈ 0.82

You can calculate the ratio using minutes and shall obtain the same result. Look:

1) 3 hours + 45 minutes = 3 * 60  minutes + 45 minutes = 180 minutes + 45 minutes = 225 minutes

2) 4 hours + 35 minutes = 4*60 minutes + 35 minutes = 240 minutes + 35 minutes = 275 minutes

3)

225 minutes          9
----------------- =     ------, which is the same result obtained above.
275 minutes         11
3 0
3 years ago
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<h3>What is the area of a triangle?</h3>

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height = 4 - 2 = 2 units

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Thus, the area of the triangle is 4 units²

Learn more about a triangle here:

brainly.com/question/1475130

#SPJ1

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