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ANEK
1 month ago
6

Which statement correctly names the congruent triangles and justifies the reason for congruence? ΔABC ≅ ΔFDE by HL ΔABC ≅ ΔFED b

y SAS ΔABC ≅ ΔDEF by HL ΔABC ≅ ΔDEF by SAS Thank you!

Mathematics
1 answer:
zzz [12.3K]1 month ago
3 0

Answer: The triangles ΔABC and ΔFED are congruent by the SAS criterion

Step-by-step explanation:

Examining the provided diagram,

it is noted that Side AC is equal to Side DF at 3.2

and Side AB matches Side FE at 4 units

with Angle A equal to angle F at 72 degrees

As two sides and the angle between them are equal, triangle FED is congruent to triangle ABC by SAS (side-angle-side)

This allows for the following ratio

AB/FE = AC/DF

The HL specification refers to the hypotenuse leg. This does not apply, as these are not right triangles.

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Use this information to find the value of b.<br><br><br>c = 25<br><br>s = 9<br><br><br>b = 4c - s2
PIT_PIT [12445]
Greetings!

Let's rewrite the equation:
b = 4c - s².
Plug in your values:
b = 4(25) - (9)²
Now simplify:
4 times 25 equals 100
9 squared equals 81
So, b = 100 - 81
Calculate:
100 minus 81 equals 19
b is 19.

I hope this helps!
<span>Best of luck:) </span>

<span>- Hannah ❤</span>
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2 months ago
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1 month ago
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44 hours multiplied by $9 per hour equals $396.00.

It's really quite straightforward to calculate. Wishing you a great day!

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