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Georgia [21]
3 years ago
5

What coordinate for F would make triangle ABC and triangle DEF congruent? (The file of the image is attached!)

Mathematics
2 answers:
DerKrebs [107]3 years ago
5 0
(-2,-3) would make these two triangles congruent.

If you look at the slope of line DE, you see it has a -1 slope.
Line BA also has a -1 slope.
So line AC = line FE and line BC = line FD

The slope of AC is 3
The slope of BC is 1/3
Two possible points for F are (2,1) and (-2,-3)
Since (2,1) is not an option, C. (-2,-3) is your answer.
mamaluj [8]3 years ago
4 0
(-2,-3) The x and y coordinates are the opposites of the original shape's coordinates.

Ex) Point B matches up with Point E. Point B coordinates are (-1,2). And Point E coordinates are (1,-2). opposite of -1 is 1 and opposite of 2 is -2.
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2 years ago
Find the sum of 3.8 + (-2.9)
MakcuM [25]

Answer:

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6 0
2 years ago
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Wewaii [24]

Answer:

6.7 cm

Step-by-step explanation:

To make use of the Law of Sines for finding b, you need to know the missing angle B. Since the sum of the angles of a triangle is 180°, you can find angle B as ...

B = 180° -82° -55° = 43°

Now, you put the numbers you know into the formula given and solve for b.

sin(A)/a = sin(B)/b

sin(55°)/(8 cm) = sin(43°)/b

Cross multiplying gives ...

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and dividing by the coefficient of b gives you ...

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4 0
3 years ago
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What is the solution to this equation?
Vinvika [58]

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