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kirill [66]
3 years ago
12

Determine if the triangles are congruent. If they are, state how you know.

Mathematics
2 answers:
hram777 [196]3 years ago
6 0

Answer:

1 - SSS

Step-by-step explanation:

We need either two sides one angle, two angles one side, or three sides to prove congruency. In this case we have 3 sides so therefore this is congruent by the SSS theorem.

vampirchik [111]3 years ago
3 0

Answer:

SSS

Step-by-step explanation:

They are congruent, you can tell by the 'tick marks'.

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2 years ago
After triangle ACE is dilated by a factor of 6, it has an area of 180 square inches. What was its area before dilation?
Agata [3.3K]

Answer:

The area of triangle ACE before dilation is:  30 square inches

Step-by-step explanation:

We know that when an object is dilated by a scale factor, it gets reduced, stretched, or remains the same, depending upon the value of the scale factor.

  • If the scale factor > 1, the image is enlarged
  • If the scale factor is between 0 and 1, it gets shrunk
  • If the scale factor = 1, the object and the image are congruent

The length of the image can be determined by multiplying the length of the original point by a certain scale factor.

Given that after triangle ACE is dilated by a factor of 6, it has an area of 180 square inches.

Thus, it means the dilated area is 6 times the area before dilation.

Let x be the pre-dilation area

As the dilated area is 6 times the area before dilation, so

6x = 180

divide both sides by 6

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x = 30 square inches.

Therefore, the area of triangle ACE before dilation is:  30 square inches

4 0
3 years ago
Which expression gives the determinant of the matrix
BartSMP [9]

If the matrix is of 2 by 2 then we can find the determinant of the matrix.

\begin{bmatrix}a & b\\ c & d\end{bmatrix}

Then (ad - bc ) gives you the determinant of the matrix.

For example,

\begin{bmatrix} 2 & 4\\  1 & -2 \end{bmatrix}

= (2)(-2) - (1)(4)

= - 4 - 4

\begin{bmatrix} 2 & 4\\  1 & -2 \end{bmatrix} = -8



3 0
3 years ago
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Answer:

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Step-by-step explanation:

The fastest time is the smallest time since they ran the same distance

gene ran 90 meters in 16.3 seconds.

alma ran 90 meters in 17.2 seconds

16.3 < 17.2

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7 0
1 year ago
Are 0.6600 and 0.66 equivalent decimals?<br> yes<br> no
malfutka [58]

Answer:

Yes.

Step-by-step explanation:

0.66 is 0.6600.

7 0
2 years ago
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