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vodka [1.7K]
2 years ago
12

On a coordinate plane, 2 triangles are shown. Triangle A B C has points (negative 1, 1), (negative 4, 1) and (negative 1, 5). Tr

iangle L M N has points (1, negative 1), (1, negative 4), and (5, negative 1). Which best explains whether or not ΔABC ≅ ΔLMN? The figures are congruent because a 270° rotation about the origin and then a reflection over the x-axis will map ΔABC onto ΔLMN. The figures are congruent because a 180 rotation about the origin and then a reflection over the x-axis will map ΔABC onto ΔLMN. The figures are not congruent because point B corresponds with point N and point C corresponds with point M. The figures are not congruent because there is no rigid transformation or combination of rigid transformations that will map ΔABC onto ΔLMN.
Mathematics
2 answers:
Reptile [31]2 years ago
8 0

Answer:

The figures are congruent because a 270° rotation about the origin and then a reflection over the x-axis will map ΔABC onto ΔLMN.

Kruka [31]2 years ago
6 0

Answer:

A

Step-by-step explanation:

took the test

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A total of $150000 is invested in two funds paying 6.25% and 6% simple interest. If the total interest for the year is $9212.50,
Georgia [21]

Answer:

  • $85,000 at 6.25%
  • $65,000 at 6.00%

Step-by-step explanation:

Let x represent the amount invested at 6.25%. Then the total interest earned is ...

  0.0625x + 0.0600(150,000 -x) = 9212.50

  0.0025x = 212.50 . . . . . . subtract 9000, collect terms

  x = 212.50/0.0025 = 85,000

  150,000 - 85,000 = 65,000 . . . . amount invested at the lower rate

$85,000 is invested at 6.25%; $65,000 is invested at 6%.

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2 years ago
James folds a piece of paper in half several times,each time unfolding the paper to count how many equal parts he sees. After fo
Snezhnost [94]

Answer:

There will be total 2048 parts of the given paper if James if able to fold the paper eleven times.

The needed function is y = 2 ^n

Step-by-step explanation:

Let us assume the piece of paper James decides to fold is a SQUARE.

Now, let us assume:

n : the number of times the paper is folded.

y : The number of parts obtained after folds.

Now, if the paper if folded ONCE ⇒  n = 1

Also, when the pap er is folded once, the parts obtained are TWO equal parts.

⇒  for n = 1 , y = 2       ..... (1)

Similarly, if the paper if folded TWICE  ⇒  n = 2

Also, when the paper is folded twice, the parts obtained are FOUR equal parts.

⇒  for n = 2 , y = 4       ..... (2)

⇒y  = 2^2  =  2^n

Continuing the same way, if the paper is folded SEVEN times  ⇒  n = 7

So, y = 2^ n = 2^7 = 128

⇒  There are total 128 equal parts.

Lastly,  if the paper is folded ELEVEN  times  ⇒  n = 11

So, y = 2^ n = 2^{11} = 2048

⇒  There are total 2048 equal parts.

Hence, there will be total 2048 parts of the given paper if James if able to fold the paper eleven times.

And the needed function is y = 2 ^n

8 0
3 years ago
Mr. Rifkin had 240 digital and manual cameras. After donating 82 digital cameras and 26 manual cameras, he had 3 times as many d
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Answer:

therefore, he had 181 digital cameras at first

Step-by-step explanation:

total=240

digital= 3x+82

manual= x+26

total= digital + manual

240= 3x+82+26+x

x= 240-108/4

x= 33

digital= 3×33+83

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The answer to that will be about 21 pounds
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Well we set the perimeter to 120 feet.
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2y=120-2x
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Now we plug these values into our area equation A=xy to get:
A=(60-y)(60-x)
7 0
2 years ago
Read 2 more answers
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