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cupoosta [38]
3 years ago
9

What is the area of LMN

Mathematics
1 answer:
irakobra [83]3 years ago
8 0

4 square units.



The easiest way to find this is by looking at the triangle as if NL was the base. In this case PM would be the height. Since a triangle is the same shape even when we move it or rotate it, this is a common strategy to finding areas when the direction is tough for us.



Now that we have this we can measure the lengths of the base and height and use them in the triangle area formula.



Base = 4


Height = 2



Area of a triangle = 1/2bh


Area of a triangle = 1/2(4)(2)


Area of a triangle = 2(2)


Area of a triangle = 4



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Dina's mother is four times older than Dina. Dina is 35 years younger than her father. Dina's father was 5 years older than Dina
Lady bird [3.3K]

Answer:

10 years old

Step-by-step explanation:

Let m = mother's age

Let f = father's age

Let d = Dina's age

m = 4d               d = f-35                f = m+5

Substitute the middle equation in to the first equation

m = 4(f - 35) Use the distributive property

m = 4f - 140 subtract 4f from both sides

*m -4f = -140

In equation 3 above, subtract m from both sides  to get

f = m+5

f - m = 5  rearrange so that the  m term is first

*-m + f = 5  

Now add the equations together that have *

m -4f = -140

<u>-m + f = 5</u>

     -3f = -135  Divide both sides by -3

f = 45  This is the father's age.  To find Dina's age, plug 45 into the second equation above:

d = f -35

d = 45 -35

d = 10.

To find the mom's age, use the third equation:

f = m+5

45 = m + 5

40 = m

You can check this by plugging the answers you found and you can see that all three equations are solved.

m = 4d                        d = f - 35                 f = m + 5

40 = 4(10)                    10 = 45 - 35            45 = 40 + 5

40 = 40                       10 = 10                     45 = 45

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2 years ago
Help!! (You will get 100 points! &amp; Brainliest if you are correct)
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Answer: The first number that appears in both sequences is 28.

Step-by-step explanation:

Let's write down numbers from each of the sequences

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7x4=28, 28x4=112

The sequence is 7,28,112...

Sequence 2) We need to start from 8 and add 5

5+8=13, 13+5=18, 18+5=23, 23+5=28

The sequence is 8,13,18,23,28...

They both have 28

5 0
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Answer:

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Step-by-step explanation:

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