The statements that are true about ΔLNM are:
Hypotenuse = LN
Opposite side to ∠L = NM
Side opposite to ∠N = ML.
<h3>What is a Right Triangle?</h3>
A right triangle has right angle (angle 90) that is opposite to the longest side (hypotenuse).
From the image given, the right triangle has a right angle at angle M, which is oppposite to the hypotenuse, LN.
Therefore, the true statements about the triangle are:
- Hypotenuse = LN
- Opposite side to ∠L = NM
- Side opposite to ∠N = ML.
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The different ratios are 2 : 7, 2 : 9 and 7 : 9
<h3>How to determine the ratio?</h3>
The statement is given as:
8 out of 36 squares unfilled
This means that:
- There are 36 squares
- 8 are unfilled
- 28 are filled
The part-to-part ratio is represented as:
Ratio = Unfilled : Filled
This gives
Unfilled : Filled = 8 : 28
Simplify
Unfilled : Filled = 2 : 7
The part-to-whole ratios are represented as:
Ratio = Unfilled : Total
Ratio = Filled : Total
So, we have:
Unfilled : Total = 8 : 36
Filled : Total = 28 : 36
Simplify
Unfilled : Total = 2 : 9
Filled : Total = 7 : 9
Hence, the different ratios are 2 : 7, 2 : 9 and 7 : 9
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Answer:
Step-by-step explanation:
cant remember what this method is called but
change the second equation to be y = something
x + y = 10
y = -x + 10
plug in this y= in the first equation to get x
4x -2(-x + 10) = 4
4x + 2x -20 = 4
6x = 24
x = 4
then plug in the x we found into the original second equation
4 + y = 10
y = 6
so your ordered pair would be (4,6)
hope this helps <3
Amy: (3 pages/min)(x min) + 9 pages
Sam: (2 pages/min)(x min) + 47 pages
Equate these: 3x+9 = 2x + 47
Then x = 38. The two friends will have covered the same number of pages after 38 minutes. How many pages would that be? 3(38)+9 = 123 pages.
Answer:
Step-by-step explanation:
<u>Given equation:</u>
.
.
<u>Your answer will be Option D.</u>
