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SIZIF [17.4K]
3 years ago
10

I am trying to remember how to do Write a two-column proof,

Mathematics
1 answer:
Klio2033 [76]3 years ago
4 0

9514 1404 393

Explanation:

Make use of the properties of equality.

  a = 2b +6 . . . . . given

  a = 9b -8 . . . . . given

  2b +6 = 9b -8 . . . . . . . substitution property of equality

  6 = 7b -8 . . . . . . . . . . . subtraction property of equality

  14 = 7b . . . . . . . . . . . . . addition property of equality

  2 = b . . . . . . . . . . . . . . . division property of equality

  b = 2 . . . . . . . . . . . . . . symmetric property of equality

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What is m∠KNL?<br> Enter answer in box
kodGreya [7K]

I want to talk about X's. I'll start by talking about this X - a cross (photo 1). Specifically, a cross made of two perpendicular lines - lines that meet each other at right angles all around. What's special about a cross? There's the religious significance, but in our case, there's also the <em>symmetry</em>. The quick, intuitive definition of symmetry is some quality that a thing has where, if you do something to it, it'll still look the same. Your body is symmetric; the left side of our bodies looks like we took the right side and flipped it - they're mirror images of each other.

One of the symmetries of this cross is right here. (Picture 2) It splits the cross into <em>two identical halves</em>, one a mirror image of the other. Most importantly, <em>the angles on each side of the line are identical</em>. We can draw this same mirror into our problem, too (picture 3). This symmetry tells us that those two unknown angles are exactly the same - <em>equal</em>. So, if angle MNJ is 5x+2 and angle LNK is 3(x+14), we now know that

5x + 2 = 3(x + 14), or, getting our algebra sorted:

5x + 2 = 3x + 42

2x = 40

x = 20

Now that we know x, we can find MNJ - which, because X's are symmetric, is exactly the same angle as LNK. Crunching the numbers, we find

m∠MNJ = m∠LNK = 5(20) + 2 = 100 + 2 = 102°.

Side note: the technical term for pairs of angles like MNJ and LNK is vertical angles. What we've shown here is, because of the symmetry of intersecting lines, vertical angles are always equal.

7 0
2 years ago
Can Somebody Solve This Equation ?
Lyrx [107]
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7 0
3 years ago
Describe two different ways to solve: -10=1/4(8y-12)
timurjin [86]
There are two ways to approach this question. The first is to divide both sides of the equation by 1/4, which is the same as multiplying by 4.
4*(-10)=4*(1/4)(8y-12)
-40=1(8y-12)
-40=8y-12
-40+12=8y-12+12
-28=8y
-28/8=8y/8
-3.5=y
Another method is to distribute 1/4 to each term within the parentheses.
-10=8y*(1/4) - 12*(1/4)
-10=2y - 3
-10+3=2y - 3 +3
-7=2y
-7/2= 2y/2
-3.5=y
I hope this is helpful!
3 0
3 years ago
Find the solutions of the quadratic equation 3x^2-2x+7=0<br> PLEASE ANSWER CORRECTLY!!
BigorU [14]

Answer:

Step-by-step explanation:

8 0
2 years ago
Solve x + 5 &gt; 8.<br> The solution is ____
professor190 [17]
What do you mean?
Expand your question
4 0
2 years ago
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