Answer:
An x-coordinate is the x value in an ordered pair, which is just two mathematical objects, such as numbers, paired together. ... For instance, in the ordered pair (2,5), the x-coordinate would be '2. ' This value tells you how far a point is from the origin, or starting point, in the x direction on a 2-dimensional graph.
Step-by-step explanation:
 
        
             
        
        
        
Answer:
Option A.
Step-by-step explanation:
According to triangle inequality theorem, a triangle exists if the sum of two sides is greater that third side.
Apply this theorem on each combination.
Case I:  
 
 
 
 ...(1)
      ...(1)
Case II:  
 
 
 
 ...(2)
     ...(2)
Case III:  
 
 
 
 ...(3)
     ...(3)
On combining (1), (2) and (3), we get
 
Therefore, the correct option is A.
 
        
             
        
        
        
Answer:11.7
Step-by-step explanation:
1. Recognize variables. Starting price is 9, it’s increasing by 1.5% each year, the question asks for the price in 20 years.
2. Convert percentage to decimal. Most calculators won’t understand multiplying by percentages, and instead will understand multiplying by decimals. A decimal is something we can easily work with. It is more commonly taught to work with decimals as well. With that said 1.5% equals .015. (The number in the ones place in the percentage is always in the hundredths place when converted to a decimal, the tens to the tenths, the hundreds in the percentage to the ones place in the decimal, the hundredths in the percentage to the ten thousandths in the decimal. Basically, every individual number [the 5 in 1.5] moves two spaces to the right when going from percentage to decimal form, likewise two to the left going from decimal to percentage form. 23%=.23, 104%=1.04, 0.5%=.05, 1.234%=.01234)
3. Make your equation
20(9*(.015))+9
+9 is your starting point
9*(.015) gives you the amount the price increases per year
20 is multiplied then to that increased price for the next 20 years
4. Crunch em numbers
PEMDAS
 
        
             
        
        
        
Answer:  x = 2
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Explanation:
Refer to the diagram below.
I've added points D,E,F,G. This helps with labeling the segments and angles, and identifying the proper triangles (to see which are congruent pairs).
Triangle GEA is congruent to triangle GFA. We can prove this using the AAS congruence theorem. We have AG = AG as the pair of congruent sides, and the congruent pairs of angles are marked in the diagram (specifically the blue pairs of angles and the gray right angle markers)
Since triangle GEA is congruent to triangle GFA, this means the corresponding pieces segment GF and GE are the same length.
The diagram shows GF = 3x-4, so this means GE = 3x-4 as well.
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Through similar steps, we can show that triangle GEC is congruent to triangle GDC. We also use AAS here as well.
The congruent triangles lead to GD = GE. So GD = 3x-4. The diagram shows that GD = 6x-10
Since GD is equal to both 3x-4 and 6x-10, this must mean the two expressions are equal.
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Now let's solve for x
6x-10 = 3x-4
6x-3x = -4+10
3x = 6
x = 6/3
x = 2
 
        
             
        
        
        
Answer:
x=-4
Step-by-step explanation:
1. subtract 16 from both sides which leaves you left with 
x=-4