49×12= 588
1. 50×10=500
2. 50×10+2= 502 
3. 50×12-12= 588
4. 50+12-12=50
Another way to write 49×12 is 50×12-12
        
             
        
        
        
Here's how you solve this.  So, x+y=2, right?  Let's isolate x.  x+y-y=2-y.  x=2-y.  NOW, if x=2-y, in 3x+2y=5, we can REPLACE x with 2-y and use it to solve for y!  3x+2y=5.  3(2-y)+2y=5.  (3*2)+(3*-y)+2y=5.  6+(-3y)+2y=5.  6+(-y)=5.  6+(-y)-6=5-6.  -y=-1.  -y/-1=-1/-1.  y=1.
So, if y=1, we can substitute that back into either equation--but let's go with the easier one, x+y=2.  x+1=2.  x+1-1=2-1.  x=1.  1+1=2, so that works; let's check the other equation.  3(1)+2(1)=5.  3+2=5.  5=5.  That's correct!
Answer: x=1, y=1
        
                    
             
        
        
        
Answer:
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Step-by-step explanation:
 
        
             
        
        
        
Answer: DEb = 26°
Step-by-step explanation:
<u>Given information</u>
CEF = 7x + 21
FEB = 10x - 3
<u>Given expression deducted from the definition of the bisector</u>
FEB = CEF
<u>Substitute values into the expression</u>
10x - 3 = 7x + 21
<u>Subtract 7x on both sides</u>
10x - 3 - 7x = 7x + 21 - 7x
3x - 3 = 21
<u>Add 3 on both sides</u>
3x - 3 + 3 = 21 + 3
3x = 24
<u>Divide 3 on both sides</u>
3x / 3 = 24 / 3
x = 8
<u>Find the sum of the angle of CEF and FEB</u>
  7x + 21 + 10x - 3
=7 (8) + 21 + 10 (8) - 3
=56 + 21 + 80 - 3
=77 + 80 - 3
=157 - 3
=154
<u>Subtract 154 from the straight angle</u>
DEB = 180 - 154

Hope this helps!! :)
Please let me know if you have any questions
 
        
             
        
        
        
a. Jada got the measurement 16m.
b. The measured depth differ 0.2m from the actual depth.
c. There is a 12.66% error in calculation.
Step-by-step explanation:
Given, 
The depth of lake = 15.8 m 
a. Jada accurately measured the depth of the lake to the nearest meter. What measurement did Jada get
When a digit after the decimal point is 5 or more than that, the number before decimal is rounded to the next number.
Therefore, 
15.8 rounded to nearest number is 16.
The depth of lake measured by Jada = 16 m
Jada got the measurement 16m.
b. By how many meters does the measured depth differ from the actual depth?
Difference = Approx - Exact 
Difference = 16 - 15.8 = 0.2m
The measured depth differ 0.2m from the actual depth.
c. Express the measurement error ad a percentage of the actual depth.
Percent error = 
Percent error = 
Percent error = 12.66% 
There is a 12.66% error in calculation.
Keywords: percent, error
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