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Sliva [168]
3 years ago
10

HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Mathematics
1 answer:
Andrew [12]3 years ago
7 0
Answer:  x = 9.611 ;  or ;  x = 9  11/18 .
_________________________________________________
Explanation:
________________________________________________

All angles of any triangle must add up to 180 degrees.

So,  (10x - 4)  + (8x + 3) + 91 = 180 ;  Solve for "x" ; 
___________________________________________
    10x - 4 + 8x + 3 + 81 = 180 ;

Combine the "like terms" on the left-hand side of the equation:
___________________________________________
      +10x + 8x = 18x ;
        
       - 4 + 3 + 8 = 7 ;
____________________________
          18x  +  7 = 180 ;
___________________________________________
   Subtract  "7" from each side of the equation:
___________________________________________
         18x + 7 - 7 = 180 - 7 ;
___________________________________________
to get:  
  
         18x  = 173 ; 
_________________________________
Divide EACH side of the equation by "18" ; to isolate "x" on one side of the equation;  and to solve for "x" ; 
_________________________________
         18x / 18  = 173 / 18 ;
_________________________________
                   x = 9.6111111111111111....
_____________________________________
  
Write as:  9.611 ;  or;   9  11/18.
____________________________________



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Answer:

m < amc = 54°

Step-by-step explanation:

< amb and < bmc are complementary angles whose sum equals 90°.

Therefore, to find the value of 2x°, we must first solve for x.

We can establish the following equality statement:

< amb + < bmc = < amc

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Combine like terms:

2x° + x° + 9° = 90°

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3x° + 9° - 9° = 90° - 9°

3x = 81°

Divide both sides by 3 to solve for x:

3x/3 = 81°/3

x = 27°.

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{\color{chartreuse}{Measure\:of\: ∠\:on\: one\: side\:of\:line\:=\:180°}}

∠ Given are (x + 18)° , x° , 4x° and one Angle is 90° as per diagram

Let ,

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so ,

⟶\:(x \:+\: 18)°\:+\:x°\:+\: 4x°\:+\:90°\:=\:180°

⟶\:6x°\:+ \:18°\:+\:90°\:=\:180°

⟶\:6x°\:+ \:108°\:=\:180°

⟶\:6x°\:=\:180°\:-\:108°

⟶\:6x\:=\:72°

⟶\:x\:=\:\frac{72}{6} \\

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substituting x = 12 at the place of x .

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= 12° + 18 °

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= x°

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__________________________________

= 4x°

= 4(12)°

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