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Alinara [238K]
3 years ago
14

If the supplement of <1 is 32º less than the measure of <1, what is m<1? a 1060 b 74o c 61o d 29o

Mathematics
1 answer:
rosijanka [135]3 years ago
7 0

Answer:

a. 106 degrees

Step-by-step explanation:

m=measure of angle 1; m-32 degrees=measure of supplement

m+(m-32 degrees)=180 degrees Add 32 degrees to each side.

2m=212 degrees Divide each side by 2

m=106 degrees ANSWER: The measure of angle 1 is 106 degrees

 

CHECK:

106+(106-32)=180

106+74=180

180=180

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The total of 10 pens is £15.

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3 0
3 years ago
What is the surface area?
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Answer:

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Step-by-step explanation:

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3 years ago
Help me please,Thanks
alisha [4.7K]
Answer:  The width is:  " 10 in. " .
________________________________________________
Explanation:
________________________________________________
Consider a "rectangular prism".
________________________________________________
The formula for the Volume of a rectangular prism:
________________________________________________
  
    V = L * w * h ; 
_________________________________________________
                 in which:
 
                     V = volume = 120 in.³ ;
                     L  = length  =  8 in.
                     w = width   =  ??
                     h = height  =  1.5 in.
____________________________________________
We want to solve for "w" (width) ;
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Given the formula:
____________________________________________
 
   V = L * w * h ; 
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Rewrite the formula; by dividing EACH SIDE of the equation by
   "(L * h)" ; to isolate "w" on one side of the equation;
                 and to solve for "w" ;
_____________________________________________
  →  V / (L * h) = ( L * w * h) / (L * h) ; 

to get:
_________________________________
     →  V / (L * h) =  w ; 

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Plug in our given values for "V", "L"; and "h"; to solve for "w" ; 
____________________________________________________
       → w = (120 in.³) / (8 in. * 1.5 in.) ;
    
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8 0
3 years ago
Given that CD¯¯¯¯¯¯¯¯ is a perpendicular bisector of AB¯¯¯¯¯¯¯¯, where D is on AB¯¯¯¯¯¯¯¯, how can you use the Pythagorean Theor
Liula [17]

Answer:

(AD)^2 + (CD)^2 = (CA)^2 and (CD)^2 + (BD)^2 = (CB)^2

Step-by-step explanation:

Given

Bisector: CD

of Line AB

Required

Apply Pythagoras Theorem

From the question, CD bisects AB and it bisects it at D.

The relationship between AB and CD is given by the attachment

Considering ACD

From the attachment, we have that:

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Opposite = CD

Adjacent = AD

By Pythagoras Theorem, we have

(AD)^2 + (CD)^2 = (CA)^2

Considering CBD

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Hypothenuse = CB

Opposite = CD

Adjacent = BD

By Pythagoras Theorem, we have:

(CD)^2 + (BD)^2 = (CB)^2

4 0
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