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weeeeeb [17]
3 years ago
10

Find the original cost of a rocking chair selling for $99.99 at 15% off.

Mathematics
2 answers:
g100num [7]3 years ago
3 0
About $117.64, which you can solve by using this equation: 0.85x=99.99
Maksim231197 [3]3 years ago
3 0
It is 11its 117.64 if you do the equation 0.85x=99.99
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7x+5y=-13<br> -2x=7y+26<br> Solve by elimination
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Point form : (1,-4)

Equation for, : x=1, y=-4

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Hope this helps you out! ☺

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At a basketball game, 95% of people attending were supporting the home team, while
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hus, D satisfying ​(ABC)DequalsI exists. Why does the expression for D found above also satisfy ​D(ABC)equalsI​, thereby showing
Assoli18 [71]

Complete Question

The complete question is shown on the first uploaded image

Answer:

First Question

Option A is correct

Second  Question

Option C is correct

Third   Question

     D =  A^{-1}  *  B^{-1} *  C^{-1}

Fourth   Question

  So substituting for D in  (ABC) D =  I

                 (ABC) *  A^{-1}  *  B^{-1} *  C^{-1} =  I

                 I =  I

This proof that  ABC is invertible

Step-by-step explanation:

From the question we are told that

   A , B and  C are invertible which means that A^{-1} , B^{-1}, C^{-1} exist

Now

 From the question

          (ABC) D =  I

Where I is an identity matrix

   Now when we multiply both sides by  A^{-1}  we have

          A^{-1}  A BCD =  A^{-1} * I

          IBCD =  A^{-1}

Now when we multiply both sides by  B^{-1}  we have  

         B^{-1 } *I BCD =  A^{-1}  *  B^{-1}

         I CD =  A^{-1}  *  B^{-1}

Now when we multiply both sides by  C^{-1}  we have  

          C^{-1} * I CD =  A^{-1}  *  B^{-1} *  C^{-1}

              I D =  A^{-1}  *  B^{-1} *  C^{-1}

                 D =  A^{-1}  *  B^{-1} *  C^{-1}

So substituting for D in the above equation

                 (ABC) *  A^{-1}  *  B^{-1} *  C^{-1} =  I

                 I =  I

This proof that  ABC is invertible

 

4 0
2 years ago
Solve for x. Show all your work
olasank [31]

42°

Step-by-step explanation:

\angle BAE =180\degree -132\degree

(Angles in linear pair)

\angle BAE =48\degree

\angle AEB =90\degree..(\because \overrightarrow{EC}\perp\overrightarrow{ED})

\angle ABE = 180\degree-(48\degree+90\degree)

(Angle sum postulate of a triangle)

\implies\angle ABE = 180\degree-138\degree

\implies\angle ABE = 42\degree

\angle CDE =\angle ABE = 42\degree

(corresponding angles)

\implies x\degree=\angle CDE

(vertical angles)

\implies x\degree=42\degree

\implies x=42

3 0
2 years ago
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