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marin [14]
3 years ago
11

Find the measure of the angle complementary to the given angle. mZy = 15°

Mathematics
1 answer:
yarga [219]3 years ago
4 0

Answer: 75 degrees

Step-by-step explanation:

The definition of a "complementary angle" is adding up to 90 degrees, and if one of the angles is 15 degrees, that angle measure and the unknown angle measure must add up to 90 degrees. To find the unknown, we subtract 15 from 90, and we get 75. Therefore, the answer is 75 degrees.

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3 octagons 4 Pentagons 2 trapezoids how many sides are on the shapes altogether
klio [65]

Answer:

52 Sides

Step-by-step explanation:

Octagons have 8 sides so 3 x 8 = 24

Pentagons have 5 sides so 4 x 5 = 20

Trapezoids have 4 sides so 2 x 4 = 8

Add it all up and it equals 52 sides in total

8 0
3 years ago
A 5-kilogram bag of cement costs $18.15. What is the unit price?
Gnom [1K]

Answer:3.63

Step-by-step explanation:because if we divide 18.15 by 5 is equal 3.63.

3 0
3 years ago
What kind of sequence is this? 1, 8, 64, 512, ...<br> arithmetic, geometric, neither or both
MatroZZZ [7]

Answer:

Geometric

Step-by-step explanation:

It has a consistent multiple-factor by which it increases (8).

7 0
3 years ago
Which polynomial identity will prove that 19 = 27 − 8? Difference of Squares Difference of Cubes Sum of Cubes Square of a Binomi
Lyrx [107]
The correct answer is:  [B]:  "Difference of Cubes". 
<span>__________________________________________________________

Explanation:
__________________________________________________________
Note that the equation/identity for the "difference of cubes" is expressed as:
___________________________________________________</span><span>_______

        " a</span>³ − b³ = (a − b)(a² + ab + b²) "  ; 
<span>__________________________________________________________

Note the given equation:  " 19 = 27 </span>− 8 " ;   →  (which is true). 
__________________________________________________________

       The "right hand side" of this equation:

            →  " 27 − 8 " ;  contains two numbers:  
         
            →  "27" and "8" ;  both of which are "cubes" ; 

            → that is:  ∛27 = 3 ;   ↔  3³ = 3 * 3 * 3 = 9 * 3 = 27 ;  <u><em>and</em></u>:

                               ∛ 8  = 2 ;  ↔  2³ = 2 * 2 * 2 = 4 * 2 = 8 ; 

            → <u>AND:</u>  "8" is being <u>SUBTRACTED</u> from "27" ; 

            →  (hence, the "difference of squares" polynomial identity); 

So:  given:     " 19 = 27  − 8 " ; 

→  Rewrite as:

        " 19 =  3³  − 2³ " ; 
_______________________________________________________
Now, consider the identity equation for the "difference of squares":

                          →   " a³ − b³ = (a − b)(a² + ab + b²) "  ; 
_______________________________________________________

Take:  " 19  =  3³  − 2³ " ; 

and rewrite as:  

→  3³  −  2³  = 19 ; 

So:   (a³ − b³) = 3³  −  2³ ; 

a = 3 ;  b = 2 ; 
___________________________________________________________
Plug in these values:

 " a³ − b³ = (a − b)(a² + ab + b²) " ; 

→   3³ − 2³  ≟  [3 − 2) [ 3² + (3*2) + 2² ]  ≟  19 ?  ; 

→  27 − 8   ≟  (1) (9 + 6 + 4) ≟  19 ?  ; 

→     19      ≟     (1) (15 + 4)   ≟  19 ?  ; 

→       19    ≟         (1) (19)     ≟  19 ?  ; 

→         19  ≟                19      ≟    19 ? ; 

→          19  =   19   =  19 !  Yes!  
___________________________________________________________
6 0
3 years ago
Read 2 more answers
Write an equation of the line that passes through (0,6) and is parallel to y = 5x - 3
Nadya [2.5K]

Answer:

y = 5x + 6

Step-by-step explanation:

8 0
2 years ago
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