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STALIN [3.7K]
3 years ago
9

The shortest sides of two similar polygons have lengths in the ratio 2:5. The perimeter of the smaller polygon is 20. The perime

ter of the larger polygon is
Mathematics
2 answers:
Mariulka [41]3 years ago
5 0
A similar triangle has the same ratio on every side, so that means the perimeter has the same ratio as well. 
Set up the proportion: 2/5 = 20/x
multiply the means and extremes to get
2x = 100
divide both sides by 2
x = 50
The perimeter of the larger polygon is 50
Hope this helped =)

zaharov [31]3 years ago
5 0

Answer:

The perimeter of the larger polygon is 20 units.

Step-by-step explanation:

We know that,

The ratio of the perimeters of two similar polygons is equal to the ratio of the corresponding sides of the polygons.

Here, the ratio of the corresponding sides of smaller and larger polygon is 2 : 5,

Also, given,

Perimeter of shorter polygon is 20 units,

Let x be the perimeter of the larger polygon,

By the above property,

\implies \frac{2}{5}=\frac{20}{x}

\implies 2x = 100 ( By cross multiplication )

\implies x = 50

Hence, the perimeter of the larger polygon is 20 units.

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Conan O'Brien hosts the Conan show and Andy Richter, his sidekick, writes for it. Conan needs 4 hours to rehearse and host a goo
andrew-mc [135]

Answer:

C

Step-by-step explanation:

1. Conan needs 4 hours to rehearse and host a good show.  Andy needs 10 hours to do the same. So, Cohan needs 6 hours less than Andy to  rehearse and host a good show. This means Cohan has an absolute advantage in the production of show hosting.

2. Conan writes one usable joke in an hour,  Andy needs 2 hours to do the same. So, Cohan has an absolute advantage in the production of joke writing.

Thus, Cohan has an absolute advantage in the production of both show hosting and joke writing.

Correct option is option C.

4 0
2 years ago
Y= -2x + 15<br> y= -2(x-2)2 + 35
barxatty [35]

Answer:

(x, y)=(301  43)

        ( ----  , ---)

        ( 29    29)

Step-by-step explanation:

4 0
2 years ago
(x+3y=6<br> 16x + 18y = 36
jonny [76]

Answer:

X = 0 , y=2

Step-by-step explanation:

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7 0
3 years ago
A function f(x)=3x+12.
seraphim [82]
If you're using the app, try seeing this answer through your browser:  brainly.com/question/2822258

_______________


•  Function:   f(x) = 3x + 12.


A.  Finding the inverse of f.

The composition of f with its inverse results in the identity function:

(f o g)(x) = x

f[ g(x) ] = x

3 · g(x) + 12 = x

3 · g(x) = x – 12

              x – 12
g(x)  =  ⸺⸺
                 3

               x 
g(x)  =  ⸺  –  4    <———    this is the inverse of f.
               3

________


B.  Verifying that the composition of f and g gives us the identity function:

•  \mathsf{(f\circ g)(x)}

\mathsf{=f\big[g(x)\big]}\\\\\\ \mathsf{=3\cdot \left(\dfrac{x}{3}-4\right)+12}\\\\\\&#10;\mathsf{=\diagup\hspace{-7}3\cdot \dfrac{x}{\diagup\hspace{-7}3}-3\cdot 4+12}\\\\\\&#10;\mathsf{=x-12+12}\\\\&#10;\mathsf{=x\qquad\quad\checkmark}


and also

•  \mathsf{(g\circ f)(x)}

\mathsf{=g\big[f(x)\big]}\\\\\\ \mathsf{=\dfrac{f(x)}{3}-4}\\\\\\ \mathsf{=\dfrac{3x+12}{3}-4}\\\\\\&#10;\mathsf{=\dfrac{\diagup\hspace{-7}3\cdot (x+4)}{\diagup\hspace{-7}3}-4}\\\\\\&#10;\mathsf{=x+4-4}\\\\&#10;\mathsf{=x\qquad\quad\checkmark}

________


C.  Since f and g are inverse, then

f(g(– 2))

= (f o g)(– 2)

= – 2          <span>✔
</span>

•  Call h the compositon of f and g. So,

h(x) = (f o g)(x)

h(x) = x


As you can see above, there is no restriction for h. Therefore, the domain of h is R (all real numbers).


I hope this helps. =)

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