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abruzzese [7]
3 years ago
12

In the diagram, JKLM~EFGH. Find the scale factor of JKLM TO EFGH. Plz help

Mathematics
1 answer:
pav-90 [236]3 years ago
7 0

Answer:

Step-by-step explanation:

In similar polygons, corresponding sides are in  proportion.

Scale factor k = \frac{JK}{EF} = \frac{20}{8}=\frac{5}{2} = 5 : 2

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Find an equation of the line through the points (-1,1) and (1,5)
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Your family goes to a restaurant for dinner. There are 7 people in your family. Some order the chiken dinner for $ 12 dollars an
aleksandrvk [35]

Answer:

The number of people who ordered steak dinner is 5

The number of people who ordered chicken dinner is 2

Step-by-step explanation:

Given as :

The total number of people went for the dinner = 7

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The price for the chicken dinner = $ 12

The price for the steak dinner = $ 17

Let The number of people who ordered chicken dinner = c

And The number of people who ordered steak dinner = s

Now, According to question

The total number of people went for the dinner = The number of people who ordered chicken dinner + The number of people who ordered steak dinner

Or, c + s = 7

And The total bill price for the dinner = The price for the chicken dinner × The number of people who ordered chicken dinner + The price for the steak dinner ×  The number of people who ordered steak dinner

Or, $ 12 × c + $ 17  × s = $ 109

Now, solving the equations

$ 12 × ( c + s ) = $ 12 × 7

Or,  $ 12 × c + $ 12  × s = $ 84

Or, (  $ 12 × c + $ 17  × s ) - (  $ 12 × c + $ 12  × s ) = $ 109 - $ 84

Or , (  $ 12 × c - $ 12  × c ) +  (  $ 17 × s - $ 12  × s ) = $ 25

Or, ( 0 ) + ( $ 5 s ) = $ 25

∴ s = \frac{25}{5}

I.e s = 5

So, The number of people who ordered steak dinner = s = 5

Put the value og s in Eq A

∵,  c + s = 7

or,  c = 7 - s

Or, c = 7 - 5

I.e   c = 2

So , The number of people who ordered chicken dinner = c = 2

Hence The number of people who ordered steak dinner is 5

And The number of people who ordered chicken dinner is 2   Answer

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