77 inches is equal to
2 answers:
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The given polygons are similar
Step-by-step explanation:
By observing the given diagrams, we can see that the respective angles are congruent.
Two shapes are said to be similar if they have same shapes or one shape is created by uniformly increasing or decreasing the side of other.
For this purpose we find the scale factor of greater to smaller image, if the scale factor is same for each side then the two shapes are similar
So,
The scale factor is:
We can see that the scale factor is same for all sides.
Hence,
The given polygons are similar
Keywords: Polygons, similarity
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Answer:
The price of each hamburger is $3
The price of each hot dogs is $2 .
Step-by-step explanation:
Given as :
The total price of 3 hamburger and 2 hot dogs = $13
The total price of 2 hamburger and 5 hot dogs = $16
Let The price of each hamburger = $x
Let The price of each hot dogs = $y
<u>Now, According to question</u>
3 x + 2 y = 13 .........A
2 x + 5 y = 16 .......B
Now, Solving to eq A and B
3 × (2 x + 5 y ) - 2 × (3 x + 2 y ) = 3 × 16 - 2 × 13
Or, (6 x + 15 y) - (6 x + 4 y) = 48 - 26
Or, (6 x - 6 x) + (15 y - 4 y) = 22
Or, 0 + 11 y = 22
∴ y =
i.e y = $2
so, The price of each hot dogs = y = $2
<u>Now, Put the value of y into eq B</u>
i.e 2 x + 5 y = 16
or, 2 x + 5 × 2 = 16
or, 2 x = 16 - 10
or, 2 x = 6
∴ x =
i.e x = $3
So, The price of each hamburger = x = $3
Hence, The price of each hamburger is $3 and The price of each hot dogs is $2 . Answer