A
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Kate's model is correct because 10 times the value of 4 rods, 10(4(10)), is 400. Mel's model represents 4(1)=4, which is incorrect. Kate's model represents 4*100=400, which is correct.
Hope I answered your question!
Given:
In triangle DEF, HG is parallel to DF.
To find:
The value of x.
Solution:
In triangles DEF and GEH,
(Common angle)
(Corresponding angle)
(By AA property of similarity)
We know that corresponding sides of similar triangle are proportional.





Isolating variable terms, we get



Therefore, the value of x is equal to 4.
Hi, there!
_____
To find the missing side length of this triangle (which is a <em>right</em> triangle), we'll use Pythagoras' Theorem.

Here,

Hypotenuse (the longest side): c
We know that

So, we can substitute our parameters, and solve for c.
square 2 and 28
add the numbers
square root both sides

Hope the answer - and explanation - made sense,
happy studying!!
Answer:
B
Step-by-step explanation: