The statement which best describes the similarity of the two triangles is; Choice D; There is not enough information to determine whether the triangles are similar.
<h3>Which statement best explains whether △ABC is similar to △DEF?</h3>
The two triangles given in the task content are expected to be assessed to determine if they are similar.
From the concept of congruence in triangles, two triangles are congruent only if all 3 angle measures in one are similar to that in the other, or if the ratio of all corresponding pairs of sides are equal.
Hence, since neither of the conditions is satisfied by the information given, it follows that Choice D is correct.
Read more on congruent triangles;
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This is a proportion question. We can express this as an equation where the answer is
x:
![\frac{1}{250}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B250%7D%20)
=
![\frac{x}{378}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%7D%7B378%7D%20)
From there, you can just cross-multiply and divide to get:
![\frac{1 * 378}{250}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%20%2A%20378%7D%7B250%7D%20)
A tenth of 250 is 25, so this is roughly
![\frac{375}{250}](https://tex.z-dn.net/?f=%20%5Cfrac%7B375%7D%7B250%7D%20)
or
![\frac{17}{10}](https://tex.z-dn.net/?f=%20%5Cfrac%7B17%7D%7B10%7D%20)
, so it'll be approximately 1.7 inches on the map.
There isn't any piece of data during Taylor's experiment which can be taken as qualitative. Thus, correct choice is: Option D: None are qualitative.
<h3>What is qualitative data?</h3>
Qualitative data tells about the quality or characteristic. It is tough to express it numerically or not at all expressible numerically. They are usually catagorical.
In contrast, there is quantitative data which can be expressed numerically.
The problem is missing its option, which are:
- mass of the cars
- degree of the ramp incline
- time in seconds
- none are qualitative
Mass can be measured (in kgs, grams etc), degree of inclination can be measured (in radians, degree etc), time can be measured (in seconds, minutes etc).
Thus, there isn't any piece of data during Taylor's experiment which can be taken as qualitative. Thus, correct choice is: Option D: None are qualitative.
Learn more about qualitative and quantitative data here:
brainly.com/question/12929865