7:6 and 7/6. hope this helps.
Answer:
m<D = 105
Step-by-step explanation:
So, Triangle STU and DEF are similar triangles, because their corresponding side lengths have the same ratio.
For example FD can be multiplied by 2.5 to get SU, and EF can be multiplied by 2.5 to get TU, and ED can me multiplied by 2.5 to get 15.
Anyways, since the two triangles are similar, they have the same angle measures, meaning that angle D can be found by subtracting 46 and 25 from 180 degrees to find the missing angle, which is 105 degrees. I hope that helps.
The domain and the range for the relations are given as follows:
- 13. Domain x ∈ R, range y ∈ R.
- 14. Domain {x ∈ Z| -4 ≤ x ≤ 4 and x is even} , range y ∈ {y ∈ Z| -1 ≤ y ≤ 4}.
- 15. Domain {x ∈ Z| -4 ≤ x ≤ 1} , range y ∈ {y ∈ Z| -4 ≤ y ≤ 1}.
- 16. Domain x ∈ R, range y ∈ R.
<h3>What are the domain and range of a function?</h3>
- The domain of a function is the set that contains all possible input values. Hence, in a graph, the domain is given by the values of x.
- The range of a function is the set that contains all possible output values. Hence, in a graph, the domain is given by the values of y.
For items 13 and 16, the functions are continuous, hence it is over the real numbers, and both the domain and range are all real values.
For items 14 and 15, the functions are discrete, hence it is over the integer numbers, and the domain is composed by the values assumed by x and the range is composed by the values assumed by y.
More can be learned about domain and range at brainly.com/question/10197594
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