I need help with these questions ( see image for question ).
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Giving ad is congruent to bc and angle bcd is congruent to angle adc prove d e is going to ce

Find all the values of x that make 0.1x + 0.25(102 - x) < 17.10 true.

Which approach to the theory-and-research cycle does the following sequence reflect: (1) specific observations suggest generalizations, (2) generalizations produce a tentative theory, (3) the theory is tested through the formation of hypotheses, and (4) hypotheses may provide suggestions for additional observations?