<span>It is given that m ∥ n, m∠1 = 50</span>°<span> , and m∠2 = 42</span>°<span>. By the triangle sum theorem, m∠3 = 88</span>°<span>. Because corresponding angles formed by two parallel lines and a transversal are congruent, ∠3 ≅ ∠4. By the angle congruence theorem, m∠3 =m∠4. Using substitution, 88</span>°<span>=m. Angles 4 and 5 form a linear pair, so by the linear pair postulate, m∠4 + m∠5=180</span>°<span>. Substituting gives 88</span>° <span>+ m∠5=180</span>°<span>. Finally, by the subtraction property of equality, m∠5 = 92</span>°<span>.</span>
Answer:a^2-ab+3ab^2-b^2
Step-by-step explanation:
Answer:
x = 8
Step-by-step explanation:
Notice that the x-coordinates of the two points are both 8. Thus, the points are on the vertical line x = 8.
Answer:
cos C = 9/41
Step-by-step explanation:
cos C = adjacent side/ hypotenuse
cos C = 9/41