Lines m and n are parallel. which postulate or theorem proves that < 4 ≅ < 5?
image result for parallel lines cut by a transversal
question 12 options:
corresponding angles postulate
alternate interior angles theorem
vertical angles theorem
alternate exterior angles theorem

Angle 4 and 5 are  alternate interior angles.

The answer is: Alternate Interior Angles Theorem

The correct option is 2. ∠4≅∠5 by using alternate interior angles theorem.

Step-by-step explanation:

Corresponding Angles Postulate: If a transversal line intersect two parallel lines, then the corresponding angles are congruent.

Alternate Interior Angles Theorem: If a transversal line intersect two parallel lines, then the alternate interior angles are congruent.

Vertical Angles Theorem: If two lines intersect each other, then vertically opposite angles are congruent.

Alternate Exterior Angles Theorem: If a transversal line intersect two parallel lines, then the alternate exterior angles are congruent.

From the given figure it is clear that the m║n, t is transversal line, ∠4 and ∠5 are alternate interior angles.

∠4≅∠5              (By using alternate interior angles theorem)

Therefore the correct option is 2.

answer: the 4 kilogram bag

step-by-step explanation: this is because if you divide the number of kilograms into the total it will tell you how much each individual kilogram would be worth. 2 kilos is 7 and change 3 would be around 6 ish and the 4 kilo would be 4.6 and change and the 5 kilos would be like 4.88

answer:   x = 3 + √11     and     x = 3 - √11

step-by-step explanation:

x² - 6x + 9 = 11

(x - 3)² = 11

x - 3 = ±√11

    x = 3 ± √11

x = 3 + √11     and     x = 3 - √11