Use the figure to decide the type of angle pair that describes ∠5 and ∠2.

alternate interior angles

alternate exterior angles

same-side interior angles

corresponding angles

B. Alternate exterior angles.

Step-by-step explanation:

We have been given a graph and we are asked to determine the type of angle pair that describes the relation between .

We can see that angle 5 and angle 2 are outside our given parallel lines. Both angles lies on the opposite side of transversal.

Since angles formed on opposite sides of the transversal and outside the two parallel lines are known as alternate-exterior angles, therefore, are alternate exterior angles and option B is the correct choice.

something that characterises a right triangle is the fact that we may use pythagoras' theorem to find any one of its sides given that we have the length of the other two sides. here, we have the length of the hypotenuse, √(87) yd, and one other side, √(23) yd, thus we can easily find the length of the remaining side using pythagoras' theorem as defined below:

c^2 = a^2 + b^2, where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.

thus, given that c = √(87) and a = √(23), we may substitute these into the formula we defined above to get:

c^2 = a^2 + b^2

(√87)^2 = (√23)^2 + b^2 (substitute c = √87 and a = √23 into the equation)

87 = 23 + b^2 (evaluate (√87)^2 = 87 and (√23)^2 = 23 - remember that the square root of a number, squared will equal that very same number)

64 = b^2 (subtract 23 from both sides)

√64 = b (take the square root of both sides)

8 = b (evaluate √64 = 8)

therefor, the length of the unknown leg in the right triangle is 8 yd (first answer).

answer: all of the odd numbers were opened

the first person was the one that was opening all of the lockers. since one is odd, this causes all of the odd number lockers to be opened in the end.