Answer:
z = 38
Step-by-step explanation:
The sum of the angles of a triangle add to 180
z+ 90+52 = 180
Combine like terms
z +142 = 180
Subtract 142 from each side
z+142-142 = 180-142
z =38
9514 1404 393
Answer:
∠6 = ∠4 = 84°
∠5 = ∠3 = 96°
Step-by-step explanation:
Angle 4 and the marked angle (84°) are <em>corresponding</em> angles, so are congruent. Angles 4 and 6 are vertical angles, so are congruent.
∠6 = ∠4 = 84°
Angle 3 and the marked angle are a linear pair, so angle 3 is the supplement of 84°:
∠3 = 180° -84° = 96°
Angle 3 and angle 5 are <em>alternate interior </em>angles, so are congruent.
∠5 = ∠3 = 96°
The population in the above situation is the total number of students under Mr. Wilson.
A sample is a part of the population that may best represent the population. There is no sample in the above situation because Mr. Wilson made all students pick 5 note cards. He will be able to determine the performance of each student based on their performance in picking 5 note cards and defining the terms in each card.