For this problem, we are given a parallelogram with a diagonal drawn, inside it there are markings for a few angles. We need to determine the unknown angles.
Opposite sides of a parallelogram are parallel, this means we can treat the diagonal as a transversal line that crosses two parallel lines. Since this is the case, the angles 33º and xº are alternate interior angles and have the same length:

The opposite angles in a parallelogram are congruent, therefore:

The sum of internal angles is 360º, therefore we have:

The value of x is 33º, the value of y is 38º and the value of z is 109º.
Answer:
6/9
Step-by-step explanation:
Lance invited 36 people to his party.
<u>Step-by-step explanation:</u>
It is given that,
- Lance bought 12 quarts of lemonade.
- Everyone who came to his party could have exactly 1/3 quart.
We know that,
The total quarts of lemonade available for the party = 12
Each person in the party consumes = 1/3 quart.
We need to find out how many people did Lance invited to his party.
<u>To find the number of people :</u>
Let us consider 'x' be the number of people invited to the party.
Total lemonade = number of people × lemonade for each person.
⇒ 12 = x × 1/3
⇒ 12×3 = x
⇒ x = 36 people
Therefore, Lance invited 36 people to his party.
Answer: 13km
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
3 is closer to 0