Answer:
angle 1 = 108°
Step-by-step explanation:
because angle 1 and angle 2 are vertical angles and vertical angles are equal.
Answer:
4√2 + 2√10
Step-by-step explanation:
Finding the perimeter here involves finding three point-to-point distances and then adding them up.
From (2, 2) to (6, -2) we have a change in x of 4 and a change in y of -4. We use the Pythagorean Theorem to determine the distance, which is the hypotenuse of a right triangle:
√( [4]² + [-4]² ) = 4√2. This is the length of the side connecting (2, 2) and (6, -2).
From (6, -2) to (5, 1), the distance is √( [-1]² + 3² ), or √10.
From (5, 1) to (2, 2), the distance is √( [-3]² + 1² ), or √10.
The perimeter is the sum of these three distances and is:
4√2 + √10 + √10, or 4√2 + 2√10
Answer:
4
Step-by-step explanation:
-3 + 8 + 9 + (-7) + 13 = 20
20/5 = 4
Answer:
- Jim = 6 hours
- Regina = 12 hours
- Together at same rate = 3 hours
Step-by-step explanation:
- Let Jim's speed is J and Regina's speed is R and the work is W
<u>We have:</u>
<u>Substitute J with 2R:</u>
Regina needs 12 hours to complete work
and
<u>Substitute R with J/2:</u>
Jim needs 6 hours to complete same work
<u>If Regina works as quickly as Jim:</u>
Then
<u>Jim can complete 1/6 of work in one hour, they both can complete twice work:</u>
<u>Time to complete work:</u>
