Answer:
Step-by-step explanation: when h(x) = 10
h(x)= 6-x
h(10)= 6-10
=-4
6 and 1/2= 13/2. 13/2*1/6=13/12 so they spent 1 and 1/12 of an hour on recess
We can conclude that the value of x is (∠MNP + 66)/8 and angle m∠RNM = ∠RNQ - ∠MNP + 78.
<h3>
What are angles?</h3>
- An angle is a figure in Euclidean geometry formed by two rays, called the sides of the angle, that share a common endpoint, called the vertex of the angle.
- Angles formed by two rays are located in the plane containing the rays.
- Angles are also formed when two planes intersect.
- These are known as dihedral angles.
So,
- ∠MNQ = ∠MNP + ∠PNQ
- 8x + 12 = ∠MNP + 78
- 8x + 12 - 78 = ∠MNP
- 8x - 66 = ∠MNP
- 8x = ∠MNP + 66
- x = (∠MNP + 66)/8
Now, substitute 'x = (∠MNP + 66)/8' in 8x + 12:
- ∠MNQ = 8x + 12
- ∠MNQ = 8 ×(∠MNP + 66)/8 + 12
- ∠MNQ = ∠MNP + 66 + 12
- ∠MNQ = ∠MNP + 78
Hence, m∠RNM = ∠RNQ - ∠MNP + 78
Therefore, in the given question value of x is (∠MNP + 66)/8 and angle m∠RNM = ∠RNQ - ∠MNP + 78.
Know more about angles here:
brainly.com/question/25716982
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Answer: 0.1714 miles / hour
Step-by-step explanation:
Given the following :
Distance to the store = 3 miles
Time taken to get to store = 12 hours
Time taken to return = 23 hours
The average rate of speed for the trip =?
Average Speed = total distance traveled / total time taken
Total distance traveled = 2 × 3 miles = 6 miles
Total time taken = 12 + 23 = 35 hours
Average speed = 6 miles / 35 hours
Average speed = 0.1714 miles / hour
