Answer:

Step-by-step explanation:
For
, we have two cases:

Therefore, for
, we have the following cases:

Solving, we have:
.
Therefore,

Answer:
2 1/6 hours
Step-by-step explanation:
2 1/3 + 1 1/2 + x = 6
convert all mixed numbers to improper fractions
7/3 + 3/2 + x = 6/1
change all numbers to have a common denominator
14/6 + 9/6 + x = 36/6
combine like terms
23/6 + x = 36/6
subtract 23/6 from both sides
x = 13/6
convert improper fraction to mixed number
2 1/6
Answer: the total square footage is
850 ft³
Step-by-step explanation:
The kitchen is 10 feet by 15 feet. This means that the volume of the kitchen would be
10 × 15 = 150 ft³
The living/dining combo is 20 feet by 25 feet. This means that the volume of the living/dining combo would be
20 × 25 = 500 ft³
The office and sunroom are each 10 feet by 10 feet. This means that the volume of the office would be
10 × 10 = 100 ft³
Also, the volume of the sunroom would be
10 × 10 = 100 ft³
Therefore, the total square footage is
150 + 500 + 100 + 100 = 850 ft³
The measure of arcPR and arcRPT are 83 and 208 degrees respectively
The measure of arc ST will be gotten using the expression below:
arcPS = arcPT + arcST
Given the following
arcST = arcPS - arcPT
arcST = 180 - 125
arcST = 55 degrees
Similarly, arcPR = 180 - arcRS
arcPR = 180 - 97
arcPR = 83 degrees
arcRPT = arcPR + arcPT
arcRPT = 83 + 125
arcRPT = 208 degrees
Hence the measure of arcPR and arcRPT are 83 and 208 degrees respectively
Learn more about circles here: brainly.com/question/24375372
Answer:
5 minutes
Step-by-step explanation:
the liters is at zero at the 5 minute mark