Answer:
9 < x < 17 is the possible length of the third side of a triangle.
Step-by-step explanation:
The Triangle Inequality theorem defines that if we are given two sides of a triangle, the sum of any two given sides of a triangle must be greater than the measure of the 3rd side.
Given the two sides of the triangle
Let 'x' be the length of 3rd size.
According to the Triangle Inequality theorem,
The difference of two sides < x < The sum of two sides
13 - 4 < x < 13+4
9 < x < 17
Therefore, 9 < x < 17 is the possible length of the third side of a triangle.
Answer:
sorry im super late but its -5,3
Step-by-step explanation:
Building and solving an equation to model the situation, it is found that it takes 4 min for the prairie dog to reach 13 feet underground.
- Initially, the dog is 5 feet underground.
- Each minute, the dog goes 2 more feet underground.
Hence, the underground height of the dog after t seconds is given by:

The time it takes for the dog to reach 13 feet underground is <u>t for which h(t) = 13</u>, hence:





It takes 4 min for the prairie dog to reach 13 feet underground.
A similar problem is given at brainly.com/question/25290003
2(2x+3)+(5x+4) simplified would be 4x+6+5x+4 and if you add those together you get 9x+10. Hope I helped! if you have any questions just leave a comment
Answer: the total cost of the nightstand is $22
Step-by-step explanation:
The original price of the night stand is $50. If the original price of the night stand was marked down by 60%, it means that the amount of money by which it was reduced would be
60/100 × 50 = 0.6 × 50 = 30
The new selling price would be
50 - 30 = $20
If she paid 10% sales tax,the amount of tax paid would be
10/100 × 20 = 0.1 × 20 = 2
Therefore, the total cost of the nightstand would be
20 + 2 = $22