If you only answer one is still very appreciated♥️

3. NO

4. NO

7. c = 17.2

8. x = 7

Step-by-step explanation:

1)

2)

3) Not a triangle

4) This is a triangle

5)

6)

7)

8)

9) Obtuse

10) Obtuse

Step-by-step explanation:

1) This one is a bit difficult to explain without a picture, but the third side needs to be longer than the difference of the 2 sides, and shorter than the sum of the 2 sides.

The third side must be shorter than 31 and longer than 9.

2) Same thing here.

3) Use the same method as the first 2 questions.

15 is greater than 5, but not less than 15. Not a triangle.

4) Same thing again.

12 is greater than 9.4 and less than 14.6. This is a triangle.

5) Split 72 into its prime factors, rewrite any pairs in exponent form, and apply

6) Same thing once again.

7) Use the pythagorean theorem ()

Distances cant be negative, so

8) The time to repeat the same method has come.

Distances cant be negative, so

9) Check distances with the pythagorean theorem.

The third side is too long to be a right triangle, so this triangle is obtuse.

10) Repeat the previous method once more.

Third side is too long, triangle is obtuse.

d. 24+-0.114

step-by-step explanation:

the question requires us to calculate the approximate 95% confidence interval for the mean number of ounces of ketchup per bottle in the sample given the following statistics;

sample mean = 24

standard deviation, σ = 0.4

sample size , n = 49

the confidence interval for a population mean is calculated using the formula;

sample mean ± z-score*(σ/sqrt(n))

the z-score associated with a 95% confidence interval, from the standard normal tables, is;

1.96

substituting these values into the formula;

24 ± 1.96*(0.4/7)

= 24 ± 0.112

from the alternatives given, choice d is closest to the above expression;