Chang knows one side of a triangle iS 13 cm. Which set of two sides is possible for the lengths of the other two sides of this triangle?
• 5 cm and 8 cm
• 6 cm and 7 cm
• 7 cm and 2 cm
• 8 cm and 9 cm

8 cm and 9 cm

Step-by-step explanation:

The rule for these types of problems is that the sum of the 2 shorter sides in a triangle is greater than the biggest side's length. If you think about it, it does seem sensible.

5+8 and 6+7 are both 13, but they aren't greater than the biggest side's length which is also 13.

7+2 is also wrong as it is 9, which is less than 13.

8+9= 17, and 17 is greater than 13.

So that's the answer.

Hope this helps! :)

is there a picture

step-by-step explanation:

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;