Answer:
Alternate Interior Angles:
∠3 ≅ ∠5
Corresponding Angles:
∠3 ≅ ∠7
∠4 ≅ ∠8
Supplementary Angles:
∠3 is supplementary to ∠6
Step-by-step explanation:
<h3>{ 13, 9, 6} represent the sides of a triangle</h3>
<em><u>Solution:</u></em>
<em><u>Use the triangle inequality law</u></em>
The sum of the lengths of any two sides of a triangle must be greater than the third side
<em><u>Option A</u></em>
{13, 9, 6}
Also,
Thus, sum of length of any two sides is greater than third side
Therefore, { 13, 9, 6} represent the sides of a triangle
<em><u>Option B</u></em>
{12, 7, 20}
19 is not greater than 20
Therefore, {12, 7, 20} does not represent the sides of a triangle
<em><u>Option C</u></em>
{25, 50, 75}
75 is equal to 75
Therefore, {25, 50, 75} does not represent the sides of a triangle
Answer:
The correct option is;
Step-by-step explanation:
Here we have the formula for the confidence interval of the difference of two means where the population standard deviation is unknown based on the sample mean and sample standard deviation is given as follows;
Where:
= Mean of the first sample = 22 grams
= Mean of the second sample = 18 grams
s₁ = Sample standard deviation of the first sample = 3.2 grams
s₂ = Sample standard deviation of the second sample = 2.1 grams
n₁ = Sample size of the first sample = 100
n₂ = Sample size of the second sample = 100
= t value obtained from tables at 99% confidence level and 100 degrees of freedom = 2.626 = 2.63
Therefore, plugging in the values, we have;
Therefore, the correct option is .
Answer:8
Step-by-step explanation:Because since 1/3 of 12 is 4. You add 4 again so that it gives you 8