1. statement: angles 1 and 2 are supplementary, reason: adjacent angles on a straight line are supplementary
2. reason: Vertical angles are congruent
3. reason: Parallel lines for supplementary interior angles on the same side as the transverse
4. statement:angles 1 and 5 are equal reason:If two angles are supplementary to the same angle, they are congruent
Answer:
x > -4
Step-by-step explanation:
Inequalities like these are solved the same way equations are solved, except when multiplying both sides you flip the less than/greater than sign:
3x + 7 > -x -9
3x + 7 - 7 > -x -9 -7 Subtract 7 from both sides
3x > -x -16
3x + x > -x -16 + x add x to both sides
4x > -16
> 
divide both sides by 4
x > -4
In this case the inequality sign did not have to be flipped since we never multiply both sides by a negative number.
Answer:
Size 50
Step-by-step explanation:
You should choose the larger sample size. This is because if you take the mean, it will help to cancel out outliers. For instance, most people exercise half an hour. With sample size of 10, there might be one person who doesn't exercise, thus dragging down the mean. A larger sample size would have a greater ratio of "average" people.
Answer:
16.91176471
Step-by-step explanation:
1725÷102
= 16.91176471
