Answer:
68%.
Step-by-step explanation:
Dalvin's finishing time is normally distributed with a mean of 65 seconds and a standard deviation of 1 second.
Under the empirical rule, 68% of the results will be within 1 standard deviation.
Since the standard deviation is 1 second, 68% of Dalvin's finishing time will be between 64 and 66 seconds.
Short Answer: The first three are absolutely true. Congruency is maintained if all you are doing is shifting the figure 8 spaces away. Since the figures are congruent, their corresponding parts are equal and the statements made are always true. That's the guiding principle.
A is true. See the short answer.
B is True. You have gone 8 units away. The distance between the old G and the new one is 8 units. This is not a congruency property but it is true because it is given. You haven't altered the shape or rotatated it.
C is true by conguency. You have just shifted things 8 units. You have maintained equality and you have maintained distance between corresponding parts.
That leaves D. If the figures are regular, that will be true. If they are not regular, non corresponding external angles cannot be guaranteed to be true.
Answer:
Triangle PST ≅ Triangle PQR by ASA
Step-by-step explanation:
We know that because line segments PS and PR are congruent, then ∠PRS and ∠PSR must also be congruent because of the Isosceles Triangle Theorem, which states that if two sides of a triangle are congruent, then angles opposite those sides are congruent.
Therefore, the angles supplementary to ∠PRS and ∠PSR (∠PRQ and ∠PST respectively) must also be congruent to each other since we've already stated that ∠PRS and ∠PSR are congruent due to the Isosceles Triangle Theorem.
So, we can prove triangles PST and PQR congruent by ASA (Angle-Side-Angle).
Answer:
b definition of a linear pair
Step-by-step explanation:
The two angles form a line, so it is the definition of a linear pair
adjacent angles which form a straight line
the price of the watch plus tax = 100% + 7% = 107%
Divide the total cost by 107%:
234.33 / 1.07 = 219.00
The original price was $219.00