n the diagram, MQ = QP = PO = ON. If NP is greater than MP, which must be true? Segment OP is longer than segment MQ. Segment MN
has the same length as segment MP. The measure of angle Q equals the measure of angle O. Angle O is larger than angle Q.
2 answers:
Answer:
Correct choice is D
Step-by-step explanation:
Consider attached diagram, where MQ = QP = PO = ON.
Option A is false, because segment OP is equal to segment MQ (given).
Option B is false, because segment MN has length that depends on the placement of points M and N (segment MN can be greater than segment MP, can be smaller than segment MP).
Option C is false, because if the measure of angle Q equals the measure of angle O, then by the cosine law, MP=NP but this statement is not true (given MP<NP).
Option D is true, because the side that is opposite to the greater angle is greater and you know that MN>NP, then the measure of angle O is larger than the measure of the angle Q.
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Given:
The piecewise function is
To find:
The range of given piecewise function.
Solution:
Range is the set of output values.
Both functions and
as linear functions.
Starting value of is at x=-4 and end value is at x=3.
Starting value:
End value:
Starting value of is at x=3 and end value is at x=6.
Starting value:
End value:
Least range value is 0 at x=-4 and 0 is included in the range because -4 is included in the domain.
Largest range value is 11 at x=6 and 11 is not included in the range because 6 is not included in the domain.
So, the range of the given piecewise function is [0,11).
Therefore, the correct option is A.