Triangle Q R S is shown with exterior angles. Line R Q extends through point D. Line Q R extends through point E. Line Q S exten
ds through point C.
Which angle has a measure equal to the sum of m∠SQR and m∠QRS?
∠RSC
∠SRE
∠DQS
∠QSR
Which angle has a measure equal to the sum of m∠SQR and m∠QRS?
∠RSC
∠SRE
∠DQS
∠QSR
2 answers:
Answer:
Option A.
Step-by-step explanation:
In triangle QRS, Line R Q extends through point D. Line Q R extends through point E. Line Q S extends through point C as shown below.
We need to find an angle that has a measure equal to the sum of m∠SQR and m∠QRS.
According to the exterior angle theorem, the measure of an exterior angle of a triangle is equal to the sum of measures of two opposite interior angles.
Since ∠SQR and ∠QRS are two interior angles of a triangle QRS, so ∠RSC is the exterior angle of opposite to ∠SQR and ∠QRS.
By using exterior angle theorem we conclude that
m∠RSC = m∠SQR + m∠QRS
∠RSC has a measure equal to the sum of m∠SQR and m∠QRS.
Therefore, the correct option is A.
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ANSWER
The function that the given graph corresponds to is
EXPLANATION
The given graph in the attachment has x-intercepts at
These are the solutions of the polynomial function represented by the given graph.
We can write all these solutions as factors to obtain,
The product of all these factors gives us the function whose graph was drawn.
This implies that,
Therefore the correct answer is option C.
The function that the given graph corresponds to is
EXPLANATION
The given graph in the attachment has x-intercepts at
These are the solutions of the polynomial function represented by the given graph.
We can write all these solutions as factors to obtain,
The product of all these factors gives us the function whose graph was drawn.
This implies that,
Therefore the correct answer is option C.