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1 answer:
Diagonals of a parallelogram bisects the parallelogram into congruent
triangles.
The measure of ∠SRV is<u> 48°</u>
Reasons:
The given parameters are;
m∠TUV = 78°
m∠TVU = 54°
The drawing of the quadrilateral RSTU is attached.
From the figure, we have;
m∠TUV = m∠SUT by reflexive property
m∠SUT = 78°
Diagonal SU is a common transversal of the parallel sides TU and RS
Therefore;
∠SUT ≅ ∠RSU by alternate interior angles theorem
Therefore;
m∠SUT = m∠RSU by definition of congruency
m∠RSU = 78°
∠TVU ≅ ∠SVR by vertically opposite angles theorem
m∠TVU = m∠SVR by definition of congruency
m∠SVR = 54°
m∠RSU + m∠SVR + m∠SRV = 180° by angle sum property of a triangle
m∠SRV = 180° - (m∠RSU + m∠SVR)
m∠SRV = 180° - (78° + 54°) = 48°
<u>m∠SRV = 48°</u>
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Answer:
0.6 = 60% probability that he or she studies on a weeknight.
Step-by-step explanation:
We solve this question treating these events as Venn probabilities.
I am going to say that:
Probability A: Probability of a student studying on weeknights.
Probability B: Probability of a student studying on weekends.
Forty-two percent of students said they study on weeknights and weekends
This means that
47% said they studied on weekends
This means that
65% said they study either on weeknights or weekends.
This is
If you were to pick one student at random, what is the probability that he or she studies on a weeknight?
This is P(A), and the equation used is:
Considering the values we have:
0.6 = 60% probability that he or she studies on a weeknight.