In the given diagram , TY is a tangent to the circle TVS . If <SVT = 48° and |VS| = |ST| . What is < VTY.
2 answers:
Answer:
∠VTY = 84°
Step-by-step explanation:
because ΔTSV is isosceles (ST = SV) then ∠VTS = ∠SVT = 48°
Then ∠VST = 84° (180 - 48 - 48 = 84)
Well, I'm going back to the picture is worth a thousand words again.
Sketch attached:
A line from S to the center bisects ∠VST into two 42° angles.
A line from T to the center forms a 42° angle with line ST.
48°-42° = 6° = angle from perpendicular line CTR to line VT.
90° - 6° = 84° for ∠VTY
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Answer:
C. 6
Step-by-step explanation:
Recall that inverse variation is given by:
Where <em>k</em> is the constant of variation.
We know that <em>y</em> = 48 when <em>x</em> = 3. Substitute:
Solve for <em>k: </em>
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Hence, our equation is:
We want to find <em>x</em> when <em>y</em> = 24. Substitute:
Cross-multiply:
Divide both sides by 24. Hence:
Our answer is C.