Helppppp! Angles PTQ and STR are vertical angles and congruent. Circle T is shown. Line segments T P, T Q, T R, and T S are radi
i. Lines are drawn to connect the points on the circle and form secants P Q, Q R, R S, and S P. Angles P T Q and S T R are congruent. Which chords are congruent? QP and SR QR and PR and RS PR and PS
2 answers:
Answer:
Step-by-step explanation:
Given: ∠PTQ ≅ ∠STR and TP, TQ, TR and TS are radii of the circle.
If two angle are equal, then they are equal in size and their measurements are equal.
IF ∠PTQ ≅ ∠STR then they are also equal in their measurements.
Now, In ΔPTQ and ΔSTR
∠PTQ ≅ ∠STR (vertically opposite angle)
(Radius of the circle are equal and congruent in length)
(Radius of the circle)
∴ ΔPTQ ≅ ΔSTR (SAS postulate)
∴ (corresponding sides of congruent triangle are equal and congruent).
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Answer: The answer is (a) sec A = 11 over 3.
Step-by-step explanation: Given that Cosine of an angle 'A' is 3 over 11,
i.e.,
And we need to find which one of the given four options is correct.
We have the following relations between cosine, secant and cosecant of an angle from trigonometry.
Therefore,
and
Thus, the correct option is (a) sec A = 11 over 3.