The figure shows secants ps and pt and tangent qr intersecting at point p. triangle stp is an isosceles triangle with legs ps and pt find x and y

x°=70° and y°=40°

Step-by-step explanation:

We are given that  secants PS and PT and tangent QR intersecting at point P. Triangle STP is an isosceles triangle with legs PS and PT.

Now, we know that , thus

⇒2m∠PST=m(TP)

⇒2m∠PST=140°

⇒m∠PST=70°

Since, the ΔPST is an isosceles triangle with SP=TP, therefore

∠PST=∠PTS=70°

Now,in ΔPST, applying the angle sum property, we have

∠PST+∠PTS+∠SPT=180°

⇒70°+70°+∠SPT=180°

⇒140°+∠SPT=180°

⇒∠SPT=180°-140°

⇒∠SPT=40°

therefore, y°=40°

Now, using  the  theorem that angle made with the tangent is equal to the interior angle of the inscibed triangle, thus

x°=∠PTS

⇒x°=70°

Thus, the value of x and y is: 70 and 40 respectively.

175

step-by-step explanation:

2 inches x 10 miles = 200 miles - 3 inches = 175

the answer is thin because within context, the stanza concludes the and frail tone the people have toward each other, and the fact that it would be thin, makes the most sense compared to "pliable" or "not hard or firm to the touch". hope this , good luck.

step-by-step explanation:

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