<em><u>Hey</u></em><em><u>!</u></em><em><u>!</u></em>
<em><u>They</u></em><em><u> </u></em><em><u>are</u></em><em><u> </u></em><em><u>adjacent</u></em><em><u> </u></em><em><u>angles</u></em><em><u>.</u></em>
<em><u>Both</u></em><em><u> </u></em><em><u>angles</u></em><em><u> </u></em><em><u>have</u></em><em><u> </u></em><em><u>common</u></em><em><u> </u></em><em><u>side</u></em><em><u> </u></em><em><u>and</u></em><em><u> </u></em><em><u>vertex</u></em><em><u>.</u></em>
<em><u>Hope</u></em><em><u> </u></em><em><u>it</u></em><em><u> </u></em><em><u>will</u></em><em><u> </u></em><em><u>help</u></em><em><u> </u></em><em><u>u</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>
Answer:
r = 12
Step-by-step explanation:
From the figure attached,
QP is a tangent to the circle O at the point P.
Therefore, by the property of tangency,
OP ⊥ QP
By applying Pythagoras theorem In right triangle QPO,
(Hypotenuse)² = (Leg 1)² + (Leg 2)²
(OQ)² = (OP)² + (PQ)²
(25 + r)² = (35)² + r²
625 + r² + 50r = 1225 + r²
50r = 1225 - 625
50r = 600
r = 12
Therefore, r = 12 units is the answer.
Answer:
yes, it is a right triangle
Step-by-step explanation:
the other two angles are 35 and 55 degrees
Interest earned = rate charged × amount invested
Interest = 3/100 × $3000 = $90
Account balance after one year = Amount invested + Interest earned
Account balance after one year = $3000 + $90 = $3090
