Side angle side, angle angle angle, ot angle side angle
Answer:
<u>60+14.35=88.27</u>
Step-by-step explanation:
5x12 for the rectangle on the right, then for the circle, using the formula A=πr², I get 28.27, which you divide by 2 because you only need half of the circle, and you get 88.27. I calculated the radius by subtracting 12-6 and then dividing that in half because the radius is half of the distance to the other end of the circle. Then you get the radius of 3, then plug it into the formula to get π(3)², which is just 3.14(9), and you get 28.27.
Answer:
x = 50
Step-by-step explanation:
Since MNP is a tangent to the circle at N, then
∠ ONP = 90° , so
∠ ONL = 90° - 55° = 35°
OL = ON ( both radii of the circle )
Thus Δ ONL is isosceles and the base angles are congruent
∠ OLN = ∠ ONL = 35°
JKLN is a cyclic quadrilateral whose opposite angles are supplementary, that is
∠KJN + ∠ KLN = 180 , substitute values
95 + 35 + x = 180
130 + x = 180 ( subtract 130 from both sides )
x = 50
