Answer:
D. 264°
Step-by-step explanation:
When a tangent and a secant, two secants, or two tangents intersect outside a circle then the measure of the angle formed is one-half the positive difference of the measures of the intercepted arcs. Therefore,
60° = 1/2[(18x - 6)° - (5x +17)°]
60° * 2 = (18x - 6 - 5x - 17)°
120° = (13x - 23)°
120 = 13x - 23
120 + 23 = 13x
143 = 13x
143/13 = x
11 = x
x = 11
(18x - 6)° = (18*11-6)°= (198 - 6)° = 192°
(5x +17)° = (5*11 +17)° =(55+17)° = 72°
m (arc KNL) = (18x - 6)° + (5x +17)° = 192° + 72°
m (arc KNL) = 264°
Answer:
315
Step-by-step explanation:
7/4 of 180°
= 1.75 * 180
= 315°
Answer:
S.A = 147.35 cm²
Step-by-step explanation:
Surface area of the triangular pyramid = base area + ½(perimeter of base*slant height)
Base area = ½*bh
b = 7 cm
h = 6.1 cm
Base area = ½*7*6.1 = 21.35 cm²
Perimeter of triangular base = 7 + 7 + 7 = 21 cm
slant height = 12 cm
Plug in the values into the equation
S.A = 21.35 + ½(21*12)
S.A = 21.35 + 126
S.A = 147.35 cm²
