Find mKNLˆ. A. 264 B. 196 C. 247 D. 184

Mathematics

1 answer:

nata0808 [166]3 years ago

5 0

Answer:

A. 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°

You might be interested in

The diameter of a circle is 38 centimeters. What is the circle’s circumference?

nasty-shy [4]

The answer that I got is

3 0

3 years ago

Read 2 more answers

For what values of h and k does the linear system have infinitely many solutions? 2x1 + 5x2 = −1 hx1 + kx2 = 7

Kruka [31]

Answer:

The values of $h$ and $k$ for a linear system with infinitely many solutions are -2 and 5, respectively.

Step-by-step explanation:

Let $2\cdot x_{1}+5\cdot x_{2} = -1\cdot h\cdot x_{1} + k\cdot x_{2} = 7$ , if this linear system has infinitely many solutions, then the following conditions must be met: