A conjecture and the flowchart proof used to prove the conjecture are shown. Given: J K L M is a parallelogram. Ray L N bisects angle K L P. Prove: Angle 1 is congruent to angle 3. Art: Parallelogram J K L M. Two rays L N and LP share an endpoint at vertex L. Ray L N extends horizontally right, continuing segment M L and forming an exterior angle K L N. Angle K L N is labeled 2. Ray L P extends diagonally right to the ray L N at vertex forming an exterior angle N L P. Angle N L P is labeled as 3.

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Acable company wants to provide cell phone service for residents on an island. the function for the cost of laying the cable from the island to the mainland is c(x)= 6.500 square root x2+4, where x represents the length of the cable in feet. what are the domain and range of the function? a) domain: all real numbers range: all real numbers greater than or equal to 17,000 b) domain: all real numbers greater than or equal to 0 range: all real numbers greater than or equal to 17,000 c) domain: all real numbers greater than or equal to 0 range: all real numbers greater than or equal to 13,000 d) domain: all real numbers greater than or equal to 13,000 range: all real numbers greater than or equal to 0

In δabc, if the length of side b is 3 centimeters and the measures of ∠b and ∠c are 45° and 60°, respectively, what is the length of side c to two decimal places?

The graph of which equation includes the points (0, 10) and (10, 11)? y = 10x + 11 y = x + 10 y= 1/10x + 10 y = 1/10x + 11