Which pair of triangles must be similar? (hint: try drawing the triangles in the space below) a. Triangles 1 and 2 each have a 35 angle. b. Triangles 3 and 4 are both isosceles. They each have a 40 angle. C. Triangle 5 has a 30" angle and a 90 angle, Triangle 6 has a 30 angle and a 70" angle. D. Triangle 7 has 50" angle and a 25" angle Triangle 8 has a 50 angle and a 105 angle.

An optical inspection system is used to distinguish among different part types. the probability of a correct classification of any part is 0.92. suppose that three parts are inspected and that the classifications are independent. let the random variable x denote the number of parts that are correctly classified. determine the probability mass function of x. round your answers to four decimal places (e.g. 98.7654). x f(x) 0 1 2 3

Find the area of the triangle formed by the origin and the points of intersection of parabolas y=−3x^2+20 and y=x^2−16.

What is the volume of the cone to the nearest cubic millimeter? (use π  = 3.14) a) 46 mm3 b) 128 mm3 c) 183 mm3 d) 275 mm3 diameter = 5 mm height = 7 mm how do you do this problem step by step?