(3x + 8) x (5x – 20)
(5x + 4y)
5. part
find the value of each variable.
(1 point)
x = 14, y = 15
x = 14, y = -5
x=24, y =-10
x = 24, y=-5
part
find the measure of the unlabeled angle in the previous question.
(1 point)
the angle measures 100".
the angle measures 50
the angle measures 80'.
the angle measures 130'.
6. name two pairs of congruent angles.
point

Arley is building a model of a city map. in one part of the city, three roads form a right triangle, which harley draws as triangle abc, with the following measures: m∠b=90° and m∠a=30°. in his scale model, the hypotenuse of triangle abc, ac¯¯¯¯¯¯¯¯, has a length of 817−−√ cm. what is the value of a (the length of bc¯¯¯¯¯¯¯¯)?

Analyze the graph of the cube root function shown on the right to determine the transformations of the parent function. then, determine the values of a, h, and k in the general equation.

Assume that there is a 11% rate of disk drive failure in a year. a. if all your computer data is stored on a hard disk drive with a copy stored on a second hard disk drive, what is the probability that during a year, you can avoid catastrophe with at least one working drive? b. if copies of all your computer data are stored on four independent hard disk drives, what is the probability that during a year, you can avoid catastrophe with at least one working drive?