A12-foot ladder is leaning against a wall. the distance from the base of the wall to the base of the ladder is feet. given this information, what can be determined about the triangle formed by the ground, wall, and ladder? check all that apply. the triangle is isosceles. the leg-to-hypotenuse ratio is 1: . the leg-to-hypotenuse ratio is 1: . the nonright angles are congruent. the ladder represents the longest length in the triangle.

10 ! a train starts from grand city and travels toward belleville 388 miles away. at the same time, a train starts from belleville and runs at the rate of 47 miles per hour toward grand city. they pass each other 4 hours later. find the rate of the train from grand city.

Solve each quadratic equation by factoring and using the zero product property. x^2 - 8x + 30 = 3x

Aking and his army will attempt to capture a fortress. the left and right flanks break off from the main group to attack the west and east guard towers. suppose the left flank has a 60% chance of success and the right flank has a 75% chance of success, independently of one another. if both flanks capture their respective targets, then the king has a 98% chance of successfully taking the fort. if, however, only the left flank captures its tower, the king has an 80% chance of success; if only the right flank succeeds, the king has a 50% chance. if both flanks fail, then the king's chance of capturing the fort drops to 20%. it turns out the king captures the fort. what is the probability that one, and only one, flank was successful (either the left, or the right, but not both)? (round your answer to 3 decimal places)