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∆abc has vertices at a(11, 6), b(5, 6), and c(5, 17).
∆xyz has vertices at x(-10, 5), y(-12, -2), and z(-4, 15).
∆mno has vertices at m(-9, -4), n(-3, -4), and o(-3, -15).
∆jkl has vertices at j(17, -2), k(12, -2), and l(12, 7).
∆pqr has vertices at p(12, 3), q(12, -2), and r(3, -2).
(∆abc and ∆xyz), (∆abc and ∆mno), (∆jkl and ∆abc), (∆pqr and ∆xyz) can be shown to be congruent by a sequence of reflections and translations.
(∆abc and ∆xyz), (∆pqr and ∆qyz), (∆jkl and ∆pqr), (∆jkland ∆xyz) can be shown to be congruent by a single rotation.

Assume that the weights of quarters are normally distributed with a mean of 5.67 g and a standard deviation 0.070 g. a vending machine will only accept coins weighing between 5.48 g and 5.82 g. what percentage of legal quarters will be rejected? round your answer to two decimal places.

Jim had 3,067.48 in his checking account he wrote a check to pay for two airplane tickets. his account now has 1,845.24.

On the way home from visiting his family, vincent’s plane cruised at an altitude of 3.2 × 10^4 feet. he had heard that a man named felix baumgartner skydived from an altitude of 1.28 × 10^5 feet. vincent wants to know how much higher felix went on his skydiving trip. question 1 you have already seen how adding numbers works in either scientific notation or standard notation. but can you subtract numbers in scientific notation and get the same results as subtracting in standard notation? to find out, first solve vincent’s problem in standard notation. part a write the cruising altitude of vincent’s plane in standard notation.