Find angle 1, angle 2, and angle 3

61° , 151° , 12°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180° , then

∠ 1 + 29° + 90° = 180°

∠ 1 + 119° = 180° ( subtract 119° from both sides )

∠ 1 = 61°

∠ 2 and 29° are adjacent angles on a straight line and sum to 180° , then

∠ 2 + 29° = 180° ( subtract 29° from both sides )

∠ 2 = 151°

Using sum of angles in a triangle = 180°

∠ 3 + 17° + 151° = 180°

∠ 3 + 168° = 180° ( subtract 168° from both sides )

∠ 3 = 12°

answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

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answers

rauschg

rauschg · hand

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step-by-step explanation:

85.560%

step-by-step explanation:

conditional probability is defined as:

p(a|b) = p(a∩b) / p(b)

in other words, the probability that a occurs, given that b has occurred = the probability that both a and b occur / the probability that b occurs.

in this example:

p(turns 64 | turns 44) = p(turns 64 & turns 44) / p(turns 44).

if someone turns 64, they must have already turned 44, so:

p(turns 64 | turns 44) = p(turns 64) / p(turns 44)

on page 42, we see that of the original 100,000, 94944 turn 44, and 81234 turn 64.   therefore:

p(turns 64 | turns 44) = 81234 / 94944

p(turns 64 | turns 44) = 0.85560