The measures of the angles of a triangle are in the ratio 2.3.4. What is the number of degrees in the measure of the largest angle?

let ratios be x

2x +3x+4x=180(Sum of triangles)

x=20`

2X=20

x=20×2

X=40

3x=20

X=60

4x=20

x=80

largest angle is 80

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80°

Step-by-step explanation:

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

sum the parts of the ratio, 2 + 3 + 4 = 9 parts

Divide 180° by 9 to find the value of one part of the ratio

180° ÷ 9 = 20° ← value of 1 part of ratio, then

2 parts = 2 × 20° = 40°

3 parts = 3 × 20° = 60°

4 parts = 4 × 20° = 80°

The measure of the largest angle is 80°

f(x) has value 150 at x= 0

and 0 at x= 3

so d(f(x))/dt = slope = -150/3 = -50

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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