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

Step-by-step explanation:

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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°

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.

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