Four angles are in the ratio 2:3:4:11 The largest angle is 198 degrees show the four angles will fit together at a point with no gaps

The four angles will fit together at a point with no gaps.

Step-by-step explanation:

Given: The ratio of four angles 2:3:4:11.

Let the angles be 2x , 3x, 4x and 11x.

Larget angle= 11x

As per given,

Then,

All angles are :

Sum of all angles =  they

Hence, the four angles will fit together at a point with no gaps.

answer is 8x+24

area of vanessa's patio = length × width

given, length = (3x² + 5x + 10)

width = (x² - 3x - 1)

area of vanessa's patio = (3x² + 5x + 10)(x² - 3x - 1)

= 3x²(x² - 3x - 1) + 5x(x² - 3x - 1) + 10(x² - 3x - 1)

= 3x⁴ - 9x³ - 3x² + 5x³ - 15x² - 5x + 10x² - 30x - 10

= 3x⁴ - 4x³ - 8x² - 35x - 10

hence, expression of vanessa's patio = (3x⁴ - 4x³ - 8x² - 35x - 10)