Use the relationship between the angles in the figure to answer the question. which equation can be used to find the value of x? drag and drop the equation into the box. x = 67x = 52x=180−(67+52)x = 67 + 52x=90−67−52 three lines making six angles with the left most angle at fifty two degrees the top middle angle at sixty seven degrees and the angle between them at x degrees

 Second option is correct. i.e.

Step-by-step explanation:

Since we have given that

Measure of left most angle = 67

Measure of top middle angle = 52

Let the angle between them be x degrees

As we know that "Sum of three angles of a triangle is 180 ".

So, it becomes,

Hence, Second option is correct. i.e.

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)