Lines s, t, and u are perpendicular bisectors of the sides of fgh and meet at j. if jg = 2x + 2, jh = 2y - 2, jf = 10 and hi = 2z - 4, find x, y, and z.

question 16 options:

a) x = 4, y = 6, z = 7

b) x = 6, y = 4, z = 3

c) x = 6, y = 4, z = 7

d) x = 3, y = 7, z = 3

x = 4, y = 6, z = 7

Step-by-step explanation:

Given that for a triangle FGH, lines s, t and u are perpendicular bisectors.

They concur at the point J.

We know that the point of concurrence of perpendicular bisectors is the circmcenttre of the triangle.  Hence we will have J equidistant from the three vertices.  In other words,

JG = JH=JF

Now to find Z we make use of HI.

So option a is right answer

x = 4, y = 6, z = 7

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)

df =

both have same length