Quadrilateral STUV with vertices S(−5, −2), T(−4, 7), U(0, 5), and V(3, −6) is dilated by a scale factor of 53. Which statement is false?

A Quadrilateral STUV is larger than quadrilateral S′T′U′V′.
A , Quadrilateral , STUV , is , larger, than quadrilateral , S′T′U′V′, .

C The algebraic representation of the dilation is (x, y)→(53x,53y)C , The algebraic representation of the dilation is open paren x comma y close paren rightarrow open paren 5 thirds x comma 5 thirds y close paren

D Quadrilateral STUV is smaller than quadrilateral S′T′U′V′

sec ф = 5/3 (quadrant 4)

let x = base

y = perp

z = hypotenuse

sec ф = hypotenuse/base = 5/3

⇒ z = 5 and x = 3

finding y:

z² = x² + y²

5² = 3² + y²

y² = 25-9

y² = 16

y = 4

now finding all other geometric functions of theta:

sin ф = y/z = 4/5

sin ф = -4/5 (sin is negative in the 4th quadrant)

cos ф = x/z = 3/5

cos ф = 3/5 (cos is positive in 4th quadrant)

tan ф = y/x = 4/3

tan ф = -4/3 (tan is negative in 4th quadrant)

cosec ф = z/y = 5/4

cosec ф = -5/4 (cosec is negative in the 4th quadrant)

cot ф = x/y = 3/4

tan ф = -3/4 (tan is negative in 4th quadrant)

step-by-step explanation:

step-by-step explanation:

x^2 -12x + 36 + y^2 = 36

x^2 + y^2 = 12x

r^2 = 12rcos(theta)

r = 12 cos(theta)

i think it is 70

step-by-step explanation: