Jada has a vegetable garden. Two-thirds of the garden is made up of tomato plants. Four-fifths of the tomato plants are beefsteak tomatoes.

(a) This model represents Jada’s garden. Shade the model to show the portion of the garden that is made up of beefsteak tomatoes
(b) Use the model in part (a) to find the fraction of Jada’s garden that is made up of beefsteak tomatoes. Explain your answer.

(c) Write an equation to find the fraction of Jada’s garden that is made up of beefsteak tomatoes.

Intersecting secant-tangent theorem states that if a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.so to break it down: 1. pq acts as the tangent and ps as the secant with an intersection at p.sr = 21rp = 3x + 3pq = 4x + 4following to equation: tangent squared = the two segments multiplied by each otherso (4x + 4) ^ 2 = (3x + 3) • (21) simplifies to 16x^2 - 31x - 47 = 0 or (16x - 47)(x + 1) x = -1 or x = 47/162. pq acts as the tangent and ps as the secant with an intersection at p (again! )sr = 16rp = xpq = 15(15) ^ 2 = 16 • x225 = 16xx = 225/163. the interesting chords are proportional to each other so a ratio is possible to set up: ap dp 10 3 + x = = —— = pc pb 8 xcross multiple to get 10x = (3 + x)(8)x = 12