HELP PLEASE!! Armando, Simron, and Courtney are ordering pizzas and sodas for a party. There are two kinds of pizza: one topping and two toppings. They will be ordering small drinks. Armando orders 8 one-topping pizzas, 7 two-topping pizzas, and 16 small drinks for a total of $147.49. Simron orders 10 one-topping pizzas, 7 two-topping pizzas, and 17 small drinks for a total of $164.28. Courtney orders 2 one-topping pizzas, 8 two-topping pizzas, and 10 small drinks for a total of $104.40.

Here is the system of equations that represents the situation:

Armando 8x + 7y + 16z = 147.49

Simron 10x + 7y + 17z = 164.28

Courtney 2x + 8y + 10z = 104.40

If all the bills included tax, what was the purchase price for a one topping pizza?

A. $9.95
B. $7.95
C. $8.95
D. $6.95

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