The school store is running a promotion on school supplies. Different supplies are placed on two shelves. You can purchase 2 items from shelf A and 5 from shelf B for $20. Or you can purchase 5 items from shelf
A and 2 from shelf B for $29. This can be represented by the following system of equations,
{
2A + 5B = 20
5A + 2B = 29
Solve the system of equations by multiplying first.
The price is $. on shelf A and 5 on shelf B.
If the supplies on shelf A are normally $8 each and the supplies on shelf B are normally $3 each, how
much will you save on each package plan?
You save $ when buying the first package and $ for buying the second package.

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