Carmen buys a pack of crackers for $0.75 from the vending machine she pulled a $1 bill in the machine what combination of coins including pennies could carmen get in change

You could use 2 nickles 1 dimes and 5 pennys. Hope it helped

You could get:
2 dimes and 1 nickel
Or
2 dimes and 5 pennies
Or
1 dime and 3 nickels
Or
1 dime, 2 nickels, and 5 pennies
Or
1 dime and 15 pennies
Or
2 nickles and 15 pennies
Or
1 nickel and 20 pennies
Or
25 pennies

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

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