1. Clara has taken 3 hours to type 16 sheets of her literature work. How many could he type in an hour and a half? 9
10
6
8

2.If a cyclist takes 2.5 hours to reach a city at a speed of 30 km / h. How long will it take to reach a speed of 25 km / h?
4
2
3
5

3. Walking at 60 steps per minute it takes me 25 minutes to get home. How long does it take at 80 steps per minute?

15 minutes
24 minutes
18 minutes 45 seconds
20 minutes 30 seconds

4. Six friends give each other a box of cookies, each touching 15 cookies. How many cookies would they get if they were nine friends?
10
15
8
12

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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