Problem-solving / Reasoning At the end of a secretarial course, students were tested on . their typing speeds for
• number of words per minute typing their own text
• number of words per minute when typing words from an audio file.
This back to back stem and leaf diagram shows their results.
Audio Own text
QIf hint The
9 6 5 2 1 3 4 5 7
circled value is 52.
9 7 6 3 3 0 2 2 3 3 4 4 5 7 8 8 9
8 8 7 7 7 6 5 5 430 4 167
425
Key: 512 means 25 words per minute for audio
1211 means 21 words per minute for own text
a The course leader says, "Most of the audio scores are between 40 and 49.'
Write a sentence like this for the own text scores.
b Work out the median and range for:
i audio
li own text.

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

Bis the correct answer