You can factor out 45 out of both 90 and 45.
If we factor out 45, we are given the following...
45(2 + 1) because 45 goes into 90 2 times and 45 once.
3x2(4x<span> – 3) + 1(4</span>x<span> – 3) </span>
Answer:
<u>The length of the longer segment of the 50 cm chord = 40</u>
Step-by-step explanation:
let the length of the longer segment of the 50 cm chord = x
so, the other segment = 50 - x
A chord of 50 cm bisects a chord of 40 cm
using the Intersecting Chords Theorem
so, x(50-x) = 20 * 20
50x - x² = 400
x² - 50x + 400 = 0
(x - 40)(x - 10) = 0
x = 40 or x = 10
<u>So, the the length of the longer segment of the 50 cm chord = 40</u>