As per the Intersecting Chords theorem, if two chords cross in a circle, the products of the chord segments' measures are equal. The measure of the line segment is DF is 14 units.
<h3>What is Intersecting Chords theorem?</h3>
If two chords cross in a circle, the products of the chord segments' measures are equal.
As per the Intersecting Chords theorem, the product of DF and FB will be equal to the product of CF and FA, therefore,
DF×FB = CF×FA
(x+8) × 8 = 16 × 7
(x+8) = (16×7)/8
(x+8) = 14
Hence, the measure of the line segment is DF is 14 units.
Learn more about Intersecting Chords theorem:
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For the equation to be true, the events A and B must be mutually exclusive.
When you evaluate the equation you plug in the numbers or replace the variables with the numbers it’s giving you.
-8(2)(-32) - 2(-8) + 4
-16(-32) - 16 + 4
512 + 20
= 532
Hope this helps!
Answer:
The average speed of the plain was 800 miles/h.
Step-by-step explanation:
To solve this problem we first need to convert the time the tain took to finish the journey to hours. To do that we will divide the part that is in minutes by 60 and sum to the part that is in hours, we have:
time = 3 + 33/60 = 3 + 0.55 = 3.55 hours
The average speed is given by the following formula:
average speed = distance/time
average speed = 2840/3.55 = 800 miles/h
The average speed of the plain was 800 miles/h.
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