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.
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Answer:
constant
Step-by-step explanation:
A1 is the 1st term
r is the difference, they can say "r" or "d" for the difference
1st a1 is the first term = -3
2nd "r" is the difference between each consecutive terms (coming after each other) = 1.5
the rule to get any term of the sequence as we add 1.5 each time is --> a1+(n-1)*d
a1 --> 1st term , n --> order of the term u want whether 2nd, 3rd , 25th
d --> difference
so to get the 2nd--> -3+(2-1)*1.5= -1.5
to get the 3rd --> -3 +(3-1)*1.5 = 0
<span>and so on </span>
Answer:
n = 1, 4
Step-by-step explanation:
Step 1: Write equation
n² - 5n + 4 = 0
Step 2: Solve for <em>n</em>
<u>Factor:</u> (n - 4)(n - 1) = 0
<u>Find roots:</u> n = 1, 4
Step 3: Check
<em>Plug in n to verify if it's a solution.</em>
1² - 5(1) + 4 = 0
1 - 5 + 4 = 0
-4 + 4 = 0
0 = 0
4² - 5(4) + 4 = 0
16 - 20 + 4 = 0
-4 + 4 = 0
0 = 0
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