What is the length of segment CE if AE = 15 inches and ED = 5 inches and EB = 3 inches?
2 answers:
Answer:
B. 9 inches.
Step-by-step explanation:
We have been an image of a circle. We are asked to find the length of segment CE.
We will use intersecting chords theorem to solve our given problem.
Intersecting chords theorem states that when two chords intersect each other inside a circle, then products of their segment are equal.
Using intersecting chords theorem, we can set an equation as:
Upon substituting our given values in equation, we will get:
Therefore, the measure of CE is 9 inches and option B is the correct choice.
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Answer:
see explanation
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 2, - 6) and (x₂, y₂ ) = (2, - 3) ← 2 points on the line
m = =
, thus
y = x + c ← is the partial equation
To find c substitute either ot the 2 points into the partial equation
Using (2, - 3), then
- 3 = + c ⇒ c = - 3 -
= -
y = x -
← equation of line
Answer:
- 16
Step-by-step explanation:
Average is calculated as
average =
Thus for the given 10 numbers we have
= - 5 ( multiply both sides by 10 )
total = - 50
let the number added be x, then
= - 6 ( multiply both sides by 11 )
total + x = - 66, that is
- 50 + x = - 66 ( add 50 to both sides )
x = - 16
The new number is - 16