Answers
Answer:
Using the property of intersecting secant:-
[tex](DE)(CE)=(FE)(LE)[/tex]
[tex](4)(x-1+14)=(5)(x-4+5)[/tex]
[tex]4(x+3)=(5x+1)[/tex]
[tex]4x+12=5x+5[/tex]
[tex]4x+-5x=5-12[/tex]
[tex]-x=-7[/tex]
[tex]x=7[/tex]
[tex]So, CD=x-1=7-1=6[/tex]
[tex]so,~your ~answer ~is ~B) ~6[/tex]
----------------------------hope it helps...have a great day!!By intersecting secants theorem, the measure of CD is 6 units.
What is intersecting secants theorem?
The theorem states that when two secants intersect at an exterior point, the product of the one whole secant segment and its external segment is equal to the product of the other whole secant segment and its external segment.
For the given situation,
The diagram shows the circle with the two secants intersecting at the exterior point.
By intersecting secants theorem,
[tex](CE)(DE)=(LE)(FE)[/tex] -------- (1)
Here, CE = CD + DE
⇒ [tex]CE = (x-1)+4[/tex]
DE = 4
LE = LF + FE
⇒ [tex]LE = (x-4)+5[/tex]
FE = 5
On substituting the above values in 1,
⇒ [tex](x-1+4)(4)=(x-4+5)(5)[/tex]
⇒ [tex](x+3)(4)=(x+1)(5)[/tex]
⇒ [tex]4x+12=5x+5[/tex]
⇒ [tex]5x-4x=12-5[/tex]
⇒ [tex]x=7[/tex]
Thus CD = [tex]x-1[/tex]
⇒ [tex]7-1=6[/tex]
Hence we can conclude that by intersecting secants theorem, the measure of CD is 6 units.
Learn more about intersecting secants theorem here
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Answer:
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Step-by-step explanation:
To find the slope, we are going to use the slope equation as follows
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Answers
Answer:
See Explanation
Step-by-step explanation:
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Answers
Answer:
x = √3
Step-by-step explanation:
Find the diagram attached
Given
Opposite = √3
Adjacent = x
Acute angle theta = 45degrees
According to SOH CAH TOA;
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Answer:
[tex]\large\fbox{\green{\underline{Cylinder P :- \blue{ 794.0275 in ³}}}}[/tex]
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Step-by-step explanation:
Volume of cylinder = π × ( radius ) ² × h
1.) Here, radius = 4.25 in and height = 14 in.
Volume of cylinder = π × ( radius ) ² × height
substitute the values
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now, simplify
= 3.14 × 18.0625 in²× 14 in.
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multiplying the value
= 794.0275 in³
[tex] \small \: \: \sf \: \fbox{ cirumference \: of \: cylinder \: P \: = {794.0275 in³}}[/tex]
2.) Here, radius = 7 in. and height = 8.5 in.
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Simplify
= 3.14 × 49 in² × 8.5 in.
multiply the values
= 3.14 × 416.5 in³
[tex] \small \sf \fbox{Volume of cylinder Q = 1,307.81 in ³}[/tex]
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Answer:
answer to the question is 10 units..
Answer:
10 units
Step-by-step explanation:
(0 , 6) = (x1 , y1)
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=[tex]\sqrt{(8 - 0)^2 + (0 - 6)^2}[/tex]
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=[tex]\sqrt{64 + 36}[/tex]
=[tex]\sqrt{100}[/tex]
=10 units
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Answers
Answer:
$8,711.99
Step-by-step explanation:
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A =P(1+r/n)^nt
Principal P = $4000
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t is the time = 15years
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Substitute
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Answers
Answer:
b = -6 (Answer d)
Step-by-step explanation:
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4 = -2(-5) + b, or
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Step-by-step explanation:
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25 (price of 1 mug)
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Round your
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Answers
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Answer:
A.
Step-by-step explanation:
Factor out x^2-3x-40. Know that the zeroes of a function multiply to be equal to the constant (-40) and add up to the coefficient of the x term (-3). The two numbers that do that are -5 and 8. Recall that to be zeroes, at least one of the x-values must make the equation equal 0. So if x=-5, (x+5) is the term that would be 0.
You could also multiply the factored forms that are given to find the correct one.
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Answer:
4 (100-250 words with a 100-word minimum)
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Answers
The length of side of the rectangle is 6 mm
Since the rectangle has an area of A = 36 mm² and the rectangle has all its sides the same length, then, it is a square. We know that the area of a square A = L² where L = length of sides of square.
Length of side of rectangle
Since we require the length of sides of the rectangle, we make L subject of the formula.
So, L = √A
Now, since the area of the rectangle, A = 36 mm², substituting the value of the variable into the equation, we have
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L = √(36 mm²)
L = 6 mm
The length of side of the rectangle is 6 mm
Learn moe about rectangles here:
https://brainly.com/question/17297081
If f(x) = 2x²+2 and g(x) = x² - 1 ,find (f- g)(x).
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Answers
Step-by-step explanation:
(F-g) (X)
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Answers
Answer:
Step-by-step explanation:
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Answers
14x10x34
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URGENT
Choose the true statement below for the following equation: y = 10x + 2
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The equation does represent a function, but it is not one-to-one.
The equation represents a one-to-one function.
Answers
Answer:
the last statement is true
Step-by-step explanation:
the equation is in the form mx+c which means it is a stright line and will only cross the x axis once
Answer:
The equation represents a one-to-one function.
Step-by-step explanation:
y = 10x + 2
is a line with a slope of 10
it is a function since each x value has one and only one y value
This passes the vertical line test
It is one-to-one
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This passes the horizontal line test
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Answers
Answer:
Neither
Step-by-step explanation:
We can determine from their equations whether two lines are parallel by comparing their slopes. If the slopes are the same and the y-intercepts are different, the lines are parallel. If the slopes are different, the lines are not parallel. Unlike parallel lines, perpendicular lines do intersect. So if the slopes have reciprocals, they are perpendicular. Otherwise, they are neither.