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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Related Questions
I need help on number 1
Answers
Answer:
V =960 in ^3
Step-by-step explanation:
V = l*w*h
V = 12*8*10
V =960 in ^3
Explanation:
Formula is V=L•W•H
960= 12 • 8 • 10
In circle P, BC = 24 ft. What is the length of arc AC?
A)π
B)2π
C)4π
D)8 π
Answers
Answer:
b
Step-by-step explanation:
A booth at the mall sells Insulated
mugs and tumblers. The booth
made $880 by selling 8 mugs and
17 tumblers yesterday. If the price
of a tumbler is $15 more than the
price of a mug, what is the price of
each item?
Answers
Answer:
25 (price of 1 mug)
40 ( price of 1 tumbler)
Step-by-step explanation:
15 x 17 = 255
880 - 255 = 625
625 ÷ (17+8) = 25 (price of 1 mug)
25+15 = 40 ( price of 1 tumbler)
Consider the equation y = -2x + b. Find the value of b if the line passes through (-5, 4).
Select one:
a. b = -3
b. b = 4
c. b = 2
d. b = -6
Answers
Answer:
b = -6 (Answer d)
Step-by-step explanation:
The slope-intercept equation is y = -2x + b, and we know that the line passes through (-5, 4). Substitute -5 for x and 4 for y, to obtain:
4 = -2(-5) + b, or
4 = 10 + b, or
b = -6 (Answer d)
PLEASE HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answers
Answer:
77 - 2n
Step-by-step explanation:
77 is being subtracted by a number doubled. Therefore, 77 - 2n is the expression.
Read more at Answer.Ya.Guru – https://answer.ya.guru/questions/4635862-77-decreased-by-twice-of-a-number.html
The triangle is isosceles find the length h of side x in simplest radical form with a rational denominator
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;
tan theta = opp/adj
tan 45 = √3/x
x = √3/tan45
x = 1
x = √3
Hence the value of x in its simplest radical form is √3
a rectangle has an area of 36mm^2. all sides are the same length. what is the length of a single side.
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
L = √A
L = √(36 mm²)
L = 6 mm
The length of side of the rectangle is 6 mm
Learn moe about rectangles here:
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pls help me on this i don't know what to do
Answers
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.
If f(x) = 2x²+2 and g(x) = x² - 1 ,find (f- g)(x).
A. 3x² +3
B. 3x² +1
C. x² +1
D. x² +3
Answers
Step-by-step explanation:
(F-g) (X)
= f(x) - g(x)
(2x² + 2 )-(x²-1) =
3x²+3
Please help me with this
Answers
Answer:
6y
Step-by-step explanation:
The two figure are squares with the same area
side = √area = √y^2 = y (with y>0 because a length can‘t be negative)
perimeter = side * 6 = y * 6 = 6y
Determine wether the lines given are parallel, perpendicular or neither
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.
PLEASE HELP I REALLY NEED THIS ANSWERED, I NEED THE VOLUME OF BOTH CYLINDERS PLZ DONT USE AN ONLINE CALCULATOR THEY GIVE THE WRONG ANSWER
Answers
Answer:
[tex]\large\fbox{\green{\underline{Cylinder P :- \blue{ 794.0275 in ³}}}}[/tex]
[tex]\large\fbox{\green{\underline{Cylinder Q :- \blue{1,307.81 in³}}}}[/tex]
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
Volume of cylinder P = 3.14 × ( 4.25 in ) ²×14 in.
now, simplify
= 3.14 × 18.0625 in²× 14 in.
= 3.14 × 252.875 in³
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.
Volume of cylinder Q = π × ( radius ) ² × height
substitute the values
Volume of cylinder Q = 3.14 × ( 7 in )² × 8.5 in.
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]
Can someone help me out
Answers
Answer:
4 (100-250 words with a 100-word minimum)
I need help with this question please
Answers
Answer:
angel BAC=CBD
BAC=43°because CBD also 43°
Leo is visiting New York City to see the Empire State building. He knows that the Empire State building is 1,484 feet tall. When he spots it, he stops and has to look up at an angle of 84.7 degrees to see the top. How far away from the base of the Empire State building is he?
Answers
Can someone explain how this is wrong? i just dont get it.
Answers
Reason: Abby started at 4y (which is the offset) So you do is 22-4 and it gives 18. So abby climbed 18 feet
find the measure of arc AC
Answers
Answer:
Step-by-step explanation:
Angle ABC is an inscribed angle intercepting arc AC. The rule is that the intercepted arc is twice the measure of the angle that intercepts it, so arc AC = 2(65) which is 130
Question is due soon I need help
Answers
Answer:
looks like C is best guess
The three straight paths, AB,BC,AC, meet each other at three points, A,B, and C. How do these points of intersection differ from each other?
Answers
Answer:
See Explanation
Step-by-step explanation:
The Three Straight paths intersect at different angles or we can say that, the amount required to turn one path onto the other path is different for each vertex. Thus, the largest angle is opposite to the longest side and the smallest angle is opposite to the shortest side.And if all the three points of intersection look the same, the result is a triangle with three equal angles and three equal sides.Sara invests $4000 at 7.2% annual interest compounded monthly. Find the final amount of Sara's investment after 15 years. *
Answers
Answer:
$8,711.99
Step-by-step explanation:
The formula for calculating the compound interest in expressed as;
A =P(1+r/n)^nt
Principal P = $4000
r is the rate = 7.2% = 0.072
t is the time = 15years
n = 1/12
Substitute
A = 4000(1+0.072(1/12))^15/12
A = 4000(1+0.072(12))^1.25
A = 4000(1+0.864)^1.25
A = 4000(1.864)^1.25
A = 4000(2.1779)
A = 8,711.99
Hence the final investment after 15years is $8,711.99
The heights of male students are normally distributed with a mean of 158 cm and a
standard deviation of 5 cm.
Find the percentage of male students who are between 145 cm and 170 cm.
Round your
answers to the nearest hundredths.
Answers
Answer: The percentage of male students who are between 145 cm and 170 cm = 98.71%
Step-by-step explanation:
Let x denotes the height of male students.
As per given,
[tex]\mu=158,\sigma=5[/tex]
The probability of male students who are between 145 cm and 170 cm
= [tex]P(145<X<170)[/tex]
[tex]=P(\dfrac{145-158}{5}<\dfrac{X-\mu}{\sigma}<\dfrac{170-158}{5})\\\\=P(-2.6<Z<2.4)\\\\=P(Z<2.4)-P(Z<-2.6)\\\\=P(Z<2.4)-(1-P(2.6))\\\\=0.9918-(1-0.9953)\\\\= $$0.9871[/tex]
Hence, the percentage of male students who are between 145 cm and 170 cm = 98.71%
pleaseeee helpp mee!!!!!
Answers
find distance between (0,6) and (8,0)
with process.......
Answers
Answer:
answer to the question is 10 units..
Answer:
10 units
Step-by-step explanation:
(0 , 6) = (x1 , y1)
(8 , 0) = (x2 , y2)
distance formula = [tex]\sqrt{(x2 - x1)^2 + (y2 - y1)^2}[/tex]
=[tex]\sqrt{(8 - 0)^2 + (0 - 6)^2}[/tex]
=[tex]\sqrt{8^2 + (-6)^2}[/tex]
=[tex]\sqrt{64 + 36}[/tex]
=[tex]\sqrt{100}[/tex]
=10 units
Geraldo orders a private jet for a party that has a flat rate of 175,000
dollars plus an addition 65,000$ for each additional passenger. He as AT
MOST 1 million dollars to spend ($1,000,000) how many people can he
take with him? (Round down to the nearest human and WRITE YOUR
ANSWER AS A SENTENCE)*
Answers
Answer:
im not really sure but try 600,0
Step-by-step explanation:
Find the slope of a line through (4, 5) and (4, -5). Determine if the line is vertical, horizontal, or neither.
Answers
Answer:
Vertical
Slope cannot be determined
Step-by-step explanation:
To find the slope, we are going to use the slope equation as follows
m = (y2-y1)/(x2-x1)
(x1,y1) = (4,5)
(x2,y2) = (4,-5)
m = (-5-5)/(4-4)
This gives an undefined answer and thus we cannot hate the slope value
Looking at the x-axis coordinates, we can see that the difference is just the y axis coordinates and as such we can confirm that the line is vertical
Encuentra el volumen de un prisma rectangular que mide 14m de largo y 10 m de ancho 34m de altura.
Answers
14x10x34
140x34=4760
URGENT
Choose the true statement below for the following equation: y = 10x + 2
The equation doesn't represent a function.
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
since each y value has one and only one x value
This passes the horizontal line test
Solve logx − 1 16 = 4
Answers
Answer:
logx=120
Step-by-step explanation:
which of the following systems of linear inequalities is represented by the solution graphed below?
Answers
Amira is trying to find the height of a radio antenna on the roof of a local
building. She stands at a horizontal distance of 26 meters from the building.
The angle of elevation from her eyes to the roof (point A) is 23°, and the
angle of elevation from her eyes to the top of the antenna (point B) is 33°. If
her eyes are 1.54 meters from the ground, find the height of the antenna (the
distance from point A to point B). Round your answer to the nearest meter if
necessary.
Answers
Answer:Using the formula for the area of the composite shape, Area of composite shape = Area of rectangle + area of the square. ⇒ Area of composite shape = 14+9 = 23 square inches.
Step-by-step explanation: