In the figure below, a tangent and a secant are drawn to a circle from exterior point E.
Suppose that EG = 13 and ED=26. Find CD.
Answers
Answer:
19.5 = CD
Step-by-step explanation:
The square of the tangent = (length of the secant)(the length of the outside part of the secant)
EG² = (ED)(EC)
13² = (26)(EC)
169 = 26EC
169/26 = EC
6.5 = EC
Now ED = EC + CD
26 = 6.5 + CD
19.5 = CD
The value of the segment CD will be equal to 19.5.
What is secant and tangent?The relationship between the line segments produced by a secant and a tangent line and the corresponding circle is described by the tangent-secant theorem.
The square of the tangent = (length of the secant)(the length of the outside part of the secant)
It is given that In the figure below, a tangent and a secant are drawn to a circle from exterior point E. Suppose that EG = 13 and ED=26.
The value of the segment CD will be calculated as below:-
EG² = (ED)(EC)
13² = (26)(EC)
169 = 26EC
169/26 = EC
6.5 = EC
Calculate CD.
ED = EC + CD
26 = 6.5 + CD
19.5 = CD
Therefore, the value of the segment CD will be equal to 19.5.
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Related Questions
Solve for m.
m+13<−214
m>−11112
m>−2712
m<−11112
m<−2712
Answers
Answer:
You cannot expect someone to type the "right" answer if you dont put the time to even spell it out correctly next time think abt it a bit more ^^
The correct answer is m<- 2 7/12
Step-by-step explanation:
This is for the k12 6.01 Quiz: One-Step Addition or Subtraction Inequalities
Good luck everyone of the rest !!!!
The solution for [m] belongs tot he set as : m ∈ (- ∞, -227).
What is inequality? What is a mathematical function, equation and expression? inequality : An inequality is used to compare two expressions or numbers.function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given are the inequalities and it is asked to solve for [m].
The given inequalities are given as follows -
m + 13 < − 214
m > − 11112
m > − 2712
m < − 11112
m < − 2712
Now, we can write -
m + 13 < − 214
m < - 214 - 13
m < - 227
Remaining all inequalities are far far smaller than -227. So, we can say that the solution for m as : m ∈ (- ∞, -227)
Therefore, the solution for [m] belongs tot he set as : m ∈ (- ∞, -227).
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I need the answers to these please
Answers
a) 7 × (-4)
= -28
b) (-6) × 8
= -48
c) (-5) × (-9)
= 45
[tex]\mathbb{MIREU} [/tex]
Amelia and her children went into a grocery store and she bought $10
worth of apples and bananas. Each apple costs $1 and each banana
costs $0.50. She bought a total of 12 apples and bananas altogether.
Determine the number of apples, x, and the number of bananas, y,
that Amelia bought.
Answers
how do you think I'm NOW
Answers
Answer:
u are u and u and u and u and u
They are similar or not similar and why?
Answers
Answer:
Yes its similar because if you look at all the numbers they are all the same but the shape is just turned around
please consider brainliest <3
Answer:
Step-by-step explanation:
Yes its similar because if you look at all the numbers they are all the same but the shape is just turned around
love ELVIS
Josue broke a cell sample into 12 batches, each weighing 6.9 x 10 ^-10
grams. How much did the original sample weigh? Use scientific notation to express your answer.
Answers
Using proportions, it is found that the original sample weighed [tex]8.28 \times 10^{-9}[/tex] grams.
This question is solved by proportions, using a rule of three.The weight of 1 batch, in grams, is of [tex]6.9 \times 10^{-10}[/tex]. How much do the sample of 12 batches weigh?The rule of three is:
1 batch - [tex]6.9 \times 10^{-10}[/tex] grams.
12 batches - x grams
Applying cross multiplication:
[tex]x = 12 \times 6.9 \times 10^{-10} = 82.8 \times 10^{-10}[/tex]
Applying scientific notation:
[tex]8.28 \times 10^{-9}[/tex]
The original sample weighed [tex]8.28 \times 10^{-9}[/tex] grams.
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anybody help please hm
Answers
Why is the slope the same on a line when different points are used to identify the slope?
Answers
Therefore the slope is the same because the line passes through both those points.
Different points can be used to identify the slope as follows -
We have a straight line.
We have to investigate why is the slope same on a line when different points are used to identify the slope.
What is Slope of a Line ?The slope of a line is denoted by m and is defined as the change in y coordinate with respect to the change in x coordinate.
According to question -
Different points can be used to identify the slope provided that they all lie on the same straight line. Line is a collection of points and these set of points can be used top determine the rate of change of y with respect to x. The slope of a line can also be found out using y - intercept of the line using the general equation of straight line -
y = mx + c.
Hence, the slope is same on a line provided that they all lie on the same straight line
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Carpeting costs $7.99 a yard. If Jan buys 12.4 yards, how much will it cost her?
(Hint: Round it to two decimal places)
Answers
Multiply cost per yard by total yards:
7.99 x 12.4 = 99.08
Answer: $99.08
What is the least angle measure by which this figure can be
rotated so that it maps onto itself?
O 45°
O 90 °
O 180°
O 360°
Answers
Answer:
Step-by-step explanation:
360° degrees
The least angle measure by which this figure can be rotated so that it maps onto itself is 360 degrees option (D) 360° is correct.
What is geometric transformation?It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.
It is given that:
The two-dimensional figure is shown in the picture.
As we know from the definition of the geometric transformation; the change in coordinates and the shape of the geometrical body and geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.
The least angle measure by which this figure can be rotated so that it maps onto itself is 360 degrees
Because the rotation of 45, 90, and 180 degrees cannot map the figure onto itself.
Thus, the least angle measure by which this figure can be rotated so that it maps onto itself is 360 degrees option (D) 360° is correct.
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5. Identify the type of function and the degree of the function: f(x)=6x +3x² -11
A. Quadratic, degree 3
B. Quadratic, degree 2
C. Cubic, degree 6
D. Quartic, degree 11
Answers
Answer:
B. Quadratic, degree 2
Step-by-step explanation:
ALl you have to see is the degree. The degree is the largest exponent of the expression. The largest exponent here is 2 and since there is only one answer with a degree of two, the answer is b.
Answer:
B
Step-by-step explanation:
the largest exponent is 2 i.e the degree is 2
What is the y-value of the vertex of the function f(x)=â’(xâ’3)(x 11)?.
Answers
Answer:
What is the y-value of the vertex of the function f(x)=â’(xâ’3)(x 11) 1060 by cata
Evaluate the expression 6^3 + 20
Answers
6^3=216
216+20
236
Hope this helps!!
Four people can paint a fence in 6 hours how long would three people take to paint it?
Answers
Answer:
8 hours
Step-by-step explanation:
4 people = 6 hours
→ Work out how long 1 person takes
1 person = 24 hours
→ Work out how long 3 people takes
3 people = 8 hours
I don’t get this at all ♂️
Answers
Why are scarcity and choice basic economic questions faced by every society?
Answers
what is 2244 divided by 51 show work
Answers
Answer:
44 Step-by-step explanation:
first you want to put the Question like this in the calculator
2244÷51=44
I really tend this answer fast
Answers
Answer:9.1 units
Step-by-step explanation: Hope you get it right :D
Find the measure of y.
• 110°
• 100°
• 103°
• 93°
Answers
Answer:
110°
Step-by-step explanation:
Alternate angles are equal.
Hope this helps and have a good day!
Measure of y is [tex]103^0[/tex]
What is quadrilateral ?A quadrilateral is a plane figure that has four sides or edges, and also has four corners or vertices. The angles are present at the four vertices or corners of the quadrilateral. If ABCD is a quadrilateral then angles at the vertices are ∠A, ∠B, ∠C and ∠D. The sides of a quadrilateral are AB, BC, CD and DA.
110 + Z =180 ......................(Linear pair)
So, the measurement of angle z is 70.
Since, Sum of all interior angles of quadrilateral = 360°.
then...
Y = 360 - (100 + 87 + 70)
Y = 360 - 257
= 103
Hence, measure of y is [tex]103^0[/tex]
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can someone help with another question i posted 5 minutes ago
Answers
Answer:
Awnser
what is the question
completing the square: x^2+2x-7=8x
Answers
Answer: x = 7, x = -1
Step-by-step explanation: Move the term to the left side
x^2 + 2x - 7 = 8x
x^2 + 2x - 7 - 8x = 0
Combine like terms
x^2 + 2x - 7 - 8x = 0
x^2 - 6x - 7 = 0
x^2 - 6x - 7 = 0
a = 1
b = -6
c = -7
x = -(-6) + (-6)^2 - 4 x 1(-7)/ 2 x 1
Evaulate the Exponent
Multiply the numbers
Add the numbers
Evaluate the square root
Multiply the numbers x = 6 ± 8/2
To solve for the unknown variable, separate into two equations: one with a plus and the other with a minus.
x = 6 + 8/2
x = 6 - 8/2
Rearrange and isolate the variable to find each solution
x = 7
x = -1
Which is not equivalent to 3/5
Answers
Answer: d.
15/24 is not an equivalent fraction of 3/5.
George's family is on a road trip. After driving for a while, they stopped for gas, and then traveled 5834 more miles before they decided to stop for lunch. After lunch, they tripled their distance traveled before stopping for the night. Their total distance traveled that day was 381 miles. How many miles had they traveled before their first stop for gas? Enter your answer as a simplified mixed number in the box.
Answers
Answer:
Step-by-step explanation:
68 1/4
The distance travelled before their first gas stop is 68 1/4 miles given in mixed fractions.
What is a mixed fraction?A fraction consisting of a quotient and remainder is a mixed fraction. we can convert the mixed fraction to improper fraction by first dividing the numerator by denominator and then taking the quotient as whole number and remainder as the numerator of proper fraction keeping the denominator same.
Assume the distance covered before their first stop for gas be 'x'
Total distance travelled is 381 miles
We are given that after stopping for gas they travelled 58 3/4 miles and then tripled their distance. The equation formed is
x + 3x + 58 3/4 = 381
4x + 58 3/4 = 381
x=68 1/4 in mixed fraction
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Reflect parallelogram EFGH with E(-4,5), F(3,6), G(2,3) and H(-5,2) in the x-axis. what are the coordinates of F?
Answers
Given that(16 watermelons cost $48) which of these are equivalent ratios of number of watermelons to cost in dollars? Choose all that apply. (A) 16:48 B) 3:1 C 1:3 D 48:16 E) 3:9 le 5
Answers
Answer:
A, C, and E
Step-by-step explanation:
if 16 watermelons cost 48, then 1 watermelon costs 3$ meaning A C and E apply to that.
A new health drink has 180% of the recommended daily allowance (RDA) for a certain vitamin. The RDA for this vitamin is 20 mg. How many milligrams of the vitamin are in the drink?
Answers
Multiply the percentage by the allowable amount:
180% = 1.80
20 x 1.80 = 36
Answer: 36 mg
The long sides of a rectangle measure 5 ft 6 in, and the short sides are 3 ft 4 in. What is the perimeter?
Answers
Answer:
17 ft 8 in
Step-by-step explanation:
consider the equation n=2/5m-30 for what value of m is n equal to 50?
Answers
Answer:
m = 200
Step-by-step explanation:
Substitute n = 50 in the equation
n = 2/5m - 30
50 = 2/5m - 30
50 + 30 = 2/5m
80 = 2/5m
m = 80 ÷ 2/5
m = 200
Kim performed a transformation on rectangle ABCD to create rectangle A'B'C'D', as shown in the figure below: Rectangles ABCD and A prime B prime C prime and D prime are shown. A is at negative 1, 2. B is at negative 1, 5. C is at negative 3, 5. D is at negative 3, 2. A prime is at 2, 1. B prime is at 5, 1. C prime is at 5, 3. D prime is at 2, 3. What transformation did Kim perform to create rectangle A'B'C'D'? Rotation of 270 degrees counterclockwise about the origin Reflection across the line of symmetry of the figure Reflection across the yâ€axis Rotation of 90 degrees counterclockwise about the origin.
Answers
The transformation rule for Rotations of 270 degrees counter clockwise is (x, y) —> (y, -x).
Kim performs to create rectangle A'B'C'D' Transformation, ''Rotation of 270 degrees counterclockwise about the origin'' and it can be determined by using the rules of transformation.
Given that,Kim performed a transformation on rectangle ABCD to create rectangle A'B'C'D', as shown in the figure below:
Rectangles ABCD and A prime B prime C prime and D prime are shown.
We have to determine,What transformation did Kim perform to create rectangle A'B'C'D'?
According to the question,Kim performed a transformation on rectangle ABCD to create rectangle A'B'C'D', as shown in the figure below:
Rectangles ABCD and A prime B prime C prime and D prime are shown.
Transformation involves changing the position of the given shape.
The transformation on rectangle ABCD to A'B'C'D' is (a) rotation of 270 degrees counterclockwise.The coordinates of ABCD are given as:A (1, -2),
B (-1, 5)
C (-3, 5)
D (-3, 2)
The coordinates of A'B'C'D' are given as:A (2, 1),
B (5, 1)
C (5, 3)
D (2, 3)
The transformation from ABCD to A'B'C'D is 270 degrees counterclockwise about the origin.
And the proof is as follows.
The rule of 270 degrees counterclockwise about the origin is:
The given coordinates;
A (2, 1) - (-1, 2)
B (5, 1) - (-1, 5)
C (5, 3) - (-3, 5)
D (2, 3) - (-3, 2)
Hence, Kim performs to create rectangle A'B'C'D' Transformation, ''Rotation of 270 degrees counterclockwise about the origin''.
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Please help me ASAP!!
Thx
Answers
Answer:
8
Step-by-step explanation:
The fraction simplifies to 9 ^5
9^5 x 9^3 = 9^8