If two chords are the same distance from the center of a circle then they are congruent.
Given that, two chords are the same distance from the center of a circle.
What is the chord on a circle?The chord of a circle is a line that connects two points that are located on the circumference of the circle. These two points can be located anywhere on the same circumference.
Chords are equidistant from the center if and only if their lengths are equal. Equal chords are subtended by equal angles from the center of the circle.
Hence, if two chords are the same distance from the center of a circle then they are congruent.
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James is writing a coordinate proof involving a parallelogram. Knowing that the opposite sides of a parallelogram are congruent, James places his parallelogram on the coordinate plane such that one vertex is at the origin and one side lies along the x-axis. What coordinates should he assign to the fourth vertex of the parallelogram? (2a, a) (2a, a2) (a2, 0) (2a, 2a)
Answer:-(2a,a) coordinates he should assign to the fourth vertex of the parallelogram.
Explanation:-
Let ABCD be the vertices of the given parallelogram such that A=(0.,0) , B=(a,0) , C(x,y) and D=(a,a)
Construct the diagonals AC and BD of parallelogram ABCD .
We know that diagonals of a parallelogram bisect each other.
⇒ mid point of AC= mid point of BD...(1)
Mid point of BD[tex]=(\frac{a+a}{2},\frac{0+a}{2})=(\frac{2a}{2},\frac{a}{2})=(a,\frac{a}{2})[/tex]........(2)
Mid point of AC[tex]=(\frac{0+x}{2},\frac{0+y}{2})=(\frac{x}{2},\frac{y}{2})[/tex]......(3)
Substitute (2) and (3) in (1), we get
[tex](\frac{x}{2},\frac{y}{2})=(a,\frac{a}{2})\\\Rightarrow\frac{x}{2}=a;\frac{y}{2}=\frac{a}{2}[/tex]
[tex]\Rightarrow\ x=2a\ and\ y=a[/tex]
⇒C=(2a,a)
⇒ (2a,a) coordinates he should assign to the fourth vertex of the parallelogram.
For which value would the graph y= x^4 -25 be below the x axis?
Explain how to determine if these two are the same function expressed in different ways
Answer:
Sample Answer:
When a linear function is expressed in different forms, its slope and y-intercept remain the same. The slope from the equation is -1, and the y-intercept from the equation is 3. The slope from the table is -1, and the y-intercept from the table is −3. These are not the same functions.
Step-by-step explanation:
Answer:
When a linear function is expressed in different forms, its slope and y-intercept remain the same. The slope from the equation is -1, and the y-intercept from the equation is 3. The slope from the table is -1, and the y-intercept from the table is −3. These are not the same functions.
Step-by-step explanation:
Find the volume of the pyramid. Round your answer to the nearest hundredth.
A. 146.61
B. 154.87
C. 164.61
D. 186.61
Question 2(Multiple Choice Worth 15 points) (04.03 LC) Which of the following options results in a graph that shows exponential growth?
f(x) = 0.4(0.2)x
f(x) = 4(0.98)x
f(x) = 0.7(5)x
f(x) = 5(4)−x
The answer is: [C]: " f(x) = 0.7(5)ˣ " .
_________________________________________________________
Explanation:
_________________________________________________________
From all the answer choices given;
Answer choice: [C]: " f(x) = 0.7 (5)ˣ " ; is the answer choice with a "positive number"; {which is then multiplied by: [ a "positive whole number" or a "positive number greater than "1"; that is raised to a "positive variable"] .
________________________________________________
How I solved this: Further Explanation:
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A positive number multiplied by a {"number less than 1; raised to "x"] would result in increasingly lower values as "x" increases. Same with "raised to "negative x" {refer to "Answer choice [D]" }.
Answer:
The answer is: [C]: f(x) = 0.7(5)ˣ
Step-by-step explanation:
help please
Find the volume of a pyramid with a square base, where the perimeter of the base is 5.5 m and the height of the pyramid is 2.9 m. Round your answer to the nearest tenth of a cubic meter.
What is the value of the expression? (−3)3+6312
Find an equation for this inverse.
f(x) = 5x + 1
Please help! I have a test tomorrow & I have absolutely no idea on his to do this, thanks! :)
MATH HELP PLEASE!!!!
1. any number times2 then subtracted by the same number can't = 0 , so it is Null Set
2. 2^2 = 4 +12 = 16, 8*2 = 16, answer is 2
In how many ways can 12 people be divided into three groups of 4 for an
Which ordered pair is a solution to this equation?
2x+6y=10
A (12, 2)
B (4, 1)
C (3, 1)
D (2, 1)
An equation that contains only the operation of addition is called
A recipe uses 3 cups of water, 2 cups of rice, and 1 cup of black beans. What is the ratio of cups of rice to cups of water?
Final answer:
The ratio of cups of rice to cups of water in the recipe is 2 to 3, which can also be written as 2/3.
Explanation:
The question asks us to find the ratio of cups of rice to cups of water. The recipe provided uses 2 cups of rice and 3 cups of water. To find this ratio, we simply compare the number of cups of rice to the number of cups of water and write it as a fraction or a division problem.
In this case, the ratio is:
2 cups of rice : 3 cups of water
Which we can also write as 2/3 or say that for every 2 cups of rice, there are 3 cups of water.
State 7m to 250cm as a ratio in its lowest terms
Final answer:
To express the ratio of 7 meters to 250 centimeters in its lowest terms, convert both to the same unit and simplify. 7 meters is 700 centimeters, leading to an initial ratio of 700:250, which simplifies to a final ratio of 14:5.
Explanation:
To state 7m to 250cm as a ratio in its lowest terms, we need to convert them to the same unit. One meter is equivalent to 100 centimeters, so 7 meters is the same as 700 centimeters.
Now we can write the ratio as 700 cm : 250 cm, which can be simplified by dividing both terms by 250 cm (the greatest common divisor of both numbers).
The simplified ratio is 700÷ 250 : 250÷ 250, which simplifies to 7 : 2.5. Since we want the ratio in its lowest terms with whole numbers, we can multiply both terms by 2 to eliminate the decimal, resulting in a final ratio of 14 : 5.
Farmer jinzhou has 300 feet of fencing to enclose two identical rectangular pens that share a common fence. what are the dimensions of the pens that make their areas as large as possible? if x represents the length of the enclosure, what is the domain in the context of this situation?
What value of k makes the statement true? xky4(2x3 + 7x2y4) = 2x4y4 + 7x3y8 k =
Answer: Answer is 1
Step-by-step explanation:
edge
a family is canoeing (with the current). Their speed relative to the banks of the river averages 2.75mi/h. During the return trip, they paddle upstream (against the current), averaging 1.5 mi/h relative to the riverbank. Write and solve a system of equations to find the family’s paddling speed in still water.
Answer:
it's 2.125
Step-by-step explanation:
The required speed of family's paddling speed in still water is 2.125 mi/h.
Given that,
A family is canoeing (with the current). Their speed relative to the banks of the river averages 2.75mi/h. During the return trip, they paddle upstream (against the current), averaging 1.5 mi/h relatives to the riverbank.
Speed is defined as when an object is in motion, the distance covered by that object per unit of time is called speed.
Here,
Let the speed of the family on still water be x,
Speed of the current be y
According to the question,
upstream speed,
1.5 = x - y - - - - - (1)
Downstream speed,
2.75 = x + y - - - - - (1)
Solving equations 1 and 2 givens,
2x = 4.25
x = 2.125 mi / h
Thus, the required speed of the family paddling speed in still water is 2.125 mi/h.
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What is the first term of the geometric sequence presented in the table below?
n 5 7
an 176 704
Hint: an = a1(r)n − 1, where a1 is the first term and r is the common ratio.
Please help with these questions thank you.
1. 2 and 7 are equal
2. angle 1 = 68 degrees
3. 1st answer
If the following fraction is reduced, what will be the exponent on the q? -5p^5q^4/ 8p^2q^2
I did this question already. The answer is 2
True or False:
The domain of the composite function (f◦g)(x) is the same as the domain of g(x).
The statement is false. The domain of the composite function (f◦g)(x) is not always the same as the domain of g(x). It includes only the values of x for which both g(x) and f(g(x)) are defined.
Explanation:The statement is False. The domain of the composite function (f◦g)(x) is not always the same as the domain of g(x). In a composite function (f◦g)(x), the domain includes only the values of x for which both g(x) and f(g(x)) are defined.
For example, if g(x) = sqrt(x) and f(x) = 1/x, the domain of g(x) would be all real numbers x ≥ 0, but the domain of the composite function (f◦g)(x) = 1/sqrt(x) would be x > 0, because 1/sqrt(x) isn't defined for x = 0.
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m ∠ A = 100 - x
m ∠ B = 80 + x
m ∠ C = 110 - 3x
m ∠ D = 75 + 2x
Quadrilateral ABCD is a parallelogram if both pairs of opposite angles are equal. Prove that Quadrilateral ABCD is a parallelogram by finding the value of x.
A) x = 5
B) x = 7
C) x = 10
D) x = 15/2
If a triangle is an isosceles triangle, then it has two sides of equal length. If a triangle has two sides of equal length, then it has two angles of equal measure
Conclusion:
If a triangle is an isosceles triangle, then it has two angles of equal measure.
The argument is not valid because the conclusion does not follow from the premises.
The argument is valid by the law of syllogism.
The argument is not valid because the premises are not true.
The argument is valid by the law of detachment.
we know that
The Law of Syllogism says that if the following two statements are true:
(1) If p -------> then q .
(2) If q-------> then r .
Then we can derive a third true statement:
(3) If p--------> then r .
In this problem
(1) If a triangle is an isosceles triangle, then it has two sides of equal length
(2) If a triangle has two sides of equal length, then it has two angles of equal measure
Let
p-------> the statement " an isosceles triangle"
q--------> the statement " has two sides of equal length"
r---------> the statement "has two angles of equal measure"
Then (1) and (2) can be written
1) If p , then q .
2) If q , then r .
So, by the Law of Syllogism, we can deduce
3) If p , then r
or
If a triangle is an isosceles triangle, has two angles of equal measure
therefore
the answer is
The argument is valid by the law of syllogism.
Simplify 5 to the second power
You board a Ferris wheel at ground level and travel to the very top, when it stops to allow more riders to get on.
How many degrees has the Ferris wheel rotated?
Answer:
answer is 180 degrees
Step-by-step explanation:
180 degrees has the Ferris wheel rotated
What is rotation?Rotation is the circular movement of an object around an axis of rotation.
Given:
There is ferries wheel when we board on ferris wheel it will be considered as 0 degree.
but when the ferris wheel stop to get more riders on at that time we are vey top.
So, we have covered half of the complete angle i.e., 180 degree
Hence, the ferris wheel cover 180 degrees.
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Plz halp. I just need #20, and please write out the equation so I know how to do it for future problems, thanks!
a line segment has endpoints (4,7) and (1,11).what is the length of the segment
If John has 20 square ft of carpet, that’s enough to carpet a room that’s 6’ by 3’.
Question 2 options:
True
False
True
6 x 3 = 18 square feet. which is the surface area of the room.
so john will have 2 square feet to spare
In this particular arithmetic sequence, a7 = 50 and a15 = 114. What is the value of a21? Hint: an = a1 + d(n − 1), where a1 is the first term and d is the common difference.
Assume that a randomly selected subject is given a bone density test. those test scores are normally distributed with a mean of 0 and a standard deviation of 1. find the probability that a given score is less than 1.66 and draw a sketch of the region.