Chords within a circle can be related in a variety of ways. Parallel chords cut congruent arcs in the same circle. That is, the arcs whose endpoints include one of each chord's endpoints have equal measures.
When two chords of a circle are parallel are the arcs?
Chords within a circle can be related in a variety of ways. Parallel chords cut congruent arcs in the same circle. That is, the arcs whose endpoints include one of each chord's endpoints have equal measures.
The lengths of the arcs connecting two parallel chords of a circle are equal. Similarly, if the lengths of the two arcs connecting two distinct chords are the same, the chords are parallel. If two chords have the same length, the arcs between their endpoints will have the same measure.
The term "parallel" refers to how each note in the chord rises or falls by the same interval.
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A cylinder has a height of 16 yards and a diameter of 14 yards. What is its volume? Use ≈ 3.14 and round your answer to the nearest hundredth
Answer: it is 14526.72
what is finite sequence
Determine the probability of following event, rolling a pair of dice and not getting a 3
According to the question, the probability of the event in which rolling a pair of dice and not getting a 3 is as follows:
What is Probability?
The term probability means the study of the occurrence or the outcomes of the event. It is the measurement of the events that occurred during events. And many uncertain events cannot be measured.
Probability of not getting 3= 1 - P(getting three)/Total number of events
Probability of not getting 3=1-2/36 = 1-1.18 =17/18
Hence, the probability of not getting three while rolling a pair of dice is 17/18 .
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there are three age groups in a competition.
john wants to do a survey of the competitors.
he uses a stratified sample of exactly 50 competitors according to each age group.
work out the number of competitors in each age group that should be in his stratified sample of 50
There are 10 people in the 16-18 group , 22 people in the 19-24 group and 18 people who are 25+ in the stratified sample.
A method of sampling from a population that can be divided into subpopulations is known as stratified sampling in statistics. When subpopulations within a larger population differ in statistical surveys, it may be desirable to sample each subpopulation separately.
From the given table we can calculate the total of population:
population = 120 + 250 + 200 = 570 people
Now since it is a stratified sample, the ratio of each age group is equal in the sample as in the population.
∴Number of people in the 16-18 group :
[tex]=\frac{120}{570} \times 50\\\\=10.52[/tex]
∴Number of people in the 19-24 group :
[tex]=\frac{250}{570} \times 50\\\\=21.929[/tex]
∴Number of people in the 19-24 group :
[tex]=\frac{200}{570} \times 50\\\\=17.543[/tex]
Now as 10.52 is closer to 10 than 17.54 is closer to 17 , we will round off 10.52 to 10.
Hence there are 10 people in the 16-18 group , 22 people in the 19-24 group and 18 people who are 25+ in the stratified sample.
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Why is the GCF of two prime numbers always one
Answer:
Step-by-step explanation:
A prime number has only two factors (1 and itself). Hence, two prime numbers cannot have any common factor other than 1. Therefore, the greatest common factor of two prime numbers is always 1. For example, the greatest common factor of 5 and 7 is 1.
Suppose you need to subtract a from b but mistakenly subtract b from a instead. How is the answer you get related to the correct answer? Explain.
answer:
it would be negative.
explanation:
when you subtract a value from a value, the result will be left to the larger number. if you subtract a larger number from a smaller number, the value will move left but since the value subtracted is more than the number minus itself, you would be subtracting from 0, therefore resulting in a negative number.
each brick is 3 1/4 inches tall if martina makes a stack of 4 bricks how much inches tall will it be
Answer:
13 inches
Step-by-step explanation:
Convert to improper fraction and multiply
13/4 x 4/1 (4's cancel out)
13
13
(4 x 200 ) + (4 x
) + ( 4 × 3 )
x
Answer: 52x^200 + 4x+4x^4
Step-by-step explanation:
Find the length of the third side. If necessary, write in simplest radical form. 6 and 6
The length of the third side will be equal to 5.2 units.
What is the Pythagorean theorem?According to the Pythagorean Theorem, the hypotenuse square in a right-angled triangle equals the square of the sum of the other two sides.
This statement states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides.
This is a right-angled triangle which means that the missing length can be solved using the Pythagorean theorem:
c² = a² + b²
Where c is the hypotenuse, a and b are the other sides.
c = 6
a = 3
b =?
6² = 3² + b²
36 = 9 + b²
b² = 27
b = √27
b = 5.2 units
Therefore, the length of the third side will be equal to 5.2 units.
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can someone please help
Answer: a) 4
Step-by-step explanation:
sides should be equal according to the shape.
7x-2=12x-22
.2, .7, .65, 1.15, 1.1,__________
2
Answer: 1.6
Step-by-step explanation:
The pattern occurs for every 2 terms
.65-.2=
.65-.20=.45
1.1-.65=
1.10-.65=.45
1.15-.7=
1.15-.70=.45
?-1.15=.45
.45+1.15=?
?=1.60
?=1.6
In the expression 5x6 + 3xy − 7yz2 + , which of the following choices is the numerical coefficient in -7yz2 ?
The numerical coefficient in -7yz² from the expression 5x⁶+3xy-7yz²+2y/z is -7 .
A Numerical Coefficient in an Algebraic Expression is defined as the integer value which is written along with the variable .
For Example : the numerical coefficient in 7xy is 7 , and in -5x is -5 as 7 and 5 are the only numerical value along with the variable y and x respectively.
In the question ;
the given Algebraic Expression is 5x⁶+3xy-7yz²+2y/z
the numerical coefficient in -7yz² is -7 , as -7 is the only numerical value in -7yz² .
Therefore , the numerical coefficient in -7yz² from the expression 5x⁶+3xy-7yz²+2y/z is -7 . the correct option is (d) -7 .
The given question is incomplete , the complete question is
In the expression 5x⁶+3xy-7yz²+2y/z , which of the following choices is the numerical coefficient in -7yz² ?
(a) 2
(b) 3
(c) 5
(d) -7
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determine whether the following graph represents a function
1. Not a function
2. Function, but one to one
3. One to One function
the mean is 9.12 and the standard deviation is .05. what percent of the bags weigh less than 9.07?
Answer:
5.1
Step-by-step explanation:
yup i hate math.
Nisha likes to make small rectangular paintings of cats. One of her paintings has an area of 33 cm² and a width of 7/1/2 cm. What is the height of this painting?
The height of this painting is 4 2/5 cm.
What is the area of the rectangle?The area of the rectangle is the product of the length and width of a given rectangle.
The area of the rectangle = length × Width
It is given that Nisha likes to make small rectangular paintings of cats. Also One of her paintings has an area of 33 cm² and a width of 7/1/2 cm.
The area of the rectangle = length × Width
Now substitute the values;
Area= L x W
33 cm² = L x 7/1/2 cm
33 divided by 7 1/2
L = 4 2/5
Therefore, the height of this painting is 4 2/5 cm.
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In Δ S Z U, U J=9, V I=3 , and Z T=18 . Find the length.
SJ
In Δ SZU, UJ = 9, VI = 3 , and ZT = 18 then the value of SJ = 6.
What is meant by centroid theorem?The triangle's centroid is the point where the three medians intersect. According to the centroid theorem, the centroid is 23 times the distance from each vertex to the midpoint of the opposite side.
The centroid has the unique property that the distance from a vertex to the centroid is twice that of the distance from the centroid to the midpoint of the side opposite that vertex for each median. In addition, the three medians of a triangle divide the triangle into six equal-area regions.
Given: In Δ SZU, UJ = 9, VI = 3 , and ZT = 18 .
Since ZV ≅ VU, Y is the midpoint of UZ and SV is a median of Δ ZSU. Similarly, points Y and T are also midpoints of SZ and SU, respectively, so YU and ZT are also medians. Therefore, point J is the centroid of
Δ ZSU and, according to the Centroid Theorem, SJ is 2/3 of SV.
SJ = 2/3 (SV)
= 2/3 (SJ + VJ)
simplifying the above equation, we get
(3SJ/2) - SJ = VJ
SJ/2 = 3
SJ = 6
Therefore, the value of SJ = 6.
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a. Write the point-slope form of the line that passes through A(-3,12) and B(9,-4) . Use point A in the equation.
The equation of the line in point-slope form, which passes through the pair of points located at A(-3 , 12) and B(9 , -4), is y - 12 = -4/3(x + 3).
The equation of a line can be expressed in three different forms: standard form, slope-intercept form, and point-slope form.
The standard form of an equation of a line is expressed as ax + by = c, where a and b, if all possible must be integers, are the coefficients of variable x and y, respectively, and c is a constant. Meanwhile, slope-intercept form is given by the formula y = mx + b, where m is the slope of the line and b is the y- intercept. On the other hand, given the slope m and a point on the line (x , y), we can express the equation in point-slope form, (y - y1) = m(x - x1).
Getting the slope of the two points: A(-3 , 12) and B(9 , -4).
m = (y2 - y1)/(x2 - x1)
m = (-4 - 12)/(9 - -3)
m = -16/12
m = -4/3
Using the point slope form, plug in the values of the slope and Point A to set up the equation.
(y - y1) = m(x - x1)
where m = -4/3 and (x1 , y1) = A(-3 , 12)
(y - 12) = -4/3(x - -3)
y - 12 = -4/3(x + 3)
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Kelly’s car travels 26 1/4 miles on 5/8 gallon of gas how much Can the car go per gallon
42 miles kelly's car can go if 1 gallon of gas is used .
WHAT IS UNITARY METHOD ?Using the unitary approach, you can solve problems by first figuring out the value of a single unit, then multiplying that value by the number of units you need.
CALCULATIONtotal miles travelled = 26 1/4 miles = 26.25 miles
gas used = 5/8 = 0.625 gallon
distance car can travel in 1 gallon = 26.25 / 0.625
= 42 miles
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A carpenter hollowed out the interior of a block of wood as shown at the right.
a. Express the volume of the original block and the volume of the wood removed as polynomials in factored form.
The volume of the original block and the volume of the wood removed as polynomials in factored form will be 2x³ + 15x² + 31x + 12 and (x + 2)(x + 1)(2x + 1).
What is the volume of the rectangular prism?Let the prism with a length of L, a width of W, and a height of H. Then the volume of the prism is given as
V = L x W x H
A carpenter hollowed out the interior of a block of wood as shown on the right.
The volume of the original block will be
V = (2x + 1)(x + 3)(x + 4)
V = (2x + 1)(x² + 7x + 12)
V = 2x³ + 14x² + 24x + x² + 7x + 12
V = 2x³ + 15x² + 31x + 12
The volume of the wood removed as polynomials in the factored form will be
V = (x + 2)(x + 1)(2x + 1)
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Find the first differences for each data set, and write an equation to represent the data pattern
The first differences for each data set is 120 120 120 120 120 120, and the equation to represent the data pattern is y = 120
How to find the first differences for each data set, and write an equation to represent the data pattern?The table of values represents the given parameters
On the table of values, we have the following function range
60 180 300 420 540 660 780
Calculate the first differences for each data set
i.e. Difference = Tn - T(n-1) Where n > 1
So, we have
120 120 120 120 120 120
The numbers in the above pattern are the same
So, the equation can be represented as
y = 120
Hence, the first differences for each data set is 120 120 120 120 120 120, and the equation to represent the data pattern is y = 120
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10 Peter the baker sells bread rolls in packs of 6 for $2.30. Paul the baker sells bread rolls in packs of 10 for $3.50. I have $10 to spend on bread rolls. If I want to buy as many bread rolls as possible from one shop, which shop should I use? Show your working.
If you want to buy as many bread rolls as possible from one shop, you should use Paul the baker's shop.
Unit ratePeter:
$2.30 for 6 packs of bread rollsUnit rate = $2.30 / 6
= $0.383 per pack of bread rolls
Paul:
$3.50 for 10 packs of bread rollsUnit rate = $3.50 / 10
= $0.35 per pack of bread rolls
So,
Paul the baker bread rolls is cheaper than Peter the baker bread rolls.
Therefore, If you want to buy as many bread rolls as possible from one shop, you should use Paul the baker's shop.
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Suppose points P,Q, and R are collinear, with point Q between points P and R . Describe a plan for a proof that the reflection of points P,Q, and R in a line preserves collinearity and betweenness of points.
The points P,Q, and R are collinear points is proved by the property that Congruent Figures' Corresponding Parts are Congruent.
What is meant by collinearity?Collinear points are those that are within the same straight line or on the same plane. In Euclidean geometry, two or more points on a line that are close to or the far from one another are referred to as collinear.
If three items are arranged in a straight line, the things are collinear.More astonishingly, the word collinear has been applied to straightened things, which means something is "in a row" or "in a line."As, per the given question, the description for the reflection of points P,Q, and R to form collinear points are described below.
Draw the points P,Q, and R so they are collinear, with Q between P and R. Connect P to P', Q to Q', as well as R to R' by reflecting P, Q, and R. Display the quadrilateral congruent that results. Congruent Figures' Corresponding Parts are Congruent.If two or more points lie on the same line, they are said to be collinear in geometry. As a result, collinear points are indeed the points that lie on the an one straight line.
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Which angles are congruent to each other
Answer:
∠9 and ∠11
Step-by-step explanation:
Vertical angles are congruent, and angles 9 and 11 are vertical.
35000/500
How to do this
Please help !
- 20 POINTS
Answer:
184
Step-by-step explanation:
My mom is a teacher lol
Tamika has a points card for a movie theater. she receives 20 rewards points just for signing up. she earns 10.5 points for each visit to the movie theater. she needs 167 points for a free movie ticket. write and solve an equation which can be used to determine x, the number of visits tamika must make to earn a free movie ticket.
If Tamika receives 20 rewards points just for signing up and she earns 10.5 points for each visit to the movie theater and she needs 167 points for a free movie ticket, then an equation to determine x, the number of visits Tamika must make to earn a free movie ticket is 10.5x + 20 = 167 and the value of x is calculated to be 14.
The number of visits Tamika must make can be determined by using a linear equation with one variable.
As,
reward points for signing up = 20
points for each visit = 10.5
points needed for free movie ticket = 167
If we consider x to be the number of visits required, then the linear equation can be given as,
10.5x + 20 = 167
Solving for x,
10.5x = 167 - 20
10.5x = 147
x = 147/10.5 = 14
Hence, the number of visits Tamika must make to earn a free movie ticket is equal to 14.
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write integer for - 2 Feet taller
The integer value of the mathematical statement is -2
How to determine the integer value?The mathematical statement is given as:
- 2 Feet taller
- 2 Feet taller implies that we have a negative integer -2
i.e.
Value = -2
Hence, the integer value of the mathematical statement is -2
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Determine the distance between each pair of points. Then determine the coordinates of the midpoint M of the segment joining the pair of points.
K(2,2,0) and L(-2,-2,0)
The midpoint is at (0,0,0,)
In the given statement is
To find the midpoint of the line segment joining the pair of points
K(2,2,0) and L(-2,-2,0)
Midpoint:
The coordinates of the midpoint of a line segment are the average of the coordinates of the end points.
m = (A +B)/2
If we are given three points and we wish to find the midpoint of those points, we need to use the midpoint formula m =([tex]\frac{x_{1}+x_{2} }{2} , \frac{y_{1}+y_{2} }{2} , \frac{z_{1}+z_{2} }{2}[/tex])
where:
(x1 , y1 ,z1) are the coordinates of the first point:
(x2 , y2 , z2) are the coordinates of the second point:
Now, We are given the three points K(2,2,0) and L(-2,-2,0)
Solving for the midpoint , we have,
m = ([tex]\frac{2+(-2) }{2} ,\frac{2+(-2)_{} }{2} ,\frac{0+0}{2}[/tex])
m = (0 , 0 , 0)
Therefore, the midpoint is at (0, 0, 0,)
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Q18.
In a company, the ratio of the number of men to the number of women is 3:2
40% of the men are under the age of 25
10% of the women are under the age of 25
What percentage of all the people in the company are under the age of 25?
What are 11y+1=-6x and 0=43-7x-4y written both in standard form (Ax+By=C) and what are the values for x and y?
Answer:
37777777777999999999999999
Simplify Expression-
( (pq) / (p^2-q^2) + (q) / (q-p) )
divide by
( (p-q) + (4q^2-p^2) / (p+q) )
pls help ;-;
When we divide [tex]\frac{pq}{p^{2} -q^{2} } +\frac{q}{q-p}[/tex] by [tex](p-q) +\frac{4q^{2} -p^{2} }{q+p}[/tex] , we get simplified answer [tex]\frac{1}{3(q-p)}[/tex]
What are algebraic identities?
Algebraic identities are set of rules that are derived from binomial theorem and are used to solve algebraic expressions .
One such identity is [tex]a^{2} -b^{2} =(a+b)(a-b)[/tex] ....(1)
We have to divide [tex]\frac{pq}{p^{2} -q^{2} } +\frac{q}{q-p}[/tex] by [tex](p-q) +\frac{4q^{2} -p^{2} }{q+p}[/tex], we get
=[tex]\frac{\frac{pq}{p^{2} -q^{2} } +\frac{q}{q-p}}{(p-q) +\frac{4q^{2} -p^{2} }{q-p}}[/tex]
=[tex]\frac{\frac{pq}{(p-q)(p+q) } +\frac{q}{q-p}}{\frac{(p-q)(p+q)+4q^{2} -p^{2} }{q+p}}[/tex]
=[tex]\frac{\frac{pq+q(-1)(p+q)}{(p-q)(p+q) } }{\frac{(p-q)(p+q)+4q^{2} -p^{2} }{q+p}}[/tex]
=[tex]\frac{\frac{pq-q^{2}-pq }{(p-q)(p+q) } }{\frac{p^{2} -q^{2} +4q^{2} -p^{2} }{q+p}}[/tex]
=[tex]\frac{\frac{-q^{2} }{(p-q)(p+q) } }{\frac{3q^{2} }{q+p}}[/tex]
[tex]\frac{-q^{2}(q+p) }{3q^{2} (p-q)(p+q) }=\frac{-1}{3(p-q)}\\ =\frac{1}{3(q-p)}[/tex]
On dividing [tex]\frac{pq}{p^{2} -q^{2} } +\frac{q}{q-p}[/tex] by [tex](p-q) +\frac{4q^{2} -p^{2} }{q+p}[/tex] and simplifying the answer we get [tex]\frac{1}{3(q-p)}[/tex].
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