Given that PO and overline WE are equidistant from the center, determine the value of m and n in the circle below.
US = 3m + 2
RU = -m + 9
PO = 20 - 14
EW = -2(2m + 1)
Based on the equidistant chords theorem, the value of m and n in the circle are:
m = 7/4 = 1.75
n = 1/2 = 0.5
What is the Equidistant Chords Theorem?The equidistant chords theorem states that, two chords are congruent if they are equidistant to the center of the same circle.
Given:
US = 3m + 2 RU = -m + 9 PO = 20 - 14 EW = -2(2m + 1)Thus, since US = RU, therefore chords PO and EW are congruent based on the equidistant chords theorem.
Therefore:
3m + 2 = -m + 9
Add like terms
3m + m = -2 + 9
4m = 7
m = 7/4
m = 1.75
20n - 14 = -2(2n + 1)
20n - 14 = -4n - 2
20n + 4n = 14 - 2
24n = 12
n = 12/24
n = 1/2 = 0.5
Therefore, based on the equidistant chords theorem, the value of m and n in the circle are:
m = 7/4 = 1.75
n = 1/2 = 0.5
Learn more about equidistant chords theorem on:
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Below are two parallel lines with a third line intersecting them.
(Please help T-T)
Answer:
x = 136
Step-by-step explanation:
44 + x = 180
x = 180 - 44
x = 136
A group of 7 friends each received 5/6 of a pound of candy. How much candy did they receive total?
Answer:
A group of seven friends each received one-half of a pound ofcandy. How much candy did they receive total?✓
0.5 pounds x 7= 3.5 poundsStep-by-step explanation:
six hundred kilograms of tea were packed in 500 g packets. how many packets of tea were there?
Answer:
1200
Step-by-step explanation:
600 in grams = 600 x 1000
= 6 x 10^5
(6 x 10^5) / 500 = 1200.
Answer:
1200 packets
Step-by-step explanation:
1 kg = 1000 gram
600 kg = 1000 × 600 = 600,000
now,
packets of tea were ( 600000 ÷ 1000) = 1200 packets
Due on Monday.
Show step by step
[tex]7n^{2} -7[/tex]
Answer: 7(n + 1)(n - 1)
Step-by-step explanation:
[tex]7n^2-7[/tex]
[tex]\mathrm{Rewrite\:}7\mathrm{\:as\:}7\cdot \:1[/tex]
[tex]=7n^2-7\cdot \:1[/tex]
[tex]$$ Factor out the common term 7[/tex]
[tex]=7\left(n^2-1\right)[/tex]
[tex]$$ Factor $n^2 - 1[/tex]
[tex]\mathrm{Rewrite\:}1\mathrm{\:as\:}1^2[/tex]
[tex]=n^2-1^2[/tex]
[tex]$$ Apply difference of two squares formula $ x^2 - y^2 = (x+y)(x-y)[/tex]
[tex]n^2-1^2=\left(n+1\right)\left(n-1\right)[/tex]
[tex]\therefore \bf{7\left(n+1\right)\left(n-1\right)}[/tex]
1)Jamal has 24 inches of yarn. How many feet of yarn does he have?2) Ricardo has 1/2 of a foot of yarn. How many inches does he have?
Answer:
Jamal has 2.5 feet of yarn
Step-by-step explanation:
Based on data from two very large independent samples, two students tested a hypothesis about equality of population means using α = 0. 2. One student used a one-tail test and rejected the null hypothesis, but the other used a two-tail test and failed to reject the null. Which of these might have been their calculated value of t?
Based on the calculations, the most likely value of t is equal to 2.2.
Given the following data:
[tex]\alpha =0.2[/tex]What is a null hypothesis?A null hypothesis ([tex]H_0[/tex]) can be defined the opposite of an alternate hypothesis ([tex]H_a[/tex]) and it asserts that two (2) possibilities are the same.
For the one-tail test, we would reject the null hypothesis ([tex]H_0[/tex]) when the p-value is lesser than the value of [tex]\alpha[/tex];
[tex]H_o: P(Z > |\delta|) < 0.02[/tex]
For the two-tail test, we would fail to reject the null hypothesis ([tex]H_0[/tex]) when the p-value is greater than the value of [tex]\alpha[/tex];
[tex]H_o: 2P(Z > |z|) > 0.02\\\\H_o: P(Z > |z|) > 0.01[/tex]
Next, we would determine the positive value of z-score that satisfies this expression;
[tex]0.01 < P(Z < z) < 0.02\\\\[/tex]
From the z-table, we have:
[tex]P(Z > 2.326)\;and\; P(Z > 2.054)\\\\2.054 < z < 2.326[/tex]
Therefore, t = 2.2.
Read more on null hypothesis here: https://brainly.com/question/14913351
a circle is enlarged. the original had a radius of 10 cm. if the new circle has a radius of 30 cm, how many times bigger is the new circumference than the original?
Answer:
3 times bigger
Step-by-step explanation:
[tex]circumference \: of \: a \: circle \: has \: the \: formular \\ c = 2\pi \: r \\for \: the \: original \: circle \: c = 2 \times 3.14 \times 10 = 6.28 \\ = 63 \: approxiately \\ for \: the \: new \: circle \: c = 2 \times 3.14 \times 30 = 188.8 \\ = 188 \: approximately \\ them \: \frac{188}{63} =2.984 \\ = 3 \: approximately \\ therefore \: the \: bigger \: circumferene \: is \: 3 \: times \: the \: smaller \: circumference[/tex]
If x = 5 when y = 12, find y when x = 10.
Answer:
y = 24
Step-by-step explanation:
We need to double the x value by 2 and when we do that we will get the y value .
12 x 2 = 24
Have an amazing day!!
Please rate and mark brainliest!!
Answer:
y = 6
Step-by-step explanation:
Since x and y vary inversely, we have:
xy=k
For x= 5 and y = 12, we have:
⇒ 5×12=k
⇒ k= 60
For x= 10, we have :
⇒ 10y = 60
y = 60/10
y = 6
[RevyBreeze]
i dont understand this question im very bad at maths
2400cm³
Step-by-step explanation:[tex]Volume=15\times 20\times 8[/tex][tex]=300\times 8\\ =2400cm^3[/tex]
[tex](Analyze\ the\ information\ carefully)[/tex]
I hope this helps you
:)
The radius of a circle with area A is approximately √A/3. The area of a circular mouse pad is 51 square inches. Estimate its radius to the nearest integer.
Answer:
23 square meter from Nthabiseng Selina Tsolo
HELP!!!!!HELPPPPPPPPP!
Answer: answer C.
Step-by-step explanation: you have to add and divide
per
Write your answer as a fraction or as a whole or mixed num
1
6
km
13
1
km
1
13
6
km
13
6
1 18 km
13
Answer:
5 11/13km
Step-by-step explanation:
4 ( 1 6/13)
4× 19/13
= 5 11/13
Over 7 months, the weight of a baby measured in pounds doubled. Does its weight measured in kilograms also doubled
Answer:
Yes
Step-by-step explanation:
Yes. Explanations vary. Sample explanation: The weight itself doubles, so
any measurement of the weight using the same units will also double. We
can also see that by saying if the weight is x pounds, then double that weight
would be 2x pounds. The weight in kilograms will be x ÷ 2.2, and the double
weight will be or (2x) ÷ 2.2 2(x ÷ 2.2), which is also double.
please help i am confused.
Scientists put marks on 72 moose as part of an effort to estimate the local moose population. Later, the scientists flew over the area and counted a total of 430 moose, of which 43 were marked. To the nearest whole number, what is the best estimate for the moose population?
Answer:
72x430/43
Step-by-step explanation:
Find the product of 3 1/5 and 5/8.
Express your answer in simplest form.
answer:ok
there are 3 and one fith apples
he need 4
apples
he adds 5/8
apples to his basket
how many apples doess he end up with
Step-by-step explanation:you add them together
PLS HELP ILL MARK AS BRAINLIEST PLSS
Answer:
10%
Step-by-step explanation:
I think it's right lol but I could be wrong I forgot a lot of this stuff
but out of all the data it goes from 22-42 so 20 points in total
there is only 2 of the data points behind 24, so it is 2/20 or 10%
How do I find the fraction that 480 is divided by to get 300
Answer: Final answer: :: written in four ways :: As an improper fraction (numerator larger than denominator): 480/300 = 8/5As a mixed number (mixed fraction) (a whole number and a proper fraction, of the same sign): 480/300 = 1 3/5As a decimal number: 480/300 = 1.6As a percentage: 480/300 = 160%
Step-by-step explanation:
A fraction consists of two numbers and a fraction bar: 480/300The number above the bar is the numerator: 480 The number below the bar is the denominator: 300 The fraction bar means that the two numbers are dividing themselves: 480/300 = 480 ÷ 300 Divide the numerator by the denominator to get fraction's value: Value = 480 ÷ 300 'Percent (%)' means 'out of one hundred': p% = p 'out of one hundred', p% = p/100 = p ÷ 100 The fraction 100/100 = 100 ÷ 100 = 100% = 1 Multiply a number by the fraction 100/100, ... and its value doesn't change.To reduce a fraction, divide both its numerator and denominator by their greatest common factor, GCF. To calculate the greatest common factor, we build the prime factorization of the two numbers. Prime Factorization of a number: finding the prime numbers that multiply together to make that number. 480 = 25 × 3 × 5; 480 is not a prime, is a composite number; 300 = 22 × 3 × 52; 300 is not a prime, is a composite number; * Positive integers that are only dividing by themselves and 1 are called prime numbers. A prime number has only two factors: 1 and itself. * A composite number is a positive integer that has at least one factor (divisor) other than 1 and itself.A proper fraction: numerator smaller than denominator. 8 ÷ 5 = 1 and remainder = 3 => 8 = 1 × 5 + 3 => 8/5 = (1 × 5 + 3) / 5 = (1 × 5) / 5 + 3 / 5 = 1 + 3/5 = 1 3/5 As a decimal number: 1 3/5 = 1 + 3/5 = 1 + 3 ÷ 5 = 1.6As a percentage: 1.6 = 1.6 × 100/100 = 160/100 = 160%three of the angles of a quadrilateral are 100, 104 and 44. what is the size of the 4th angle?
Answer:
112
Step-by-step explanation:
Sum of interior angles in quadrilaterial = 360
360 - 100 - 104 - 44 = 112
Step-by-step explanation:
Let the 4th angle = x
Now,
x + 100 + 104 + 44 = 360° ( the sum of interior angle of quadrilateral is 360°)
x + 248 = 360°
x = 360° - 248
x = 112
Hence, the fourth angle is 112....
Angle α is drawn on the unit circle in standard position. The terminal side of angle α intersects the unit circle at point (-0.292, 0.956). What is the approximate decimal value of tan(α)?
Answer: -3.274
Step-by-step explanation:
Since this is on the unit circle, the cosine is equal to the x coordinate and the sine is equal to the y coordinate.
Since tan = sin/cos, its approximate value is 0.956/-0.292, which is about -3.274.
5. The function f(x) = 17400(0.85)* represents the values of a certain type of car x years after it is
purchased. Xavier states that the decay rate of the value of the car is 85%.
Answer:
Prakash is a pilot change into yes no question
( Pls Help ASAP) 1 question 15 points))
Answer:
-3
Step-by-step explanation:
Answer:
-3
Step-by-step explanation:
It says to find the value at x=2. This is going to be a vertical line that passes through the point (2,0). This vertical line intersects the function at (2,-3) therefore the value of the function at 2, is -3.
I hope this helps!
Please mark brainliest!!
Look at the PICTURE and please respond FAST to get MARKED best.
Answer:
y = 45, x = 25
Step-by-step explanation:
Since 120 and (2y + 30) are vertical angles, (2y + 30) will equal 120.
2y + 30 = 120, Subtract by 30 on both sides
2y = 90, Divide 90 by 2
y = 45
Since 120 and (2x + 10) equal a straight line, it's a supplementary angle. Supplementary angles are equal to 180. Then you do 180 - 120, which equals 60. That means (2x + 10) equals 60.
2x + 10 = 60, Subtract 10 by both sides
2x = 50, Divide 50 by 2
x = 25
Figure ABCDEF is a regular polygon. What is the measure of cdq?
Answer: 60
Step-by-step explanation: first do 6-2 and multiple that by 180 after that your going to divide that by 6 u end up with 120 after subtract 180-120 = 60 .
Please help me with this please and thank you
Answer:
B
Step-by-step explanation:
the common ratio r of a geometric sequence is calculated as
r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{12}{3}[/tex] = 4
Answer:
B 4
Step-by-step explanation:
Divide any number (other than the first one) in the sequence by the previous number.
12/3 = 4
48/12 = 4
Answer: B 4
In Art Museum has 1042 pictures to split equally into 35 different exhibits. How many more pictures does the museum need to make sure each Exhibit
Has the same amount
Answer:
8 more pieces
Step-by-step explanation:
First, divide 1042 by 35 to get 29 and 27/35. Since each exhibit needs 35 pieces, and since 35- 27 is 8, the museum needs 8 more pieces.
Hopefully this helps- let me know if you have any questions!
what value of a makes this proportion 4/12 = a/27
Answer:
The Formula for Percent Proportion is Parts /whole = percent/100. This formula can be used to find the percent of a given ratio and to find the missing value of a part or a whole.
Answer:
a = 9
Step-by-step explanation:
[tex]\frac{4}{12}[/tex] = [tex]\frac{a}{27}[/tex] ( cross- multiply )
12a = 108 ( divide both sides by 12 )
a = 9
Andrew has $550 in a savings account that earns 5% annually how much will she earn in interest in 4 years
Answer:
110
Step-by-step explanation:
formula= P×T×R ÷ 100
550×4×5÷100
55×4×5÷10
1100÷10
$110
A cylinder has volume 120 cm3.What is the volume of a cone with the same radius and height? ? 40 cm 60 cm O 240 cm 360 cm 3
The volume of a cone with the same radius and height as the cylinder is 40cm³.
What is the volume of the cone?
A cylinder is a three-dimensional object. It is a prism with a circular base.
Volume of a cylinder = nr^2h
n = 22/7r = radiusVolume of a cone = 1/3(nr^2h)
The volume of a cone, is 1/3 that of a cylinder.
Volume of the cone = 1/3 x 120 = 40
To learn more about the volume of a cone, please check: https://brainly.com/question/13705125
Answer:cool
Step-by-step explanation:
iono