The measures of the angles and the proofs are shown below
Calculating the measures of the angles and proofsCircle 4
The angle at the centre is twice the angle at the circumference
So, we have
360 - ∠BOD = 2 * 110
Evaluate
∠BOD = 140
Circle 5
Next, we use the following theorem
Angle in a semicircle is 90 degrees
So, we have
∠ABD + 19 = 90
∠ABD = 71
Angles in the same segment are equal
So, we have
∠ACB = 19
Circle 6
Using the same theorem above, we have
5y + y = 90
y = 15
So, we have
∠BAC = 5 * 15
∠BAC = 75
Circle 7
By the corresponding angle theorem, we have
∠ABO = ∠CDO
By the sum of opposite internal angles in a triangle, we have
∠BOC = ∠BAO + ∠ABO
Substitute ∠ABO = ∠CDO
∠BOC = ∠BAO + ∠CDO --- proved
The angles at the edges are equal because they are corresponding angles of congruent isosceles triangles
Cyclic Quadrilateral
The opposite angles of cyclic quadrilaterals add up to 180 degrees
So, we have
180 - ∠x + 180 - ∠y = 180
Evaluate
∠x + ∠y = 180 --- proved
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Averi walker paid off a 150-day note at 6% with a single payment, also known as a balloon payment, of $2,550. find the face value (p) and interest (i) for the simple interest note.
Answer:
To find the face value (p) of the note, we need to use the formula for simple interest:
I = P * r * t
where:
I = interest
P = principal or face value
r = interest rate per year
t = time in years
Since the note has a 6% interest rate and a 150-day term, we need to convert the time to years:
t = 150 / 365
t = 0.41096 years
Now we can solve for the face value:
I = P * r * t
2550 = P * 0.06 * 0.41096
2550 = 0.0246576P
P = 2550 / 0.0246576
P = 103364.99
So the face value (p) of the note is $103,364.99.
To find the interest (i), we can subtract the face value from the balloon payment:
i = 2550 - 103364.99
i = -100814.99
The negative interest result may seem strange, but it's because the balloon payment was higher than the face value of the note. In other words, Averi paid more than the note was worth in order to fully pay off the principal and interest.
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Which fraction comparison reasoning strategy can be used when both fractions have the same number of pieces?
The city built a skate park that cost $3,240 and will be paid for over two years in equal monthly payments. How much is each monthly payment? Use area models or drawings to help you solve the problem
Answer:
Somebody once told me the world is gonna roll me
I ain't the sharpest tool in the shed
She was looking kind of dumb with her finger and her thumb
In the shape of an "L" on her forehead
Well the years start coming and they don't stop coming
Fed to the rules and I hit the ground running
Didn't make sense not to live for fun
Your brain gets smart but your head gets dumb
So much to do, so much to see
So what's wrong with taking the back streets?
You'll never know if you don't go
You'll never shine if you don't glow
Hey now, you're an all-star, get your game on, go play
Hey now, you're a rock star, get the show on, get paid
And all that glitters is gold
Only shooting stars break the mold
It's a cool place and they say it gets colder
You're bundled up now, wait 'til you get older
But the meteor men beg to differ
Judging by the hole in the satellite picture
The ice we skate is getting pretty thin
The water's getting warm so you might as well swim
My world's on fire, how about yours?
That's the way I like it and I'll never get bored
Hey now, you're an all-star, get your game on, go play
Hey now, you're a rock star, get the show on, get paid
All that glitters is gold
Only shooting stars break the mold
Hey now, you're an all-star, get your game on, go play
Hey now, you're a rock star, get the show, on get paid
And all that glitters is gold
Only shooting stars
Somebody once asked could I spare some change for gas?
I need to get myself away from this place
I said, "Yup" what a concept
I could use a little fuel myself
And we could all use a little change
Well, the years start coming and they don't stop coming
Fed to the rules and I hit the ground running
Didn't make sense not to live for fun
Your brain gets smart but your head gets dumb
So much to do, so much to see
So what's wrong with taking the back streets?
You'll never know if you don't go (go!)
You'll never shine if you don't glow
Hey now, you're an all-star, get your game on, go play
Hey now, you're a rock star, get the show on, get paid
And all that glitters is gold
Only shooting stars break the mold
And all that glitters is gold
Only shooting stars break the mold
Step-by-step explanation:
2.) The following figures are similar. Which angle corresponds to angle R?
a. Angle T
b. Angle U
C. Angle V
Answer:
Angle T
Step-by-step explanation:
Because it’s the closest to Angle R
if I'm right the small triangle is similar to the big one so it would be R&T just like Q&U and S&V go together
Calculate the perimeter of the following.
The perimeter of the figure is 52 cm
How to determine the perimeter of the figureFrom the question, we have the following parameters that can be used in our computation:
The composite figure
The perimeter of the figure is the sum of the side lengths of the figure
So, we start by calculating the missing lengths as follows
Missing = 12 cm/4
Missing = 3 cm
Using the above as a guide, we have the following:
Perimeter = 12 + 9 + 3 + 3 + 3 + 3 + 3 + 3 + 7 + 9 - 3
Evaluate
Perimeter = 52
Hence, the perimeter is 52 cm
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D 2. Is it true to say, between any 2 distinct integers, there always exists a national numbers.
Answer:
i would say no
Step-by-step explanation:
Between any two distinct integers not necessary to be one integer.
Hope This Helped
a rectangular plot of land measures 40.0 m by 120.0 m, with a parcel 10.0 m by 12.0 m out of one corner for an electrical transformer. what is the area, in meters squared, of the remaining plot?
The area of the remaining rectangular plot of land is 4680m²
Area of rectangle:
Area of rectangle means the area covered by the rectangle.
The formula for area of rectangle is
A = l x b
where,
l is the length of the rectangle
b is the breadth or width of the rectangle
Given,
A rectangular plot of land measures 40.0 m by 120.0 m, with a parcel 10.0 m by 12.0 m out of one corner for an electrical transformer.
Here we need to find the remaining area of the rectangular plot land.
For that first, we have to find the area of each separately,
Like,
The area of the rectangular plot is,
A₁ = 40.0 x 120.0 m²
A₁ = 4800m²
Similarly, the area of the electric transformer is,
A₂ = 10.0 x 12.0 m²
A₂ = 120m²
Now the remining area is,
A = A₁ - A₂
A = 4800 - 120 m²
A = 4680m²
Therefore, the area of the remaining rectangular plot is 4680m².
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If there are 16 ounces in a pound. How many pounds are in 24 ounces?
Answer: 1.5 pounds
Step-by-step explanation: 16 oz(one pound) + 8oz(half a pound)= 24oz
A group of friends wants to go to the amusement park. They have $89.50 to spend on parking and admission. Parking is $7.75, and tickets cost $27.25 per person, including tax. Write and solve an equation which can be used to determine pp, the number of people who can go to the amusement park.
The number of people who can go to the amusement park is 3 people
EquationTotal amount with the group of friends = $89.50Cost of parking = $7.75Cost of tickets per person =$27.25Number of people who can go to the amusement park = p89.50 = 7.75 + 27.25p
subtract 7.75 from both sides89.50 - 7.75 = 27.25p
81.75 = 27.25p
divide both sides by 27.25p = 81.75 / 27.25
p = 3
Therefore, the number of people who can go to the amusement park is 3 people.
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what is the slope of a line whose graph is parallel to the graph of -3x+y=2?
Answer:
Step-by-step explanation:
if the lines are parallel they have the same gradient.
rearrange the equation to make y the subject and then use the m value as gradient.
-3x=2-y
-3x-2=-y
y=-(-3x-2)
y=3x+2
therefore m=3
slope is 3
Given cos theta = - 2/5 and sin theta < 0, find the six trigonometric values. I need help with this
Answer:
\(\sin\,\theta =-\frac{\sqrt{21} }{5}\)
\(\tan\,\theta =\frac{\sqrt{21} }{2}\)
\(\sec\,\theta = \frac{-5}{2}\)
\(cosec\,\theta =\frac{-5}{\sqrt{21} }\)
\(\cot\,\theta =\frac{2}{\sqrt{21} }\)
Step-by-step explanation:
\(\cos\theta =\frac{-2}{5}<0\\sin\theta <0\)
As both \(sin\,\theta<0,\,\cos\,\theta <0\),
\(\theta\) lies in the third quadrant.
In the third quadrant,
\(\sin\theta<0,\,\cos\,\theta <0\,,\,\sec\,\theta<0,\,cosec\theta<0,\,tan\,\theta>0,\,cot\,\theta>0\)
\(\sin\,\theta =-\sqrt{1-\cos^2\,\theta} \\=-\sqrt{1-(\frac{-2}{5})^2 } \\\\=-\sqrt{1-\frac{4}{25} }\\\\=-\sqrt{\frac{25-4}{25} }\\\\=-\frac{\sqrt{21} }{5}\)
\(\tan\,\theta = \frac{\sin\,\theta}{\cos\,\theta }\\\\=\frac{\frac{-\sqrt{21} }{5} }{\frac{-2}{5} }\\\\=\frac{\sqrt{21} }{2}\)
\(\sec\,\theta =\frac{1}{\cos\,\theta }\\\\=\frac{1}{\frac{-2}{5} }\\\\=\frac{-5}{2}\)
\(\ cosec \,\theta = \frac{1}{sin\,\theta }\\\\=\frac{1}{\frac{-\sqrt{21} }{5} }\\\\=\frac{-5}{\sqrt{21} }\)
\(\cot\,\theta =\frac{1}{\tan\,\theta}\\\\=\frac{1}{\frac{\sqrt{21} }{2} }\\\\=\frac{2}{\sqrt{21} }\)
can someone help please
When Tracey pours all the water from the smaller 5-inch cube container into the larger 7-inch cube container, the water will be approximately 7 inches deep in the larger container.
To find out how deep the water will be in the larger container, we need to consider the volume of water transferred from the smaller container. Since both containers are cube-shaped, the volume of each container is equal to the length of one side cubed.
The volume of the smaller container is 5 inches * 5 inches * 5 inches = 125 cubic inches.
When Tracey pours all the water from the smaller container into the larger container, the water completely fills the larger container. The volume of the larger container is 7 inches * 7 inches * 7 inches = 343 cubic inches.
Since the water fills the larger container completely, the depth of the water in the larger container will be equal to the height of the larger container. Since all sides of the larger container have the same length, the height of the larger container is 7 inches.
Therefore, the water will be approximately 7 inches deep in the larger container.
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A particular disease is tested for and the results determine that it occurs in about 1 of every 275 Hispanic baby births and about 1 of every 184,000 non Hispanic baby births. Find the empirical probability that a randomly selected Hispanic baby will have this disease.
Since the selected baby is Hispanic, we can use the probability given for Hispanic babies, which is 1 of 275.
\(P=\frac{1}{275}\approx0.0036=0.36\text{ \%}\)Answer the question below by clicking on the correct response.GERALD'S CLASS SCHEDULEDay 8–8:50 A.M. 9–9:50 A.M. 10–10:50 A.M. 11-11:50 A.M. 12–12:50 P.M. 1-2:15 P.M.Monday Art 301 Math 220Psych 212TuesdayEnglish 230 History 201Wednesday Art 301 Math 220History 201ThursdayMath 220 English 230Psych 212Friday Art 301English 230 History 201The table above shows Gerald's class schedule for a week. The first through the fifth time slots are50 minutes each, and the sixth time slot is 75 minutes. On Thursday, what fraction of the time from8:00 A.M. to 2:15 P.M. is Gerald scheduled to be in class?
ANSWER
7/15
EXPLANATION
We can see that there are 6 time slots. It is said that the first five are 50 minutes long and the 6th is 75 minutes long.
Gerald has a class on the 2nd slot, another on the 3rd slot and one more in the 6th slot. Therefore in total he's scheduled for:
\(50+50+75=175\)175 minutes of class.
We have to see how many minutes there are between 8 AM and 2:15 PM. We can add first the hours: from 8am to 12pm there are 4 hours. Then from 12pm to 2 pm there are 2 more hours. In total that's 6 hours which in minutes is:
\(6\times60=360\)But we have to add the last 15 minutes:
\(360+15=375\)In summary, between 8AM and 2:15 PM there are 375 minutes, from which 175 minutes are the one Gerald has classes. To find the fraction we have to put 175 in the numerator and 375 in the denominator:
\(\frac{175}{375}\)And simplify:
\(\begin{gathered} \text{ divide both num and den by 25:} \\ \frac{7}{15} \end{gathered}\)So Gerald is scheduled for class 7/15 of the time between 8AM and 2:15 PM
i need help what is 5/6 divided by 3? any good answers ??
Answer: 5/18
Step-by-step explanation:
Answer:
1 remainder 2 or 1 2/3
Step-by-step explanation:
this is the answer
i’ll give brainlest!
Answer:
Z = 3
Step-by-step explanation:
if y = 3 then 3 x 2 = 6 subtract that from 9 and u get 3 so therefore z is 3
Please answer thiss!!! I need ASAP!
Answer:
Need to distribute negative sign between groups.
Step-by-step explanation:
- (3x - x^2 + 1) =
-3x + x^2 - 1
Find the 12th term of the geometric sequence 2, 10, 50, ...2,10,50,...
What's the inverse of f x )= 1 4x 7?
The inverse of f is a function which takes any value x and divides it by 4, then adds 7 to the result.
The inverse of a function is the opposite of the original function, meaning that it takes the output of the original function and turns it back into the input. In this case, the original function is f(x)=1/4x+7. To find the inverse, we need to solve for x in the equation, which can be done by subtracting 7 from both sides and then multiplying both sides by 4. This gives us x=(x+7)/4, which is the inverse of the original function. To put it simply, the inverse of f takes any output of the original function, adds 7 to it, and then divides it by 4 to get the original input.
example;
If f(x)=1/4x+7 and x=3, then
f(3) = (1/4)3 + 7
7.75
The inverse of f is f^-1(x) = (x + 7) / 4.
If f^-1(7.75) = (7.75 + 7) / 4, then
f^-1(7.75) = 14.75 / 4
3.6875
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Consider the following inequality
Select the values that are in the solution set of this inequality. Select all that apply.
Select the objects by clicking on the tile. Clicking on a selected object will deselect it.
Answer:
3.25 and 4
Step-by-step explanation:
2y + 1/2 > 2y - (5/4y - 9/2)
2y + 1/2 > 3/4y + 9/2
1 1/4y > 8/2
y > 3.2
of the choices, only 3.25 and 4 are greater than 3.2
(3.2 is not greater than 3.2)
Answer:
3.25
Step-by-step explanation:
Which of the following statements accurately describes the net of a rectangular prism with a length of 18 millimeters, a width of 7 millimeters, and a height of 12 millimeters? Select all that apply.
A)
The net will be made up of 6 parts, representing the top, bottom, front, back, and both sides of the rectangular prism.
B)
The net will be made up of 4 parts, representing the top, bottom, and both sides of the rectangular prism.
C)
Two parts of the net will have dimensions 12 mm by 7 mm.
D)
Two parts of the net will have dimensions 7 mm by 18 mm.
E)
Two parts of the net will have dimensions 6 mm by 12 mm.
A) The net will be made up of 6 parts, representing the top, bottom, front, back, and sides of the rectangular prism.
C) Two parts of the net will have dimensions of 12 mm by 7 mm.
D) Two parts of the net will have dimensions of 7 mm by 18 mm.
What are the characteristics of a rectangular prism?A rectangular prism contains six faces, twelve edges, and eight vertices.
The rectangular prism's top and bottom are always rectangles.
It, like the cuboid, has three dimensions: length, breadth, and height.
Pairs of opposing faces are said to be identical or congruent.
These assertions accurately describe the net of a rectangular prism with dimensions of 18 millimeters, 7 millimeters in width, and 12 millimeters in height. The net will be divided into six sections that represent the top, bottom, front, back, and sides of the rectangular prism. Two pieces of the net will be 12 mm by 7 mm in size, and two parts will be 7 mm by 18 mm in size.
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Help me solve this, plz!! WILL MARK BRAINLIEST!! Show how to solve, plz and thank you!!
Answer:
6<x<9Step-by-step explanation:
from the graph above the non linear paths are the curves on the Cartesian plain
on the y-axis, you'll get to see the curve there for the the values for x and y intervals are at their maximum, which in range is 6<x<9
The Nth Fibonacci number is defined as the sum of the two previous Fibonacci numbers where the 0th and 1st Fibonacci numbers are defined as 1. What is the maximum size of the stack when this function is called with the argument 4?
The maximum size of the stack would be 3.
The maximum size of the stack when the function is called with the argument 4 is 3, since the function requires three recursive calls to compute the fourth Fibonacci number.
This can be seen more clearly when written out as the recursive definition of the nth Fibonacci number:
fib(n) = fib(n - 1) + fib(n - 2), where fib(0) =1 and fib(1) = 1.
For the example given of n = 4, you would need to make the following recursive calls:
fib(4) -> fib(3) + fib(2)
fib(3) -> fib(2) + fib(1)
fib(2) -> fib(1) + fib(0)
Therefore, the maximum size of the stack would be 3.
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Identify the solution of the two linear functions from the graph
Help plsss
Answer: (-0.5, 3)
Step-by-step explanation:
The solution of two graphed linear functions is the point of intersection, also known as the point the lines cross each other. See attached for a visual. These lines intersect at point (-0.5, 3) which means our answer is;
(-0.5, 3)
Identify the slope shown in the linear equation below. y = - 5x + 3
Answer:
Slope: -5 Y-intercept: 3
Step-by-step explanation:
the slope intercept of a linear equation is:
y=mx+b
were m is slope. and b is the y intercept
therfore the problem is:
y=-5x+3
m=-5 so the slope is -5
b=3 so the y-intrercept is 3
Answer:
-5
Step-by-step explanation:
The slope is always in front of the x
If a fraction beetween 0 and 1 is multiplied by another fraction between 0 and 1 the product is less than 1
Yes, it is a true statement, that product of two fractions that are each between 0 and 1 is also between 0 and 1.
In math, what is a fraction?
An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction.For example
a=0.2
b=0.5
a × b
=0.2 × 0.5
=0.10
Take ,another example
a=0.9
b=0.25
a × b
=0.9 × 0.25
=0.225
In both the cases, number is less than 1, when you have multiplied two numbers between 0 and 1.
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if jacob rents skates for 3 ours, how much cheaper would quad skates be than inline skates
The quad skates would be $6 cheaper than inline skates for a 3-hour rental period, based on the given rates. It's important to note that the actual price difference would depend on the specific rental rates for quad skates and inline skates.
To determine how much cheaper quad skates would be compared to inline skates for a 3-hour rental period, we need to know the rental rates for each type of skate. Without this information, it is not possible to provide an exact answer.
First, you would need to know the rental rates for quad skates and inline skates per hour. Let's assume the rental rate for quad skates is $5 per hour and for inline skates is $7 per hour.
However, if we assume that the rental rates for quad skates and inline skates are given, we can calculate the price difference. Let's say the rental rate for quad skates is $10 per hour, and for inline skates, it is $12 per hour.
For a 3-hour rental period:
Quad skates would cost: 3 hours * $10/hour = $30.
Inline skates would cost: 3 hours * $12/hour = $36.
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what is the probability that a randomly selected customer had at least one order in the previous month or uses express shipping?
The probability that a randomly selected customer had at least one order in the previous month or uses express shipping is 0.9242.
Describe Probability?Probability is a branch of mathematics that deals with the study of random events or outcomes. It is used to measure the likelihood or chance of an event occurring, ranging from impossible (0 probability) to certain (1 probability).
The basic concept of probability involves determining the ratio of the number of favorable outcomes to the total number of possible outcomes. This ratio is expressed as a fraction, decimal, or percentage.
For example, if you toss a fair coin, there are two possible outcomes: heads or tails. The probability of getting heads is 1/2 or 0.5 or 50%, and the probability of getting tails is also 1/2 or 0.5 or 50%.
P( at least one order in the previous month or uses express shipping)
=P(at least one order in the previous month) + P(uses express shipping) - P(at least one order in the previous month and uses express shipping)
\(\frac{107+63}{211} +\frac{131}{211} -\frac{65+41}{211}\)
= 0.9242
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hellppp me this is hard
Answer:
f
Step-by-step explanation:
its is that because it would mean he would be going 65 whuch its asking for a general speed.
Jonahs grandmother gave him $125 for his birthday. He used 14% of the money to buy Music on iTunes
Answer:
Jonah used $17.50 (14% of $125) to buy music on iTunes.
Step-by-step explanation: