Find the measure of each arc. For each arc, write two or more complete sentences explaining which theorem or postulate you used to find your answer. Include your equations and calculations in your final answer.
m arcQS
Answers
Answer:
m arcRP = 125°
m arcQS = 125°
m arcSP = 55°
m arcQR = 55°
Step-by-step explanation:
An arc is the curve between two points on the circumference of a circle.
An arc measure equals its corresponding central angle measure.
Vertical Angles Theorem: When two straight lines intersect, the opposite vertical angles are congruent.
Angles on a Straight Line Theorem: The sum of angles formed on a straight line is equal to 180°.
Arc RPAs m∠ROP = 125°
Therefore, m arcRP = 125°
Given the measure of angle ROP is 125°, and an arc measure equals its corresponding central angle measure, the measure of arc RP is 125°.
Arc QSUsing the Vertical Angles Theorem:
⇒ m∠QOS = 125°
Therefore, m arcQS = 125°
Using the Vertical Angles Theorem, the measure of angle QOS is equal to the measure of angle ROP, so the measure of angle QOS is 125°. As an arc measure equals its corresponding central angle measure, the measure of arc QS is 125°.
Arc SPUsing the Angles on a Straight Line Theorem:
⇒ m∠SOP = 180° - 125° = 55°
Therefore, m arcSP = 55°
Using the Angles on a Straight Line Theorem, the measure of angle SOP is 55°. As an arc measure equals its corresponding central angle measure, the measure of arc SP is 55°.
Arc QRUsing the Angles on a Straight Line Theorem:
⇒ m∠QOR = 180° - 125° = 55°
Therefore, m arcQR = 55°
Using the Angles on a Straight Line Theorem, the measure of angle QOR is 55°. As an arc measure equals its corresponding central angle measure, the measure of arc QR is 55°.
Related Questions
HELP ASAP DUE IN AN HOUR
What are the similarities and differences between number 1 and 3?
What are the similarities and differences do you see between 3 and 4
For example:
Similar: both arithmetic/linear/common difference
Different: #1 is discrete #3 is continuous
WILL GIVE BRAIN
Answers
Arithmetic sequences, often known as the common difference, are patterns of numbers that rise or fall at a consistent rate.
What is the formula for calculating the average difference between two arithmetic sequences?
D is equal to a(n) - a(n - 1), where a(n) is the last term and a(n - 1) is the term before it in the series.
Answer and justification ,A common difference exists in every arithmetic sequence. We can enter the values of an, a1, and n into the arithmetic sequence formula and find the common difference if a problem offers us an, a1, and n but not the common difference.
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a ball dropped vertically, falls d t seconds.
d is directly proportional to the sqaure of t.
the ball drop 80 meters in the 4 seconds
how far does the ball drop in the next 8 seconds
Answers
If the ball drops 80 meters in the 4 seconds, the time it takes the ball to drop in the next 8 seconds is; 720 meters
How to utilize constant of proportionality?
We are told that a ball dropped vertically falls a distance of d in t seconds and that d is directly proportional to the square of t. Thus;
D ∝ t²
Thus;
D = kt²
where d is the constant of proportionality.
We are given that D = 80 m when t = 4 seconds and as such we have;
80 = k*4²
k = 80/16
k = 5
Therefore, the equation of motion is;
D = 5t²
When t = 8 + 4 = 12 seconds, we have;
D = 5 * 12²
D = 5 * 144
D = 720 m
Therefore, the distance the ball drops in the next 8 seconds
= 720 - 80
= 640 m.
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Help pleaseeee. A private club was reduced by members in weeks. Its size changed by the same number of members each week. What was the change in the club's size each week?
Answers
Answer: it was changed by 9 members per week.
Step-by-step explanation:
Can someone pls help me? This is urgent! If u do thank you so much!
Answers
The slope of g(x) is [tex]\frac{-2}{5}[/tex] times the slope of f(x)
The x-intercept of f(x) is 8 more than the y-intercept of g(x)
As x approaches -∞, f(x) approaches ∞ and g(x) approaches -∞
Given,
f(x) = 10-5x
g(x) = -6+2x
The slope of f(x) = -5
The slope of g(x) = 2
Hence the slope of g(x) is [tex]\frac{-2}{5}[/tex] times slope of f(x)
For x-intercept assign zero value to f(x). Thus,
10-5x = 0
=> x = 2
So intercept of f(x) = 2
y-intercept of g(x) = -6
Hence x-intercept of f(x) is 8 more than y-intercept of g(x)
As x approaches -∞, f(x) = 10-(5 times (-∞)) = ∞
As x approaches -∞, g(x) = -6 + 2x = -6 + 2(-∞) = -∞
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Solve.
7. Maria walks at a speed of 2 1/2 miles per hour. How long will it take her to walk a
10-mile trail?
Answers
Answer:
4 hours :)
Step-by-step explanation:
Lets multiply to solve :)
1 hr: 2 1/2
2 hrs: 5
3 hrs: 7 1/2
4 hrs: 10 hrs
it will take 4 hours to walk 10 miles :)
Have an amazing day!!
Please rate and mark brainliest!
how many liters of a 25\%%, percent saline solution must be added to 333 liters of a 10\, percent saline solution to obtain a 15\, percent saline solution?
Answers
There is a line that includes the point (-6,-2) and has a slope of 0 what is its equation in slope-intercept form?
Answers
IF THE SLOPE IS 0 IT MEANS THAT THERE IS NO CHANGE IN THE Y COORDINATE OF THE LINE.FOR ANY VALUE OF X GIVEN
THEREFORE THE EQUATION WILL BE
[tex]y = (0)( - 6) - 2 \\ y = - 2[/tex]
THE EQUATION IS
[tex]y = - 2[/tex]
HOPE THIS HELPS
Answer:
The slope-intercept form would be: y = 0x - 2
In a particular college class, 60% of the students are female. Of the female students, 75% have long hair. One student is picked randomly in the class. What is the probability that it is a female with long.
Answers
The probability of selecting a female student with long hair is 45%
Let there be a total of 100 students in the class
Since 60% of the students are female, therefore out of 100 students 60 will be female students
Now, out of these 60 students, 75% have long hair, As a result, = 75% of 60 = 45 female students will have long hair
Probability of selecting female student with long hair = Number of female students with long hair/ Total number of students in the class
= 45/100
So, there is a 0.45 or 45% chance that a female student with long hair is selected
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Please answer this for me¡ <3
Answers
Answer:
3⁶
------
4¹⁵
Step-by-step explanation:
( 4⁻³ )³
( ------------- )
( 3⁻² × 4² )
Switch numbers with negative exponents
( 3² )³
( ------------- )
( 4³ × 4² )
( 9 )³
( ------------- )
( 64 × 16 )
( 9 )³
( ------------- )
( 1024 )
Multiply 9 and 1024 by the 3rd power
729
-------------
1,073,741,824
Simplified would be:
3⁶
------
4¹⁵
I hope this helps!

What is the value of -3 + |-17|?
Answers
Simplify 4.5p(2 − 0.2p).
9p − 0.9p2
9p − 0.2p2
9 − 0.2p2
9 − 0.9p2
Answers
Answer:
9p-0.9p^2
Step-by-step explanation:
Is the relation in this graph a function?
Is the relation in this graph a function?
Answers
Answer:
the first is a function and the parabola is not a function
Step-by-step explanation:
A simple way to know why is the vertical line test.
Draw a vertical line and see whether if there are more than one point in the vertical line. If there's more than one point in the line then it's not a function, but if only one point on the vertical line it IS a function.
In the first graph, you'll notice that any vertical line you'll draw won't pass through two points ever. On the other hand, second graph will have two points found in the vertical line drawn by you, for example: (-2, 3);(-2, -3)
Wish you've enjoyed my answer because the more you enjoy maths, taste it, love it, and understand it, the more you will be successful in it. Good luck
lest to greatest3.008 3.825 3.09 3.18
Answers
Answer: 3.825, 3.180, 3.090, 3.008
Step-by-step explanation:
Answer: 3.008, 3.09, 3.18, 3.825
Step-by-step explanation: Least to greatest just means smallest to largest.
If F, G, and H are the midpoints of the sides of AJKL, FG = 37, KL = 48, and GH = 30, find each of the following measures. FH= JL= KJ= FJ=
Answers
For the given, F, G and H are the midpoints of the sides of ΔJKL, FG = 37, KL = 48, and GH = 30, then measure of FH = 24, measure of JL = 74, measure of KJ = 60 and measure of FJ = 30.
As given in the question,
F, G, and H are the midpoints of the sides of ΔJKL.
F is the midpoint of KJ, G is the midpoint KL, H is the midpoint of JL
Measure of the required sides are as follow:
FH = (KL / 2) (by midpoint theorem)
= (48/2)
= 24
JL = 2 x FG (by midpoint theorem)
= 2 x 37
= 74
KJ = 2 x GH (by midpoint theorem)
= 2 x 30
= 60
FJ = GH = 30 (by midpoint theorem)
Therefore, for the given, F, G and H are the midpoints of the sides of ΔJKL, FG = 37, KL = 48, and GH = 30, then measure of FH = 24, measure of JL = 74, measure of KJ = 60 and measure of FJ = 30.
The complete question is:
If F, G, and H are the midpoints of the sides KJ, KL, and JL respectively of ΔJKL, FG = 37, KL = 48, and GH = 30, find each of the following measures. FH= JL= KJ= FJ=
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Approximating 39 by following the steps below
Answers
Answer:
sqrt(39) is between 6 and 7
Step-by-step explanation:
Start by looking at perfect squares
1^2 =1
2^2 = 4
3^2 = 9
4^2 = 16
5^2 = 25
6^2 = 36
7^2= 49
39 is between 36 and 49
so sqrt(39) is between 6 and 7
Please helppp
Create a table of data for two different linear functions. The table should use the same values of x for both functions. Based on your table, will the graphs of these two functions intersect? Explain your answer
Answers
These two functions' graphs do indeed intersect:
Formula 1: F(X)=2X+5
The formula 2=H(X)=3X+2
INTERSECT=(3,11)
Describe function:a mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable).Everywhere in mathematics are functions, which are essential for building physical connections in the sciences.
According to the given data:The first step is to generate two linear functions. I created the linear functions f(x)=2x+5 and h(x)=3x+2 (without a quadratic term). Then
You substitute a number for the x:
F(X)=2X+5 in Table 1 (H(X)=3X+2) Table 2
X=1——->Y=2+5=7 X=1------> Y=3·1+2=5
X=2---->
Y=2·2+5=9 X=2-----> Y=3·2+2=8
X=3---->
Y=3·3+5=11 X=3-----> Y=3·3+2=11
The two - dimensional functions will intersect at the X=3/Y=11 location, as demonstrated by both data tables, which is the answer.
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Find the average rate of change:
Answers
The table has an average rate of change of 3
How to determine the average rate of change?The table represents the given parameter
From the table, we have the following interval is given as
[3, 7]
This can be rewritten as
x = 3 to x = 7
From the attached table, we have
f(3) = 7
f(7) = 19
The average rate of change of the function is then calculated as
Rate = [f(b) - f(a)]/[b - a]
This gives
Rate = [19 - 7]/[7 - 3]
Evaluate
Rate = 3
Hence, the average rate of change is 3
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Please helppppp
Which inequality is NOT part of the system of inequalities that defines a polygonal convex set that includes all points in the interior of a square whose vertices are: A(4, 4), B(4, -4), C(-4, -4) and D(-4, 4)?
Answers
The inequality that is not part of the system of inequalities that defines a polygonal convex set that includes all points in the interior of a square whose vertices are: A(4, 4), B(4, -4), C(-4, -4) and D(-4, 4) is y ≤ -4. This is option C
How to find the inequalities that does not define the points in the interior of a square.given data
A(4, 4)
B(4, -4)
C(-4, -4)
D(-4, 4)
Looking at the given points the coordinates we can see that:
x coordinates has points:
4 4-4-4This is basically 4 and -4 which is represented as -4 ≤ x ≤ 4
y coordinates has points:
4 -4-44This is basically 4 and -4 which is represented as -4 ≤ y ≤ 4
The inequality that is different from the one listed above is in option C making it the correct option.
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What is
the circumference of
a circle with a radius of 9.7 inches?
Use 3.14 for
pi.
Enter your answer as a decimal in the box.
Answers
The circumference of circle with radius 9.7inch is 60.916 inch.
What is circumference of circle ?The perimeter of a circle is known as its circumference. It is the length of the circle's whole perimeter. The diameter of a circle and the constant are multiplied to get the circumference of the circle. This measurement of a circle's circumference is necessary for someone to cross a circular park or for a circle-shaped table to have a border. The units of the circumference are the same as the units of length and it is a linear value.
A circle is a closed round object whose border points are all equally spaced apart from the center, which is a fixed point.
Given that :the circle with a radius of 9.7 inches
Circumference of a circle is [tex]2\pi r[/tex]
2 ×3.14×9.7 = 60.916
The circumference of circle with radius 9.7inch is 60.916 inch.
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What is the scientific notation of 500,000,000,000
Answers
Answer:
The scientific notation for 500000000000 is 5 × 1011
Step-by-step explanation:
The 11 is going to be a superscripts(meaning its going to be placed at the top right corner of the 10)
your mom is planning to put up fence in front of your house. If the perimeter of the lot is is X + 8x 16. What is the measure of the front side?
Answers
Answer:
[tex]x + 8 \times 16 \\ 8 - 16 = 8[/tex]
14. There are 3 teaspoons in a tablespoon. Show how to convert 15 teaspoons to tablespoons using a
ratio table and using a conversion factor.
Answers
There are 3 teaspoons in a tablespoon, 15 teaspoons to tablespoons using a ratio table and using a conversion factor will be total as 5 tablespoons.
What is a ratio table?The consistent relationship between two values is shown in a ratio table. A rate is a unique ratio that is used to compare two quantities with different units of measurement. There are various ways to examine a ratio table.
What is displayed in a ratio table?Equivalent ratios between two quantities are displayed in ratio tables. In order to find an equal ratio, you can make a ratio table by multiplying (or dividing) the quantities in the ratio by the same number.
You can use a ratio table to determine equal ratios and solve difficulties.
What is an example of a conversion factor?A conversion factor is a kind of number that is used to multiply or divide one set of units into another.
If any kind of a conversion is required, it must be done using the proper and correct conversion factor to get an identical value. For instance, 12 inches equals a total of one foot when converting between inches and feet.
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At a garage sale, Liyah priced
her scooter for $15.50. She
ended up selling it for $10.75.
Find the percent of decrease
in the price of the scooter.
Round to the nearest tenth if
necessary
Answers
Answer:30.6452% decrease
Step-by-step explanation:
-Subtract starting value(original price) minus final value
-Divide that amount by the absolute value of the starting value
-Multiply by 100 to get percent decrease
-If the percentage is negative, it means there was an increase and not an decrease.
David traveled 4/5 of his trip by bicycle and the rest of the distance by foot. If the whole trip was 160km, how many kilometres dad he travel by foot?
Answers
Answer:
Step-by-step explanation:
I will explain it in a screenshot. That all the way is divided into 5 parts. And 4 of them were by bicycle, and 1 part is by walk. So we divide all the way to 5 and multiply to leftover 1 piece.
Solve the equation for w.
w divided by 1.4 minus 3.7 equals 6.5
2
3.92
14.28
7.3
Answers
the answer is 14.28
Step-by-step explanation:
w/1.4_3.7=6.5
w/1.4=6.5+3.7
w/1.4=10.2
w=10.2*1.4
w=14.28
Answer: 14.28!
Step-by-step explanation:
I got a perfect 100% on my exam! This answer was right can i get brainliest?
Determine the value of z
A. 20 degrees
B. 36 degrees
C. 88 degrees
D. 124 degrees
Answers
WE STILL HAVE TO FIND THE TWO UNKNOWNS FIRST. TO BE ABLE TO GET Z
x°+144°=180°(angles on a straight line)
x°=180°-144°
x=36°
y°+56°=180°(angles on a straight line)
y°=180°-56°
y=124°
z°+y°+x°=180°(sum of angles in a triangle)
z°+124°+36°=180°
z°=180°-124°-36°
z=20°
Answer the following prompt using the continuous growth formula A=Pe^rt
You have received a report of a mysterious illness that seems to turn the infected humans into mindless zombies has broken out in a major American city. Since the hungry zombies prey upon innocent people, the outbreak grows continuously at a rate of 12% per day. The outbreak begins with 8 people.
1. Write the formula that matches this scenario.
2. How many zombies will there be after 5 days?
3. How many days will it take for the zombie population to reach 3,700,00 (about the population of Los Angeles, CA)?
Answers
The solution to the questions are
The formula of the scenario is A = 8 * e^0.12tThe number of zombies after 5 days is 15The number of days is 39How to determine the formula?The general formula is given as
A = Pe^rt
In this case, we have
P = Initial number of people
r = rate
t = time
From the question, we have
P = 8
r = 12% = 0.12
So, we have
A = 8 * e^0.12t
The number of zombies after 5 daysThis means that t = 5
So, we have
A = 8 * e^(0.12 * 5)
Evaluate
A = 15
The number of days to reach 3,700,00This means that A = 3,700,00
So, we have
8 * e^0.12t = 3,700,00
Divide by 8
e^0.12t = 46250
Take the logarithm of both sides
0.12t = log(46250)
This gives
0.12t = 4.7
Divide
t = 39
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Find an equation in standard form of the parabola that passes through (0, 0), (-2, -6), and (3, -3)
Answers
Answer:
[tex]y = - \frac{ {4x}^{2} }{5} + \frac{7x}{5} [/tex]
A man earned wages of 41,500 received 1900 and interest from a savings account and contributed 2900 to a tax deferred retirement plan he was entitled to a personal exemption of $4050 and had deductions totally $6660 find his gross income adjusted gross income and taxable income
Answers
Answer:
Gross Income = $ 43400
Adjusted Gross Income=$40500
Taxable Income = $33840
Step-by-step explanation:
given that-
Income paid to man
Wages = $41,500
Savings Interest = $1900
Tax Def Contribution=$2900
Deductions= $6660
personal exemption =$4050
Gross Income = Income paid to man = 41500 + 1900 = $ 43400
Adjusted Gross Income = Income - Tax Def Contribution = $43400-$2900=$40500
Taxable Income = AGI - Deductions = 40500 - 6660 = $33840
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please help me to solve this hard question.I need your help right now
Answers
Answer:
θ = 110.61°
Step-by-step explanation:
It's not that hard :)
Let a = θ/3
Then sin a = 3/5 = 0.6
a = sin⁻¹(a) = 36.87°
=> θ/3 = 36.87°
θ = 3 x 36.87
θ = 110.61°