One pair of vertical angle are ∠1 and ∠4 ; ∠2 and ∠3
One pair of adjacent angles are ∠1 and ∠2; ∠3 and ∠4; ∠1 and ∠3; ∠2 and ∠4.
One pair of supplementary angles are ∠1 and ∠2; ∠3 and ∠4.
What are vertical angles?
When two lines intersect, there are two vertical angles.
The vertical opposite angle of ∠1 is ∠4.
The vertical opposite angle of ∠2 is ∠3.
The vertical angles are ∠1 and ∠4; ∠2 and ∠3.
When two angles have a similar vertex and side, they are referred to as neighboring angles. The vertex of an angle is the point at which the rays that make up its sides come to an end.
∠1 and ∠2 have similar vertex and side. ∠2 and ∠3 have similar vertex and side. ∠3 and ∠4 have similar vertex and side. ∠3 and ∠4 have similar vertex and side.
Angles that add up to 180 degrees are referred to as supplementary angles.
∠1 and ∠2 is linear pair, it supplementary angles.
∠2 and ∠4 is linear pair, it supplementary angles.
∠3 and ∠4 is linear pair, it supplementary angles.
∠1 and ∠3 is linear pair, it supplementary angles.
To learn more about supplementary angles, click on below link:
https://brainly.com/question/17797409
#SPJ1
find the constant of proportionality on this graph
PLEASE HELP GIVING BRAINLIEST :))
Answer:
I think the constraint of proportionality is 25 because each dot it increases buy 25.
I also believe that at 10 the total should be at 225.
5x+7x=180 a.___
12=80 b.__
x=15 C.___
Answer:
5x + 7x = 180
x = 15
Step-by-step explanation:
5x + 7x = 12x
180/12 = 15
How many numbers between 1 and 200 are divisible by 4 or 6?
Between 1 and 200, there are 66 numbers that are divisible by either 4 or 6.
To find the numbers between 1 and 200 that are divisible by 4 or 6, we need to determine the count of numbers divisible by 4 and the count of numbers divisible by 6, and then subtract the count of numbers divisible by both 4 and 6 (since they would be counted twice).
Divisibility by 4:
To find the count of numbers divisible by 4, we divide 200 by 4 and round down to the nearest whole number. So, 200 divided by 4 equals 50, meaning there are 50 numbers divisible by 4 between 1 and 200.
Divisibility by 6:
Similarly, to find the count of numbers divisible by 6, we divide 200 by 6 and round down. 200 divided by 6 equals approximately 33.33, so there are 33 numbers divisible by 6 between 1 and 200.
Numbers divisible by both 4 and 6:
To find the count of numbers divisible by both 4 and 6, we need to find the count of numbers divisible by their least common multiple, which is 12. We divide 200 by 12 and round down, resulting in approximately 16.67. Thus, there are 16 numbers divisible by both 4 and 6 between 1 and 200.
Finally, we add the count of numbers divisible by 4 and the count of numbers divisible by 6 and subtract the count of numbers divisible by both 4 and 6 to get the total count of numbers divisible by either 4 or 6. Therefore, there are 50 + 33 - 16 = 67 numbers between 1 and 200 that are divisible by either 4 or 6.
Learn more about Divisibility here:
https://brainly.com/question/2273245
#SPJ11
the population of nigeria can be modeled by the function where measures the population in millions and represents the number of years since 2000. using this model, what was the population of nigeria in 2011? predict the population of nigeria in 2021. if this growth rate continues, in what year will the population of nigeria reach 2 billion people?
The population of Nigeria in 2011 is 366.466 million people. The population of Nigeria in 2021 is 469.557 million people. In the year 2080, the population of Nigeria reaches 2 billion people.
As per the question,
P( t ) = 279\(( 1 + 0.0251 )^{t}\) → 1
where, P( t ) = population in millions
t = number of years since 2000
⇒ Population of Nigeria in 2011,
Substitute t = 11 in 1,
P( t ) = 279\(( 1 + 0.0251 )^{t}\)
= 279\(( 1 + 0.0251 )^{11}\)
= 279\(( 1.0251 )^{11}\)
= 279( 1.3135)
P( t ) = 366.466
⇒ Population of Nigeria in 2021,
Substitute t = 21 in 1,
P( t ) = 279\(( 1 + 0.0251 )^{t}\)
= 279\(( 1 + 0.0251 )^{21}\)
= 279\(( 1.0251 )^{21}\)
= 279( 1.683)
P( t ) = 469.557
⇒ Year in which the population of Nigeria becomes 2 billion i.e. 2000 million
Substitute P( t ) = 2000 in 1,
P( t ) = 279\(( 1 + 0.0251 )^{t}\)
2000 = 279\(( 1 + 0.0251 )^{t}\)
\(( 1 + 0.0251 )^{t}\) = 2000 / 279
\(( 1 + 0.0251 )^{t}\) = 7.16845878
By applying log on both sides,
t log( 1.0251 ) = log( 7.16845878 )
t = log( 7.16845878 ) / log( 1.0251 )
t = 79.4547 ≅ 80
Therefore, The population of Nigeria is 366.466 million in 2011, 469.557 million in 2021 and 2000 million i.e. 2 billion in 2080.
To know more about finding population problems refer to:
https://brainly.com/question/25896797
#SPJ4
The complete question is
The population of Nigeria can be modelled by the function
P( t ) = 279\(( 1 + 0.0251 )^{t}\)
where measures the population in millions and represents the number of years since 2000. using this model, what was the population of Nigeria in 2011? predict the population of Nigeria in 2021. if this growth rate continues, in what year will the population of Nigeria reach 2 billion people?
HELP ME PLS IM DYING
Answer:
Step-by-step explanation:
7.
n=5 (given)
3n=15
3n-7=8
-10(3n-7)=-80
Check:
-10(3(5)-7)=-80
-10(15-7)=-80
-10(8)=-80
-80=-80
For 8 you can create your own descriptions of the next step (i.e Multiply both sides by 2) and just build a different equation from there.
15:60 simlplfed a. 3:4 b 1:4 c 2:5
Answer: b 1:4
Step-by-step explanation:
Answer:
The given expression 15:60 can be simplified by dividing both the numerator and denominator by their greatest common factor (GCF), which is 15 in this case. So, 15 divided by 15 is 1 and 60 divided by 15 is 4. Therefore, the simplified form of 15:60 is 1:4.
So, the answer is (b) 1:4.
trinity has 6 books to read for homework this week . if she reads 2/3 of a book each night how many nights will it take her to read all six books?
A truck is shipping jugs of drinking water and cases of paper towels. A jug of drinking water weighs 35 pounds and a case of paper towels weighs 25 pounds. The truck can carry 1,600 pounds of cargo altogether.
1. Complete the table showing three ways the truck could be packed with jugs of water and cases of paper towels.
jugs of drinking water, w
cases of paper towels,
2. Write an equation relating the number of jugs of water, w, and the number of cases of paper towels, t, the truck can carry.
Next →
Please help me, I’ll give you brainlyist point and like 50 points.
Using a system of equations, we have that:
1. The table is completed on the image given at the end of the answer.
2. The equation is: 35w + 25t = 1600.
What is a system of equations?A system of equations is a set of equations in the context of a problem, and solving these equations, the numeric value of each variable in the context of the problem is found.
The variables in this problem are defined as follows:
Variable w: number of jugs of water.Variable t: cases of paper towels.A jug of drinking water weighs 35 pounds and a case of paper towels weighs 25 pounds. The truck can carry 1,600 pounds of cargo altogether. Hence the equation is:
35w + 25t = 1600.
When w = 10, the numeric value of t is obtained as follows:
35(10) + 25t = 1600
t = (1600 - 350)/25
t = 50.
When w = 30, the numeric value of t is obtained as follows:
35(30) + 25t = 1600
t = (1600 - 1050)/25
t = 22.
When t = 8, the numeric value of w is obtained as follows:
35w + 25(8) = 1600
w = 1400/35
w = 40.
More can be learned about a system of equations at https://brainly.com/question/24342899
#SPJ1
plz help ill give 17 points thx
Answer:
1:6 = 7:42
Step-by-step explanation:
Households with net worth in the negative or zero have the highest average credit card debt. Why do you think this is?.
Households with negative or zero net worth may have high credit card debt due to financial distress, using credit to cover everyday expenses, or difficulty managing finances.
Financial distress: Households with negative net worth may be in financial distress and may be relying on credit cards to cover their basic expenses. This can lead to high levels of credit card debt as they continue to use their credit cards to pay for necessities such as food, housing, and utilities.
Financing everyday expenses: Households with zero net worth may also have high levels of credit card debt if they are using their credit cards to finance their everyday expenses. This can happen if they do not have sufficient income to cover their expenses, or if they have high levels of fixed expenses such as mortgage or rent payments.
Difficulty managing finances: Households with negative or zero net worth may also have a harder time managing their finances and may be more prone to making financial mistakes such as missing credit card payments or making late payments. This can lead to higher levels of credit card debt as they incur late fees and interest charges.
To learn more about net worth click below:
https://brainly.com/question/16004568#
#SPJ4
Households with net worth in the negative or zero have the highest average credit card debt due to the lack of other financing options available to them.
The reason why households with net worth in the negative or zero have the highest average credit card debt is likely due to the fact that they have less access to other financing options and thus rely more heavily on credit cards. When a household has no net worth, they are unable to turn to other sources of borrowing such as home equity loans or personal loans, as they have no equity to borrow against. Therefore, they are more likely to use credit cards to cover unexpected expenses or emergency needs. In addition, households with zero or negative net worth may have lower income and less access to savings, causing them to rely heavily on credit cards for daily expenses.
To illustrate this concept, let’s assume that there are two households with different levels of net worth. Household A has a net worth of $10,000 and Household B has a net worth of -$2,000. Both households have monthly expenses of $1,000 and an income of $2,000. Household A has more financial flexibility because they can turn to other sources of borrowing to cover their expenses, such as home equity loans or personal loans. Household B, however, is unable to borrow against their negative net worth and must rely solely on credit cards to cover their monthly expenses. This makes them more likely to accumulate higher levels of credit card debt due to their limited access to other financing options.
Therefore, it is evident that households with net worth in the negative or zero have the highest average credit card debt due to the lack of other financing options available to them.
Learn more about average here:
https://brainly.com/question/24057012
#SPJ4
the population standard deviation for the height of college hockey players is 3.2 inches. if we want to estimate 95% confidence interval for the population mean height of these players with a 0.55 margin of error, how many randomly selected players must be surveyed?
Given,
Population Standard deviation = 3.2 inches
Required confidence interval (C) = 95%
Margin of error = 0.55
Let h be the number of randomly selected players surveyed.
∝ = 1 - C = 1 - 0.95 = 0.05
∝/2 = 1 - C / 2 = 0.05/2 = 0.025
Score of ∝/2 = 2.5 - 0.025 = 2.475
We know,
Margin of error = 0.55
Standard deviation = 3.2
∵ 0.55 = 2.475 x 3.2/ √h
√h = √0.144/1000
∴ h = 12
Know more about Standard Deviation here https://brainly.com/question/12402189
#SPJ4
Which of the following are irrational numbers?
Check all that are true.
loading ...
loading ...
loading ...
loading ...
Answer:
d for sure
Step-by-step explanation:
many automobiles produce about 5 grams of no for each mile they are driven. how many liters of no gas at stp would be produced on a 100-mile trip?
400 liters of NO would be produced on a 100-mile trip.
What is an ideal gas equation?
PV = nRT is the equation for an ideal gas. In this equation, P stands for the ideal gas's pressure, V for the ideal gas' volume, n for the total amount of the ideal gas expressed in moles, R for the universal gas constant, and T for temperature.
Here, we have
molar mass of NO = (14+16) = 30 g/mole
then , 5 g NO = (5/30) = 0.167 moles
total production of NO in 100 miles trip = 100*0.167 = 16.67 moles
The ideal gas equation is
PV = nRT at NTP
pressure (P) = 1 atm, temperature ( T) = 293 K (200c)
number of moles (n) = 16.67
then, we get
V = nRT/P
= 16.67*0.082*293/1
= 400 L
Hence, 400 liters of NO would be produced.
To learn more about the ideal gas equation from the given link
https://brainly.com/question/27870704
#SPJ4
what's the slope for (-1,-6) and (5,-4)
Answer:
1/3 is the slope
Step-by-step explanation:
Use this formula \(\frac{y2 - y1}{x2 - x1}\)
Plug in (-1, -6) and (5, -4)
\(\frac{-4 - -6}{5 - -1} = \frac{2}{6}/2 = \frac{1}{3}\)
Hope this helps ya!!!
a) what is the value of the 8 in the number 24.387?
Gve your answer as a fraction. ???
Answer:8/100
Step-by-step explanation: you would count the placement value of the numbers after the decimal point
an event that increases the probability that a response will be repeated is called _____.
The term that describes an event that increases the likelihood of a response being repeated is known as reinforcement.
Reinforcement can be defined as any consequence that strengthens or increases the probability of a behavior occurring again in the future. This can include positive reinforcement, which involves adding a desirable consequence after a behavior, or negative reinforcement, which involves removing an aversive consequence after a behavior. Both types of reinforcement have been shown to be effective in increasing the likelihood of a behavior being repeated.
Overall, understanding the concept of reinforcement is essential in the field of psychology, particularly in the areas of behaviorism and behavior modification. By providing positive consequences after desired behaviors, individuals can be motivated to continue engaging in those behaviors, which can lead to long-term positive changes. Reinforcement can also be used to shape new behaviors or replace unwanted behaviors with more desirable ones.
To know more about positive changes visit:-
https://brainly.com/question/15411632
#SPJ11
Encrypt the message " MATH " by translating the letters into numbers and then applying the encryption function given, and then translating the numbers back into letters. (a) f(p)=(5p+5)mod26 (b) f(p)=(5p+12)mod26 (c) f(p)=(11p+7)mod26 Use A=0,B=1,C=2,D=3,E=4,F=5,G=6,H=7,I=8,J=9,K=10, L=11,M=12,N=13,O=14,P=15,Q=16,R=17,S=18,T=19,U=20, V=21,W=22,X=23,Y=24,Z=25 (1 point) Encrypt the message " HALT " by translating the letters into numbers (via A=0,B=1,C=2,D=3,E=4,F=5,G=6,H=7,I=8, J=9,K=10,L=11,M=12,N=13,O=14,P=15,Q=16,R=17, S=18,T=19,U=20,V=21,W=22,X=23,Y=24,Z=25 ) and then applying the encryption function given, and then translating the numbers back into letters. (a) f(p)=(p+3)mod26 (b) f(p)=(p+14)mod26 (c) f(p)=(p+7)mod26
The encrypted messages for the given encryption functions are:
(a) "MATH" encrypts to "POWD".
(b) "MATH" encrypts to "AOHU".
(c) "MATH" encrypts to "TPOO".
To encrypt the message "MATH" using the given encryption functions, we first need to translate the letters into numbers based on the given mapping. Using the mapping A=0,B=1,C=2,...,Z=25, the message "MATH" translates to the numbers [12, 0, 19, 7].
(a) Using the encryption function f(p) = (p+3) mod 26:
Applying the function to each number, we get [(12+3) mod 26, (0+3) mod 26, (19+3) mod 26, (7+3) mod 26] = [15, 3, 22, 10].
Translating the resulting numbers back into letters using the mapping, we obtain the encrypted message "POWD".
(b) Using the encryption function f(p) = (p+14) mod 26:
Applying the function to each number, we get [(12+14) mod 26, (0+14) mod 26, (19+14) mod 26, (7+14) mod 26] = [0, 14, 7, 21].
Translating the resulting numbers back into letters using the mapping, we obtain the encrypted message "AOHU".
(c) Using the encryption function f(p) = (p+7) mod 26:
Applying the function to each number, we get [(12+7) mod 26, (0+7) mod 26, (19+7) mod 26, (7+7) mod 26] = [19, 7, 0, 14].
Translating the resulting numbers back into letters using the mapping, we obtain the encrypted message "TPOO".
Therefore, the encrypted messages for the given encryption functions are:
(a) "MATH" encrypts to "POWD".
(b) "MATH" encrypts to "AOHU".
(c) "MATH" encrypts to "TPOO".
to learn more about numbers click here:
brainly.com/question/30752681
#SPJ11
8
1 point
Point B is between A and C on segment AC.
Use the given information to write an equation
in terms of x. Solve the equation. Then find AB
and BC.
Given:
AB
BC
6x
AC = 27
-
= 2x - 5
=
X=
type your answer...
type your answer...
type your answer...
AB=
; BC=
The value of x is 4, AB is 3 and BC is 24 for the given line segment.
What is a line segment?A line section that can connect two places is referred to as a segment.
In other words, a line segment is just part of a big line that is straight and going unlimited in both directions.
The line is here! It extends endlessly in both directions and has no beginning or conclusion.
Given the line, AC consists of AB and BC
So,
AC = AB + BC
Now,
AC = 27 , BC = 6x and AB = 2x - 5
So,
27 = 6x + 2x - 5
27 = 8x - 5
8x = 32
x = 4
Now,
AB = 2(4)- 5 = 3
And
BC = 6(4) = 24
Hence "The value of x is 4, AB is 3 and BC is 24 for the given line segment".
For more about line segment,
https://brainly.com/question/25727583
#SPJ1
Pls help
Zoom in to view
Thanks
Answer:
1. x=6 y=6
2. x=3√2 y=3
3. a=5√2 b = 5
4. u=2 v=√2
5. x=2√2 y=2
6. x=6 y=3√2
Step-by-step explanation:
a right circular cylinder with radius 2 is inscribed in a hemisphere with radius 5 so that its bases are parallel to the base of the hemisphere. what is the height of this cylinder?
Answer:
Step-by-step explanation:
We can use the Pythagorean Theorem to find the height of the cylinder
We have
height = √ [ 5^2 - 2^2 ] = √[25 - 4] = √21 units
Combine like terms: s ⋅ s ⋅ s ⋅ s ⋅ s
What would you get if you combined them?
1. 5s
2. s5
Answer:
s5
Step-by-step explanation:
Answer:
Option 2, assuming that it is \(s^5\).
Step-by-step explanation:
s * s * s * s * s
S gets multiplied by itself 5 times. We can rewrite this expression as one with an exponent. Since 's' is getting multiplied 5 times, the exponent would be 5.
\(\huge\boxed{s^5}\)
The first option would multiply the value of 's' times 5, which is not the same thing as the expression shown.
5s = 5 * s
Option 2 should be the correct answer.
Hope this helps.
I need help finding the midpoint
Answer:
(0,3)
Step-by-step explanation:
This is the middle of the graph.
Have a great day!!
The following frequency distribution provides a certain condition prevalence frequency distribution for 59 regions
The condition prevalence frequency distribution for the 59 regions represents the distribution or pattern of the prevalence of a specific condition or disease across those regions.
In more detail, the condition prevalence frequency distribution provides information on the frequency or occurrence of a particular condition within a given population or set of regions. It presents the number or proportion of individuals within each region who have the specific condition. By examining the distribution, researchers or healthcare professionals can gain insights into the geographic variation of the condition, identify regions with higher or lower prevalence rates, and assess the burden of the condition in different areas.
The distribution allows for the comparison of prevalence rates among the regions and can help in identifying potential risk factors or underlying causes that may contribute to the variation in prevalence. It also serves as a valuable tool for public health planning and resource allocation, as regions with higher prevalence rates may require more targeted interventions or healthcare services. Overall, the condition prevalence frequency distribution provides a comprehensive overview of the distribution and burden of the condition across the 59 regions, aiding in the understanding and management of the health issue at hand.
Learn more about frequency distribution here:
https://brainly.com/question/30369525
#SPJ11
What does the condition prevalence frequency distribution represent for the 59 regions?
Triniti had $500 in a savings account at the
beginning of the summer. She wants to
have at least $200 in the account by the
end of the summer. She withdraws $25
each week for food, clothes, and movie
tickets. How many weeks can Triniti
withdraw money? Write an inequality you
could use to represent this problem.
please hurry
Answer: 12
Step-by-step explanation: by the end of 12 weeks shell have 200 dollars left
can someone pls help with this asap
Answer:
The answer is C
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
both pair of opposite sides are parallelogram, which is the definition of a parallelogram
Venn diagram of b union b
Answer:
let b union b be
B={2,4,6,8} and B= {1,2,3,4,5}
then B union B = {1,2,3,4,5,6,8}
Step-by-step explanation:
Venn diagram of b union b is in the attachment
Hope it is helpful to you
HELP ASAP
Similarity:Question 10 Which rectangle is similar to a rectangle with length 12 cm and a width 20 cm?
Select one:
a rectangle with dimensions 3 cm and 5 cm
a square with perimeter 180 cm
any rectangle with perimeter 180 cm
a rectangle with dimensions 50 cm and 60 cm
Answer:
the answer is a rectangle with dimensions 3cm and 5cm
The price of a sweater is
$
25.50
. If it is discounted
20
%
, what is the price of the sweater?
Answer:
The answer is 5.1 from my calculator but the price should be about 14.62
Step-by-step explanation:
I put it into a calculator
COMPLETION
30°
0%
Work out the value of x.
X
6 cm
3.5 cm
Step-by-step explanation:
first Pythagoras with the right, smaller right-angled triangle. that gives us the height of the total triangle, and the shorter leg of the left, larger right-angled triangle.
c² = a² + b²
c being the Hypotenuse (the side opposite of the 90° angle), a and b are the legs.
6² = 3.5² + height²
36 = 12.25 + height²
height² = 23.75
height = sqrt(23.75) = 4.873397172... cm
now, as mentioned, this height is also the second leg of the left, larger right-angled triangle.
and with a given angle, now trigonometry has to be used.
remember, what sine and cosine are ?
sine of an angle is the vertical (up/down) leg, and cosine is the horizontal (left/right) leg of the right-angled triangle created by the angle and inscribed in the (norm-)circle.
"norm-circle", because the radius is 1.
now, for a larger circumscribing circle (like in our case here), we need to multiply the actual radius by sine and cosine (and all other trigonometric functions).
the radius is the large, top-left side coming from the 30° angle.
we don't know the length yet, but we know the value of sin(30) multiplied by that length, which is the height we just calculated.
so,
sqrt(23.75) = sin(30)×radius
radius = sqrt(23.75)/sin(30)
sin(30) = 0.5 = 1/2
so,
radius = sqrt(23.75)/ 1/2 = sqrt(23.75)×2
x is now the cosine of the angle multiplied by the radius.
x = cos(30)×sqrt(23.75)×2 = 8.440971508... cm
≈ 8.4 cm
Answer:
8.4 cm
Step-by-step explanation:
We can find the altitude of the triangle by the Pythagorean theorem
et h be the altitude
\(h = \sqrt{6^{2} - 3.5^{2}}\\= \sqrt{6^{2} - 3.5^{2}}\\\\= \sqrt{6^{2} - 3.5^{2}}\\\\= \sqrt{23.75}\\= 4.8734\)
In the triangle on the right, notice it is a 30-60-90 right triangle. Such a triangle has the property that the side opposite 30°, ( h) is related t the side opposite 60° (x) by the relationship
x/sin 60 = a /sin 30
sin 60 = √3/2 and sin 30 = 1/2
so x = a/sin 30 x sin 60
x = [a/(1/2) ]x √3/2 = √3a
The vertical leg (4.8734) is related to the horizontal leg (x) by the formula
x = 4.8734 x √3
= 8.4 cm
henry wants to earn at least trimming trees. he charges per hour and pays in equipment fees. what are the possible numbers of hours henry could trim trees?
The possible number of hours Henry could trim trees is t > 10.
The given information represents a scenario which demonstrates an inequality statement as Henry wants to earn at least $ 56, which means the amount earned should be greater than 56.
Let t be the possible number of hours Henry trim trees. As his per hour charge is $6 and he pays $4 in equipment fee, the inequality statement is:
6t – 4 > 56
Solving,
6t > 56 + 4
6t > 60
t > 10.
In order to earn at least $56, Henry must trim trees for at least 10 hours or more.
Note: The question is incomplete. The complete question probably is: Henry wants to earn more than $56 trimming trees. He charges $6 per hour and pays $4 in equipment rental fees. What are the possible number of hours Henry could trim trees?
Learn more about Inequality:
https://brainly.com/question/24372553
#SPJ4