No. The corresponding pairs of sides must also be marked congruent to determine that the triangles are congruent.
What is triangle?A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.
here, we have,
Explanation:
The arc markings tell us how the angles pair up, and which pairs are congruent. Eg: The double-arc angles are the same measure.
Despite knowing that all three pairs of angles are congruent, we don't have enough information to conclude the triangles are congruent overall. We can say they are similar triangles (due to the AA similarity theorem), but we can't say they are congruent or not. We would need to know if at least one pair of sides were congruent, so that we could prove the triangles congruent.
The list of congruent theorems is
SSS
ASA
AAS (or SAA)
SAS
HL
LL
Much of these involve an "S", to indicate "side" (more specifically "pair of sides). Both HL and LL involve sides as well. They are special theorems dealing with right triangles only.
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In the UK, 289 litres per person is used each day whereas in Papa New Guinea 44 litres of water is used.
Calculate the percentage change of water consumption in the UK and Papa New Guinea.
Give your answer to 2 decimal places.
Each person uses about 142 litres of water each day. The average household uses 349 litres of water each day1.
How much water does the UK use?The overall amount of water used in the UK is thought to be roughly 14 billion litres each day. 3.17 billion litres of water per day are wasted owing to leaks out of this total. Water consumption needs to be at least 2-2.5 litres per person every day.
However, just a small portion of the water consumed in the UK is for drinking. The average UK resident uses 142 litres of water per day at home, while a household of four uses about 349 litres daily.
In some areas of the UK, this number climbed by 25% during the COVID-19 lockdown, reaching almost 175 litres of water per person per day. 142 litres is 9.5 times more than the amount of water a person in urban Ethiopia uses each day.
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Which inequality is true?
A number line going from negative 3 to positive 3 in increments of 1.
One-fourth less-than negative 1 and StartFraction 2 Over 4 EndFraction
Negative 2 and three-fourths less-than negative 1 and one-half
Negative 2 and one-fourth greater-than negative 1 and one-fourth
Negative three-fourths greater-than 1 and three-fourths
The inequality is true.
Inequality is one that leads to unequal or biased outcomes and is an unjust distribution of resources and opportunities. It leads to an increased resolution of the opportunities and resources. Has a socio and political-economic structure.
Thus the answer is 3 to +3 in increments of 1 5/6 to -1/3 21/3 >21/6.
The inequality makes the comparisons between no. or the expressions in the terms of greater or less depending on how numbers are arranged on the number line.
A number line that is going from the negative 3 to positive 3 and is in increasing order.
The second one shows the positive value of 5/6 towards decreasing and a negative value of the -1/3 hence is also correct The third one depicts the 2 and one-third greater than 2 and one half.
Hence the option 1, 2, and 3 are true.
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Primo car rental agency charges $21 per day plus $0.30 per mile. Ultimo car rental agency charges $22 per day plus $0.65 per mile. Find the daily mileage for which the Ultimo charge is twice the Primo charge.
The daily mileage for which the Ultimo charge is twice the Primo charge is 40.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
Primo charges = $21 per day plus 0.30 per mile.
Ultimo charges = $22 per day plus $0.65 per mile.
let x equal the number of miles.
Ultimo Charge = twice Primo Charge
22 + 0.65x = 2(21 + 0.3x)
22 + 0.65x = 42 + 0.60x
42- 22 = 0.65x - 0.60x
20 = 0.5x
x= 20/0.5
x= 40
Hence, the daily mileage is 40.
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70 POINTS TRIANGLE THEOREMS Solve problem 7 & 8 for finding angle A please and show work
Answer:
I got 34 for number 8
Step-by-step explanation:
I'm not sure what number 7 is but hope this helped
(the work on top is where I started on 7)
Which number should be placed in the spot presently filled with the x?item abc-level , 1, 2, 3, 4gross requirements, 40, 65, 35, 10schedule receipts,0, 60,0,0projected on hand inventory, 70, 30, 25, 20, 10net requirements,0,0,0,0planned order releases, x,q = 30; lt = 2; ss = 10?
The number which should be placed in the spot presently filled with the x is sixty.
Planned order release is the process by which orders are planned but not shipped. It's always changing according to your needs. This is called future forecast receipt based on planned orders. A planned sales order is the process of receiving goods at a specific point in time. We have,
Gross requitrement for week 3 = 65
Schedule recepit for third week= 0
Safty stock value , SS = 10
Quantity = 30
lead time = 2
Project on hand inventory for second week = 25
Project inventory for third week = 20
we have to determine the value of x.
Planed order release for week 1 = project on hand inventory for week 3 + ( Gross requitrement for week 3 - Project on hand inventory for second week) or B18 - SS
=> x = 20 + ( 65 - 25) = 60
Hence, the value of x is 60 .
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the manager of a six-screen movie theater was analyzing the ticket-sales data for monday through friday of the past week. there were 500 tickets sold on wednesday. she noticed that there were more tickets sold on wednesday than on monday and tuesday combined. on thursday, and again on friday, more than twice as many tickets were sold as were sold on wednesday. which bar graph could represent the ticket sales?
Wednesday is taller than Monday or Tuesday according to graph. Thursday and Friday were more than double Wednesday.
What is graph?
In mathematics, a graph is a visual representation or diagram that shows facts or values in an ordered way. The relationships between two or more items are frequently represented by the points on a graph. To make a graph, one must create a diagram that depicts the relationship between two or more objects. Either by hand or by computer, the plot can be depicted. Plotter devices that were mechanical or electrical have been employed in the past.
Graph A: Monday + Tuesday looks like they could add to Wednesday. Further Thursday and Friday are both more than Wednesday. Graph A is you answer.
Graph B: Thursday does not look like double Wednesday. B is not the answer.
Graph C:: Monday and Tuesday exceeded Wednesday. Graph C is not right.
Graph D: Just wrong. Thursday and Friday and not double Wednesday.
Humans can quickly understand relationships between variables that may not have been apparent from lists of values by using graphs, which are a visual representation of the relationship between variables.
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How much more would a person pay for a 4 T shirt at T shirt connection than at Al’s T shirts shops?
1.49
5.96
20.47
22.97
Answer: 5.96
Step-by-step explanation: the bottom two are too much and the first is by far too less
Solve the system of equations using elimination.
−2x + 3y = 13
x + y = 11
(−5, 1)
(−3, 3)
(3, 8)
(4, 7)
Answer:
(4,7)
Step-by-step explanation:
-2x + 3y = 13
-3(x + y = 11)
take the whole bottom equation and multiply by -3 to eliminate the 3y
-2x + 3y = 13
-3x -3y = -33
cancel out 3y
-2x = 13
-3x = -33
add -2 to -3 and 13 to -33
to get -5x = -20
divide -5 on both sides
x = 4
then you can do the exact same steps to find the y coordinates, but if x is 4 then the coordinate point is (4,7)
destiny collects 90 bottles to recycle 27 of the bottles are plastic and the rest are glass what percent of the bottles are plastic
Answer:
30%
Step-by-step explanation:
if 27 of the bottles are plastic then 63 are glass
the question becomes, "27 is what percent of 90"
let 'p' = percent that are plastic
we can use 'if/of equals percent/100'
27/90 = p/100
the above is a proportion and we can solve by
cross-multiplying to get
90p = 2700
p = 2700/90 or 270/9
which is 30%
y[tex]y\leq -\frac{1}{3} x+3 \\y\geq 3x+2[/tex]
The common region between both inequalities shows the possible solution sets.
What is inequality? Differentiate between equation and expression? inequality : An inequality is used to make unequal comparisons between two expressions or numbers.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is the system of inequality as -
y ≤ (- 1/3)x + 3
y ≥ 3x + 2
Refer to the graph of the inequalities attached. The common region to both the inequalities represent the possible solution sets.
Therefore, the common region between both inequalities shows the possible solution sets.
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Algebra 1 whats number 16
Answer: A positive 18
hope this helps any
Answer:
Step-by-step explanation:
z^2 = 1
3 *1 = 3
PLUG IN:
3((-1)^2)-(3*-5)
3-(-15)
3+15= 18
The answer is A
Please help!! I’ll give brianliest!
Answer:
4/19
Step-by-step explanation:
Jar a: 3/8
Jar b: 1/11
8+11 = 19
3+1= 4
4/19
Which box-and-whisker plot represents this data: 6, 7, 9, 9, 20, 22, 26, 28, 29, 30?
Median = 22, Lower Quartile = 9, Upper Quartile = 28,
Interquartile Range = 19, Lower Whisker = 6 , Upper Whisker = 30
Step 1: First, arrange the data in numerical order:
6, 7, 9, 9, 20, 22, 26, 28, 29, 30
Step 2: Calculate the median (middle value):
Median = 22
Step 3: Calculate the lower quartile (Q1):
Q1 = 9
Step 4: Calculate the upper quartile (Q3):
Q3 = 28
Step 5: Calculate the lower whisker (lowest value):
Lower whisker = 6
Step 6: Calculate the upper whisker (highest value):
Upper whisker = 30
Step 7: Plot the data points:
6, 7, 9, 9, 20, 22, 26, 28, 29, 30
Step 8: Draw the boxplot:
The boxplot should have a box with the lower whisker at 6, the lower quartile (Q1) at 9, the median at 22, the upper quartile (Q3) at 28, and the upper whisker at 30.
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For one batch of cookies, the ratio of ounces of butter to ounces of flour is 2 to 3.
Drag the numbers into the table to show how many ounces of butter and ounces of flour are needed for different numbers of batches.
Note that for 3 batches 6 ounces of butter and 9 ounces of flour are needed for 5 batches 10 ounces of butter and 15 ounces of flour are required. This is a ratio and proportion exercise.
What are ratios and proportions?A ratio is an ordered pair of integers a and b, denoted by the symbol a / b, where b does not equal zero. A proportion is an equation that sets two ratios equal to each other.
Where the ratio of ounces of butter to ounces of flour for one batch of cookies is 2 to 3. The butter and flour quantities will be determined as follows:
3 batches = 2 Butter : 3 Flour = 6 Butter : 9 Flour
5 batches = 2 Butter : 3 Flour = 10 Butter : 15 Flour
Thus, for 3 batches 6 ounces of butter and 9 ounces of flour are required for 5 batches 10 ounces of butter and 15 ounces of flour are required.
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Answer:
For 3 Batches, 6 butter & 9 flour
For 5 Batches, 10 butter & 15 flour
Step-by-step explanation:
1 Batch = 2:3
So, whatever we times up by in batches we can do the same to the ingredients.
1 batch = 2:3
multiply 3
3 batches = 6:9
and so on…
What is the inverse of log?
The inverse of the log is exponential.
Exponential FunctionAn exponential function is a mathematical function with the formula f (x) = ax, where x is a variable and an is a constant that serves as the function's basis and must be greater than 0. The transcendental number e, or roughly 2.71828, is the most often used exponential function basis.
Steps to Find the Inverse of a LogarithmSTEP 1: Replace the function notation f(x) by y
f(x) -> y
STEP 2: Switch the roles of x and y.
x -> y
y -> x
STEP 3: Isolate the log expression on one side (left or right) of the equation.
STEP 4: Convert or transform the log equation into its equivalent exponential equation.
Notice that the subscript b in the log form becomes the base with an exponent N in exponential form.
The variable M stays in the same place.
STEP 5: Solve the exponential equation for y to get the inverse. Then replace y by [tex]f^{-1}(x)[/tex] is the inverse notation to write the final answer.
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Kylie drove 318 miles in 6 hours. On average, how fast did she drive, in miles per hour?
Answer:
Step-by-step explanation:
you divide 318 by 6 so she drove 53 miles per hour
Answer:
53 miles per hour.
Step-by-step explanation:
That is the answer because to find the answer you need to divide. And when you divide 318 and 6, you get 53.
an envelope contains bills in dollar amounts: ones, fives, tens and twenties. krishna draws two bills at random without replacement. what is the probability that the sum of the bills he draws is at least ?
The probability that the sum of the bills drawn by Krishna is at least 30$ is 10 / 12 = 5 / 6.
To calculate the probability that the sum of the bills drawn by Krishna is at least 30$, we need to know the total number of possible outcomes when drawing two bills at random without replacement and the number of outcomes that result in a sum of at least 30$.
There are 4 types of bills: ones, fives, tens and twenties. If we draw two bills at random without replacement, there are a total of 4*3 = 12 possible outcomes.
To find the number of outcomes that result in a sum of at least 30$, we need to find the number of outcomes where at least one bill is a twenty and the other bill is a ten or five.
There is 1 outcome where both bills are twenties.
There are 3 outcomes where one bill is a twenty and the other bill is a ten.
There are 6 outcomes where one bill is a twenty and the other bill is a five.
So, the total number of outcomes that result in a sum of at least 30$ is 1+ 1 + 3 + 6 = 10.
Therefore, the probability that the sum of the bills drawn by Krishna is at least 30$ is 10 / 12 = 5 / 6.
It's worth mentioning that if you want to know the probability that the sum of the bills drawn is exactly $30, you would have to find the outcomes that result in a sum of exactly 30$, which in this case is only one outcome.
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A rectangle is 10.8 meters wide and has an area of 181.44 square meters. What is the length of the rectangle?
The length of the above given rectangle is 16.8m.
Explain the shape rectangle?An enclosed 2-D form called a rectangle has four sides, four corners, and four right angles (90°). A rectangle has equal and parallel opposing sides. A rectangle has two dimensions—length and width—because it is a two-dimensional form.A rectangle is a quadrilateral with four right angles in the Euclidean plane. It may alternatively be described as a parallelogram with a right angle or an equiangular quadrilateral, where equiangular denotes that all of its angles are equal. A square is a rectangle with four equally long sides.Rectangle's surface area. A = l × b. Once the length and breadth of a rectangle are known, its area may be computed. The area of the rectangle may be calculated as a square unit by multiplying the length and width.Given data :
area of square = 181.44 m
rectangle wide = 10.8 m
Length of the rectangle = ?
Length of the rectangle = 10.8 x _____ = 181.44
= 181.44 / 10.8 = 16.8m
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What are the four rules of maths?
Addition, subtraction, multiplication, and division are the four fundamental mathematical operations.
Even the most complex mathematical theories use addition, subtraction, multiplication, and division. So one of the keys to developing a grasp of math, and particularly algebra, is to master them. These (and other) procedures are now easily performed thanks to electronic calculators, but these tools can also lead to a dependence that makes truly understanding mathematics challenging. Calculators can be useful for double-checking answers, but if you rely on one too much, you risk missing out on the kind of challenging mental exercises that can improve your ability to not just do math but also grasp what you are doing completely.
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A race car drove around a circular track that was 0.3 mile. If 1 mile = 5,280 feet, what is the radius of the track, in feet? Use π = 3.14 and round to the nearest hundredth.
504.46 feet
252.23 feet
160.66 feet
80.34 feet
The radius of the circular track is 252.23 feet
What is an equation?An equation shows the relationship between numbers and variables in an expression.
The circumference of a circular object is length of the complete arc of the object. It is given as:
Circumference = 2π * radius
A race car drove around a circular track that was 0.3 mile. If 1 mile = 5,280 feet:
0.3 mile = 0.3 miles * 5280 feet per mile = 1584 mile
Let r be the radius of the track, hence:
1584 = 2πr
r = 1584/2π
r = 252.23 feet
The radius is 252.23 feet
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Answer: 252.23 feet
The first person to answer was correct!
Step-by-step explanation:
I took the quiz so you don't have to! <3
PLS DO NUMBER 6 WILL MARK BRAINLY AND ALSO GIVE AN ADDITIONAL 100 PTS IF CORRECT PLS HURRY. THANK YOU
Answer: A
Step-by-step explanation:
Answer:
Step-by-step explanation:
A
What is the value of log 7 to the base 49?
The value of log_49 7 is approximately 0.1845. The value of log_49 7 can be calculated by dividing the logarithm of 7 by the logarithm of 49.
log_49 7 = log(7) / log(49) = 0.1845
The value of log_49 7 can be calculated by dividing the logarithm of 7 by the logarithm of 49. When this calculation is performed, the result is approximately 0.1845. This calculation can be used to determine the logarithmic value of a number to a given base. In this case, the base is 49 and the number is 7. This means that the logarithmic value of 7 to the base 49 is approximately 0.1845.
The value of log_49 7 is approximately 0.1845. The value of log_49 7 can be calculated by dividing the logarithm of 7 by the logarithm of 49.
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what are the domain and range of y=|x-4|
The domain of the function exists [tex]$(-\infty, \infty)$[/tex] range be [tex]$[0, \infty]$[/tex].
What is meant by domain and range of a function?The components of a function are its Domain and Range. In contrast to a function's range, which is the set of all potential outputs, a function's domain is the set of all possible inputs.
All x-values, or inputs, and all y-values, or outputs, make up a function's domain and range, respectively. When viewing a graph, the domain consists of all of the graph's values from left to right. The graph's entire range, from the bottom to the top, is the range.
By listing all of the values in the column that corresponds to the input values on a mapping diagram, the domain of the function may be identified.
In general, the domain of any polynomial is [tex]$(-\infty, \infty)$[/tex].
The range of a positive polynomial [tex]$y=x^a$[/tex] where a is even is [tex]$[0, \infty]$[/tex].
Therefore, the domain exists [tex]$(-\infty, \infty)$[/tex]
Range exists [tex]$[0, \infty]$[/tex].
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The value of n is both 5 times as the value of m and 36 more than the value than value of m. What are the values of n and m?Explain.
The values of n and m in the expression are 45 and 9 respectively.
How to find the values of variables in equations?The value of n is both 5 times as the value of m and 36 more than the value than value of m. Therefore, the values of n and m can be found as follows:
Using equations,
n = 5m
n = 36 + m
By substitution,
5m = 36 + m
5m - m = 36
4m = 36
divide both sides by 4
m = 36 / 4
m = 9
Let's find the value of n.
n = 5(9)
n = 45
Therefore,
n = 45 and m = 9
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HURRY Match the information on the left with the appropriate equation on the right. Ccrg
Answer:
y=3x-10 (perpendicular)
y=-3x+9 (parallel)
Step-by-step explanation:
perpendicular means that the slope is opposite, the opposite of -1/3x is 3x
to find the y intercept, you plug in the points into the equation
2=3(-4)+b
2=-12+b
-10=b
y=3x-10
parallel means that the slope is the same
you do the same thing as before
3=-3(2)+b
3=-6+b
9=b
y=-3x+9
What is not a algebraic expression?
By contrast, transcendental numbers like π and e are not algebraic expression.
What is algebraic expression ?
An expression or algebraic expression is any mathematical statement which consists of numbers, variables and an arithmetic operation between them.
Not algebraic expression ,
An equation that is not an algebraic expression would be something like "x + 2 = 5" because it contains an equal sign and represents a statement of equality rather than a mathematical combination of variables and numbers.
since they are not derived from integer constants and algebraic operations.
By contrast, transcendental numbers like π and e are not algebraic expression.
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2₁/₂ ÷1₇/₈
If you dont understand the question I mean 2 whole number 1 out of 2 divided by 1 whole number 7 out of 8
The solution of the mixed fraction will be 4 / 3.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the expression of the mixed fraction is 2¹/₂÷1⁷/₈. The expression will be solved as,
E = 2¹/₂÷1⁷/₈
E = ( 5 / 2 ) ÷ ( 15 / 8 )
E = ( 5 / 2 ) x ( 8 / 15 )
E = 4 / 3
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8 a 1000 meters make up 1 km. what is the decimal number for 356 meters? what is the lowest fractional form of this decimal number? decimal number: in lowest fractional form:
Answer:
45
Step-by-step explanation:
45
PLEASE HELP ASAP!!!!
Answer:
-1/2 5/4
-3/4 11/4
Step-by-step explanation:
Answer: the green box is 1.25
the left gray box is -0.75
the right gray box is 2.75
Step-by-step explanation:
In trapezoid ABCD, the parallel sides AB and CD have lengths 8 and 20 units. The height of the trapezoid is 12 units. Points E and F are midpoints of sides AD and BC, respectively. What is the area of quadrilateral EFCD in square units.
The area of the quadrilateral EFCD is 102 sq. units.
What is a trapezoid?A quadrilateral with at least one pair of parallel sides is called a trapezoid.
Given that, In trapezoid ABCD, the parallel sides AB and CD have lengths 8 and 20 units. The height of the trapezoid is 12 units. Points E and F are midpoints of sides AD and BC, respectively.
We know that, A trapezoid midsegment is parallel to the set of parallel lines in a trapezoid and is equal to the average of the lengths of the bases.
Length of EF = AB + DC / 2 = 28/2 = 14 units.
Since, EF is the midsegment therefore, height of the quadrilateral EFCD = 12/2 = 6 units.
Area of the quadrilateral EFCD = (14 + 20 / 2) x 6 = 102 sq. units.
Hence, the area of the quadrilateral EFCD is 102 sq. units.
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