Name two triangles that are congruent by ASA.Choose the correct answer below.(triangle)ABC = (triangle) hpw GHJ(triangle)ABC= (triangle)DEF(triangle)DEF= (triangle)GHJ
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Congruence by ASA (Angle-Side-Angle): Triangles are congruent if any two angles and their included side are equal in the triangles.
For the given triangles:
[tex]\begin{gathered} \Delta ABC\cong\Delta\text{GHJ} \\ \\ \angle B=\angle H \\ \angle C=\angle J \\ BC=HJ \end{gathered}[/tex]Related Questions
PLEASE HELP due soon
Answers
Answer:
8x+35≤ 14<3x
x=0
during spring break a class of 14 children went to walt disney world in florida the price for each child's ticket was &75 while each adult ticket was $85 if the total amount spent on tickets was $1,475 how many adults went on the trip?
Answers
hello
cost of the adult tickets = $85
cost of children ticket = $75
let the number of adults be represented by x
let the number of children be represented by y
total number of children that attended = 14
total number of adults that attended = ?
total amount spent on ticket = $1,475
[tex]\begin{gathered} 85x+75y=1475 \\ y\text{ = 14} \\ \text{let's put y into the equation above} \\ 85x+75(14)=1475 \\ 85x+1050=1475 \\ 85x=1475-1050 \\ 85x=425 \\ \text{divide both sides by 85} \\ \frac{85x}{85}=\frac{425}{85} \\ x=5 \end{gathered}[/tex]only 5 adults went on the trip
Here is the probability model for the blood type of a randomly chosen person in the United States.Blood typeoABABProbability 0.59 0.16 0.1 0.15What is the probability that a randomly chosen American does not have type o blood?% Round to the nearest 0.01%
Answers
The complement of an event E, consists of any outcome in an experiment in which event E does not occur.
For the experiment shownin the table, the event is an American chosen at random having blood type O. Therefore the complement of that event in the experiment is that of an American NOT having blood type O.
Therefore;
[tex]\begin{gathered} P\lbrack blood\text{ type O\rbrack=0.59} \\ P\lbrack\text{not blood type O\rbrack=1-P\lbrack{}blood type O\rbrack} \\ P\lbrack\text{not blood type O\rbrack=1-0.59} \\ P\lbrack\text{not blood type O\rbrack=0.41} \end{gathered}[/tex]Expressed as a percentage, this becomes;
[tex]\begin{gathered} P\lbrack\text{not blood type O\rbrack=0.41 x 100} \\ P\lbrack\text{not blood type O\rbrack=41\%} \end{gathered}[/tex]Question: Four times the difference of half a number and 1 is 20.Can someone please help me the answer choices are in the picture
Answers
We have the following:
[tex]4\cdot(\frac{1}{2}x-1)=20[/tex]The answer is the first option
What is the image of the point (-7,-6) after a rotation of 270° counterclockwise about the origin?
Answers
Take into account that a rotation of 270° counterclockwise around the origin can be defined as follow:
T(x,y) => T'(y,-x)
Then, for the point (-7,-6) you have:
(-7,-6) => (-6,7)
Hence, the image of the point is (-6 , 7)
What is the y-intercept of f(x) =
100-(3) * ?
5
A. (1,0)
B. (0,0)
(¹3)
D. (0, 1)
C.
Answers
Answer:
X intercepts: (100/3,0)
Y intercepts: (0,100)
Gymnosperms and angiosperms are both vascular plants within the Kingdom Plantae.
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Step 1
Angiosperms and gymnosperms are both seed-bearing plants with a few similarities.
Step 2:
The vascular system is common for the both of them, consisting of conjoint and vascular bundles (open and collateral). The ovules of both angiosperms and gymnosperms develop into seeds.
Step 3
a) Angiosperms are flowering plants, and include grasses, herbs, shrubs and most deciduous trees, while (b) gymnosperms are conifers. Both produce seeds but have different reproductive strategies.
Final answer
seeds
What would be the annual percentage yield for a savings account that earned $56 in interest on $800 over the past 365 days?
Answers
Substitute
T
= 56
800 into formula
= 365
|=Prt
56 = 800rt
Solve the equation: 365 x800x = 56
365
X
7
100
7
Convert to percentage: X=100
X
7%
The annual percentage yield (APY) for a savings account that earned $56 in interest on $800 over 365 days is 7%.
The APY (annual percentage yield) is calculated using the formula:
(Interest / Principal)x100
By plugging in the values for interest and principal, we can determine the APY.
Given that,
Principal amount: $800
Interest earned: $56
Time period: 365 days
To calculate the annual percentage yield (APY),
Use the formula:
APY = (Interest / Principal)x100
In this case,
The interest earned = $56
The principal (initial amount) = $800.
Plugging these values into the formula:
APY = (56 / 800)x100
= 0.07x100
= 7%
Hence,
The annual percentage yield for this savings account is 7%.
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Write out step by step what needs to be done in order to get the answer to the expressio
Answers
To get the answer for this expression, we can follow the next steps:
1. Obtain the product of each of the multiplications inside the square bracket:
[tex]5\lbrack9(2)-2(8)\rbrack=5\cdot\lbrack9\cdot(2)-2\cdot(8)\rbrack=5\cdot\lbrack18-16\rbrack[/tex]2.Now, subtract what is inside the right brackets, and then multiply the resulting numbers:
[tex]5\cdot\lbrack2\rbrack=5\cdot2=10[/tex]Therefore, the resulting answer is equal to 10.
how do I find b with the equation y=0.023x + b using the points (0, 11.08) and (1,11.06)
Answers
To find b in the equation y = 0.023x + b, you have to replace with a given point into the equation. For example, point (0, 11.08) means x = 0 when y = 11.08, replacing into the formula:
11.08 = 0.023*0 + b
11.08 = b
The following scatterplot represents the number of negative consumer reviews for a given model of cell phone and the total number of that same cell phone model that were sold. Is it reasonable to predict that if there are 75 negative reviews the number of cell phones sold of that same model will be close to 850,000? Why or why not
Answers
According to the plotted line, we can see that for 75 negative reviews, an approximate number of phones sold is 600,000, that is not close to 850,000. Therefore, it is not reasonable to predict that if there are 75 negative reviews, the number of cell phones sold will be close to 850,000
In the news, you heard tuition is expected to increase from the current per cost $950 to $2,350 over the next ten years. This represents a __% increase from the current Tuition
Answers
ANSWER
[tex]147.37\%[/tex]EXPLANATION
To find the percentage increase in the tuition, we have to find the difference between the new tuition and the old tuition and divide it by the old tuition.
Therefore, we have that:
[tex]\%_{inc}=\frac{N-O}{O}\cdot100[/tex]Therefore, the percentage increase is:
[tex]\begin{gathered} \%_{inc}=\frac{2350-950}{950}\cdot100 \\ \%_{inc}=147.37\% \end{gathered}[/tex]That is the answer.
A student solved a system of equations by elimination. The answer is not correct. Describe the error in the solution.Original Problem:3−2=8+=2Student Work:3−2=82+2=25=10=2
Answers
Let:
[tex]\begin{gathered} 3x-2y=8_{\text{ }}(1) \\ x+y=2_{\text{ }}(2) \end{gathered}[/tex]Multiply (2) by 2:
[tex]2x+2y=4_{\text{ }}(3)[/tex]Add (1) and (3):
[tex]\begin{gathered} 3x+2x-2y+2y=8+4 \\ 5x=12 \\ x=\frac{12}{5} \end{gathered}[/tex]The error is: when the student multiply the equation (2) by 2, he only multiplied the left side of the equation by 2, but he needed to multiply the right side as well.
PLEASE HELP DUE IN 30 MINS and I’ll be giving 25 points to whoever helps me.Thank you
Answers
Answer:
x = 19
Step-by-step explanation:
(4x - 4) and (6x - 6) are a linear pair and sum to 180° , that is
4x - 4 + 6x - 6 = 180
10x - 10 = 180 ( add 10 to both sides )
10x = 190 ( divide both sides by 10 )
x = 19
all you need is in the photo PLEASE ANSWER FAST
Answers
We will investigate the use of Venn diagrams to determine the respective probabilities.
A Algebra 2 class consists of total students ( T ):
[tex]T\text{ = 29 students}[/tex]We will define two sports events ( A ) and ( B ) as follows:
[tex]\begin{gathered} A\text{ : Students who play basketball} \\ B\text{ : Students who play baseball} \end{gathered}[/tex]We will define the respective proportions of students associated with each event using set notations.
[tex]\begin{gathered} A\text{ = 17 , B = 6} \\ p(A)=\frac{17}{29}\text{ , p ( B ) = }\frac{6}{29} \end{gathered}[/tex][tex]A^{\prime}\text{ \& B' = 8 students}[/tex][tex]p\text{ ( A' \& B' ) = }\frac{8}{29}[/tex]We will construct a venn Diagram to grasp the entire distribution of events in the Algebra class:
From the above venn diagram and using the law of probabilities i.e all probabilities concerning a universal set must add up to 1.
[tex]\text{Sum of all probabilities = 1}[/tex][tex]p\text{ ( A ) + p ( B ) - p ( A \& B ) + p ( A' \& B' ) = 1}[/tex]We will use the above universal law of probabilities to determine the probability that a randomly chosen student from the class plays both basketball and baseball ( A & B ):
[tex]\begin{gathered} \frac{17}{29}\text{ + }\frac{6}{29}\text{ + }\frac{8}{29}\text{ - 1 = p ( A \& B )} \\ \\ \text{p ( A \& B ) = }\frac{31}{29}\text{ - 1} \\ \\ \text{p ( A \& B ) = }\frac{31\text{ - 29}}{29}\text{ = }\frac{2}{29} \\ \\ \text{p ( A \& B ) = }\frac{2}{29}\text{ = 0.069 }\ldots\text{ Answer} \end{gathered}[/tex]Desmond bets his buddy Calvin that he can calculate the height of the Cullison Monumentwithout googling it to find out. At 1:30 PM, Desmond measures the monument's shadow(22.5 feet) and Calvin's shadow (3.5 feet). If Calvin is 6.25 feet tall, use similar triangles toestimate the height of the monument.
Answers
Step 1
At 1:30 pm
Monument's shadow= 22.5 feet
Calvin's shadow =3.5 feet
Calvin is 6.25 feet tall
a) for the monument
shadow= adjacent side=22.5 ft
hypotenuse= unknow=h1
height of the monument = opposite side= y1
b) for Calvin
shadow= adjacent side=3.5 ft
hypotenuse= unknow=h2
height of the Calvin = opposite side= 6.25
Step 2
those triangles are similar, so the ratio between the shadow and the height must be constant, so
[tex]undefined[/tex]Determine the intervals where the function f(x)=x^3-6x^2 is increasing and decreasing. Also determine the local maximum and minimum values for the function. Sketch a graph of the function showing these maximum and minimum points on your graph.
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For the function f(x) = x³ - 6x², we have that:
The function is increasing on these following intervals: (-∞, 0) U (4, ∞).The function is decreasing on the interval (0,4).The local maximum value for the function is at point (0,0).The local minimum value for the function is at point (-4,32).When a function is increasing and when it is decreasing, looking at it's graph?Considering the graph of the function, it is increasing when it is "moving northeast", that is, to the right and up on the graph, meaning that when x increases, y increases.Then, it is decreasing when it is "moving southeast", that is, to the right and down the graph, meaning that when x increases, y decreases.In the context of this function, we have that it is increasing to the left of x = 0 and to the right of x = 4, hence the interval is given by:
(-∞, 0) U (4, ∞).
On the remaining interval, that is, (0,4), the function is decreasing.
The critical points are given as follows:
At x = 0, the function changes from increasing to decreasing, hence there is a local maximum at point (0,0).At x = 4, the function changes from decreasing to increasing, hence there is a local minimum at point (4,32).More can be learned about functions at https://brainly.com/question/24808124
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Line LM is the midsegment of trapezoid ABCD. If AB = 46 and DC = 125, what is LM?thank you ! :)
Answers
ANSWER
[tex]LM=85.5[/tex]EXPLANATION
The length of the midsegment of a trapezoid is equal to half the sum of the lengths of the two bases of the trapezoid.
This implies that:
[tex]LM=\frac{1}{2}(AB+DC)[/tex]Therefore, the length of LM is:
[tex]\begin{gathered} LM=\frac{1}{2}(46+125)=\frac{1}{2}*171 \\ LM=85.5 \end{gathered}[/tex]That is the answer.
Which statement is true about the values x=1.5 and y=-1.5?
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GIVEN:
We are told that two equations were plotted on the coordinate grid, and these are;
[tex]\begin{gathered} -2y+6x=12---(1) \\ \\ 4x+12y=-12---(2) \end{gathered}[/tex]The graphs intersect at the point;
[tex](1.5,-1.5)[/tex]Required;
Select which statement is true about the values of x and y.
Step-by-step solution;
We will begin by plotting both lines on a graph page as follows;
The graph above clearly shows that the point of intersection (1.5, -1.5) is the ONLY solution that satisfies both linear equations.
Therefore,
ANSWER:
They are the only values that make both equations true.
The correct answer is option A.
Find the missing value in the ratio table
Answers
Here are the completed tables:
Coffee (ounces) 4 8 12 16
Cream (ounces) 3/8 3/32 1 1/8 1 1/2
Yards 4 8.7 13.6 25
Seconds 6.4 10 15.6 40
What are the missing values?Ratio is a concept that is used in mathematics to compare two or more numbers together. It shows the relationship between two or more numbers. Increase in the value of numbers that ratios to each other increase at a proportional rate.
The first step is to determine the amount of cream that is needed for 1 coffee = 3/8 ÷ 4
= 3/8 x 1/4 = 3/32
Amount of cream needed for 8 coffees = 3/32 x 8 = 3/4
Amount of cream needed for 16 coffees = 3/32 x 16 = 1 1/2
Now determine how much coffee is needed for 1 ounces of cream
4 ÷ 3/8
= 4 x 8/3 = 10 2/3
Amount of coffee needed for 1 1/8 ounces of cream = 10 2/3 x 1 1/8
32 / 3 x 9/8 = 12
Determine how many seconds is in 1 yard : 6.4 / 4 = 1.6
Seconds in 25 yards = 1.6 x 25 = 40
Determine how many yard is in 1 second : 4 / 4.6
Yards in 10 seconds = 4/4.6 x 10 = 8.7
Yards in 15.6 seconds = 4 / 4.6 x 15.6 = 13.6
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A student argued that a pizza cut into 12 pieces was more than a pizza cut into 6 pieces. How would you respond?
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I would respond with a vehement disagreement because using the division operation, the more the divisor, the less the quotient.
What is a division operation?A division operation is one of the four basic mathematical operations.
The division operation breaks a number or object into many parts. The number to be divided is known as the dividend.
The dividing number or parts are called the divisor while the quotient is the result of the division operation.
For instance, when 144 is divided by 12, the result is 12. When the same number is divided by 6, the result is 24. From this, we can determine the division operation that yields more value.
Thus, a pizza cut into 12 pieces does not yield more than a pizza cut into (divided) 6 pieces.
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Write an inequality and solve it. Rebecca bought one goldfish for $32. She spends the rest of her money on guppy fish. She starts with $80. Each guppy costs $6. Write an inequality for the number of guppies she can purchase. Part A: Write an inequality to represent the situation. Use g for the variable.
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According to the information given in the statement you have
[tex]32+6g\le80[/tex]Where g is the number of guppy fish that Rebecca can purchase.
Now, solving the inequation you have
[tex]\begin{gathered} 32+6g\le80 \\ \text{ Subtract }32\text{ from both sides of the inequality} \\ 32+6g-32\le80-32 \\ 6g\le48 \\ \text{ Divide }by\text{ 6 on both sides of the inequality} \\ \frac{6g}{6}\le\frac{48}{6} \\ g\le6 \end{gathered}[/tex]Therefore, Rebecca can purchase 6 guppy fish.
Estimating fractions sums
Answers
We are given the following sum of fractions
[tex]\frac{3}{7}-\frac{1}{5}[/tex]We are asked to round off each term to 0, 1/2, or 1.
Notice that the term 3/7 (0.43 in decimal) is closest to 1/5 (0.50 in decimal), so we will round off 3/7 to 1/2
The term 1/5 (0.20 in decimal) is closest to 0, so we will 1/5 to 0.
So, the fractions become
[tex]\frac{1}{2}-0=\frac{1}{2}[/tex]Therefore, the estimated sum of fractions is 1/2
A street built in the city must be 25 feet in width with a tolerance of 0.5 feet. Streets that are not within tolerated widths must be repaired.
Which of the following absolute value inequalities can be used to determine which streets are within tolerance? Let W be the width of the
street.
Answers
The absolute value inequalities can be used to determine which streets are within tolerance would be; |W - 32| ≥ 0.5
What is a solution set to an inequality or an equation?If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solutions to that equation or inequality.
We have been given that a street built in the city must be 25 feet in width with a tolerance of 0.5 feet.
Let's consider that W is the width of the street.
Then the absolute value inequalities would be;
|W - 32| ≥ 0.5
Hence, absolute value inequalities can be used to determine which streets are within tolerance would be; |W - 32| ≥ 0.5
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25% of _________________________is 6.
Answers
Answer:
24
Step-by-step explanation:
25/100 = 6/x
when you use the butterfly method or cross multiply you get: 25x = 600
25x/25 is just x
600/25= 24
so x=24 and it is 24
hope this helps!!!
In this example, the rapper wants to divide a recipe in half to make a cake for 5 people instead of 10. Explain why he multiplies the first ingredient, ⅔ of a cup sugar, by ½.
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The rapper multiplies the first ingredient, ⅔ of a cup of sugar, by ½ because as he wants to get the cups of sugar required for five people instead of ten, he can use the inverse of division, which is multiplication.
What is multiplication?Multiplication is one of the mathematical operations.
Multiplication uses the multiplicand and multiplier to compute the product, which is also described as the result of the multiplication operation.
The quantity of sugar required for 10 = ⅔
The quantity of sugar required for 5 = ⅔ ÷ 2
⅔ ÷ 2 = ⅔ x ½
= ¹/₃
Thus, by multiplying ⅔ by ½, the rapper gets the cups of sugar required for 5 people instead of 10 as ¹/₃ cups through the division inverse.
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Each event uses a standard deck of playing cards. The cards are chosen at random and put back after each draw. Match each event with itstheoretical probability.You choose a red card.You choose the queen of hearts.You choose a club.You choose a 5, 6, or 7.choices - 1/4, 1/52, 1/2, 3/13
Answers
Explanation:
There are 26 red cards in a pack of playing cards.
So,
Probability of picking a red card =Number of red cards/Total number of cards
We plug in what we know
[tex]\begin{gathered} =\text{ }\frac{26}{52} \\ =\frac{1}{2} \end{gathered}[/tex]Therefore, the probability of picking a red card is 1/2.
There is only one Queen of hearts in a deck of cards. So,
Probability of picking a Queen of hearts = Number of Queen of Hearts/ Total number of cards
[tex]=\frac{1}{52}[/tex]Therefore, the probability of picking a
Queen of hearts is 1/52.
There are 13 cards that are clubs. So,
Probability of picking a club = Number of Clubs/ Total number of cards
[tex]\begin{gathered} =\text{ }\frac{13}{52} \\ =\frac{1}{4} \end{gathered}[/tex]Therefore, the probability of picking a club is 1/4.
There are 4 cards that are 5, 6, and 7. This gives a total of 12 cards. So,
The probability of picking 5,6, or 7 = 12/52 = 3/13
Therefore, the probability of picking 5,6, or 7 is 3/13.
A tractor trailer contains a cab for the driver and the trailer for the cargo. Suppose the weight of the cab is 7,600 pounds, and the weight of the trailer is 10,800 pounds. The trailer is carrying palettes for a shipment where each palette is 1,200 pounds. What is the total weight of the tractor trailer when there are 31 palettes in the trailer?
Answers
The total weight of the trailer is 55,600 pounds including the cab, trailer and the palettes
Weight of the cab = 7600 pounds
Weight of the trailer = 10,800 pounds
Weight of each palette carried by trailer = 1200 pounds
Weight: Weight is the result of multiplying the mass by the acceleration that is acting on it. Usually, it's the mass of the object times the acceleration brought on by gravity.
So, total weight of 31 palettes = 1200*31 = 37200 pounds
Total weight of the tractor = Weight of the cab + Weight of the trailer + Weight of 31 palettes
= 7600 + 10,800 + 37,200
= 55,600 pounds
So, total weight = 55,600
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Determine the value(s) of θ (between 0 and 2π) where tan(θ)=1.θ=Determine the value(s) of θ (between 0 and 2π) where tan(θ)=−1.θ=
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Solve for y.Simplify your answer as much as possible 6y+34+3y=7
Answers
To solve the given equation for y, first, we add like terms:
[tex]\begin{gathered} 6y+34+3y=7, \\ 9y+34=7. \end{gathered}[/tex]Subtracting 34 from the equation, we get:
[tex]\begin{gathered} 9y+34-34=7-34, \\ 9y=-27. \end{gathered}[/tex]Finally, dividing by 9, we get:
[tex]\begin{gathered} \frac{9y}{9}=-\frac{27}{9}, \\ y=-3. \end{gathered}[/tex]Answer: [tex]y=-3.[/tex]