Answers
1a) The additional information required using SAS Congruency postulate is; ∠AOB ≅ ∠BOD
1b) The additional information required using ASA Congruency postulate is BC ≅ QR
2a) The symbolic form of the congruent triangles is written as;
ΔABC ≅ ΔADC
2b) The congruence rule used is SAS Congruency postulate.
How to use congruency postulates?1a) We want to prove that the triangles are congruent by SAS Congruency postulate. SAS congruency postulate means Side - Angle - Side. Thus, the additional information is;
∠AOB ≅ ∠BOD
1b) We want to prove that triangle ABC is congruent to triangle PQR by ASA Congruency. We have that;
∠Q = ∠B and ∠R = ∠C. Thus;
The additional information is BC ≅ QR
2a) The symbolic form of the congruent triangles is written as;
ΔABC ≅ ΔADC
2b) The congruence rule used here is SAS Congruency postulate.
Read more about Congruency Postulates at; https://brainly.com/question/28039171
#SPJ1
Related Questions
The presense of a midpoint will result in what type of segments?
Answers
The presense of a midpoint will result in congruent segments.
What are congruent segments?Congruent segments are just equal-length line segments. Congruent means similar. Congruent line segments are typically represented by drawing the same number of little tic lines perpendicular to the segments in the middle of the segments.
A congruent line segment is any line segment with equal measure. Congruent line segments, for example, are the sides of an equilateral triangle since they all have the same length.
When we insert a midpoint to a line segment, it divides the line into two equal portions. Because equal segments are congruent, we can say that congruent segments are generated.
Learn more about segment on:
https://brainly.com/question/24434623
#SPJ1
a researcher counts the number of students who agree, disagree, or are indifferent concerning a recent school policy change. what are the degrees of freedom for this chi-square goodness-of-fit test?
Answers
The number of degrees of freedom for the chi-square goodness-of-fit test is of:
2.
How to obtain the number of degrees of freedom for a chi-square test?The number of degrees of freedom for a chi-square goodness-of-fit test is obtained according to the multiplication presented as follows;
df = (r - 1) x (c - 1).
In which the variables are listed as follows:
r is the number of rows from the table.c is the number of columns from the table.The table in this problem has three rows, given as follows:
Students who agree with the recent school policy change.Students who disagree with the recent school policy change.Students who are indifferent with the recent school policy change.The table has two columns, which are given as follows:
Student's opinions.Absolute frequencies of the student's opinions.Hence the number of degrees of freedom of the test is given as follows:
df = (3 - 1) x (2 - 1) = 2 x 1 = 2.
More can be learned about chi-square tests at https://brainly.com/question/4543358
#SPJ1
help i have no clue what this even means
Answers
Case 1: largest surface area: 2120 sq. in.
Case 2: smallest surface area: 1380 sq. in. of the wooden block.
What is defined as the cuboid?A three-dimensional shape called a cuboid is described as having six rectangular face, eight vertices, and twelve edges.Twelve edges plus eight vertices and corners to up a cuboid.For the given question, the dimensions of the wooden block are given.
Length l = 50 inchesWidth w = 5 unitsHeight h = 2 unitsSurface area of a cuboid is = 2lw + 2lh + 2 hw
Case 1: largest surface area.
To get the largest surface area, join the wooden cube along length 50 cm.
Total length = 50 + 50 + 50 = 150 inches.
Put in formula.
Surface area = 2×150×5 + 2×5×2 + 2×2×150
Surface area = 2120 sq. in.
Case 2: smallest surface area.
To get the smallest surface area, join the wooden cube along height 2 cm.
Total length = 2 + 2 + 2 =8 inches.
Put in formula.
Surface area = 2×8×50 + 2×50×5 + 2×5×8
Surface area = 1380 sq. in.
Thus, the smallest surface area of the wooden cube is found as 1380 sq. in.
To know more about the cuboid, here
https://brainly.com/question/26403859
#SPJ13
The correct question is-
There are 3 identical wooden blocks that are 50 inches long, 5 inches wide and 2 inches thick. If you glue them together , what is the largest and smallest outer surface area can get?
At the beginning of the lesson, Jacob determined that there was a problem with the sail length measurements of 7.5 meters, 4.8 meters, and 2.5 meters. Explain how Jacob was able to determine there was a problem with the specifications of the triangular sail.
Answers
Answer:
Jacob was able to determine there was a problem with the specifications of the triangular sail because of the Pythagorean theorem.
Step-by-step explanation:
Assume the triangular sail is a right triangle.
The Pythagorean theorem says: [tex]A^{2} + B^{2} = C^{2}[/tex]
If A = 4.8, B = 2.5, and C = 7.5, then [tex]4.8^{2} + 2.5^{2} = 7.5^{2}[/tex].
[tex]4.8^{2} + 2.5^{2} = 23.04 + 6.25 = 29.29[/tex]
[tex]7.5^{2} = 56.25[/tex]
In conclusion, [tex]29.29 \neq 56.25[/tex], so there is a problem with the sail.
which equation represents the graph below?
y = −1/5x − 3y
y = 5x − 3y
y = −1/5x + 3
Answers
Answer:
y=-1/5x+3
Step-by-step explanation:
I think this the answer
Answer:
y = -1/5x - 3
Step-by-step explanation:
→ Find the x intercept
( - 15 , 0 )
→ Find y intercept
( 0 , -3 )
→ Find gradient
y = -1/5x + c
→ Substitute coordinate pair in
y = -1/5x - 3
PLEASE HELP!! I NEED SOMEONE TO HELP ME!
Use distributive property to remove parenthesis.
-9( -3w + 3u - 4)
Answers
The answer is 27w - 27u +36 of the given -9( -3w + 3u - 4)
Given,
In the question:
Use distributive property to remove parenthesis.
-9(-3w + 3u - 4)
Now, According to the question:
First, we know:
What does parentheses mean distributive property?
The distributive property allows us to multiply all terms in a parentheses by a number outside of it. a(b +c) = ab + ac.
We have:
-9(-3w + 3u - 4)
Solve by Distributive Property :
-9(-3w + 3u - 4)
Open the bracket:
27w - 27u +36
Hence, The answer is 27w - 27u +36 of the given -9( -3w + 3u - 4)
https://brainly.com/question/24250709
#SPJ1
the ages of five randomly choose cars in the parking lot are determined to be 7, 9, 3,4, and 6 years old. if we consider these 5 cars in groups of 3, how many groups can be formed?
Answers
https://brainly.com/question/15584421
Can someone help me with this please! I really need it done PLS
increase the amount of the ingredients by 5 and by 20
Answers
Answer:
it's 50 g
Step-by-step explanation:
it's like a multiplying assberry kehe
Karl bought 1.6 pounds of oranges and 2.4
pounds of pears. They each cost $1.48 per pound
Use properties to find the total cost.
Answers
Answer:
$5.92
Step-by-step explanation:
1.6 lbs. + 2.4 lbs. = 4 lbs.
4 x 1.48 = 5.92
Since it doesn't specify whether the oranges and apples cost differently you can add both of them. Then you multiply it by 1.48 because that's the cost per pound.
Find a formula for the nth term in this
arithmetic sequence:
a1 = 7, a2 = 4, a3 = 1, a4 = -2, ...
Answers
The formula of nth term is = 10 - 3n
What is AP?
A series of numbers called an arithmetic progression or arithmetic sequence (AP) has a constant difference between the terms. Take the numbers 5, 7, 9, 11, 13, and 15 as an example. . . is a sequence of numbers having a common difference of two.The n-th term of the sequence is given by:, if the beginning term of an arithmetic progression is and the common difference between succeeding members is, thenIf the AP contains m phrases, then denotes the final term, which is given by:The term "finite arithmetic progression" or "arithmetic progression" refers to a finite segment of an arithmetic progression. An arithmetic series is the total of a finite arithmetic progression.Acc to our question-
For the nth term in an algebraic seriesU(n) = a + (n - 1)dthe number of terms is n.The first term is a.d is the typical differenceFrom the preceding sequencea = 7d = 4 - 7 = - 3The nth term's formula isU(n) = 7 + (n - 1)-3= 7 - 3n + 3The ultimate solution is= 10 - 3nHence,The formula of nth term is = 10 - 3n
learn more about AP click here:
https://brainly.com/question/6561461
#SPJ13
Which of the following would be a good estimate for -7.94 - 2.31?
-10
-5
-9
-6
will mark brainiest
Answers
Answer:-10.25
Step-by-step explanation:
Just because ;) -10.25= -10.00
Answer:
-10
Step-by-step explanation:
Estimate between the two numbers?
Add them together first
Which equals -10.25
The closest would be -10
question the probability that a randomly selected visitor to a certain website will be asked to participate in an online survey is 0.40. avery claims that for the next 5 visitors to the site, 2 will be asked to participate in the survey. is avery interpreting the probability correctly? responses yes, because 2 out of 5 is equal to 40%. yes, because 2 out of 5 is equal to 40%. yes, because participants in the survey are selected at random. yes, because participants in the survey are selected at random. no, because there could be voluntary response bias. no, because there could be voluntary response bias. no, because only 40% of all people will visit the site. no, because only 40% of all people will visit the site. no, because 0.40 represents probability in the long run over many visits to the site.
Answers
Out of the next 5 visitors, 2 will be asked to attempt the survey. (A) yes, because 2 out of 5 is equal to 40%.
It is given the probability that the randomly selected person is asked to participate in an online survey is 0.4
This means that there is a 40% chance of a visitor being asked to join the survey.
Probability of an event = no. of favorable outcomes / total no of outcomes
P(E) = n(E) / n
Therefore, if the number of visitors to the website is 5,
n = 5
P(E) = 0.4
Hence,
n(E) / 5 = 0.4
or, n(E) = 0.4 X 5
or, n(E) = 2
Therefore, out of the next 5 visitors, 2 will be asked to participate in the survey.
Correct Question
The probability that a randomly selected visitor to a certain website will be asked to participate in an online survey is 0.40. Avery claims that for the next 5 visitors to the site, 2 will be asked to participate in the survey. is Avery interpreting the probability correctly?
(A) yes, because 2 out of 5 is equal to 40%.
(B) yes, because participants in the survey are selected at random.
(C) no, because there could be voluntary response bias.
(D) no, because only 40% of all people will visit the site.
(E) no, because 0.40 represents probability in the long run over many visits to the site.
To learn more about Probability visit
https://brainly.com/question/28168108
#SPJ4
f(x)=-1²-3x+ 20
Find f(5)
Answers
Answer:
6
Step-by-step explanation:
-1^2-3(5)+20
1-15+20
1+5
6
hopes this helps
If the public debt of a country in 2009 was $11,982,000,000,000and the
budget for 2010 was in deficit by $101,347,000,000 , what was the public debt
in 2010? Do not include commas in your answer.
Answers
If a country's public debt in 2009 was $11,982,000,000,000 and its budget for 2010 was $101,347,000,000 in deficit, the public debt in 2010 is $12083347000000.
What is public debt?Government obligations, particularly those evidenced by securities, to pay certain sums to holders at some future time. Private debt, which includes the obligations of individuals, businesses, and nongovernmental organizations, is distinct from public debt. A debt-to-GDP ratio compares a country's total debt to its economic productivity. Divide a country's debt by its GDP to calculate the debt-to-GDP ratio. Governments can use public debt to raise funds to expand their economies or pay for services. Politicians would rather increase the national debt than raise taxes. The national debt includes public debt, and when the national debt reaches 77% or more of GDP, the debt begins to slow growth.As given
if the public debt of a country in 2009 was $11,982,000,000,000 and the budget for 2010 was in deficit by $101,347,000,000 .
Total public debt in 2010 = Public debt in 2009 + Amount by which 2010 budget deficit .
= $ 11982000000000 + 101347000000
= $ 12083347000000
Therefore the public debt in 2010 is $12083347000000.
To learn more about public debt, refer to:
https://brainly.com/question/19572686
#SPJ13
What is the sum of the 9th square number and the 5th cube number?
Answers
Answer:
Step-by-step explanation:
Please help! The total cost after tax to buy floor tiles is represented by 14f+0.096(14f), where f represents the number of square feet of tile are need to cover the floor.
a. What part of the expression represents the amount of tax that must be paid? Explain. (3 pts)
b. What would the expression be if the cost per square foot was $15 (plus tax)? (3 pts)
Answers
Considering the expression in this problem, it is found that:
a) The part of the expression that gives the amount of taxes that has to be paid is: 0.096(14f).
b) The expression would be of: C(f) = 15f + 0.096(15f).
What is the meaning of the expression?The expression for the total cost in this problem is presented as follows:
C(f) = 14f + 0.096(14f).
The meaning of each term is given as follows:
14f means that the cost of each square feet of tile is of 14 f.0.096 x 14f means that an additional 0.096 = 9.6% is paid of tax for each square feet of tile purchased.If the cost per square foot was of $15 instead of $14, the complete expression would be as follows:
C(f) = 15f + 0.096(15f).
That is, the two instances of 14 in the equation were replaced by 15.
More can be learned about expressions at https://brainly.com/question/9409187
#SPJ1
Please help me with this question
Answers
Answer: The ladder reaches 4.8 ft up the wall
Step-by-step explanation:
Sin 53°=0.80
Cos 53°=0.60
Tan 53°=1.33
Cos 58°/1 = X/8
0.60/1 = X/8
X=4.8
On average, Logan drinks 2/3 of a 6-ounce glass of water in 1 4/5 hours. How much water does he drink, in glasses per hour? Enter your answer as a whole number, proper fraction, or mixed number in simplest form.
Answers
[tex]\frac{3}{4}[/tex] of a 6-ounce glass will be drink by Logan in one hour.
What is Quantity?
Quantity is any number or variable and any algebraic combination of other quantities.
Define Average?
The average value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values .
Explanation for the answer:
Given time [tex]= \frac{2}{3}[/tex] of hours
= [tex]\frac{2}{3}\times 60[/tex] ([tex]\because[/tex] 1hrs = 60min)
[tex]= \frac{120}{3}[/tex]
= 40 minutes
Given quantity of water [tex]=\frac{1}{2}\ of\ 6\ ounce[/tex]
[tex]= \frac{1}{2}\times6\\ =3 ounce[/tex]
So,
In 40 mins, water intake is 3 ounce
In 1 min, water intake is [tex]\frac{3}{40}[/tex]
In 60 mins, water in take is [tex]\frac{3}{40}\times 60 = 4.5\ ounce[/tex]
Quantity of water intake in 60 mins:
4.5 ounce or 3/4 of 6-ounce glass
Learn more about Quantity and Average:
https://brainly.com/question/20118982
#SPJ13
There are 40 coins in a roll of nickels .there are 50 coins in a roll of dimes and 20 coins in a roll of half -dollars.alondra has 3 rolls of coins. she has a total of 90 coins. make an organized list to show all the combinations of coin rolls. what coins does alondra have?
Answers
Answer:
she has 2 half dollors and 1 dimes
Step-by-step explanation:
2 half dollors means 2x20=40 coins
1 dimes means 1x50=50 coins
when you total it you get 50+40=90
so it is 3 rolls and it totally has 90
Solve for the value of v.
50⁰
(V-7)
Answers
The value of v as required to be solved for in the task content is; 47.
What is the value of according to the right triangle?It follows from the complete task content that a right triangle in which case the angle measures are; 50°, (v - 7)° and 90° is to be solved for variable v.
Recall from triangle geometry that the algebraic sum of angles in a triangle is; 180°.
Therefore, we have;
50° + (v - 7)° + 90° = 180°
v - 7 + 140 = 180
v = 180 - 140 + 7
v = 47.
On this note, the value of variable, v as required to be determined is; 47.
Completed question; The complete question is such that a right triangle with two other angles 50° and (v - 7)° is given.
Read more on sum of angles in a triangle;
https://brainly.com/question/21680544
#SPJ1
Four
Four students, Ryan, Angel, Evan and Oliver were
shipwrecked on an island. Having no food they went to
work gathering pineapples. After gathering pineapples,
they were tired and all fell asleep. After another while,
Angel woke up and was very hungry and so she ate 1/3
of the pineapples - more than her proper share.
Shewent back to sleep. Evan woke up and, being
hungry, ate 1/3 of the remaining pineapples and went
back to sleep.Oliver did the same. When Ryan woke up,
he only took his rightful share of the remaining
pineapples. Then there were 6 pineapples left. How
many pineapples did they all gather?
Answers
Pineapple originally gather is 27
Quadratic equations are what?
An algebraic equation of the second degree in x is a quadratic equation. The quadratic equation is written as ax2 + bx + c = 0, where x is the variable, a and b are the coefficients, and c is the constant term.
Step-by-step explanation:
Working Backward strategy
Remaining Pineapple = 3
[tex]\frac{2}{3}x+3=x[/tex]
x=9
Remaining Pineapple now = 9
ATQ [tex]\frac{1}{4}x+9=x[/tex]
x = 12
Remaining Pineapple now = 12
ATQ [tex]\frac{x}{3}+12=x\\[/tex]
x=18
Remaining Pineapple now =18
ATQ [tex]\frac{x}{3}+18=x[/tex]
x=27
hence The ans is 27
Learn more about Quadratic equations:
https://brainly.com/question/1214333
#SPJ13
31.24 to 1 deecimal place
Answers
Round 31.24 to 1 decimal place:
31.2
Answer:31.2
Step-by-step explanation:
you remove the 4 because it is less than 5.
Given Two Points: Write the equation of the line with the two given point
5. (1, 3) and (-3, -5)
6. (1, 4) and (6, -1)
7. (-12, 14) and (6, -1)
8. (-4,-2) and (4, 0)
Writing Parallel & Perpendicular Equations
9. Write an equation parallel to y = 3x + 6 that passes through the point (4, 7).
Answers
5. -5-3/3-1 -8/2 = slope of -4
6. -1-1/6-1 = slope of -2/5
7. -1-14/6-(-12) -15/18 = slope of -5/6
8. 0-(-2)/4-4 2/0 = slope of 2
9. An equation parallel to y=3x+6 needs to have the same slope but different y-intercept. A possibility could be that the y-intercept is 0. So the equation could be y=3x.
Help!! Can someone state all the statements and reasons to prove that triangle WXY is congruent to triangle WZY!! It’s geometry proofs.
Whoever gives me the answer I’ll give them 20!
Answers
It is true that WXY ≅ WZY.
What is a congruent?
Congruent refers to things that are exactly the same size and shape. Even if we flip, turn, or rotate the forms, the shape and size should remain the same.
Properties of Congruence
Reflexive Property: An angle is congruent to itself.
Symmetric Property: The order of congruence does not matter.
Transitive Property: If two angles are both congruent to a third angle, then the first two angles are also congruent.
Here, It is given that
Angle ZWY is congruent to angle XWY
Segment WZ is congruent to Segment WX
Segment WY is congruent to Segment WY - Reflexive Property of Congruence (which states that one thing is congruent to itself.
Hence, Triangle WXY is congruent to Triangle WZY because of Side Angle Side (SAS) postulate.
To learn more about the congruence from the given link
https://brainly.com/question/20880990
#SPJ1
What is the speed of a jet plane that travels 3,000 meters in 100 seconds?
Answers
Answer:
Step-by-step explanation:Answer: 108,000m/h (108km/h or 30m/s)
A coffee company surveyed 40 potential customers to see where they would
like the company's new organic coffee sold. Respondents were given the
following four locations and asked to choose as many as they liked: grocery
stores, drugstores, health food stores, and big box stores. The results are
summarized in the bar graph below, with the number of times each location
was chosen noted above the corresponding bar.
Answers
According to the statistics presented in the bar graph of responders of four locations per 40 potential customers, the average number of places chosen per potential client is 2.5.
We are given;
Total number of potential customers =40
From the bar graph number of respondents are following;
At grocery stores = 40
At drugstores respondents = 32
At health food stores = 8
At big box stores = 20
So,
The average number = Total number of respondents / Total number of potential customers
The average number = (40 + 32 + 8 + 20) / 40
The average number = (100) / 40
The average number = 2.5
Thus, according to the statistics presented in the bar graph of responders of four locations per 40 potential customers, the average number of places chosen per potential client is 2.5.
To learn more about the bar graph visit:
https://brainly.com/question/8644324
#SPJ1
Hooke's Law states that the displacement, d, that a spring is stretched by a hanging object varies directly as the mass, m, of the object. If the distance is 12cm when the mass is 4kg, what is the distance when the mass is 5kg.
Answers
The distance when the mass is 5kg is 15cm.
What is the distance?When two values vary directly, it means that both values move in the same direction. If one of the value increases, the other value increases and if one of the values decreases, the other value decreases.
The equation that is used to represent direct variation is:
d = km
Where:
d = distance k = constant of variation m = massThe first step is to determine the value of k:
12 = 4k
k = 12 / 4
k = 3
d = 3 x 5 = 15cm
To learn more about direct variation, please check: https://brainly.com/question/13026479
#SPJ1
we have calculated a 95% confidence interval for p and would prefer to have a smaller margin of error without losing any confidence. in order to do this, we can i. change the z value to a smaller number. ii. take a larger sample. iii. take a smaller sample.
Answers
Using the concepts of errors and measurement, we got that by taking a larger sample 95% confidence interval for p and would prefer to have a smaller margin of error without losing any confidence.
In science, experimental errors may be caused due to the human inaccuracies like a wrong experimental setup in the science experiment or choosing the wrong set of people for the social experiment. Systematic error refers to that error which is actually inherent in the system of experimentation.
Hence, if we have calculated a 95% confidence interval for p and would prefer to have a smaller margin of error without losing any confidence. in order to do this, we can take a larger sample.
To know more about errors and measurement, visit here:
https://brainly.com/question/28109798
#SPJ4
4. The drama club is printing t-shirts for its members. The printing company chargesa certain amount for each shirt plus a setup fee of $40. There are 21 students in the drama club.
a. If there are 21 students in the club and the t-shirt order costs a total of $187, how much does each t-shirt cost? Show your reasoning.
Answers
Answer:
$7
Step-by-step explanation:
You want the cost of a shirt when the cost of 21 shirts plus a $40 setup fee is $187.
CostThe total cost of the order is the sum of the setup fee and the extended cost of the shirts.
cost = (setup fee) + (number of shirts) × (cost per shirt)
187 = 40 + 21 × (cost per shirt)
Subtracting 40 gives ...
147 = 21(cost per shirt)
Dividing by 21, we have ...
7 = cost per shirt
Each T-shirt costs $7.
The demand function for a certain make of replacement cartridges for a water purifier is given by the equation p=−0. 01x2−0. 1x+21 where p is the unit price in dollars and xis the quantity demanded each week, measured in units of a thousand. Determine the consumers' surplus if the market price is set at $9/cartridge. (Round your answer to two decimal places. )
Answers
The demand function for a certain is given by the equation p=−0. 01x2−0. 1x+21 then the determined values will be −50.905557, −0.427737,41.333295.
From the given values,
R=px
9 = (−0. 01x2−0. 1x+21) x
0.01x3+0.1x2−21x−9=0
By reducing the equation,
X = −50.905557, −0.427737,41.333295.
Therefore, the determined values will be −50.905557, −0.427737,41.333295.
Learn more about Equation here
https://brainly.com/question/15707224
#SPJ4
