Answers
The values of x after applying congruency to solve the complete shape is 3.5.
What are congruent shapes?Two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other. The symbol to represent two congruent shapes is ≅.
To calculate the values of x in the diagram, we need to first join point Q to point H and point G to form ΔQHG also, we join point Q to point E and point F to form ΔQFE.
Comparing ΔQHG and ΔQFE, we can deduce that
ΔQHG ≅ ΔQFETherefore,
x+8 = 3x+13x-x = 8-12x = 7x = 7/2x = 3.5Hence, the values of x in is 3.5.
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Related Questions
A chess board is made using the ratio of square length to king's height, 2.5 inches to 4.5 inches. If a chess board is made with a king's height of 2.25 inches, what is the length of the square? 0.75 inch 1.25 inches 2.25 inches 4.75 inches
Answers
The length of the square, given the height of the King, can be found to be 1.25 inch.
How to find the height?The chessboard is made such that its square length as a ratio would be 2 . 5 inches to 4 . 5 inches for the King's height.
If the King's height is 2. 25 inches, the square length of the chess board can be found by the formula:
= ( King's height x Ratio of square length ) / Ratio of King's height
Solving gives us:
= (2 . 25 x 2 . 5 ) / 4.5
= 5.625 / 4. 5
= 1.25 inches
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Rewrite the point-slope form equation into slope-intercept form.
y+4= -3(x-5)
The slope-intercept form of the equation is
(Type an equation. Use integers or fractions for any numbers in the equation.
Answers
The point slope and the intercept form is y = -3x + 11
What is the slope intercept form?One of the most popular ways to represent a line's equation is in the slope intercept form of a straight line. When the slope of the straight line and the y-intercept are known, the slope intercept formula can be used to determine the equation of a line ( the y-coordinate of the point where the line intersects the y-axis).
This written in the form of y = ax + b
where a is the slope and b is the intercept
We have the equation as
y + 4 = - 3 ( x - 5 )
we would have to open the bracket and then take the like term
this is going to be
y + 4 = -3x + 15
From here we would get the like term
y = -3x + 15 -4
y = -3x + 11
The slope is -3 and the intercept is 11.
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question 4 while verifying cleaned data, a data analyst encounters a misspelled name. which function can they use to determine if the error is repeated throughout the dataset?
Answers
The function can they use to determine if the error is repeated throughout the dataset is " COUNTA ".
The given condition needs the following function;
Data Integration Error:
Data from a single source, obtained and entered in the same way across time is unusual to be present in a database of significant size and age. A database frequently comprises data that has been gathered over time from various sources using various ways. As an illustration, consider how the meaning of "affected" is evolving or changing as the crisis progresses and the number of people affected is tracked over time. In addition, many databases evolve in practice by joining together different pre-existing databases. Almost always, the databases involved in this merging effort include discrepancies involving various data units, measurement intervals, formats, etc. Any process that combines data from various sources has the potential to make mistakes. When two or more databases are combined, errors will be found where there are discrepancies between the databases as well as new errors will be produced (i.e. duplicate records). A few potential origins and types of errors in a big assessment are shown in Table 1 below, at three fundamental levels: after completing the survey, when adding information to the database, and when conducting the analysis.
So, we use " COUNTA "
The function can they use to determine if the error is repeated throughout the dataset is " COUNTA ".
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A prize is divided in the ratio 1:8.If the larger share is £72 what is the smaller share?
Answers
Answer:
£9
Step-by-step explanation:
1:8=9
?:72
72÷9=8
9×1=9
Julie obtained an installment loan of $4,600 to have some trees removed from her
yard. The APR is 13 percent. The loan is to be repaid in 36 months. What is the
finance charge (Use the table on page 799 for monthly payment)?
O $2,432.02
A
O $12,870.00
B
O $16.15
C
O $980.72
D
Answers
The finance charge for Julie's installment loan of $4,600 at 13% for 36 months is D. $979.64.
What is the finance charge?The finance charge represents the interest and other administrative charges for granting a loan to an individual or organization.
The finance charge is always described in terms of the APR (annual percentage rate) that accrues on the loan, depending on the amount and the period.
N (# of periods) = 36 months (3 years x 12)
I/Y (Interest per year) = 13%
PV (Present Value) = $4,600
FV (Future Value) = $0
Results:
PMT = $154.99
Sum of all periodic payments = $5,579.64
Total Interest = $979.64
Thus, Julie will pay a finance charge of $979.64.
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Question Completion:Option D. $979.64
Write the fraction or mixed number as a percent . 6/25
Answers
Answer:
24%
Step-by-step explanation:
6/25 is also the same as 24/100 because
(6/25)*(4/4)=24/100
Since the denominator is 100, the numerator is the percentage.
6/25=24%
Answer:
24%
Step-by-step explanation:
One way to figure this out is to multiply the denominator by 4 so that it becomes 100. This makes it easy to see what the percentage will be.
6/25 x 4/4 = 24/100
6/25 = 24%
What is the product?
3 6 1
24 0
0 6 2
x 2 0 1
Answers
Answer:
Step-by-step explanation:
a restaurant has special menu that features three choices of salad, six choices of entree, and eight choices of dessert. how many different three course meals could you order
Answers
72 three course meals we can order.
Question states that;
A restaurant offers a special menu with three salad options, six meal options, and eight dessert options.
Counting Principle:
The counting rule is another name for the Fundamental Counting Principle. It's a way to figure out how many possible outcomes there are in a probability word problem. Probability is the likelihood that an event will occur. An event's probability is always a number between 0 and 1. The probability of all events added together equals one.
We need to find how many three course meals we can order;
Total number of ways,
P(A) = 3 * 6 * 8
P(A) = 72
72 three course meals we can order.
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Fill in the missing values from the similar figures in the table
Answers
Step-by-step explanation:
9 × 1/2 = 4.5
8 × 1/2 = 4
hope it's helpful
Meal Deal £5.00
A sandwich
A dessert
A drink
The following choice is available:
5 different sandwiches
4 different desserts
6 different drinks
a) How many different combinations are possible with the Meal Deal?
b) Two of the desserts are sugar-free.
Three of the drinks are sugar-free.
A Meal Deal combination is selected at random.
Work out the probability that both the dessert and the drink are sugar-free
Give your answer as a fraction.
Answers
Combinations that are sugar free = 5 x 2 x 3 = 30
Probability that random meal is sugar free = 30/120 [= 1/4 if you need to simplify]
poisson distribution is applied for a. continuous random variable b. discrete random variable c. irregular random variable d. uncertain random variable
Answers
Poisson Distribution along with Binomial Distribution is applied for Discrete Random variable.
What is discrete variable and example?
Counting is the method used to determine the value of a discrete variable. examples: the number of pupils in attendance. how many red marbles are in the container. number of heads when three coins are flipped. grade level of the pupils.What is discrete and continuous random variable?
The range of possible values for a discrete random variable is finite. Any value could be assigned to a continuous random variable (usually within a certain range). Although it could be a rational fraction, a discrete random variable is normally an integer.Learn more about discrete random variable
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PLEASE HELPPPP!!!
Simplify the imaginary number...
Answers
you have seven different video games. how many different ways can you arrange the games side by side on a shelf?
Answers
The number of different ways to arrange 7 video games is = 7!
The question requests for the number of arrangements; That means we're dealing with permutation
the number of video games is 7;
To arrange 7 games, we make use of the following permutation formula;
[tex]^{n}P_{n} = \frac{n!}{(n-n)!}[/tex]
So, we have
n=7
No. of ways we can arrange is = [tex]\frac{7!}{(7-7)!}[/tex] = 7!
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What is the domain of the following function
Answers
The domain of the given function is equal to: {-4, 2, 6, 9}.
What is a domain?In Mathematics, a domain can be defined as the set of all real numbers for which a particular function is defined. This ultimately implies that, a domain is the set of all possible input numerical values or numbers to a function and the domain of a graph comprises all the input numerical values which are shown on the x-axis.
Generally speaking, the horizontal extent of the graph of a function represents all domain values and they are read and written from the smallest to the largest numerical values, and from the left of a graph to the right.
By critically observing the given function, we can reasonably and logically deduce the following:
Domain = {-4, 2, 6, 9}.
Range = (-3, 1).
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Can anyone state the vertex of the graph?
Answers
The graph has no vertex
The transformations from the parent function are
Vertical shift down 2Horizontal shift left 4How to determine the vertex?The graph represents the given parameter
As a general rule, the maximum or the minimum of a graph is the vertex
However, the graph has no maximum or minimum
This means that there is absence of a vertex in the graph
The transformationHere, we have:
The graph is translated 4 units to the left of the origin The graph is translated 2 units below the originThis transformation can be represented as (x - 4, y - 2)
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pythagorean theorem digital escape puzzle 2 HELPPPP
Answers
Answer:
EGFB
Step-by-step explanation:
PQ= (105)^2 + (208)^2
PQ=233
Area = b*h
Area = 21840
RS = (210)^2 + (120)^2
RS = 241.87
Area = 1/2bh
Area = 1/2 (210)(120)
Area = 12600
y = 1,000x is that a constant proportionality
Answers
TEXT ANSWER
Jason provided the following work when asked to convert 0.105 to its simplest fraction
form.
1. Why did Jason get the problem wrong?
2. Provide the work for properly writing the decimal in its simplest fraction form.
Jason's Work:
0.105=
105
21
1000 200
Answers
Answer:
See below
Step-by-step explanation:
.105 is 105 THOUSANDTHS or 105/1000
Divide top and bottom by '5'
to get 21/100
I NEED HELP ASAP :
if a volume of an object varies directly with its width and if the volume is 16, while the with is 4 what is k?
Answers
The value of k is 4.
What is Proportion ?In general, the term "proportion" refers to a part, share, or amount that is compared to a total.
According to the concept of proportion, two ratios are in proportion when they are equal. Two ratios or fractions are equal when an equation or a declaration to that effect is utilised.
A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.
Given:
Volume= 16
Width = 4
So, we can write the relation as
Volume= k (width)
k = Volume/ width
k= 16/4
k = 4
Hence, the value of k is 4.
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Write an equation for the line parallel to the given line that contains the given point.
Line: 8y=6x+5 Point: (-8,-10)
Please answer quick!!
Answers
The linear equation parallel to 8y=6x+5 is:
y = (3/4)*x - 4
How to find the equation of the parallel line?Remember that two linear equations are parallel if and only if both lines have the same slope and different y-intercept.
Here we want to find a line parallel to:
8y = 6x + 5
Rewriting this in slope-intercept form we get:
y = (6x + 5)/8
y = (3/4)*x + 5/8
Then a parallel line to this one will be:
y = (3/4)*x + b
To find the value of b, we use the fact that this line must pass through the point (-8, -10).
-10 = (3/4)*(-8) + b
-10 = -6 + b
-10 + 6 = b
-4 = b
Then the linear equation is:
y = (3/4)*x - 4
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How many complete centerpieces can she make? Find the exact answer.
Answers
The number of centerpieces that she can make, using proportions, is of:
25.
What is a proportion?A proportion is a fraction of an amount, and this fraction is combined with the unit rates in the context of a problem, and basic arithmetic operations, especially multiplication or division, to find the desired amounts in the same context of this problem.
In the context of this problem, the number of centerpieces is given by the division of the the total number of flowers by the number of flowers in each centerpiece.
The amounts are given as follows:
Flowers: 430.Flowers per centerpiece: 17.Hence the division giving the number of flowers per centerpiece is:
n = 430/17 = 25.2.
The amount is rounded down to 25, as for 26 centerpieces, more flowers would be needed.
Missing InformationHailey is making floral centerpieces for a wedding. Each centerpiece has 17 flowers. She has 430 flowers for the project.
How many complete centerpieces can she make? Find the exact answer.
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which combination of factors is most likely to produce a significant value for an independent-measures t statistic? group of answer choices small samples and small variance small samples and large variance large samples and small variance large samples and large variance
Answers
large samples and small variance are combination of factors is most likely to produce a significant value in standard deviation .
What is standard deviation?
The term "standard deviation" refers to the degree of dispersion of the data from the mean. Data are grouped around the mean when the standard deviation is low, and are more dispersed when the standard deviation is high.The standard deviation calculates how much the data vary from the mean value. The mean of the following two numbers, for instance, is the same: 15, 15, 15, 14, 16 and 2, 7, 14, 22, 30. The second, though, is obviously more dispersed.t = x - μ/s/√n
t = √n( x- μ)/s
t will be significant when its value will be higher .
so, the answer is large samples and small variance .
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One has a face value of $32.50, and one has a face value of $26.50. He uses a coupon and gets both tickets at One-fourth off. If he pays with a $50 bill, how much change should Tamir receive?
Answers
The change that Tamir would have to receive would be: $5.75
How to solve for the changeWe would first have to solve for the total amount of the tickets that Tamir has received
This would be given as
32.5 + 26.5 dollars
= 59 dollars
Given that he has a 1/4 off in both of the tickets the amount that he would have to pay would be
59 - 1/4 * 59
59 - 14.75
= $44.25
This is the amount that he would have to pay for the coupons.
Given that he used a $50 bill, we would have to solve for his change.
This would be solved as $50 - $44.25
= 5.75
Hence his change is going to be $5.75
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A number is being multiplied by a power of 10. Find the number.
Enter your answers in the boxes.
___________ × 102 = 700
___________ × 103 = 36,000
___________ × 105 = 400,000
Answers
Answer:
When you have the base of 10 and an exponential index of “n”, the powers of 10 says that the resulting number will be 1 followed by “n” number of zeros. So for example, 10 to the 7th represents the same thing as 1 followed by 7 zeros. The result is 10,000,000 (10 million). Multiplying whole numbers by a power of ten would mean that you ...
2^(x+3) = ((1)/(8))^(x+2) solve for x
step by step exlanation
Answers
x = −9/4
Decimal Form:
x = − 2.25
Mixed Number Form:
x = −2 1/4
algebra solution for tiffany had $330 in her account in 1999 and the value has been growing exponentially at a constant rate. the value of the account reached $590 in the 2007. what is the value in 2009?
Answers
The value of the account in the year 2009 will be $682.
The acount's balance, in t years after 1999, can be modeled by the following equation.
In which A(t) is the amount after t years, P is the initial money deposited, and r is the rate of interest.
In which A(t) is the amount after t years, P is the initial money deposited, and r is the rate of interest.
$330 in an account in the year 1999This means that $590 in the year 20072007 is 8 years after 1999, so P(8) = 590.We use this to find r.Determine the value of the account, to the nearest dollar, in the year 2009.2009 is 10 years after 1999, so this is A(10).The value of the account in the year 2009 will be $682.learn more about solutions here:
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Sophia earned $36 at her job when she worked for 4 hours. Fill out a table of equivalent ratios and plot the points on the coordinate axes provided.
Answers
Now we know the unit rate is $9 per 1 hour we can divide 54 by 9 to get 6.
So essentially the answer is
9,1.
36,4.
54,6
I apologize if anything is incorrect.
Compare these fractions by filling in the blank with the appropriate sign. 5/11 _____ 4/9
Answers
Answer:
5/11 > 4/9
Step-by-step explanation:
5/11 = 0.45454545....
4/9 = 0.44444444....
4 tins of soup have a total weight of 1120 grams
3 tins of soup and 5 packets of soup have a total weight of 1015 grams
work out the total weight of 5 tins of soup and 2 packets of soup
Answers
4 tins of soup = 1120g
1 tin of soup = 1120/4 = 280g
3 tins of soup = 3x280g = 840g
5 packets of soup = 1015g - 840g = 175g
1 packet of soup = 175g/5 = 35g
5 tins of soup + 2 packets of soup =(5x280)g + (2x35)g
= 1400g + 70g
= 1470g
a group contains n men and n women. identify the steps used to find the number of ways to arrange n men and n women in a row if the men and women alternate?
Answers
With the help of factorisation we can conclude our answer.
What is factorisation?The breaking or decomposition of an entity (such as a number, a matrix, or a polynomial) into the product of another entity, or factors, whose multiplication results in the original number or matrix is known as factorization or factoring in mathematics.A polynomial or integer is simply resolved into components that, when multiplied together, produce the original or starting polynomial or integer. The factorization method allows us to simplify any algebraic or quadratic equation by representing the equations as the product of factors rather than by expanding the brackets. Any equation can have an integer, a variable, or the algebraic expression itself as a factor.acc to our question-
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