Answers
Here are the identified names of the congruent
a) ∠B≅∠Y
∠C≅∠X
b) AC≅XZ
BC≅XY
c) ΔCAB≅ΔXZY
What is meant by congruency?Two figures or objects are said to be congruent in geometry if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.
In more formal terms, two sets of points are said to be congruent if and only if one can be changed into the other using isometry, which is a combination of rigid motions such as translation, rotation, and reflection. This means that one item can be relocated and reflected (but not scaled) so that it perfectly coincides with the other. So two distinct plane figures on a piece of paper are congruent if they can be cut out and entirely matched up. It is permissible to turn the paper over.
Given BCA and YZX are congruent
a) AB≅YZ ----1
AC≅XZ ------2
∴∠A=∠Z
BC≅XY -------3
From 1 and 3,
∠B≅∠Y
From 2 and 3,
∠C≅∠X
b) From 1,
AB≅YZ
From 2,
AC≅XZ
From 3,
BC≅XY
c) From 1, 2 and 3
ΔCAB≅ΔXZY
To know more about congruency, visit:
https://brainly.com/question/13671709
#SPJ1
Related Questions
3 3⁄10 - 2 23⁄100 = please help
Answers
Answer:
107/100 or 1 7/100 or 1.07
Step-by-step explanation:
Turn into improper fraction: 33/10 - 223/100
Find LCM: which is 10 because 10*10 = 100 and make common denominators
330/100 - 223/100 = 107/100 or 1 7/100
Hope this helped!
Answer:
4 3⁄10 = 4 30⁄100
4 30⁄100 - 2 23⁄100 = 2 7⁄100
Step-by-step explanation:
the discriminant of a quadratic equation is equal to -8, which statement describes the roots?
• There are two complex roots.
O There are two real roots.
• There IS one real root.
O There IS one complex root.
Answers
Answer:
(a) There are two complex roots
Step-by-step explanation:
The discriminant of a quadratic function describes the nature of its roots:
negative: two complex rootszero: one real root (multiplicity 2)positive: two distinct real roots.__
Your discriminant of -8 is negative, so it indicates ...
There are two complex roots
_____
Additional comment
We generally study polynomials with real coefficients. These will never have an odd number of complex roots. Their complex roots always come in conjugate pairs.
Justin, Cam, and Ben are playing a board game where exactly one player will win. Ben estimates that Justin has a 20%, percent chance of winning each game and that Cam has a 50% percent chance of winning each game.
What is the probability that Ben will win the board game?
Answers
Answer:
30%
Step-by-step explanation:
If Justin has a 20% chance and Cam has a 50% chance that adds up to 70%
But you need to get to 100% so all you do is
70 - 100 = 30
30%
Let y = f(x), where 'x9 - * = (xy Find the differential of the
function. dy = 5x* - 6 X
Answers
When we differentiate the function y = f(x) with respect to x, we obtain dy/dx = 10x - 6. The differential of the function is then expressed as dy = (10x - 6)dx.
Let's go through the steps in more detail:
Start with the equation y = f(x).
To find the differential, we differentiate both sides of the equation with respect to x, which gives us dy/dx on the left side and d/dx (5x^2 - 6x) on the right side.
Applying the power rule of differentiation, the derivative of 5x^2 with respect to x is 10x. The derivative of -6x with respect to x is -6.
Combining these derivatives, we get dy/dx = 10x - 6.
The differential of the function is represented as dy = (10x - 6)dx, where dx represents a small change in the x-value and dy represents the corresponding small change in the y-value.
In summary, when we differentiate the function y = f(x) with respect to x, we obtain dy/dx = 10x - 6. The differential of the function is then expressed as dy = (10x - 6)dx.
Learn more about function from
https://brainly.com/question/11624077
#SPJ11
what is -2 as a decimal.
Answers
Answer:
i think -0.02
Step-by-step explanation:
Answer:
-2.0
Step-by-step explanation:
What’s the answer to the question I’m confused
Answers
let's move like the crab, backwards, let's get hmmm EF first
\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies o=\sqrt{c^2 - a^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{17}\\ a=\stackrel{adjacent}{10}\\ o=\stackrel{opposite}{EF} \end{cases} \\\\\\ EF=\sqrt{ 17^2 - 10^2}\implies EF=\sqrt{ 189 }\implies EF\approx 13.7 \\\\[-0.35em] ~\dotfill\)
\(\sin( F )=\cfrac{\stackrel{opposite}{10}}{\underset{hypotenuse}{17}} \implies \sin^{-1}(~~\sin( F )~~) =\sin^{-1}\left( \cfrac{10}{17} \right) \\\\\\ F =\sin^{-1}\left( \cfrac{10}{17} \right)\implies F \approx 36^o \\\\[-0.35em] ~\dotfill\\\\ \cos(D )=\cfrac{\stackrel{adjacent}{10}}{\underset{hypotenuse}{17}} \implies \cos^{-1}(~~\cos( D )~~) =\cos^{-1}\left( \cfrac{10}{17} \right) \\\\\\ D =\cos^{-1}\left( \cfrac{10}{17} \right)\implies D \approx 54^o\)
Make sure your calculator is in Degree mode.
PLEASE HELP ASAP!!!!!
Answers
Answer:
Step-by-step explanation:
y=4x+1
Use the number line to add the fraction.
Drag and drop the answer into the box to match the sum
Answers
Answer:
the answer to the question is 1/8
a survey found that 22 out of 42 women voted for the proposition and 11 out of 70 men voted for the proposition. find the absolute value of the test statistic when testing the claim that the proportion of women who voted for the proposition is greater than the proportion of men who voted for the proposition
Answers
The absolute value of the test statistic is 2.18. In hypothesis testing, we compare the test statistic to critical values to determine if we can reject the null hypothesis.
To test the claim that the proportion of women who voted for the proposition is greater than the proportion of men who voted for the proposition, we can use a two-sample z-test for proportions.
First, we calculate the sample proportions for women and men. For women, the sample proportion is 22/42 = 0.52, and for men, the sample proportion is 11/70 = 0.157.
Next, we calculate the standard error of the difference in proportions. Using the formula:
SE = sqrt((p1 * (1 - p1) / n1) + (p2 * (1 - p2) / n2))
where p1 and p2 are the sample proportions, and n1 and n2 are the sample sizes, we get:
SE = sqrt((0.52 * (1 - 0.52) / 42) + (0.157 * (1 - 0.157) / 70)) = 0.094
Now, we calculate the test statistic using the formula:
test statistic = (p1 - p2) / SE
Substituting the values, we have:
test statistic = (0.52 - 0.157) / 0.094 ≈ 2.18
The absolute value of the test statistic is 2.18. In hypothesis testing, we compare the test statistic to critical values to determine if we can reject the null hypothesis. If the absolute value of the test statistic is greater than the critical value, we have evidence to support the claim. In this case, if the critical value corresponds to a desired level of significance, and it is less than 2.18, we would reject the null hypothesis and conclude that the proportion of women who voted for the proposition is indeed greater than the proportion of men who voted for the proposition.
To know more about Statistics, visit
https://brainly.com/question/15525560
#SPJ11
Given line segment AB with endpoints A(-1,7) and B(11, -1)
Find the length of AB.
Answers
Step-by-step explanation:
some to check if it correct
The length of the line segment AB is 8.48 unit.
What does length mean?The term used for identifying the size of an object or the distance from one point to another is known as length.
The length of the line segment having endpoints A (x1, y1) and B (x2, y2) can be determined using the formula,
\(AB=\sqrt{(x_{2} ^{2} -x_{1} ^{2} )+(y_{2} ^{2} - y_{1} ^{2} )}\)
Given that x1 = -1, x2= 11, y1= 7, and y2= -1.
Substituting the given values in the above equation
\(AB=\sqrt{(11^{2}-(-1)^2 )+((-1)^2-7^2)}\)
\(AB=\sqrt{72} = 8.48\)
Hence, 8.48 unit is the length of line segment AB.
To learn more about length, use the link given below:
https://brainly.com/question/8552546
#SPJ2
PLEASE HELP ASAP!
On a number line, a number, b. is located the same distance from 0 as another number, a, but in the opposite direction. The number b varies directly with the number a. For example b = 2 when a = -2¾. Which equation represents this direct variation between a and b?
1. b= -a
2. -b= -a
3. b -a=0
4. b(-a)=0
Answers
Answer:
The answer could be A
Step-by-step explanation:
Got this from another Brainly user
I need help on this please its really hard its due in thirty min
Answers
Answer:
L < 5.25yd
Step-by-step explanation:
We can think of Mrs. Klein's composting area as a rectangle, and the formula for finding the area of a rectangle is Base * Height = Area (B*H=A)
Let's just say for the sake of solving the problem that they say that area of the garden had to be exaclty 6 square feet. Because the area must be 6sqft (sqyd = square yards) then we can enter 6 into our formula.
B*H=A now equals B*H=6
They also tell us that the width (which is a stand-in for height) is \(1\frac{1}{7}\) so we can enter that in our formula as well
B*H=6 now is \(B*1\frac{1}{7} =6\) and now we just have one unknown... the B (base)
And since \(B*1\frac{1}{7} =6\) then \(6/1\frac{1}{7} =B\)
Thus,
\(6yd / 1\frac{1}{7} = 5.25yd\)
And because the question said that the area must be less then 6sqyd, then the length can be anything less then 5.25yd.
Thus,
L < 2.25
Hope that helped... Chow!
Isaac's dad built a shelf for his video games that is 42inches wide. Each video game is 6/8inches wide. How many video games can Isaac fit on the shelf?
Answers
Answer:
56
Step-by-step explanation:
to find the answer, divide 42 by 6/8
42 x 8/6 = 56
What do Total Productive Maintenance (TPM) practices ensure? Select an answer: O equipment availability is minimized
O machines do not break down so often O scheduled maintenance is not necessary O equipment downtime is maximized
Answers
Total Productive Maintenance (TPM) practices ensure D. equipment downtime is maximized
What is Total Productive Maintenance?According to TPM, operators are in charge of sanitizing, enhancing, and maintaining their workstations to guarantee quality and safety throughout production cycles. The objective of TPM is to maintain equipment in top working order to ensure that production processes go without hiccups or delays.
Through the optimization of equipment availability and performance, TPM seeks to increase overall productivity and quality. The 5S methodology, a method of workforce organization that aids in streamlining and standardizing facility procedures, is the foundation on which TPM is based.
Therefore, the correct option is D.
Learn more about maintenance on:
https://brainly.com/question/29758980
#SPJ1
what can you say about the series ∑an in each of the following cases
a) lim |(an+1)/(an)∑|=1
n→[infinity] b) lim nth root(|(an)|=2/3
n→[infinity]
c) lim |(an+1)/(an)|=0.8
n→[infinity]
d) lim |(an+1)/(an)|=3/2
n→[infinity]
e) lim |(an+1)/(an)|=3
n→[infinity]
f) lim nth root(|(an)|=1/2
n→[infinity]
Answers
In each of the cases, the series ∑an is convergent. This means that the limit of the sequence of partial sums of the series is finite.
In case a, since the limit of the ratio of consecutive terms is 1, the series is convergent and its sum is equal to the limit of the sequence of partial sums of the series.In case b, since the limit of the nth root of the absolute value of the terms is 2/3, the series is convergent and its sum is equal to the limit of the sequence of partial sums.In case c, since the limit of the ratio of consecutive terms is 0.8, the series is convergent and its sum is equal to the limit of the sequence of partial sums.In case d, since the limit of the ratio of consecutive terms is 3/2, the series is convergent and its sum is equal to the limit of the sequence of partial sums.In case e, since the limit of the ratio of consecutive terms is 3, the series is convergent and its sum is equal to the limit of the sequence of partial sums.In case f, since the limit of the nth root of the absolute value of consecutive terms is 3/2, the series is convergent and its sum is equal to the limit.Learn more about Convergent here:
https://brainly.com/question/21089324
#SPJ4
if = 0.5 hour, what is the probability that travel time will be at most 4 hours when three deliveries are made and the distance traveled is 40 miles? (round your answer to four decimal places.)
Answers
The probability that the total travel time for the three deliveries will be at most 4 hours is approximately 0.9914, rounded to four decimal places.
Assuming that travel time follows an exponential distribution with mean 0.5 hours, the probability of travel time being less than or equal to a certain value t (in hours) is given by the cumulative distribution function (CDF):
F(t) = 1 - e^(-t/0.5)
We want to get the probability that the travel time for three deliveries, each involving a distance of 40 miles, will be at most 4 hours. Let X be the travel time for one delivery. Since the three deliveries are independent, the total travel time Y for the three deliveries is the sum of three independent and identically distributed exponential random variables, each with mean 0.5 hours. That is,
Y = X1 + X2 + X3
where Xi ~ Exp(0.5) for i = 1, 2, 3.
The distribution of Y is a gamma distribution with shape parameter k = 3 and scale parameter θ = 0.5, that is,
Y ~ Gamma(3, 0.5)
The CDF of Y is:
F(y) = P(Y ≤ y) = ∫₀ʸ f(t) dt
where f(t) is the probability density function (PDF) of Y, which is:
f(t) = (1/0.5)^3 * t^2 * e^(-t/0.5) / 2!
The integral can be computed numerically or using software such as Excel, and the result is:
F(4) = P(Y ≤ 4) ≈ 0.9914
Therefore, the probability that the total travel time for the three deliveries will be at most 4 hours is approximately 0.9914, rounded to four decimal places.
Learn more about probability here, https://brainly.com/question/25839839
#SPJ11
what is 9 33/50 as a percent and decimal
Answers
Answer:
Decimal Form : 9.66
Percent Form : 966%
Step-by-step explanation:
The 9 33/50 as a percent and decimal are Decimal Form : 9.66 and Percent Form : 966%.
How to find the percentage from the total value?Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).
Thus, that thing in number is
\(\dfrac{a}{100} \times b\)
WE need to find the 9 33/50 as a percent and decimal.
Decimal Form : 9.66
Percent Form : 966%
Learn more about percent here:
https://brainly.com/question/11549320
#SPJ2
PLS ANSWER THISHEHDNDJDJ
Answers
9514 1404 393
Answer:
1/12
Step-by-step explanation:
The slope of a ramp (or anything else) is the ratio of its "rise" to its "run."
The rise is the vertical change. Here, that is shown as 3 m.
The run is the horizontal change. Here, that is shown as 36 m.
Then the slope is ...
\(\text{slope }=\dfrac{\text{rise}}{\text{run}}=\dfrac{3\text{ m}}{36\text{ m}}=\boxed{\dfrac{1}{12}}\)
__
Additional comment
If this were a line on a graph, the slope would be calculated the same way. When the rise is positive to the right, the slope is positive. On a graph, if the rise is negative as you go to the right, the slope is negative.
Your Overall grade is calculated by adding 35% of your Minor grade to 65% *of your Major grade. If your Minor grade is 84 and your Major grade is 61,what would your overall grade be (rounded to the nearest percentage)?A. 62B. 67C. 65D. 80E. 69
Answers
To determine the total grade we mutiply each one by the percentage it represents of the overall grade in decimal form and add them, that is:
\(84(0.35)+61(0.65)=69\)Therefore, the overall grade is 69
HURRY IM TIMED!!
What is the area of the regular trapezoid below?
6 cm-
8 cm
10 cm-
O 64 cm²
O 80 cm²
O 240 cm²
O480 cm²
Answers
Does this graph represent a function? Why or why not?
10.
8
6
4
2
-10 8 6 4 2
88
-8
10
2468 10
A. No, because it fails the vertical line test.
O B. No, because it is not a straight line.
OC. Yes, because it passes the horizontal line test.
OD. Yes, because it passes the vertical line test.
Answers
Answer:
D.) Yes, because it passes the vertical line test.
Step-by-step explanation:
For a function to be a function, there must be one output for every input. IN other words, there must be one "y" value for every "x" value. One can see if a graph passes this test by performing the vertical line test.
In this case, the line on the graph passes the test and represents a function. Again, this is because each "x" value has only one "y" value.
Yes, The graph is function because it passes the vertical line test.
We have to given that,
A graph of function is shown in image.
Since, A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
And, The vertical line test is used to determine if a graph of a relationship is a function or not. if you can draw any vertical line that intersects more than one point on the relationship, then it is not a function.
Hence, By given graph,
it passes the vertical line test.
So, Graph shown is a function.
Learn more about the function visit:
https://brainly.com/question/11624077
#SPJ7
Kim worked 9 hours and completed 3/4 of a project
of a project. If she continues to work at the same rate, how many more hours will she need to complete the project?
✨✨
My bad for not paying attention in class lol
Answers
Answer:
She'll need 3 more hours to complete the project
Step-by-step explanation:
Because (3/4) × (4/3) = 1, you can multiply 9 by 4/3 to find the total amount of time needed for the project. You'll get a total time of 12 hours. To find how many more hours needed you would do 12 - 9 = 3 hours
3. The triangles are similar. Find the value of x.
Answers
Answer:
yeah
Step-by-step explanation:
Answer: Is it 3?
Step-by-step explanation:
what is nominal data involved the use of variables that have been rank ordered?
Answers
Data can be divided on the basis of qualitative nature into two types as follows:
Nominal data - Nominal data is defined as a type of qualitative data where variables are grouped into categories. They do not follow any specific order. For example, people can be categorised according to their sex as male, female or transgender.Ordinal data - Ordinal data is defined as a type of data that can be divided into categories with following any kind of order, that is the data can be ranked.Thus, it is clear that nominal data can not be ranked or ordered but ordinal data are the type of qualitative data that are categorised and then ranked or ordered.
To know more about nominal and ordinal data here
https://brainly.com/question/2141495
#SPJ4
b. Write an expression equivalent to m+m+m+m that is a sum of two terms.
Type your answer in the box below.
Answers
Answer: I believe it is 4m
Step-by-step explanation:
m+m+m+m would be equivalent to 4m which is 4 times m
Step-by-step explanation:
It's like you're adding 1+1+1+1 which equals 4 so that's what I think
Emmy watson is buying a new oven for 915. 0. She made a down payment of 20% and financed the remainder. How much did she finance
Answers
Answer: Emmy Watson made a down payment of 20%, which means she paid 20% of the total cost of the oven upfront.
20% of 915.0 = 0.20 x 915.0 = 183.0
So, Emmy Watson paid $183.0 as a down payment.
To find out how much she financed, we need to subtract the down payment from the total cost of the oven:
Financed amount = Total cost - Down payment
Financed amount = $915.0 - $183.0
Financed amount = $732.0
Therefore, Emmy Watson financed $732.0.
Step-by-step explanation:
Evaluate the integral. ∫ x sec x tan x dx
Answers
The integral is ∫ x sec x tan x dx. We can solve it using integration by parts xln|sec(x) + tan(x)| - x + C
We have u = x, dv = sec(x)tan(x)dx, du = dx, and v = ln|sec(x) + tan(x)|.
The integral is then
Integrating the second part we get:
xln|sec(x) + tan(x)| - x + C
The integral is ∫ x sec x tan x dx. We can solve it using integration by parts. We let u = x and dv = sec(x)tan(x)dx. Then, du = dx and v = ln|sec(x) + tan(x)|. So, the integral becomes xln|sec(x) + tan(x)| - ∫ ln|sec(x) + tan(x)| dx. We can integrate the second part to get xln|sec(x) + tan(x)| - x + C.
Learn more about integral here
https://brainly.com/question/18125359
#SPJ4
The sampling distribution of the ratio of two independent sample variances taken from normal populations with equal variances is: a. an F distribution b. a chi-square distribution c. at distribution d. a normal distribution
Answers
The sampling distribution of the ratio of two independent sample variances taken from normal populations with equal variances is an F distribution.
This distribution is commonly used in statistical inference when comparing variances between two populations. In the second paragraph, we will provide a brief explanation of the F distribution and why it is suitable for this scenario.
The F distribution is a probability distribution that arises when comparing the variances of two populations. It is defined by two degrees of freedom: the degrees of freedom associated with the numerator and the degrees of freedom associated with the denominator. In the case of comparing sample variances, the numerator degrees of freedom are related to one sample, and the denominator degrees of freedom are related to the other sample.
In the scenario of comparing two independent sample variances taken from normal populations with equal variances, the ratio of the sample variances follows an F distribution. This is because when the populations have equal variances, the sampling distribution of the ratio of the sample variances becomes independent of the actual variances and follows the F distribution. The F distribution is asymmetric and positively skewed, with the shape of the distribution depending on the degrees of freedom.
Therefore, the correct answer is a. an F distribution.
To learn more about probability click here:
brainly.com/question/31828911
#SPJ11
32 - 5v = 3v + 8
Please answer this lol I only have 30 minutes left on my skills-
Answers
Answer:
3
Step-by-step explanation:
32 - 5v = 3v + 8
Subtract V from both sides
32 -5v = 3v + 832 -3v = -3v + 8So . .
= 32 -8v = 8
Now . .
Subtract 32 from both sides
-32 -8v = 32-8 = -24= -8v = -24Now divide to get your answer!
-24 / -8 = 3
In a short sentences please, Prove that the sum of two rational numbers is rational. THANK YOU!!!
Answers
The sum of two rational numbers is rational because the sum of any two fractions with rational numerators and denominators can be expressed as a fraction with a rational numerator and denominator.
How does this work?A rational number is any number that can be expressed as a ratio of two integers, where the denominator is not equal to zero. For example, 1/2, -3/4, 6/5, and 0 are all rational numbers.
When we add two rational numbers together, we can use the following formula:
a/b + c/d = (ad + bc) / bd
where a, b, c, and d are integers and b and d are not equal to zero.
This formula tells us that the sum of two rational numbers is also a rational number. The numerator of the sum is found by cross-multiplying the fractions, and the denominator of the sum is found by multiplying the denominators.
For example, if we want to add 1/2 and 2/3 together, we can use the formula above:
1/2 + 2/3 = (1 x 3 + 2 x 2) / (2 x 3) = 7/6
Therefore, the sum of 1/2 and 2/3 is 7/6, which is also a rational number. This formula can be used to prove that the sum of any two rational numbers is also a rational number.
#SPJ1
A rational number is a number that can be written as \(\dfrac{a}{b}\) where \(a,b\in\mathbb{Z}\) and \(b\not=0\).
If one number is \(\dfrac{a}{b}\) and the other is \(\dfrac{c}{d}\), where \(b,d\not=0\), their sum is \(\dfrac{a}{b}+\dfrac{c}{d}=\dfrac{ad+bc}{bd}\). Since the set of integers is closed under addition and multiplication, we can write that \(\dfrac{ad+bc}{bd}=\dfrac{e}{f}\) where \(e,f\in\mathbb{Z}\) and \(f\not=0\), thus proving the sum of two rational numbers is a rational number.