The proof to show that △STU≅△QUT.
Properties of congruent triangles.Congruency is a property which implies that two given shapes are equal in respect of their length of corresponding sides, and measure of their corresponding internal angles.
Thus, the proof to show that △STU≅△QUT are explained below;
<QRU ≅ <SRT (vertically opposite angle property)
QT = QR + RT
SU = SR + RU
So that;
QT ≅ SU (Reflexive property of congruent triangles)
TU ≅ UT (common side of congruent triangles)
QU ≅ ST
<SUT ≅ <QTU (Reflexive property of congruent triangles)
Therefore, it can be concluded that;
△STU≅△QUT
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Apply the distributive property and simplify. -9(x+2)=45 -9x+(__)=45
0 = 4x + 4 linear equation
Answer:
x = -1
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
0 = 4x + 4
Step 2: Solve for x
Subtract 4 on both sides: -4 = 4xDivide 4 on both sides: -1 = xRewrite: x = -1Ricardo transformed the quadratic parent
function f(x) to create g(x). After the
transformation, he noticed that the domain
and range were the same for f(x) and g(x).
Which of the following could NOT represent
g(x)?
A. g(x) = f(x + 5)
B. g(x) = f(x) + 5
C. g(x) - 5f(x)
D. g(x) = f(5x)
Write the following phrase as a variable expression. Use x to represent "a number" the sum of a number and seventeen
translation is:
Answer:
\(x+17\)
Step-by-step explanation:
Hi there!
Let \(x\) represent "the number".
The sum of a number and seventeen
⇒ \(x+17\)
I hope this helps!
please help me with it
Answer:
50
Step-by-step explanation:
bfa and afe will add up to equal 180 because they are supplementary
20x+2x+70=180
22x+70=180
22x=110
x=5
then you plug in 5 to 2x+70 to get 80
cfe and afe are also complementary so they will add up to equal 180 so angle cfe equals 100
cfd and cfe are the same angles so 100/2=50.
the arc length is the same as the angles so arc length dc is 50
A mattress store is having a sale. All mattresses are 30% off. Nate wants to know the sale
price of a mattress that is regularly $1,000.
Which table represents the situation?
Answer:
sale price is
Step-by-step explanation:
1000x 30/100
1000x0.3
$300.00
$1000-300.00
=700 sale price
Answer:
The one on the upper right (Regular Price: $1000, Sale Price: ? Discount %30)
Step-by-step explanation:
I got it right on the i-Ready quiz!
Analyze the graph below and answer the question that follows. / What is the angle of rotation from RST to R'S'T' ? Assume that the center of rotation is the origin. A. 180° clockwise B. 90° clockwise C. 90° counterclockwise D. 270° counterclockwise
Answer:
C
Step-by-step explanation:
This could be either 90° counterclockwise or 270° clockwise but the latter is not an option so the answer is C.
Answer:
d
Step-by-step explanation:
sum of 2x and 3x in algebraic expression
Caleb an investment banker sold his shares for $18,189.27 when there was a boom in the stock market. Calculate the amount he paid for the shares if his selling price was 130% of the amount he paid for the shares.
Therefore, Caleb paid approximately $14,067.90 for the shares.
Let's assume the amount Caleb paid for the shares is represented by the variable "x". According to the given information, his selling price was 130% of the amount he paid.
Selling price = 130% of the amount paid
$18,189.27 = 1.3 * x
To find the amount he paid for the shares, we can solve the equation for "x" by dividing both sides by 1.3:
x = $18,189.27 / 1.3
Calculating this, we find:
x ≈ $14,067.90
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Suppose the daily change of price of a company's stock on the stock market is a random variable with mean 0 and variance σ2. That is, if Yn represents the price of the stock on the nth day, then Yn=Yn−1+Xn,n≥1, where X1, X2, ... are independent and identically distributed random variables with mean 0 and variance σ2. If the stock's price today is $100, and σ2=1, what can you say about the probability that the stock's price will exceed $105 after 10 days?
There is a 21.5% chance that the stock's price will exceed $105 after 10 days.
How to find the probability that the stock's price will exceed?Given that the daily change of price of the company's stock has a mean of 0 and variance of 1 (σ2=1), we know that the standard deviation is σ=1. Using the formula for the mean and variance of the sum of independent random variables, we can find that the mean of the stock's price after 10 days is 0 and the variance is 10σ2=10.
To find the probability that the stock's price will exceed $105 after 10 days, we need to calculate the probability of the standardized variable being greater than (105-100)/σ√10, where σ√10 is the standard deviation of the sum of the 10 independent random variables.
Thus, the probability that the stock's price will exceed $105 after 10 days is the same as the probability that a standard normal variable Z is greater than 0.79 (=(105-100)/1√10). Using a standard normal distribution table or a calculator, we find that this probability is approximately 0.215, or 21.5%.
Therefore, we can say that there is a 21.5% chance that the stock's price will exceed $105 after 10 days.
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what is 26% of 50
aaaaaaaaaaaaaaa
Answer:
52%
Step-by-step explanation:
Divide the number 26 by the whole 50
26/50=0.52
Then multiply the result by 100. Why?-----> % is out of 100
0.52*100= 52
And add the % sign
= 52%
What value of w makes the equation 3(−4w−5)=−7(5+w) true?
4 is the value of w which makes the equation true.
What is an equation?
There are many different ways to define an equation. A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions.For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. Mathematical algebraic equations typically have one or more variables.There are three main types of equations depending on the degree. More than one variable may be present in a linear equation. An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation.A quadratic equation must have at least one variable with an exponent of 2.A third-order equation is a cubic equation. Cubic equations need the exponentiation of at least one variable.It is given that,
3(−4w−5)=−7(5+w)
by solving the equation,
-12w-15=-35-7w
12w-7w=35-15
5w=20
w=20/5
∴w=4
Hence, 4 is the value of w which makes the equation true.
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mong the positive integers less than 100100, each of whose digits is a prime number, one is selected at random. what is the probability that the selected number is prime?
The probability that a randomly selected number, among the positive integers less than 100100, whose digits are all prime numbers, is also prime is 17/1024 or approximately 0.0166.
To find the probability that a randomly selected number, among the positive integers less than 100100, whose digits are all prime numbers, is also prime, we need to determine the count of prime numbers meeting this criteria and divide it by the total count of numbers meeting the given criteria.
First, let's identify the prime digits: 2, 3, 5, and 7.
Now, we can construct the eligible numbers by considering the positions in the number. The leftmost digit can be any of the prime digits (2, 3, 5, or 7), while the remaining four digits can be any of the prime digits (2, 3, 5, or 7) as well.
Therefore, the total count of eligible numbers is 4 × 4 × 4 × 4 × 4 = 1024.
Next, we need to determine the count of prime numbers among these eligible numbers. We can check each number individually to see if it is prime.
Upon inspection, we find that the eligible numbers which are prime are: 2, 3, 5, 7, 23, 25, 27, 32, 35, 37, 52, 53, 57, 72, 73, 75, 77.
The count of these prime numbers is 17. Therefore, the probability that the selected number is prime is 17/1024, which can be simplified, if desired.
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In ΔWXY, y = 88 cm, x = 85 cm and ∠X=70°. Find all possible values of ∠Y, to the nearest 10th of a degree.
Answer:
All possible values of ∠Y are 76.6° and 103.4°
Step-by-step explanation:
In Δ WXY
∵ x is the opposite side of ∠X
∵ y is the opposite side of ∠Y
→ By using the sine rule
∴ \(\frac{x}{sin(X)}\) = \(\frac{y}{sin(Y)}\)
∵ x = 85 and y = 88
∴ m∠X = 70°
→ Substitute them in the rule above
∴ \(\frac{85}{sin(70)}\) = \(\frac{88}{sin(Y)}\)
→ By using the cross multiplication
∴ 85 × sin(Y) = 88 × sin(70)
→ Divide both sides by 85
∴ sin(Y) = 0.9728582427
∴ m∠Y = \(sin^{-1}\)(0.9728582427)
∴ m∠Y = 76.62037845
→ Round it to the nearest tenth
∴ m∠Y = 76.6°
→ The other value of ∠Y is the obtuse angle supplement of ∠Y
∴ m∠Y = 180 - 76.6
∴ m∠Y = 103.4°
∴ All possible values of ∠Y are 76.6° and 103.4°
Answer:
No Possible triangles
Step-by-step explanation:
Your bill at Applebee's is $23.92, You
would like to leave an 18% tip. How
much is the total cost including tip?
Answer: Twenty-Five Dollars
Which of the following ratios are equivalent to 20% ? 5:15 , 1:5 , 2:5 , 3:12 , 4:20
Answer:
The correct ratios are:
1:5
4:20
Step-by-step explanation:
I hope this helps! have a wonderful rest of ur day :)
and if its not too much to ask could you give me brainliest pls, im trying to rank up this month, if not then not problem! ty and let me know if you need anything else!
Answer:
1:5 4:20
Step-by-step explanation:
Because say you got 1 right out of 5 on test you get a 20%
since 20 can go into a 100 5 times if whatever number is the 1rst time it can go into 5 it is a 20 like 4:20 because 4,8,12,16,20 see that's 5 numbers and 4 is the first.
In then 1:5 is another example it can go 5 times or one more is like 10:50=20% or 15:75.
Hope this helps have a great afternoon:)
How can you use a protractor to prove that AB and DC are perpendicular?
What is the conversion of 1 hp to watts ?
To convert watts to horsepower, use the formula 1Hp = 735Watt.
Watt and horsepower are both power units.
Nevertheless, horsepower is a more potent unit of power. We measure the power of electrical instruments such as turbines, motors, and a variety of other devices using horsepower.
Hence, 1 Horsepower is 735 Watt using standard unit conversion rates.
1 Hp = 735 W
As a result, we have the conventional relationship 1Hp = 735 W. We can now simply convert any horsepower provided to the unit of Watt.
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Find the measure of each angle indicated
A) 77°
C) 74°
B) 76°
D) 82°
Answer:
76 is the correct one. So you surely go for it
180-106=74
180= 74 + 30 + x
180 - 104 = x
76 = x
Therefore B) 76 is the answer
Use the conversions given below to change 63 kg into stones.
Give your answer rounded to 1 dp.
1 kg = 2.2 pounds
1 stone = 14 pounds
Answer:
63kg x 2.2 = 138.6 pounds
138.6 pounds/14 = 9.9 stones
Step-by-step explanation:
Answer:
63kg×2.2=138.6 pounds
138.6 pounds/14=9.9
please awnser as quicck as possible correct
Answer:
y = 2x + 2
Step-by-step explanation:
Firstly find the gradient of the line using the formula;
⇒ \(m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\)
⇒ \(m = \frac{8 - 2}{3 - 0}\)
⇒ \(m = 2\)
Now substitute into the formula to find the equation of a straight line;
⇒ \(y - y_{1} = m(x - x_{1})\)
⇒ \(y - 2 = 2(x - 0)\)
⇒ \(y = 2x + 2\)
Sydney wrote the equation y+1=12(x−3).Explain her error and then write the correct equation in point-slope form. x -1 2 y 3 9
if the equation is y+=1/2 (x-3) the slope is wrong. the slope is actually 6. that was the error that Sydney made. i hope this help some of my people out:)
Step-by-step explanation:
now you got this go kill that essay:))))
for what values of b will f(x)=log b x be a decreasing function?
Answer:
Step-by-step explanation:
if prism A and B have a ratio of similarity of 6:11, what is the volume of prism B if the volume of prism A is 96 cubic units
Answer:
176cubic units
Step-by-step explanation:
a:b
6:11
a=96
6/11=96/x
6x=1056(96×11)
x=176 cubic units
What term is used to describe the problem of using variables that strongly correlate with one another in a multiple linear regression model
Multicollinearity is used to describe the problem of using variables that strongly correlate with one another in a multiple linear regression model.
Multiple linear regression refers to a statistical technique that is used to predict the outcome of a variable based on the value of two or more variables. It is sometimes known simply as multiple regression, and it is an extension of linear regression. The variable that we want to predict is known as the dependent variable, while the variables we use to predict the value of the dependent variable are known as independent or explanatory variables.
Multicollinearity, also known as collinearity, is a phenomena in statistics when one predictor variable in a multiple regression model can be linearly predicted from the others with a high level of accuracy. In this case, minor adjustments to the model or the data may cause the multiple regression's coefficient estimates to fluctuate unpredictably. Multicollinearity only impacts calculations pertaining to specific predictors; it has no impact on the predictive capability or reliability of the model as a whole, at least within the sample data set. In other words, a multivariate regression model with collinear predictors can show how well the entire set of predictors predicts the outcome variable, but it might not provide accurate information about any particular predictor or about which predictors are redundant with respect to another predictor.
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A bicycle wheel travels 321 in for each revolution. What is the radius of the wheel
Answer:
51.1 ≈ r
Step-by-step explanation:
"A bicycle wheel travels 321 in for each revolution"- means that 321 is the circumference of the wheel that is a circle.
C = 2· π· r
What is the radius of the wheel ?
321 = 2· π· r, divide both sides of the equation by 2 π
(321/2·π) = r , use calculator, solve and round the answer
51.1 ≈ r
what are the four next multiples of 1/9
Answer:
just doubling the numerator just like ,1/9, 2/9 keep going
Step-by-step explanation:
Answer:
1/9 2/9 3/9 just keep going
Francesca had 32 cups of flour. She used 2/8 of the flour for a recipe. How much flour did Francesca use? Write an equation to model your work.
Answer:
8 cups of flour
Step-by-step explanation:
If you want an equation it will be:
\(\frac{2}{8} * \frac{32}{1} = \frac{64}{8} = 8\)
So Francessa used 8 cups of flour
Write the coordinates of the vertices after a translation 4 units left.
Answer:
Step-by-step explanation:
(35)(√7) it’s for algebra 2
Answer:92.6013
Step-by-step explanation: