Yes, students are correct. By AA similarity criterion, triangle XBY and triangle ABC are similar.
Given that, line XY is parallel to line segment AC.
Consider triangle XBY and triangle ABC,
∠X=∠A (Corresponding angles are equal)
∠Y=∠C (Corresponding angles are equal)
By AA similarity, triangle XBY and triangle ABC are similar.
Yes, students are correct. By AA similarity criterion, triangle XBY and triangle ABC are similar.
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HELPPPP PLSSSSS!!!!! I NEED HELP ASAP
The estimated cost of sending a letter that weighs 5 ounces is $9.75.
What is estimated cost ?
Estimated cost refers to an approximate or calculated value of the cost of something. It is a value that is based on estimation, rather than being an exact or precise value.
Since the equation given is a linear equation with a slope of 0.25, we can interpret the slope as the cost per ounce of postage. This means that for every additional ounce, the cost of postage increases by $0.25.
To estimate the cost of sending a letter that weighs 5 ounces, we can use the given equation:
y = 0.25x + 8.50
where x = 5 (since the weight of the letter is 5 ounces).
Plugging in x = 5, we get:
y = 0.25(5) + 8.50
= 1.25 + 8.50
= 9.75
So the estimated cost of sending a letter that weighs 5 ounces is $9.75.
Looking at the graph provided, we can also see that the point (5, 9.75) lies on the line, which confirms our estimate.
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The equation y = 400x represents the relationship between x, the time that a plane flies in hours, and y, the distance the plane flies in miles for Plane A. The table represents the relationship for Plane B. Find the slope of the graph for each plane and the plane's rate of speed. Determine which plane is flying at a faster rate of speed.
The slope of line is 400 and plane A's rate of speed is 400 mi/h
The slope of line is 475 and plane B's rate of speed is 475 mi/h
Therefore, Plane B is flying faster.
For Plane A the equation y = 400x represents the relationship between x, the time that a plane flies in hours, and y, the distance the plane flies in miles.
We know the equation of line is y =mx + c
m = slope of line
So, on comparing slope of line is 400 and plane A's rate of speed is 400 mi/h
For Plane B
We know the formula for slope = (y₂-y1)/(x₂ - x₁)
= (950 - 475)/(2 - 1)
= 475
So, slope of line is 475 and plane B's rate of speed is 475 mi/h
Therefore, Plane B is flying faster.
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Can someone help This is due today. Thank you!
(a) The amount of square feet of laminate flooring Samantha need to purchase for her kitchen is 268 ft².
(b) The amount of linear trim of feet Samantha need to purchase for her kitchen 80 ft.
What is a perimeter?Perimeter is the total distance around an plane figure.
(a) To calculate the amount of square feet for laminate flooring, she needed to purchase for her kitchen, we use the formula below.
Formula:
A = LW+lw..................... Equation 1Where:
A = Amount of square feet of laminateL = Length of the bigger rectangleW = Width of the bigger rectanglel = Length of the smaller rectanglew = Width of the smaller rectangleFrom the question,
Given:
L = 20 ftW = 9 ftl = 8 ftw = 11 ftSubstitute these values into equation 1
A = (20×9)+(8×11)A = 180+88A = 268 ft²(b) To calculate the amount of the linear trim of feet needed, we find the Perimeter of the shape
Perimeter = 20+20+9+12+11+8Perimeter = 80 ftHence, The amount of linear trim of feet is 80 ft.
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Find the volume of this sphere. Use 3 for TT. 14 ft V≈ [?]ft³ V = πr³
The volume of this sphere is 10976 feet³
What is the volume of a sphere?It is crucial that we know that the formula that used in calculating the volume of a sphere is expressed with the equation;
V = 4/3 πr3
Given that the parameters in the formula are;
V is the volume of the sphereπ takes the constant value of 3r is the radius of the sphereFrom the given information,
we have that;
Radius = 14 feet
Substitute the values, we have;
Volume = 4/3 × 3.4×14³
Find the cube values, we get;
Volume = 4/3 × 3 × 2744
Multiply the values
Volume = 10976 feet³
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9/15
of this figure is shaded.
Select the three figures that represent fractions equivalent to 9/15
Answer:
Step-by-step explanation:
One of the figures would be 3/5
Another 18/30
or 27/45
Given the matrices.
A = [3 2 1] B= 2 2 3 3
2 B = 2 2 0
2 3 3 4
Find
1. AB
2. CA
Answer:
To perform the matrix operations, we need to ensure that the dimensions of the matrices match. For matrix multiplication, the number of columns in the first matrix must be equal to the number of rows in the second matrix.
A is a row matrix with 1 row and 3 columns, while B is a matrix with 2 rows and 2 columns. Since the number of columns in A does not match the number of rows in B, we cannot calculate AB.
However, we can perform CA since C has 3 rows and 2 columns, which matches the dimensions for left multiplication by A (a 1x3 matrix).
C = 2 2 0
2 3 3
4 0 1
A = 3 2 1
CA = (3)(2) + (2)(2) + (1)(4) (3)(2) + (2)(3) + (1)(0)
(3)(2) + (2)(3) + (1)(0) (3)(2) + (2)(0) + (1)(1)
(3)(0) + (2)(3) + (1)(1) (3)(0) + (2)(3) + (1)(1)
CA = 14 12
12 7
7 9
Therefore, CA = 14 12
12 7
7 9
Solve this plsss
Solve for b
Solve for c
Solve for B
The unknown measurements for the triangle are given as follows:
b = 9.6.c = 3.3. m < B = 38º.What is the law of sines?Suppose we have a triangle in which:
Side with a length of a is opposite to angle A.Side with a length of b is opposite to angle B.Side with a length of c is opposite to angle C.The lengths and the sine of the angles are related as follows:
[tex]\frac{\sin{A}}{a} = \frac{\sin{B}}{b} = \frac{\sin{C}}{c}[/tex]
Considering that the sum of the measures of the angles is of 180º, the missing angle is given as follows:
m < B = 180 - (130 + 12)
m < B = 38º.
Then the relation is given as follows:
sin(130º)/12 = sin(38º)/b = sin(12º)/c
Then the length b is given as follows:
sin(130º)/12 = sin(38º)/b
b = 12 x sine of 38 degrees/sine of 130 degrees
b = 9.6.
The length c is then given as follows:
sin(130º)/12 = sin(12º)/c
c = 12 x sine of 12 degrees/sine of 130 degrees
c = 3.3.
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The table represents a quadratic function C(t).
t C(t)
−2 1
−1 4
0 5
1 4
2 1
What is the equation of C(t)?
C(t) = −(x − 5)2
C(t) = (x − 5)2
C(t) = −x2 + 5
C(t) = x2 + 5
g(x) = (x − 4)2 − 3
g(x) = (x − 4)2 + 3
g(x) = (x + 4)2 − 3
g(x) = (x + 4)2 + 3
From the given table, the equation of C(t) is - t² + 5. that is option C
How to determine the equation of the parabola?The standard form is (x - h)² = 4p (y - k), where the focus is (h, k + p) and the directrix is y = k - p.
Let the point (h, k) be the vertex of the parabola and a be the leading coefficient.
Then the equation of the parabola will be given as,
y = a(x - h)² + k
The table represents a quadratic function C(t).
t C(t)
−2 1
−1 4
0 5
1 4
2 1
From the table, the coordinate of the vertex will be at (0, 5). Then the equation is given as,
C(t) = a(t - 0)² + 5
C(t) = at² + 5
The equation is passing through the point (1, 4), then we have
4 = a (1²) + 5
4 = a + 5
a = - 1
The equation that presents the table will be C(t) = - t² + 5. Then the correct option is C.
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2. If you know the correlation coefficient between two tests is +.79, you expect a person who gets a
high score on one of the tests to get a _____score on the other test.
Answer:
"high" should go in the blank. A correlation coefficient of .79 indicates a pretty strong positive correlation.
For a confidence level of 80% with a sample size of 11, find the critical t value.
Answer:
To find the critical t-value for a confidence level of 80% with a sample size of 11, we need to consult a t-distribution table or use a statistical software.
Using a t-distribution table with 10 degrees of freedom (sample size - 1), we can find the critical t-value for a two-tailed test at a confidence level of 80%.
From the table, we find that the critical t-value is approximately 1.363.
Therefore, the critical t-value for a confidence level of 80% with a sample size of 11 is approximately 1.363.
Step-by-step explanation:
jew
4. A spinner is divided into four colored sections. that are not of equal size: red blue purple and orange. The arrow on the spinner is spun several times. SPINNER RESULTS Color Number of Times Red 15 Blue 24 Purple Orange 12 B. 9 The arrow on the spinner will be spun one more time. Based on these results, what is the probability that the arrow will land on the purple section? C. 27 D. 1/2
2c – 4 = 3(4 – 2c) c = –4a + 9 = –2(4 + 5a) – 7 a =
Answer:
c=7/2, a = 5/34
Step-by-step explanation:
Which pair has 2 equivalent expressions?
A. 7g +3, g + g + 5g + 2 + 1
B. 3p + 2, 3p + 1 + 1 + 1
C. 6v - 2, 3v + 3v - 3
D. 4z + 2z, 4 + 2 + 2z
The following display from a TI-84 Plus calculator presents the results of a hypothesis test for a population mean μ.
μ < 40 t = -0.483735 p = 0.315322 overbar(x) = 39.86 Sx = 2.08700 n = 52
What is the value of s?
Question 8 options:
2.08700
39.86
0.315322
-0.483735
The value of standard deviation 's' is 2.08700, as indicated in the display.
What is standard deviation?Standard deviation is a measurement of how evenly distributed a set of numbers is. Since the variance is the average of the squared deviations from the mean, it is the square root of the variance.
The value of s is 2.08700, as indicated in the display.
The symbol "Sx" represents the sample standard deviation, which is commonly denoted as "s". The other values in the display are:
t = -0.483735: the t-statistic for the hypothesis testp = 0.315322: the p-value for the hypothesis testoverbar(x) = 39.86: the sample meann = 52: the sample sizeSo, the correct answer is 2.08700.
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answerrrrrrrrrrr teh questionnnnnnnn
The linear function with a slope of 1/2 and passing through the point (4, -2) is given as follows:
y = x/2 - 4.
How to define a linear function?The slope-intercept representation of a linear function is given by the equation shown as follows:
y = mx + b
The coefficients m and b have the meaning presented as follows:
m is the slope of the function, representing the increase/decrease in the output variable y when the input variable x is increased by one.b is the y-intercept of the function, representing the numeric value of the function when the input variable x has a value of 0. On a graph, it is the value of y when the graph of the function crosses or touches the y-axis.The gradient of the function is given as follows:
m = 1/2.
Hence:
y = x/2 + b.
When x = 4, y = -2, hence the intercept b is obtained as follows:
-2 = 4/2 + b
2 + b = -2
b = -4.
Hence the equation is:
y = x/2 - 4.
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Does anyone know this answer??
Step-by-step explanation:
This question uses trigonometry, a subject you may have learnt. Using the functions sin, cos, tan and the abbreviation SOHCAHTOA, you'll need to use sin to find your answer.
sin = opposite/hypotenuse
sin 25 = 112/d
d = 112/sin 25
d = 238.5661004
Answer: 238.6 metres
18. Floyd decides to invest $1,000,000 in a 20-year annuity that earns 4.6% APR
compounded monthly. How much money will Floyd be paid each month from this annuity?
The amount that Floyd will be paid each month from this annuity is $6,374.83 each month.
How do we determine the monthly payment?To calculate the monthly payments from a 20-year annuity with an initial investment of $1,000,000 at an APR of 4.6% compounded monthly, we can use the formula for calculating the monthly payment of an ordinary annuity: Monthly Payment = P * r * (1 + r)^n / ((1 + r)^n - 1)
Data
P = $1,000,000)
r = 4.6% / 12 / 100 = 0.00383
n = = 20 * 12 = 240
Plugging in the values. The monthly payment will be:
= $1,000,000 * 0.00383 * (1 + 0.00383)^240 / ((1 + 0.00383)^240 - 1)
= $1,000,000 * 0.00383 * 1.66538674279
= $6,378.43122
= $6,378.43
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Mary is traveling cross country on a road trip. So far, Mary has traveled 200 miles in her car and 200 miles by train. The car traveled at a rate that was 30 miles per hour slower than the train.
Mary modeled the total time for her trip with the following expression.
What does x - 30 represent in this situation?
Answer:
The answer to your problem is, x-30 is speed of the car.
Step-by-step explanation:
Let the object is moving n miles in one hour.
Let the speed is m miles per hour.
We know that our friend Mary has traveled 200 miles in her car and 200 miles by train. And shown Mary also modeled the total time for her trip;
[tex]\frac{200}{x}[/tex] + [tex]\frac{200}{x-30}[/tex]
The car that was given had traveled at a rate that was 30 miles per hour slower than the train.
speed of the train is x miles per hour
speed of the car = x - 30 miles per hour.
Thus the answer to your problem is, x-30 is speed of the car.
At how many points does the graph of the function below intersect the x-axis y=9x^2-12x+4
The graph of the function below y = 9x² - 12x + 4 intersect the x-axis at exactly one point (0.667, 0).
What is the x-intercept?In Mathematics and Geometry, the x-intercept is the point at which the graph of a function crosses the x-coordinate (x-axis) and the value of "y" or y-value is equal to zero (0).
In this exercise, we would use an online graphing calculator to plot the quadratic equation in order to determine the x-intercepts as shown in the graph attached below.
Therefore, the x-intercept of the graph of the given quadratic equation y = 9x² - 12x + 4 include the following:
x = (0.667, 0).
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Find P(A')) if P(A) =0.64
If P(A) is 0.64, then P(A') is 0.36. P(A) is probability of occurrence of event A.
This question pertains to Probability principles. Probability is a measure of the possibility of an event occurring. Many occurrences cannot be foreseen with absolute accuracy. We can only anticipate the likelihood of an event occurring using it.
A is an occurrence in this context. A' denotes the event's complement.
For example, if Event A is getting heads on a coin toss, then Event A' is getting tails.
This demonstrates one thing:
A ∪ A' = U, here U is the universal set.
P ( U) = 1
P (A) + P(A') = 1
0.64 + P (A') = 1
P(A') = 1 - 0.64
P (A') = 0.36
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Calculate the area of the red triangle to find the area of the garden. Show your work. (2 points)
Using a metric standard of 2 meters, then the area of the red triangle would be 54m². The area of the garden would be; 500m²
Using typical walkway widths to 6 ft, to calculate the area the red triangle to be 486 square feet and the area of the garden to be about 4400 square feet, rounding up.
Then it is a right triangle and side a is the altitude or height of the triangle and side b is the base.
The measurements of the triangle are approximately in the proportion of 3, 4, 5, a typical "Pythagorean Triple" right triangle.
Estimating from rough measurements of the triangle and the dimensions of the garden as shown, the area of the garden is about 18 times the area of the red triangle.
The area of the triangle is half the area of a rectangle with the same side lengths a & b, therefore, 9 ab is a good estimate of the area of the garden.
Area of the triangle estimate:
A = 36ft × 27ft /2
A = 486 square feet
To estimate 2 meter wide sidewalk, the area of the triangle can be reasonably calculated to be;
A = 9m × 12m /2 = 54 m²
The area of the garden = 9 × 54 = 486m²
Then rounded reasonably to 500m²
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O is the center of the regular octagon below. Find its area. Round to the nearest tenth if necessary.
Answer:
Step-by-step explanation:
Rounding to the nearest tenth, the area of the regular octagon is approximately 282.8
Plot 2 1/2 and 1 5/6 on the number line below.
Between each of the integers, 0, 1, 2, 3, etc., the space is divided into 6 units. We can use this to our advantage.
Since 1/2 = 2/4 = 5/10 = 3/6 = ....., thus:
2 1/2 = 2 3/6. Now we can easily plot points on the number line.
2 3/6 = 2 units and 3 sub units.
1 5/6 = 1 unit and 5 sub units
Check the attached image to see the graphical solution of the question!
Hope that helps!
match the base and the height
The key point to remember is
The height is perpendicular to the base
if i was helpful Brainliests my answer ^_^
The number of hours a student spent studying each week for 9 weeks is shown.
5, 9.5, 3, 12, 6, 8, 4.5, 10, 6.5
What is the value of the range for this set of data?
3
6.5
9
12
Answer:
Step-by-step explanation:
Range is largest value - smallest value. 12-3=9! EZ
I don't really get this so this is a big help
Answer:
what is the problem
Step-by-step explanation:
Choose the correct measurement of the paper clip to the nearest inch.
1 2/8 inch
1 4/8 inch
1 1/2 inch
1 3/8 inch
7/8 inch
The correct measurement of the paper clip to the nearest inch is 1 inch.
Suppose that (1)=−2 , f(4)=5, f'(1)=4 , f'(4)=-7 and f'' is continuous.
Find the value of ∫41″().
Answer:
integrates by parts:
U = x dV = f''
dU = dx V = f'
The integral becomes:
x f' - integral f' dx
= x f' - f
limit as x->4 : 4 * f'(4) - f(4) = 4 * -3 - 7
= -12-7 = -19
limit as x->1 : 1 * f'(1) - f(1) = 1 * 9 - 8 = 1
subtracting: -19-1 = -20
Step-by-step explanation:
For questions 23, use a Venn diagram or truth table or common form of an argument to decide whether each argument is valid or invalid.
23. If a person is on this reality show, they must be self-absorbed. Laura is not self-absorbed. Therefore, Laura cannot be on this reality show.
In the Venn diagram , the statement is Valid.
What is Venn diagram?
Venn diagrams are frequently used in mathematics, statistics, logic, teaching, linguistics, computer science, and business. They are also known as Set diagrams or Logic diagrams.
Here according to the Venn diagram , if person is on the reality show , they must be self absorbed. But Laure is not self absorbed so she cannot be on the reality show.
Hence the statement is valid.
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what is the ss total if ss is between 164 and within 70.2
The value of ss total while ss between is 164 and ss within is 70.2 is given by 234.2.
We know that the sum of square in total is equal to the sum of sum of square in between and sum of squares within.
In mathematical word, ss (total) = ss (between) + ss (within)
Here given that the ss (between) is given by = 164
and ss (within) is given by = 70.2
So the ss(total) is given by,
ss(total) = ss(between) + ss(within) = 164 + 70.2 = 234.2.
Hence the required value of ss total is 234.2.
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