Answer:
Step-by-step explanation:
ggggggg
How can you use the transformations to identify corresponding parts of congruent triangles?
To identify corresponding parts of congruent triangles, you can use the transformations of translation, rotation, and reflection.
Translation involves moving a figure a certain distance in a certain direction, and all parts of the figure move the same distance in the same direction. If you translate two congruent triangles, their corresponding parts will still be corresponding.
What does a triangle represent in mathematics?The term "trigon" is occasionally (though not very frequently) used to refer to a triangle, a 3-sided polygon. Three sides and three angles, some of which may be the same, characterize every triangle.
What categories go under triangles?The term "acute triangle" refers to a triangle with all three angles being smaller than. The term "obtuse triangle" refers to a triangle with any one angle greater than. The terms "right triangle" and "right-angled triangle" both refer to triangles with at least one angle of.
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Suppose that you borrow $15,000 for 4 years at 5% toward the purchase of your car. use pmt to find the monthly payments and the total interest for the loan
The formula for the monthly loan payment is given as
\(A\text{ = }P(\frac{r(1+r)^n}{(1+r)^n-1})\)Where
P = loan amount ( initial principal) = $15000
A= Payment amount per period = ?
r = interest rate per period = (5/12) x (1/100) =0.0041667
n = total number of payments or periods = 4 years = 4 x 12 = 48 months
Substituting all these into the above equation gives
\(A\text{ =15000( }\frac{0.0041667(1+0.0041667)^{48}}{(1+0.0041667)^{48}-1})\)\(A\text{ = 15000(}\frac{0.0041667(1.0041667)^{48}}{(1.0041667)^{48}-1})\)\(\begin{gathered} A\text{ = }15000(\frac{0.0041667\text{ }\times1.2208973}{1.2208973\text{ - 1}}) \\ A=\text{ 15000(}\frac{0.005087112781}{0.2208973}) \end{gathered}\)\(\begin{gathered} A=15000(0.023029311) \\ A=\text{ \$345.4396759} \end{gathered}\)So each month he pays $345.44 to the nearest cent
B)
The total interest for the loan is given by
Total amount paid over the total period of time - Original amount borrowed
Total amount paid over the total period of time = 345.44 x 48 months = $16581.12
The total interest of the loan hence = $16,581.12 - $15,000 = $1,581.12
The total loan interest to the nearest cent = $1,581.12
Polygon ABCD with vertices at A(1, −2), B(3, −2), C(3, −4), and D(1, −4) is dilated to create polygon A′B′C′D′ with vertices at A′(4, −8), B′(12, −8), C′(12, −16), and D′(4, −16). Determine the scale factor used to create the image. one fourth one half 2 4
The scale factor used in the dilation of the polygons is (d) 4
Determining the scale factor used in the dilationFrom the question, we have the following parameters that can be used in our computation:
ABCD with vertices at A(1, -2)A'B'C'D' with vertices at A'(4, -8)The polygons are added as attachment
The scale factor is calculated as
Scale factor = A'/A
Substitute the known values in the above equation, so, we have the following representation
Scale factor = (4, -8)'/(1, -2)
Evaluate
Scale factor = 4
Hence, the scale factor is (d) 4
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Answer:
The answer to this problem is 4. The numbers are getting larger.
Step-by-step explanation:
The numbers are getting larger by 4.
For example:
A(1,-2) B(3,-2), C(3,-4), D(1,-4)
times 4
=
A'(4,-8) B'(12,-8),C'(12,-16)D'(4,-16)
Can somebody help me please
The area of figure is 272.52 square units.
The given figure consist:
A parallelogram of,
length = 12
width = 18
Since we know that,
Area of parallelogram = length x width
= 12 x 18
= 216 square units
And it consist of a semicircle of,
radius = 12/2
= 6
Since we know that,
Area of semicircle is = πr²/2
= 3.14 x 6 x 6/2
= 56.52 square units
Thus,
The area of figure is sum of both areas,
⇒ 216 + 56.52
Hence, area is
⇒ 272.52 square units
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Name: Date: 6. A biased four-sided die is rolled. The following table gives the probability of each score. Score 1 21 3 Probability 0.28 k 0.15 0.3 a. Find the value of k. (2 marks) b. Calculate the e
The expected value of the die roll is 2.47. Finding the value of kProbability is the measure of the likelihood of an event taking place. The sum of the probability of all events occurring must equal one, otherwise, the set of events would be incomplete, which is not possible.
Therefore, we have 0.28 + k + 0.15 + 0.3 = 1 where k is the probability of getting 2 on the die.Solving for k:k = 1 - 0.28 - 0.15 - 0.3k = 0.27Therefore, the value of k is 0.27. b. Calculating the expected valueThe expected value of the die roll is the sum of each score multiplied by its probability of occurrence. This is also called the mean of the probability distribution, given by: E(X) = ΣxP(x)where X is the random variable and P(x) is the probability of X being equal to x.Using the given table of probabilities:E(X) = 1(0.28) + 2(0.27) + 3(0.15) + 4(0.3)E(X) = 0.28 + 0.54 + 0.45 + 1.2E(X) = 2.47Therefore, the expected value of the die roll is 2.47.
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Antoine owes $684. He can make six monthly automatic payments with a $2.50 fee for each
payment, or he can pay using a credit card. If he uses his credit card, he will pay $30 in
interest. How much money does he save by using automatic payments?
Answer:
honestly i got 273.6 so i'm thinking that he would have to pay about 273 times........
Step-by-step explanation:
Answer:
15$
Step-by-step explanation:
Help someone!!!?!!?!?!?!
Step-by-step explanation:
Given,
b^2 - 7b - 4
Substitute b = 3 in equation ,we get
=> (4)^2 - 7(4) - 4
=> 16 - 28 - 4
=> 16 - 32
=> - 16. Ans.
Answer:
When we have b=3, we can replace 3 instead of b in the expression.
⇒b²-7b-4
Replacing b with 3
⇒(3)²-7(3)-4
As 3² is 3×3=9 and 7×3=21 we get
9-21-4
⇒-12-4
⇒-16
Thus, -16 is the final answer when b=3
Find measurement of angle PQR
The angle formed by the intersection of the tangents is as follows:
m∠PQR = 49 degrees
How to find the angle when tangent intersect?The tangent PQ and QR intersect at point Q. Therefore, the measure of the angle formed by two tangents that intersect at a point outside a circle is equal to one-half the positive difference of the measures of the intercepted arcs.
Hence, let's find the angle Q as follows;
m∠PQR = 1 / 2( m∠PSR - m∠PR)
Therefore,
m∠PSR = 360 - 131 = 229 degrees
Hence,
m∠PQR = 1 / 2 (229 - 131)
m∠PQR = 1 / 2 × 98
m∠PQR = 49 degrees
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write the ratio
14:56
in it's simplest form
Some one please help me !!!
Answer:
= 1 : 4
Step-by-step explanation:
14 : 56 in it's simplest form
= 14 / 56
= 1/4
= 1 : 4
14 : 56 = 1 : 4
Therefore, 14 : 56 in it's simplest form is 1 : 4
A scatterplot of student height, in inches, versus corresponding arm span length, in inches, is shown below. One of the points in the graph is labeled a.
The variables on the horizontal and vertical axes of a scatter plot are always continuous.Corresponding: When two sets of data are plotted on a scatter plot, each data point in the two sets has a corresponding point in the other set.
When you plot two sets of data on a scatter plot, you should use different colors or symbols for the data points from each set.The horizontal axis represents one variable while the vertical axis represents the other. Each point on the graph represents one set of data that corresponds to both variables, with the x-value and y-value corresponding to the respective data points being plotted.Scatterplot versus: A scatter plot has two axes that correspond to two variables. In a scatter plot, we can determine how one variable changes as the other variable changes. The variables on the horizontal and vertical axes of a scatter plot are always continuous.Corresponding: When two sets of data are plotted on a scatter plot, each data point in the two sets has a corresponding point in the other set. When you plot two sets of data on a scatter plot, you should use different colors or symbols for the data points from each set.
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If M is the midpoint of segment AB, and AM = x+3 and AB = 3x-4, determine the length of segment AB.
Answer:
AB=2AM
3x-4=2(x+3)
3x-4=2x+6
3x-2x=4+6
x=10
So length AB 3x-4=3(10)-4
30-4=26
The length of AB is 26 units.
What is a line segment ?A line segment is denoted by two endpoints.
According to the given question M is the midpoint of segment AB.
Given, AM = x + 3 and AB = 3x - 4.
As AM is the midpoint if we take twice of AM that will be equal to AB.
∴ 2(AM) = AB
2(x+3) = 3x - 4.
2x + 6 = 3x - 4.
2x - 3x = -4 - 6.
-x = - 10.
x = 10.
So the length of the line segment AB will be (3x - 4) = 3(10) - 4 units.
= 30 - 4
= 26 units.
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2.
A line passes through the point (5, 1) and is parallel to the line with equation y = 5x + 10
2a
What is the slope of this line?
U
Н.
Slope =
Enter your next step here
If
HI
a 뭉
А
25
Answer:
Slope is 5
Step-by-step explanation:
if line is parallel to 5x + 10
then the slope has to be equal
y= mx+ b
m = 5
A can has a diameter of 4 inches and a height of 5 inches. How much applesauce will the can hold if 1 cubic-inch weighs 1.5 ounces? How much paper is needed for the label?
The volume of the can can be calculated using the formula for the volume of a cylinder, which is V = πr^2h, where r is the radius (half of the diameter) and h is the height. In this case, the radius is 2 inches, so the volume of the can is V = π(2)^2(5) = 20π cubic inches.
If 1 cubic inch of applesauce weighs 1.5 ounces, then the weight of the applesauce in the can can be found by multiplying the volume of the can by the weight of 1 cubic inch of applesauce:
20π cubic inches x 1.5 ounces/cubic inch = 30π ounces
So the can can hold approximately 30π ounces of applesauce.
As for the label, we would need to know the dimensions of the label to calculate how much paper is needed.
To determine the volume of the can, we need to use the formula for the volume of a cylinder: V = πr²h, where r is the radius and h is the height. Since the diameter is 4 inches, the radius is 2 inches (half of the diameter).
So, V = π(2²)(5) = π(4)(5) = 20π cubic inches.
Since 1 cubic-inch of applesauce weighs 1.5 ounces, the total weight of the applesauce is: 20π cubic inches × 1.5 ounces per cubic-inch = 30π ounces.
To find the amount of paper needed for the label, we need to find the lateral surface area of the cylinder, which is given by the formula A = 2πrh.
A = 2π(2)(5) = 20π square inches.
So, the can can hold 30π ounces of applesauce and requires 20π square inches of paper for the label.
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Determine whether the binomial (x-4) is a factor of the polynomial p(x) = 5x³ - 20x² - 5x+ 20-
Step-by-step explanation:
IF x-4 is a factor, then putting in x = + 4 will make the polynomial = 0
5 ( 4^3) - 20 (4^2) - 5(4) + 20 = 0 Yes...it is a factor
\(x - 4 = 0 \\ x = 4 \\ \)
substitute value of x in the function to see if it equals to zero , if not it won't be a factor of the function
\(5 {x}^{3} - 20 {x}^{2} - 5x + 20 = 0 \\ 5(4) ^{3} - 20( {4})^{2} - 5(4) + 20 = 0 \\ 5(64) - 20(16) - 20 + 20 = 0 \\ 320 - 320 - 20 + 20 = 0 \\ 0 = 0\)
so (x-4) is a factor for the function
According to Weber's law, two items must differ in weight by ______ percent of weight in order to detect a difference.
A. 5%
B. 10%
C. 20%
D. 50%
According to Weber's law, two items must differ in weight by "5 percent"of weight in order to detect a difference.
We are given that Weber's law
For weight discrimination, Weber’s law states that the JND is proportional to the weight of the stimulus.
The JND is defined as the smallest difference between two weights that can be detected by an observer.
The proportionality constant is known as Weber’s fraction and varies depending on the type of stimulus and the sensory modality involved.
For weight discrimination, Weber’s fraction is typically around 2-3%.
This means that two items must differ in weight by approximately 2-3% of their weight in order to detect a difference.
The difference of weight in percent is 5%, the correct option is A.
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A bouncy ball is dropped such that the height of its first bounce is 4.5 feet and each successive bounce is 73% of the previous bounce's height. What would be the height of the 10th bounce of the ball? Round to the nearest tenth (if necessary).
The height of the 10th bounce of the ball will be 0.6 feet.
What is geometric sequence?A geometric sequence is a sequence in which each term is found by multiplying the preceding term by the same value.
What is the formula for finding the nth term of geometric sequence?The nth term of the geometric sequence is given by
\(\sf T_n=ar^{n-1}\)
Where,
\(\sf T_n\) is the nth term.r is the common ratioa is the first termAccording to the given question.
During the first bounce, height of the ball from the ground, a = 4.5 feet
And, the each successive bounce is 73% of the previous bounce's height.
So,
During the second bounce, the height of ball from the ground
\(\sf = 73\% \ of \ 10\)
\(=\dfrac{73}{100}(10)\)
\(\sf = 0.73 \times 10\)
\(\sf = 7.3 \ feet\)
During the third bounce, the height of ball from the ground
\(\sf = 73\% \ of \ 7.3\)
\(=\dfrac{73}{100}(7.3)\)
\(\sf = 5.33 \ feet\)
Like this we will obtain a geometric sequence 7.3, 5.33, 3.11, 2.23,...
And the common ratio of the geometric sequence is 0.73
Therefore,
The sixth term of the geometric sequence is given by
\(\sf T_{10}=10(0.73)^{10-1\)
\(\sf T_{10}=10(0.73)^{9\)
\(\sf T_{10}=10(0.059)\)
\(\sf T_{10}=0.59\thickapprox0.6 \ feet\)
Hence, the height of the 10th bounce of the ball will be 0.6 feet.
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HELP PLEASE. :) I NEED HELP
Answer:
I think it’s 80
Step-by-step explanation:
Because it’s the same side just a different angle if it makes sense
f(2)if f(x)=2x-5 plz answer
Answer:
-1
you use the given functions to set up and simplify f(2)
if you double its height of a cylinder what is double the surface area of a cylinder? explain using words or an example
If the height of a cylinder is doubled the surface area will not be doubled.
What is surface area of cylinder?A cylinder is a three-dimensional shape consisting of two parallel circular bases, joined by a curved surface.
The surface area of a cylinder is expressed by;
A = 2πr(r+h)
Where r is the radius and h is the height.
This means that the surface area of a cylinder is affected both radius and height of the cylinder.
This means that if the height is doubled, the surface area will not be automatically doubled because radius has more effect than the height.
Therefore if height is doubled, the surface area is not necessarily doubled
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PLS help me with this question!!
Thank u and i will put a brainlest crown on somebody that answers this right
\(128^3+272^3 /128^2-128*272+272^2\)
wait do you want it step by step or just the answer?
the answer is 400
Which proportion can we use to solve for U?During a given year, a hospital uses 258 units of blood per week to take care of 86 patients. The hospital has expanded and will be able to take care of a greater number of patients. The hospital administrator expects that they will now have 215 patients per week that will need blood.How many units of blood will the hospital need to have on hand to take care of the increased number of patients?U = the name of units of blood needed for 215 patients
Answer:
I know u probably already got it! But just in case this was my answer.
Step-by-step explanation:Your answer would be C i got it right!
Answer:
Answer is C!
Step-by-step explanation:
I just got it right!!!
What is the similarity ratio of QRST to YVWX?
Answer:
Step-by-I’ll helpstep explanation:
Answer:
2
Step-by-step explanation:
Since the figures are similar then the ratios of corresponding sides are equal.
QRST → YVWX ← shows the corresponding sides , then
similarity ratio = \(\frac{WX}{ST}\) = \(\frac{4}{2}\) = 2
A map scale uses 5cm to mean 29 miles.
How many cm on the map represents 87 miles?
Of the houses in Lucia's neighborhood, 1/10 are teal and another 7/10 are red. What
fraction of the houses are either teal or red?
(D) Write your answer as a fraction or as a whole or mixed number.
Answer:
the answer is 8/10
Step-by-step explanation:
The reason is that both of the denominators are the same so that you can add the two numerators and then get the answer.
Write an algebraic expression that represents each verbal expression: 6 times a number plus 3
\(\huge \text{Hello there! :)}\)
Answer:
The algebraic expression is as followed:
➛ \(\huge \text{6(n+3)}\)Step-by-step explanation:
Given the following question:
➛ 6 × a number➛6 × n➛plus 3 ➛ equals6(n+3)what is a algebraic expression?It's an equation built up by integers, variables, and many different operations like addition and subtraction.In this case 6 and 3 are the integersn is the variable6 times and + 3 are the operationsAll form together to make a algebraic expression.Hope this Helps! :)If you have any doubts about my answer please let me know.
\(-Nature-\)
\(\huge \text{Thanks for choosing Brainly! :)}\)
What is 9x - 3(4x+8)?
Answer:
-3x-24
Step-by-step explanation:
9x - 3(4x+8)
Distribute
9x - 12x - 24
Combine like terms
-3x -24
Answer: -3x-24
Step-by-step explanation:
a punch recipe calls for 1 1/2 quarts of sparkling water and 3/4 of a quart of grape juice. how much of each ingredient would you need to make 75 quarts of punch?
50 quarts of sparking water and 25 quarts of grape juice are needed for 75 quarts of punch.
What are ratios and proportions?An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. The numerical relationship between two values demonstrates how frequently one value contains or is contained within another.
Given that a punch recipe calls for 1(¹/₂) quart of sparkling water and 3/4 of a quart of grape juice.
The ratio of sparkling water to grape juice is,
1(¹/₂) : (3/4 quarts) = (3/2) : (3/4) = 2 : 1
The amount sparkling water in the total volume is 2 : (2+1) = 2/3 of the total volume. For a volume of 100 quarts, the sparkling water content is
2/3 · 75quarts = 50 quarts
Then the grape juice content is,
1/3 · 75 quarts = 25 quarts
Therefore, 50 quarts of sparking water and 25 quarts of grape juice are needed for 75 quarts of punch.
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16]
Use the two-way frequency table to complete the row relative frequency table. Drag the numbers into the boxes.
Sandwich Pasta
Volleyball
19
15
Swimming 26
10
Total
45
25
28 36 64
Lunch Order
Volleyball
Sport Swimming
Total
72 100
Sandwich
56%
%
%
Total
34
36
70
Lunch Order
Pasta
44%
%6
196
Total
100%
100%
The relative frequency is solved and the table of values is plotted
Given data ,
The lunch order is given by the 2 sets of dishes as
A = { Sandwich , Pastas }
Now , the sports activities are given by 2 sets as
B = { Volleyball , Swimming }
From the table of values , we get
The relative frequency is solved as
Relative Frequency = Subgroup frequency / Total frequency
The percentage of Swimming ( sandwich ) = 26/36
Swimming ( sandwich ) = 72 %
And , the percentage of Swimming ( pasta ) = 10/36
Swimming ( pasta ) = 28 %
Now , the percentage of total sandwich = 45/70 = 64 %
And , the percentage of total pasta = 25/70 = 36 %
Hence , the relative frequency is solved
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This is a very hard math question. Whoever answers correctly will get a brainlist too! Find the value of b. Then find the angle measures of the pentagon.
Answer:
Below
Step-by-step explanation:
The sum of the 5 angles is 540°
● b+(b+45)+90+(2b-90)+(3/2)b = 540
3/2 is 1.5
● b+b+45+90+2b-90+1.5b = 540
● 2b +45+2b+1.5b = 540
● 5.5 b +45 = 540
● 5.5b = 495
● b = 495/5.5
● b = 90°
Answer:
b = 90
Step-by-step explanation:
b + (b + 45) + 90 + (2b - 90) + (3/2)b = 540
b + b + 45 + 90 + 2b - 90 + (3/2)b - 90 = 540 - 90
b + b + 45 + 2b - 90 + (3/2)b = 450
2b + 2b + (45 * 2) + (2 *2b) - (90 * 2) + (2 * (3/2)b) = 450 * 2
2b + 2b + 90 + 4b - 180 + 3b = 900
11b - 90 = 900
11b - 90 + 90 = 900 + 90
11b = 990
b = 990 / 11
b = 90
check:
b + (b + 45) + 90 + (2b - 90) + (3/2)b = 540
90 + (90 + 45) + 90 + (2*90 - 90) + (3/2)*90 = 540
90 + 135 + 90 + 90 + 135 = 540
540 = 540 --- OK