The second row's third box AC = AC ( common side ) ( common side ) box last. Therefore, by applying the ABCD ASA congruence axiom.
What is triangle ?Three sides, three angles, and three vertices make up the closed, two-dimensional shape of a triangle. Polygons include triangles. Triangle ABC is depicted in the above figure. Triangular polygons in geometry are those with three sides and three vertices. There are three straight sides to this two-dimensional figure. Three-sided polygons include triangles. A triangle's three angles add up to a full 180 degrees. A single plane contains the triangle. Triangulus, which means "three-cornered" or "having three angles," is a Latin word with roots in tri-, "three," and angulus, "angle or corner."
given
AB||DC , BC||AD
To show that
ΔABC≅ ΔCDA
First box
AB || DC (given )
below box to the first box
∠BAC = ∠DCA ( parallel lies cut by the transverse form congruent alternate interior angles )
Second box
BC||AD ( given )
Below box to the second box
∠DAC = ∠BCA ( parallel lies cut by the transversal form congruent alternate interior angles )
Third box in the second row
AC = AC ( common side )
Last box
So by using ASA congruence axiom
ΔABC ≅ΔCDA
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What is the GCF of 20x^76 and 8x^92
The GCF of the given expressions is 4x⁷⁶
What is the greatest common factor?The greatest common factor, abbreviated as GCF, of two numbers is the largest number that is a factor of, or divides evenly into, both of the numbers. When two numbers are relatively small, we have a quick and simple way to calculate their greatest common factor. We do this by listing all of the factors of each number, and then identifying the largest number that is in both lists.
Given here, The expressions 20x⁷⁶ and 8x⁹² and GCF(20,8)=4
and x⁷⁶ is a factor of 8x⁹²
∴ GCF(20x⁷⁶ , 8x⁹²) =4x⁷⁶
Hence, The GCF of the given expressions is 4x⁷⁶
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Find the Dy/Dx of y=7/x using first principle
By using first principle, the value of Dy/Dx is,
⇒ Dy/Dx = - 7 / x²
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
The expression is,
⇒ y = 7 / x
Now, Differentiate the function with respect to x, we get;
⇒ y = 7 / x
⇒ Dy/ Dx = D / Dx (7 / x)
= 7 D/Dx (1/x)
= 7 (- 1 × x⁻¹⁻¹ )
= 7 (- x⁻²)
= - 7 / x²
⇒ Dy/Dx = - 7 / x²
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Sasha performs an experiment. She chooses one marble from each of three sacks. The first sack has black (B) and white (W) marbles. The
second sack has green (G) and yellow () marbles. The third sack has silver (S) and red (R) marbles.
Which tree diagram shows all the possible outcomes for this experiment?
Ос.
OB
OD
Answer:
Option D is correct
Step-by-step explanation:
From the question, we have:
[tex]Sack\ 1: B, W[/tex]
[tex]Sack\ 2: G, Y[/tex]
[tex]Sack\ 3: S, R[/tex]
Required
The tree diagram
The selection process is as follows:
[tex]Sack\ 1: B, W[/tex]
[tex]Sack\ 1\ and\ Sack\ 2: B (G,Y); W(G,Y)[/tex] -- i.e. we write sack 2 as a subset of 1
[tex]Sack\ 1, 2\ and\ 3: B (G(S,R),Y(S,R)); W(G(S,R),Y(S,R))[/tex] -- i.e. we write sack 3 as a subset of 2
The only tree diagram that illustrates this is: option D
Which function best represents the sequence 10, 13, 16, 19, 22..., where n is a positive whole number?
a(n) = 7+3n
Ob(n) = 10 + 3n
Oc(n) = 7+3
Od(n) = 10 +3"
Answer:
first function
Step-by-step explanation:
there is a common difference between consecutive terms , that is
13 - 10 = 16 - 13 = 19 - 16 = 22 - 19 = 3
this indicates the sequence is arithmetic with nth term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
here a₁ = 10 and d = 3 , then
[tex]a_{n}[/tex] = 10 + 3(n - 1) = 10 + 3n - 3 = 7 + 3n
A triangle has vertices at (1, 3), (2, -3), and ( -1, -1). What is the approximate perimeter of the triangle?
Answer choices
15
10
14
16
Answer:14
Step-by-step explanation:You can use distance formula to find the length of each side, and then add them together to approximate the perimeter.
In the past year omar watched 39 movies that he thought were very good he watched 60 movies over the whole year of the movies he watched what percentage did he rate as very good
Answer:
65%
Step-by-step explanation:
39/60 X 100
(39 being the number of movies he rated very good, divided by the total number of movies he watched which is 60)
An item on ale cot 20% of the original price if the original price wa $95 what i the ale price
By using formula and solving we get the item is on sale for $76.
What is selling price?
The selling price is the amount of money that a seller asks for in exchange for a product or service. It is also known as the "list price" or "retail price" and it is the price at which an item is intended to be sold. Selling price is usually set by the manufacturer or the retailer, taking into account the cost of production, distribution, and marketing, as well as competition and market demand. The selling price is usually higher than the cost of production, which includes the cost of the materials, labor, and overhead expenses.
What is the formula to calculate selling price?The formula to calculate the selling price of a product or service depends on the information available and the desired level of accuracy. However, there are a few common formulas used to calculate the selling price based on different factors.
Cost-plus pricing formula: This formula calculates the selling price by adding a markup percentage to the cost of the product or service.
The formula is: Selling price = Cost + (Cost x Markup percentage)
If the original price of an item was $95 and it is now on sale for 20% off, we can calculate the sale price using the following formula:
Sale price = Original price x (1 - Discount percentage)
In this case, the discount percentage is 20%, so we can express it as 0.2. Therefore, the formula becomes:
Sale price = $95 x (1 - 0.2)
To calculate the sale price, we need to multiply the original price by (1 - 0.2) which is (1-0.2) = 0.8
Sale price = $95 x 0.8
Sale price = $76
So, the item is on sale for $76.
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If tan 0= -21/20 what is cos 0 in quadrant 2
What are the different types of time complexity analysis available?
There are five different types of Time complexity analysis:
Constant Time ComplexityLogarithmic Time Complexity Linear Time Complexity O(n log n) Time ComplexityQuadratic Time ComplexityWhat is Time complexity?
The computational complexity that describes the amount of computer time required to run an algorithm is known as time complexity in computer science. The time complexity of an algorithm is commonly estimated by counting the number of elementary operations performed by the algorithm, assuming that each elementary operation takes a fixed amount of time to perform.
As a result, the time required and the number of elementary operations performed by the algorithm are assumed to be proportional. Because the running time of an algorithm varies among different inputs of the same size, the worst-case time complexity, which is the maximum amount of time required for inputs of a given size, is commonly considered.
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19. The Beaufort Scale measures the intensity of tornadoes. For a tornado
3
with Beaufort number B, the formula v = 1. 9B2 may be used to
estimate the tornado's wind speed in miles per hour. Estimate the wind
speed of a tornado with Beaufort number 9.
The the wind speed of a tornado with Beaufort number 9 is 51.3 miles per hour.
What is speed?
Speed is calculated as follows: speed = distance * time. Knowing the units for distance and time is necessary to calculate the units for speed. The units will be in meters per second (m/s) in this example because the distance is measured in meters (m) and the time is measured in seconds (s).
Given:
The Beaufort Scale measures the intensity of tornadoes. For a tornado
with Beaufort number B, the formula [tex]v = 1.9B^\frac{3}{2}[/tex] may be used to
estimate the tornado's wind speed in miles per hour.
We have to estimate the wind speed of a tornado with Beaufort number 9.
Plug B = 9 in the formula [tex]v = 1.9B^\frac{3}{2}[/tex]
⇒
[tex]v = 1.9(9)^\frac{3}{2} \\v = 1.9(27)\\v = 51.3[/tex]
Hence, the the wind speed of a tornado with Beaufort number 9 is
51.3 miles per hour.
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Which of the following statements are true??
Answer:
A, D
Step-by-step explanation:
A street sign is 14 inches long. A scale drawing of the sign is 5 inches long. What is the scale factor
Answer:
5/14
Step-by-step explanation:
A street sign is 14 inches long. A scale drawing of the sign is 5 inches long. What is the scale factor
Scale factor is calculated as:
Scale drawing/Street sign
= 5 inches/14 inches
= 5/14
Therefore, the scale factor 5/14
I have attached the questions above pls help me ASAP
I will give the person with correct answers brainliest as reward
Answer:
a) C = 31.42
b) A = 78.55
Step-by-step explanation:
C = (2)(pi)(r), pi = 3.142 and r = 5
C = (2)(3.142)(5)
C = 31.42
A = (pi)(r)^2, pi = 3.142 and r = 5
A = (3.142)(5)(5)
A = 78.55
What is the volume of the sphere rounded to the nearest whole number if the radius is 3.63 inches?
Answer: 200inches³
Step-by-step explanation:
The volume of a sphere can be gotten by using the formula:
V = 4/3 πr³
where,
π = 3.142
r = radius = 3.63 inches
Volume = 4/3πr³
= 4/3 × 3.142 × 3.63³
= 4/3 × 3.142 × 47.832147
= 200.38481
= 200inches³
Becky says that line c and d are parallel
what must true for Becky to be correct
Answer:
c) m <2 =m <3
Step-by-step explanation:
since the angles 2 and 3 are equal then they should be alternate angles
then c and d are parallel lines
can y’all help me solve for n?
Answer:
Sure mate, n is equal to 27
Step-by-step explanation:
side ab is similar side pq. This is given.
12/4=3 therefore your scale factor from small to large is 3
side cb is similar to rq. This is given.
the length of cb is equal to 9 multiplying this by 3 will give you the length of line segment rq. and therefore the value of N.
9*3=27
Use the distributed property to simplify the expression 6(x+4)+1
Answer:
6x + 25
Step-by-step explanation:
6(x + 4) + 1
6x + 24 + 1
6x + 25
Answer:
6x + 25
Step-by-step explanation:
Multiply each x and 4 (inside parentheses) by 6, and then add 1 to the resulting sum:
6x + 24 + 1
Combining like terms, we get:
6x + 25
Jeremy feeds his cats the same amount every day after 4 days he has feed his cat 12 cups of food how many cups would he feed his cats in 9 days
Answer:
27
Step-by-step explanation:
12/4 = 3
3 x 9 = 27
Consider your construction of pentagon ABCED.
What segments, if any, are parallel? Explain how you made your
determination.
Therefore , the solution of the given problem of pentagonal comes out to be Nadia has created a pentagonal prism as a result.
Define pentagonal.Pentagons are two-dimensional polygons having five sides and fifth angles. When we mix the Greek terms "penta" and "gon," which mean "five" and "angles," respectively, we have the word "pentagon."
Here,
we know that a pentagonal prism has five rectangular sides in addition to two pentagonal bases at the top and bottom.
Pentagonal prisms are pentagon-shaped if we look at them from the bottom.
When viewed from the side, a pentagonal prism would have a rectangular shape.
If we were to look at the pentagonal prism from the front, it would appear rectangular.
Therefore , the solution of the given problem of pentagonal comes out to be Nadia has created a pentagonal prism as a result.
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How do you write coordinates for translation?
Coordinates (x ,y ) of the given geometrical figure after translation is written as ( x + h , y + k ) where h ∈ R and k ∈ R.
As given in the question,
Let us consider the coordinates of any geometrical figure is represented by ( x, y ) in the coordinate plane.
Translation is the representation of transformation the change in the location of the given geometrical figure without change in the shape and size.
It can be translated in four ways :
Translation to the right is written as ( x + h , y )
Translation to the left is ( x - h, y)
Translation in the up is ( x, y + k )
Translation in the down is ( x , y - k ).
Therefore, the original coordinate ( x ,y ) after translation written as
( x + h , y + k ) where h ∈ R and k ∈ R.
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Someone please help
Answer:
50 pages per hour
Step-by-step explanation:
Name three pairs of parallel segments below.
Answer:
hypotenuse,adjacent and opposite
what is 30 + 30?
get your points in yup yup!
Need help ASAP!! Plz
Answer:
Rate of change = -5/6 & Initial value = 5
Step-by-step explanation:
Rate of change = rise/run = -5/6
Initial value = y -intercept = 6
Pleaseeee help asapppppp
Simplifying
0.75x + 1.2 = 0
Reorder the terms:
1.2 + 0.75x = 0
Solving
1.2 + 0.75x = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-1.2' to each side of the equation.
1.2 + -1.2 + 0.75x = 0 + -1.2
Combine like terms: 1.2 + -1.2 = 0.0
0.0 + 0.75x = 0 + -1.2
0.75x = 0 + -1.2
Combine like terms: 0 + -1.2 = -1.2
0.75x = -1.2
Divide each side by '0.75'.
x = -1.6
find the slope of the line that passes through the points (4,-3) and (7,12)
Answer:
8/10
Step-by-step explanation:
12 - 4 8
-------- = -----
7 - (-3) 10
Answer:
5
Step-by-step explanation:
y2 - y1 / x2 - x1
12 - (-3) / 7 -4
15 / 3
5
is equal to 1,024. Evaluate the following expressions.
a. 46
b. 44
43.42
Answer:
What is equal to 1,024
Step-by-step explanation:
Estimate 38 x 9= ___
Answer:
400
Step-by-step explanation:
The most accurate estimate among the given options is d) 400.
Given that we need to estimate the product of 38 x 9,
To find the product of 38 and 9, you can simply multiply the two numbers together:
38 x 9 = 342
Therefore, the actual product of 38 and 9 is 342.
Now, let's estimate the product using the given options:
a) 30: This is too low of an estimate. 38 is larger than 30, so the product should be greater than 30.
b) 50: This is also too low of an estimate. 38 multiplied by 9 is significantly larger than 50.
c) 120: This estimate is closer to the actual product, but still not accurate. 120 is smaller than the actual product of 342.
d) 400: This is a close estimate. 38 multiplied by 9 is close to 400.
In summary, the most accurate estimate among the given options is d) 400.
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3. Wite the 4th number in the pattern Rule: Add 11 starting at 34
For each situation, make a tree diagram to show the sample space. Then give the total number of outcomes.
tossing a coin and choosing a consonant from the word ALGEBRA
a. 2
c. 6
b. 4
d. 8
HELP PLEASE
Answer:
I would go with D, 8.
Step-by-step explanation:
Tossing a coin, but not saying heads or tails is accepting both (2 outcome branches)
There are 4 consonants in ALGEBRA (each of the two branches above have 4 outcomes that match)
2 x 4 = 8
I don't like how the question is written, because the "total number of outcomes" usually includes the ones you don't want, which would be 14. But since that's not an option, I would chose D.