The correct answer is: O Yes, distance and angle measure are preserved.
When a triangle ABC is reflected across the line y = x, the pre-image and image are congruent.
This is because the line y = x is the perpendicular bisector of the segment joining each corresponding point of the pre-image and image.
Reflection across the line y = x is a type of transformation known as an isometry, which preserves both distance and angle measure.
Here's why:
Distance preservation:
When a point is reflected across the line y = x, the distance between the original point and its reflection remains the same.
This holds true for all corresponding points of the triangle.
Therefore, the distance between any two corresponding points in the pre-image and image triangle will be equal, resulting in distance preservation.
Angle preservation: When a line segment is reflected across the line y = x, the angle between the line segment and the line y = x is preserved. This means that the corresponding angles in the pre-image and image triangle will be congruent.
Since both distance and angle measure are preserved during reflection across the line y = x, the pre-image and image triangles are congruent.
It's important to note that congruence under reflection across a line holds only when the line of reflection is the same for both the pre-image and image.
If the line of reflection were different, the triangles would not be congruent.
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Please answer as fast as you can.
what is 30 + 5(2x -1) + 20
Answer:
10x + 55
Hope this helps :)
the answer is 40 brainliest plz
help as soon as possible pleaseee
Answer:
(3x + 2)(x-4)
Step-by-step explanation:
3x² - 10x - 8 = 0
(splitting the middle term)
3x² -12x + 2x -8 = 0
3x(x-4) + 2(x-4) = 0
(3x + 2)(x-4) = 0
(3x + 2)(x-4) is the correct answer (option a)
I need to find the answers to 5-9 sorry for bad quality
Answer: 5: y=7/8x+1
6: y=-10x
7: y=2.5x-7
8: y=1.2x
9: y=-5x-8
Step-by-step explanation:
There you go. You are welcome.
Find the value of X
40°
(12x-8)
please help I have 10 mins left on my test
Answer:
B.4 12x-8 would be 12x_-8=40 this is because 12x-8 is congruent to the 40 degree angle. so what -8 is 40? 48 12x_=48 x=4 12x4=48 48-8 is 40
plz let me know if i am wrong mark brainliest if right
Step-by-step explanation:
Ron has 198 feet Of fencing to make a rectangular garden in his backyard. He wants the length to be 19 feet more than the width. Find the width?
Answer:
68.5
Step-by-step explanation:
u do 198 divided by 4 then add 19 to the awnser that u got
Answer:
width = 40 feet
Step-by-step explanation:
If w = width, then l = 19 + w
l = 19 + w
2l + 2w = 198
"Substitute 19 + w as l in the second equation"
2(19 + w) + 2w = 198,
38 + 2w + 2w = 198,
38 + 4w = 198,
4w = 198 - 38 = 160,
w = 160/4 = 40 feet
=> Solution: width = 40 feet
25% of a spring basket is peeps.
The total number of items in the
basket is 20. How many of the
items are peeps?
Answer:
5
Step-by-step explanation:
25% of 20=5
Answer:
5 items are peeps
Step-by-step explanation:
25% is 1/4 of 100%, so divide 20 (your total # of items) by 4, and you get 5, which is 25% of your 20 spring basket items.
El primer término en una secuencia es 5 y el quinto término es 17. ¿Cuál es la diferencia común
The common difference of this Sequence is 12.
In mathematics, a sequence refers to an ordered list of numbers. When working with sequences, there are various concepts and formulas that are used to calculate different aspects of the sequence. One such concept is the common difference. Let's explore what the common difference is and how to calculate it.
What is the common difference?
The common difference in a sequence refers to the difference between any two consecutive terms in the sequence. For example, in the sequence 2, 4, 6, 8, 10, the common difference is 2. We get this value by subtracting the second term (4) from the first term (2) and so on.
How to find the common difference of a sequence?
To find the common difference of a sequence, you need to know at least two terms of the sequence. You can then subtract one term from the other to calculate the common difference.
Let's apply this to the given sequence, which has a first term of 5 and a fifth term of 17. To find the common difference, we can subtract the first term from the fifth term as follows:
17 - 5 = 12
Therefore, the common difference of this sequence is 12.
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Last year’s computer models are discounted 20%. What was the original price to the nearest dollar of a computer that now costs $1,480?
$1,184
$1,500
$1,510
$1,850
Answer:
x=$1850
Step-by-step explanation:
Let the original price of the computer model is x.
Last years discount is 20%
We need to find the original price if the computer now costs $1480.
ATQ,
[tex]x-20\%\ \text{of x}=1480\\\\x-\dfrac{20x}{100}=1480\\\\x-\dfrac{x}{5}=1480\\\\\dfrac{4x}{5}=1480\\\\x=\dfrac{1480\times5}{4}\\\\x=\$1850[/tex]
So, the original cost of the computer model is $1850.
Classify the four angles of the quadrilateral
Answer:
<A= right
<B= obtuse
<C= acute
<D= obtuse
Step-by-step explanation:
2x²-2x=12
quadratic equation
You can solve with many ways but I'll do this one instead. Move 12 to the left side and change from positive to negative.
[tex]2x^2-2x-12=0\\[/tex]
Then divide by 2 whole equation.
[tex]\frac{2x^2-2x-12}{2}=\frac{0}{2}[/tex]
Simplify, as we get [tex]x^2-x-6=0[/tex]
We can either use Quadratic Formula or Factoring the Polynomials. It depends but since the polynomial aren't that hard to factor because it doesn't have that many numbers in value. So using factoring will be faster.
From [tex]x^2-x-6=0[/tex] we can factor as -
[tex](x-3)(x+2)=0\\x-3 =0, x+2=0\\x=3, x=-2\\(x=3,-2)#[/tex]
Thus, the value of x is 3 or -2. So x = 3, -2 is the answer.
Note that we can also use Quadratic Formula to solve the equation, however that will take longer than factoring then solve the equation.
Do I have the right anwer if not what is it
Answer:
yes
Step-by-step explanation:
its rightsss
Answer:
Yes
Step-by-step explanation:
11.07 pt = mL can i have help
Answer:
6290.652Step-by-step explanation:
Volume
11.07 Pint
= 6290.652 Milliliter
Formulafor an approximate result, multiply the volume value by 568
i wish this is the ans ur looking for.......If there are 640 football stickers needed to fill my book and I have 80% of the stickers
I need. How many more stickers do I need to collect?
Answer:
160 more stickers
Step-by-step explanation:
640 divided by 4 is 160
160 times 5 is 800
800 minus 640 is 160
you need 160 more stickers
Given sin(30 degrees) =1/2 and cos (30 degrees) = square root of 3/2 use trigonometry identities to find the value of cot(30 degrees)
1/2
Square root of 3/3
Square root of 3/2
Square root of 3
Answer: D)[tex]\sqrt{3}[/tex]
Step-by-step explanation:
cot(θ) = cos(θ) ÷ sin(θ)
cot(30) = [tex]\frac{\sqrt{3} }{2}[/tex] ÷ [tex]\frac{1}{2}[/tex]
cot(30) = [tex]\sqrt{3}[/tex]
The value of cot30 is √3 if sin30 = 1/2 and cos30 = √3/2 option (D) is correct.
What is trigonometry?Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
We have:
sin30 = 1/2
cos30 = √3/2
As we know,
cotA = cosA/sinA
A = 30 degrees
cot30 = cos30/sin30
cot30 = (√3/2)/(1/2)
cot30 = √3
Thus, the value of cot30 is √3 if sin30 = 1/2 and cos30 = √3/2 option (D) is correct.
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3x² + 2x + 2 + 4x² + 5
Answer:
7x^2 + 2x + 7
Hope this helps :)
Answer:
7x²+2x+7
Step-by-step explanation:
Hope this helps. Plz give brainliest.
-2(k+12)=2k + 16
Show work
Answer:
k=-10
Step-by-step explanation:
[tex] - 2k - 24 = 2k + 16[/tex]
[tex] - 2k - 2k = 16 + 24[/tex]
[tex] - 4k = 40[/tex]
[tex]k = 40 \div - 4 = - 10[/tex]
i think this is the answer
Pls help xdcdcdcdcdcd
Answer:
A
Step-by-step explanation:
YESYESYESYESYESx85
Plzzzzzzzz help right answer gets brainly
Answer:
20
Step-by-step explanation:
Mrs.Manning is making cookies for the bake sale. She jas 3/4 cup of flour and needs 1/3 cup of flour for her chocolate chip cookies. What fraction of the flour Mrs.Manning has will be used for her chocolate chip cookies?
Answer:
The fraction of the flour Mrs. Mannng will use for her chocolate chip cookies is 4/9
Step-by-step explanation:
Fraction of Portion
Suppose we have a number n and another number m such as m>n. The portion or fraction of size n of m is given by the quotient n/m.
For example, 3 pieces of cake out of a total of 6 make them a fraction of 3/6 = 1/2 of the whole cake, i.e. half of the total available.
Mrs. Manning needs 1/3 cup of flour to make cookies for the bake sale. She actually has 3/4 cups of flour. Calculate the fraction of needed against the available flour:
[tex]\displaystyle \frac{\frac{1}{3}}{\frac{3}{4}}[/tex]
The division can be easier performed by multiplying by the reciprocal of the denominator:
[tex]\displaystyle \frac{1}{3}\cdot \frac{4}{3}=\frac{1*4}{3*3}[/tex]
[tex]\displaystyle =\frac{4}{9}[/tex]
The fraction of the flour Mrs. Mannng will use for her chocolate chip cookies is 4/9
Find and simplify as much as possible. Let f(x)=x^2+2 be for f(x+h)-f(x)/h
Answer:
In picture
Step-by-step explanation:
Use the given functions to set up and simplify
3x-2y=2
i always get mixed up in the final answer y=1 -3/2x 0r y= 1 +-3/2x ?
Answer:
Both answers are correct
Step-by-step explanation:
both y = 1 - 3/2x and y = 1 + -3/2x are correct answers, it is just that y= 1 - 3/2x is the simpler version. Adding a negative number is the same as subtracting a positive.
1.6 Write the following numbers in order of size. Start with the smallest number.
0.5, 0.14, 0.092, 0.33
PLEASE HELP ME ANSWER THIS
What is cos 60?
Answer:
The angle with measure 60° is one of those angles that has a well-known cosine value: cos(60°) its C= 1/2.
Step-by-step explanation:
How long is 10:36 to 11:23
Answer:
47 minutes
Step-by-step explanation:
Answer:
47 mins hope this helps
Step-by-step explanation:
simplify the following
-(3z)2
Answer:
-9x²
Step-by-step explanation:
-(3x)²
In PEMDAS, we solve the exponent first then multiply.
-(3x)²
-(9x²)
-9x²
Best of Luck!
Uisng the PEMDAS method of simplifying arithmetic expressions, the expression would be 9z²
Given the expression :
-(3z)²This can be written as :
-3z × - 3z
Negative values will cancel out,
= 9z²
Therefore, the simplified form of the expression would be 9z²
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ASAP HELP PLEASE WILL GIVE BRAINLIEST
The perimeter of a rectangle
is 40 centimeters. The length of the rectangle can be represented by (2x + 1), and its width can be represented by (x - 5). What is the
length of this rectangle in centimeters?
Answer:
17cm
Step-by-step explanation:
equation:
[tex]2(2x + 1) + 2(x - 5) = 40 \\ x = 8 \\ [/tex]
substitute 8 into
[tex](2x + 1)[/tex]
[tex]2(8) + 1 = 17[/tex]
[tex]lenghth = 17cm[/tex]
Help!!!Geometry chapter three
Answer: 50
Step-by-step explanation:
3(50)-14=136
Solve. Enter your answer as an inequality.
4x + 5 < 5x + 3
w
Step-by-step explanation:
4x+5<5x+3
4x=-5<5x=-3
x=-5/4<x=-3/5
1.25<0.6
what is the number in scientific notation? 0.000000000093 enter your answer in the box.
Answer:
9.3 × 10^-11
Step-by-step explanation:
Which of the following sets represents the domain of the function shown?
{(2, 7}, (15, 13), (21,-4), (24, 18). {-4, 2, 7, 13, 15, 18, 21, 24}
{(7, 2), (13, 15), (-4, 21), (18, 24)}
{2, 15, 21, 24}
{-4, 7, 13, 18}
Answer:
(2, 15, 21, 24)
Step-by-step explanation:
Domain the x values