Answers
Answer:
Transitive property of segment congruence
Step-by-step explanation:
The reflexive, symmetric, and transitive properties are the criterion for an equivalence relation. In terms of congruence,
The reflexive property states that [tex]\overline{XY} \cong \overline{XY}[/tex] (a segment is congruent to itself)The symmetric property states that if [tex]\overline{AB} \cong \overline{CD}[/tex], then [tex]\overline{CD} \cong \overline{AB}[/tex] (this is essentially commutativity)The transitive property states that if [tex]\overline{AB} \cong \overline{CD}[/tex] and [tex]\ovelrine{CD} \cong \overline{EF}[/tex], then [tex]\overline{AB} \cong \overline{EF}[/tex].In terms of general equivalence relations,
The reflective property states that [tex]a = a[/tex].The symmetric property states that if [tex]a=b[/tex], then [tex]b=a[/tex].The transitive property states that if [tex]a=b[/tex] and [tex]b=c[/tex], then [tex]a=c[/tex].That's the transitive property.
The fact that congruence is transitive means exactly what you have written: if A is congruent to B and B is congruent to C, then you can "bridge" from A to C.
Related Questions
Tom is buying topsoil for the flower bed shown below. One bag of topsoil covers 151515 square meters. How many bags of topsoil does Tom need to cover his flower bed?
Answers
Answer:
2 bags of topsoil.
Step-by-step explanation:
The attached figure shows a flower bed.
One bag of topsoil covers 15 square meters.
We need to find how many bags of topsoil does Tom need to cover his flower bed.
The area of the flower bed is :
[tex]A=\dfrac{1}{2}\times 12\times 5\\\\=30\ m^2[/tex]
Let he has to cover x bags of topsoil. So,
x = Area of flower bed/Area of 1 bag of top soil
x = 30/15
x = 2
Hence, he will need 2 bags of topsoil to cover his flower bed.
Find the equation of the line that is parallel to the given line and passes through the given point.
y=-6x + 9; (8,9)
The equation is y =
Answers
Answer:
y = -6x - 39
Step-by-step explanation:
A parallel line will have the same slope so m= -6, but it will have different points.
So we have y= -6x + b and the points are (8,9)
Substitute that in
9 = -6*-8 + b
9 = 48 + b
subtract 48 on both sides
9-48 = 48 - 48 + b
-39 = b
so equation is
y = -6x -39
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Answer:
y=-6x+9
0=-6x+9
6x=9
x=9/3
x=3/2
What is the completely factored form of this polynomial? 4x4+12x2+9
Answers
I am thinking of a number, let's call it x . If I increase twice my number by 5, the result is the same as if I triple my number and subtract 1. Use the 4-step process to write and solve an equation to find my number. Make sure to answer in a sentence.
Answers
Answer: 6
Step-by-step explanation:
Let the number be x
If I increase twice my number by 5, the result is the same as if I triple my number and subtract 1. This can be formed into an equation as:
(2 × x) + 5 = (3 × x) - 1
2x + 5 = 3x - 1
5 + 1 = 3x - 2x
x = 6
The number you are thinking of is 6
How would i know if a line on a graph has passed the vertical line test?
Answers
Answer:
The vertical line will only pass the graph line once.
Step-by-step explanation:
For example, I found an example online. The vertical line intersects a circle twice. But on a horizontal squiggly line, it only touches it once. So the circle is NOT a function but the squiggly line IS a function.
Hope this helps!! Brainiest is appreciated!! Happy Holidays!!!!
To use the vertical line test, take a ruler or other straight edge and draw a line parallel to the y-axis for any chosen value of x. If the vertical line you drew intersects the graph more than once for any value of x then the graph is not the graph of a function.
A baker made 36 blueberry muffins on Monday. what percent of the total number of muffins were blueberry if the baker made 90 muffins?
_% of the total muffins were blueberry
Answers
Answer:
32%
Step-by-step explanation:
i need an opinion, my other note is in anouther question. what do y'all think.
Dear Chelsea
I'm tierd of you scraching me
I mean I love you can't you see
You may not see it but your rude to Sue
you tell me a secret like the one about you know who
Do you like to hurt Sue and me
Dose it make very you happy
I'm done with all the disrespect
I always helped you last I checked
I'm always there for you
I have fun doing all the things we do
I love you like my own child
Evan though you're a little wild
Your pretty and strong
Your hair is not so long
But what do I care
I mean it's your hair
I geuss what I'm trying to say
Is that no matter what you do ill still love you anyway
You are my little cousin more like a sister
And I hope to be there when you get your mister
I may not always be there
But I want you to know I still care
So as I look up at the sky
I write this not to say goodbye
Answers
Answer:
good job its very good
Step-by-step explanation:
What is the image of the point (2,3) after the transformation Ry-axis?
Answers
Answer:
The image of the point (2, 3) after the reflection across the y-axis will be: (-2, 3)
Step-by-step explanation:
We know that when a point, let say P(x, y), is reflected across the y-axis, the sign of x-coordinate is reversed but y-coordinate remains the same.
In other words, the rule is:
P(x, y) → P'(-x, y)
Here, P'(x, y) is the image of the original point P(x, y) after the reflection across the y-axis.
Considering the point
A(2, 3)Let us reflect the point A(2, 3) across the y-axis.
We know the rule:
P(x, y) → P'(-x, y)
so
A(2, 3) → A'(-2, 3)
Thus, the image of the point (2, 3) after the reflection across the y-axis will be: (-2, 3)
Identify a pair of perpendicular lines in the given figure.
Question 1 options:
p and t
q and t
s and t
p and q
Answers
Find the zeros of the function.
Enter the solutions from least to greatest.
f(x) = 5x^2 – 20
Answers
Answer:
x=-2, 2.
Step-by-step explanation:
5x^2-20=0
factor out the 5
5(x^2-4)=0
5(x+2)(x-2)=0
(x+2)(x-2)=0/5
(x+2)(x-2)=0
x+2=0, x-2=0
x=0-2=-2,
x=0+2=2.
A cylindrical tank has a radius of 5.5 ft and an altitude of 16 ft. If a gallon of paint will cover 130ft^2 of surface, how much paint is needed to put two coats of paint on the entire surface of the tank?
Answers
Answer:
Approximately 11 gallons of paintStep-by-step explanation:
First we need to calculate the Total surface area of the cylindrical tank as shown;
TSA of the tank = 2πr² + 2πrh
TSA of the tank = 2πr(r+ h) where;
r is the radius of the tank
h is the height
Given
radius = 5.5ft
height = 16ft
Get the surface area;
TSA = 2π(5.5)(5.5+ 16)
TSA = 2π(5.5)(21.5)
TSA = 2π(118.25)
TSA = 2(3.14)(118.25)
TSA = 742.61ft²
If a gallon of paint will cover 130ft^2 of surface, then the total number of paint needed will be;
Total number of paint needed = 742.61/130
Total number of paint needed = 5.7
For one coat we will need 5.7gallons of paint
For two coats we will need 2 * 5.7gallons = 11.4
Hence approximately 11 gallons of paints will be needed for the two coats
| 5t-1 |=6
Show all work
Answers
Answer:
t = 1.4
Step-by-step explanation:
If you multiply 5 and 1.4 together, you get 7. Then, you do 7 - 1, and you get 6.
The inverse operation symbol things don't matter if the answer you get inside the two vertical bars is positive.
Answer: t=1
Step-by-step explanation:
|5t-1 |=6
5t+1=6
5t=5
t=1
If anyone knows the answer to this can you help me
Answers
Answer:
C. y + 7 = -7(x - 3)Step-by-step explanation:
The equation of a line is:
y - y₀ = m(x - x₀)
where m is the slope and (x₀, y₀) is the point which the line passes through
The product of slopes of two perpendicular lines is -1
so if given lines slope is ¹/₇ them:
¹/₇·m = -1
m = -7
(3, -7) ⇒ x₀ = 3, y₀ = -7
Therefore:
y - (-7) = -7(x - 3)
y + 7 = -7(x - 3)
y+1=5(x−9) is it linear or non-linear?
Answers
Answer:
yes its linear
Step-by-step explanation:
Complete the ratio table.
9 1
18 2
27 3
36
45 5
Answers
Answer:
9:1, 18:2, 27:3, 36:4, 45:5 or 1,2,3,4,5
Step-by-step explanation:
This is the answer because:
1) We can see that eah ratio is being multiplied with the next number. We can say this because 9 x 2 = 18 and 1 x 2 = 2 which is 18:2 just like that 9 x 3 = 27 and 1 x 3 = 3 which makes the ratio 27:3.
2) If we keep on doing this, 9 x 4 = 36 and 1 x 4 = 4 which makes the ratio 36:4.
Therefore, the answer is 4.
Hope this helps! :D
Pls help!
a.) 2 is what percent of 1?
b.) M is what percent of N?
c.) What percent of 88 is 154?
Answers
Answer:
A)200%
B)I dont know sorry
C) 57.14. Not sure tho
Hope they are correct
8
9
10
3
4
5
A box contains 7 plain pencils and 3 pens. A second box contains 5 color pencils and 5 crayons. One item from each box is chosen at random. What is the
probability that a plain pencil from the first box and a color pencil from the second box are selected?
form
Answers
Answer:
60%
Step-by-step explanation:
add them all to 20
add 7 and 5 to get 12
12 over 20 is 60 percent
in ACE, G is the centroid and BE = 9. find BG and GE
Answers
Answer:
b-g is 3
g-e is 6
Step-by-step explanation:
good luck, have a good day, can i get brainliest
GE = 6 and BG = 3
What is centroid?The point in which the three medians of the triangle intersect is known as the centroid of a triangle.
Given that, G is the centroid and BE = 9
The centroid point G divides the segment BE in the ratio 2:1, such that GE is twice the length of BE,
BG = 1/3*BE
BG = 1/3*9 = 3
And,
GE = 2/3*9 = 6
Hence, GE = 6 and BG = 3
Learn more here:
brainly.com/question/12549436
#SPJ2
Somebody Please solve this question without using L Hospital rule.
Evaluate if:
Answers
Answer:
1/2
Step-by-step explanation:
Given that,
[tex]\lim_{n \to 1} (\dfrac{1+\cos\pi x}{\tan^2\pi x})[/tex]
Using L Hospital's rule to find it :
[tex]\lim_{n \to a} \dfrac{f(x)}{g(x)}= \lim_{n \to a} \dfrac{f'(x)}{g'(x)}[/tex]
We have,
a = 1, [tex]f(x)=1+\cos\pi x, \ \ g(x)=\tan^2\pi x[/tex]
[tex]f'(x)=\dfrac{d}{dx}(1+\cos\pi x)\\\\=-\pi \sin \pi x\ .....(1)[/tex]
[tex]g'(x)=\dfrac{d}{dx}(\tan^2\pi x)\\\\=2\tan\pi x\times \sec^2\pi x\times \pi\ .....(2)[/tex]
From equation (1) and (2) :
[tex]\lim_{n \to 1} \dfrac{f(x)}{g(x)}= \lim_{n \to 1} \dfrac{-\pi \sin\pi x}{2\tan \pi x\times \sec^2\pi x \times \pi}\\\\\lim_{n \to 1} \dfrac{-\pi \sin\pi x}{2\tan \pi x\times \sec^2\pi x \times \pi}\\\\=\lim_{n \to 1} \dfrac{-1}{2}\times\cos^3\pi x\\\\=\dfrac{-1}{2}\times \cos^3\pi \\\\=\dfrac{1}{2}[/tex]
So, the value of the given function is 1/2.
3/4 divided by 1/5
HELPPP
Answers
Answer:
3.75
Step-by-step explanation:
3/80 as a fraction maybe
3 3/4 as a mixed fraction
A man is trying to fit a washing machine into a corner of a four-sided room. He knows that all the walls are perfectly straight, but he is not sure if the corner is an exact right angle. If the other three corners are all 90° angles, what is the measure of the missing corner?
Answers
Using mental math, the approximate tip to leave for a bill of $81.79, if you tip 15% would be _____.. a. $8.20 b. $10.30 c. $12.30 d. $16.40 Please select the best answer from the choices provided A B C D
Answers
Step-by-step explanation:
The approximate tip is - 12.30$
Because bill is 81.79$
and tip - 15%
therefore bill amount divided by 15/100
==> 81.79* 15% is 12.30$
The equation of the line that contains diagonal HM is y = 2/3 x + 7.
What is the slope of the line that contains diagonal OE?
Answers
Answer:
The slope of the line that contains diagonal OE will be = -3/2
Step-by-step explanation:
We know the slope-intercept form of the line equation
y = mx+b
Where m is the slope and b is the y-intercept
Given the equation of the line that contains diagonal HM is y = 2/3 x + 7
y = 2/3 x + 7
comparing the equation with the slope-intercept form of the line equation
y = mx+b
Thus, slope = m = 2/3
We know that the diagonals are perpendicular bisectors of each other.As we have to determine the slope of the line that contains diagonal OE.
As the slope of the line that contains diagonal HM = 2/3
We also know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line.
Therefore, the slope of the line that contains diagonal
OE will be = -1/m = -1/(2/3) = -3/2
Hence, the slope of the line that contains diagonal OE will be = -3/2
A video club costs $25 to join. Each video that is rented costs $2.50. Let v represent the
number of videos. Identify the independent and dependent variables. Then, write a rule
in function notation for the situation.
Answers
Answer:
Independent: videos rented; Dependent: total cost; f(v) = 2.5v + 25
Step-by-step explanation:
plz mark as brainliest i tryed my best im sure its right
will give brainliest!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1
Answers
Answer:
x=15
Step-by-step explanation:
Whose puppy weighed the most when the person got it? How much did it weigh? Part c
Answers
Answer:
Olivia's puppy, it weighed 5 pounds.
Step-by-step explanation:
I need help with this equation. I'm not that smart so I can't figure it out-
Answers
Answer:
x = 0
Step-by-step explanation:
In order to solve for x, first combine both fractions on the left
To add 4x-2/8 + 3+x/4 first find the least common denominator of 8 and 4
It's 8 so multiply the numerator and denominator of 3+x/4 by 8, you would get:
8x+24/32
Multiply 4x-2/8 by 4, you will get:
16x-8/32
Now you can add 16x-8/32 + 8x+24/32, you would get:
24x+16/32
Now you can start to solve for x
Your new equation is 24x+16/32 = 1/2
To solve for x, first multiply diagonally, then solve like a regular equation.
Multiply 24x+16 by 2 to get 48x+32
Then multiply 32 by 1 to get 32
Your new equation is 48x+32=32
Now subtract 32 by 32 to get 48x=0
Now divide 48 by 0 to get x=0
Curtis estimates that he can run 18 mph. About how many feet per second can Curtis run if there are 5280 feet in a mile?
Answers
Answer:26.4 feet per second
Step-by-step explanation:
Answer:
26.4 fps (feet per second)
Step-by-step explanation:
what are the x and y intercepts of the function??
Answers
Answer:
first one
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
x-intercept is (-4,0)
y-intercept is (0,-3)
ok so tomorrow i have exams omg haha im so scareddd!!!!!
Answers
Answer:
Best of luck! I hope your exam goes well!!!