Answer:
Two figures are congruent if they can be superimposed so that they fit exactly. It can be shown that two plane polygons are congruent if and only if a one-to-one correspondence can be established between them such that corresponding sides have the same length and corresponding angles have the same measure.
Thus, figures that are the same size and shape are congruent. Corresponding parts of congruent figures are congruent. Congruent figures, such as those below, may be in different positions.
Congruent shapes
A figure has line symmetry if it can be folded in half and the two halves are congruent. The line made by the fold is the line of symmetry. Line symmetry is also called bilateral symmetry. Figures can have no lines of symmetry or an unlimited number of lines of symmetry.
Step-by-step explanation:
Final answer:
Symmetry refers to a balanced and proportional similarity an object exhibits across a dividing line, while congruency means two objects are identical in shape and size but may differ in position. Human bodies show bilateral symmetry, and symmetry is important for biological functionality and aesthetics. Congruency, meanwhile, is about identical geometry, regardless of orientation or position.
Explanation:
The difference between symmetry and congruency is foundational in understanding geometric principles. Symmetry refers to the balanced and proportional similarity that an object has with respect to a dividing line, plane, or center.
When an object exhibits symmetry, it means that if you were to fold it along its line of symmetry, the two halves would match up perfectly, reflecting one another. For instance, human body plans illustrate bilateral symmetry, where the body can be split into left and right halves that are mirror images of each other.
On the other hand, congruency is a concept that denotes when two shapes are identical in form and size, although they may be flipped, rotated, or moved. In geometry, when two figures are congruent, they have exactly the same dimensions and shape, but their positions may vary. A real-world example of congruence can be seen in the uniformity of manufactured products like tiles or bricks.
To observe how symmetry extends to our senses, consider that our eyes and ears are positioned symmetrically on either side of our head, providing balanced input to our brain which helps us navigate our environment effectively. This speaks to the importance of symmetry not just in aesthetics but also in biological functionality.
A rectangle flag had a width of 3 2\3 feet and area of 8 3/4 square feet . Which expression could be used to calculate the length , in feet , of the rectangle
Pretty sure it's 8 3/4 ÷ 3 2/3.
Why?
So say you want to find the length of a rectangle who's area is 6, and the width is 2. You can divide the area by the width to find the length. 6/2 = 3.
Check: 2 * 3 = 6.
Back to the original question: 8 3/4 ÷ 3 2/3.
Improper fractions: 35/4 ÷ 11/3.
Switch division to multiplication and reciprocal: 35/4 * 3/11.
35/4 * 3/11 = 105/44.
Check:
105/44 * 11/3 = 1155/132 = 35/4 = 8 3/4
Length = 105/44
Final answer:
To find the length of the rectangle, we use the formula Area = length imes width, converting the given mixed numbers into improper fractions, and then dividing the area by the width.
Explanation:
To calculate the length of the rectangle given the width and the area, we can use the formula for the area of a rectangle: Area = length times width. To isolate the length, we divide both sides of the equation by the width. Given that the width of the rectangle is 3 2/3 feet and the area is 8 3/4 square feet, the expression to find the length is:
Length = Area / Width
First, we convert the mixed numbers into improper fractions:
Width: 3 2/3 = 11/3 feet
Area: 8 3/4 = 35/4 square feet
Then, the calculation for the length is:
Length = (35/4) / (11/3) feet
Ben bowled 156 and 186 in his first two games. What must he bowl in his third game to have an average of at least 160?
Answer:
138
Step-by-step explanation:
let x be the number Ben should bowl in the third game:
(156+186+x)/3=160
156+186+x=480
x=138
Please Solve Correctly. And you WILL receive 100 POINTS!!! And become Brainleast!!
Good Luck.
Answer:
Step- by step explanation:
It equals six and he kind of did it right it just wouldn’t look right to other people
Answer:
Step 1: Determine if William is correct
(-6) - (+3)
-6 - 3
-9
So... William was incorrect because he make the 6 positive when it is supposed to be negative.
He did: 6 + (-3) = 3
He was supposed to do: -6 + (-3) = -9
i need help with both of them i will give you 25 points
plz help
Answer:
1)m<DCH =89
2)m<BCD=103
Step-by-step explanation:
1) We have that:
m<EFB=91 degree.
We want to find m<DCH.
By same side interior angle property:
m<DCH +m<EFB=180
m<DCH +91=180
m<DCH=180-91
m<DCH =89
2) Given that: m<HFG=103, we seek to find m<BCD.
By the alternate exterior angle property:
m<HFG=m<BCD
Therefore
m<BCD=103
Find the volume
4 3/4 cm
3cm
7 1/5 cm? need help asap
Step-by-step explanation:
hope the answer will helpful
when a=2 b=3 and c=5 what is the value of a(b+c)
solve and show how you got the answer
Answer:
16
Step-by-step explanation:
If we plug in all the variables, we get 2(3+5)
Evalutation: 2(3+5)=2(8)=16
So the value is 16
Hope this helped!
Answer:
16
Step-by-step explanation:
a =2
b = 3
c =5
a(b +c)
2(3+5)
2x3 + 2x5
6 + 10
16
The slope of a line that is perpendicular to a line whose slope is -2/7 is
A box measures 4 inches by 2 inches by 3 inches. Find the volume of the box
in cubic feet. Enter your answer as a fraction. Use the '/' as the fraction bar.
Do not include units in your answer.
Answer:
24/1
Step-by-step explanation:
Rewrite the equation y=2|x−3|+5 as two linear functions f and g with restricted domains.
Please help
Answer:
f(x) = 2+5
g(x) = 2(-(x−3))+5
Step-by-step explanation:
If you remember, an absolute value can have two different answer, a positive and negative answer because the absolute value symbol makes all values in it positive. Example: |-2|=2 and |2|=2
So if y = 2|x−3|+5
then the two possibilities are
y = 2(x−3)+5 and
y = 2(-)+5
Set one of them equal to f(x) and the other one to g(x)
f(x) = 2(x−3)+5
g(x) = 2(-(x−3))+5
You can also write it as a piecewise function.
[tex]y(x)=$\begin{array}{cc} \{ & \begin{array}{cc} -(x-3) & x<3 \\ 0 & x=3 \\ (x-3) &x>3 \end{array}\end{array}$[/tex]
Dave, Frank, and Kathy can process 1,300 catalog orders per day when all three of them are working. Dave and Frank can do 780 orders per day and Frank and Kathy can do 850 orders per day. How many can each do in a day?
When solving graphically ,which system of equations will have exactly one point of intersection
Answer: you still need help? let me know okay UwU
Step-by-step explanation:
When solving graphically ,which system of equations will have exactly one point of intersection.
What is an equation?An equation is a mathematical statement that shows that two mathematical expressions are equal.
Let consider an example.
Consider the slope-intercept form of equations: y = -6x+8 and y=-3x-4
Since the slopes are different, the lines must intersect.
Because the lines intersect at a point, there is one solution to the system of equations the lines represent.
Hence, when solving graphically, the linear system of equations will have exactly one point of intersection.
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That is 30/8 simplified
Answer:
3 3/4
Step-by-step explanation:
Answer:
15/4
in order to simplify you need to find the gcf (greatest common factor) and divide by that number on both numerator and denominator, since two is the gcf, 15/4 is the answer
Lacey can type 105 words in 3 minutes. At this rate, how many words can she type in 26 minutes
Which expression is equivalent to (XY^−6)^2
XY^−36
x^2y^−12
x ^2y^12
xy^36
Answer:
answer is b
Step-by-step explanation:
look at picture shown
Edward had 45 water bottles. If he drank 1/9 of water bottles, how many did he drank?
Answer:
He drank 5 water bottles.
Step-by-step explanation:
We need to find one-ninth (1/9) of the total number of water bottles (45).
Multiply the two numbers together:
[tex]\frac{1}{9}*45[/tex]
[tex]=\frac{45*1}{9}[/tex] Combine into numerator (top) to multiply
[tex]=\frac{45}{9}[/tex] Simplify the fraction by dividing top by bottom
[tex]=5[/tex] Answer
Therefore, Edward drank 5 water bottles.
WILL GIVE BRAINLIEST
What is the number of possible outcomes if two quarters are tossed at the same time and the numbers of heads and tails are counted?
A) 2
B) 3
C) 4
D) 6
2)
Caroline flips a coin 3 times. According to the tree diagram, how many possible outcomes exist?
A) 2
B) 4
C) 6
D) 8
3)
Kyle is purchasing a refurbished phone. He is looking at the phone models 4, 5, and 6, with a protective case in red (R), blue (B), or camo (C). What are all of the different choices he has?
A) {4, 5, 6}
B) {4R, 5B, 6C}
C) {4R, 4B, 4C, 5R, 5B, 5C}
D) {4R, 4B, 4C, 5R, 5B, 5C, 6R, 6B, 6C}
4)
You are going to roll two dice What are the outcomes in the sample space?
A) {1, 2, 3, 4, 5, 6}
B) {2, 4, 6, 8, 10, 12}
C) {1-1, 2-2, 3-3, 4-4, 5-5, 6-6}
D) {1-1, 1-2, 1-3, 1-4, 1-5, 1-6, 2-2, 2-3, 2-4, 2-5, 2-6, 3-3, 3-4, 3-5, 3-6, 4-4, 4-5, 4-6, 5-5, 5-6, 6-6}
5)
Hannah is getting dressed for a party. She plans to wear either shorts or jeans, a red, blue or green shirt, and flip flops or tennis shoes. According to the tree diagram, how many possible outfits can she make?
A) 8
B) 10
C) 12
D) 14
1st pic is 2nd q and 2nd pic is for 5th q
Answer:
1.) C
2.) C
3.) D
4.) D
5.) C
Step-by-step explanation:
1.) Each coin has two possible outcomes, and they are two coins in total.
2 (outcomes) x 2 (coins) = 4 possible outcomes
*hint: Look at the 1st column of the diagram and count how many branches come from it
*another hint: The branches are equal to the number of H's and T's in the 2 Column (4 branches or 4 possible outcomes)
2.) Each coin has two possible outcomes, and they are three coins in total.
2 (outcomes) x 3 (coins) = 6 possible outcomes
*hint: Look at the number of branches coming from 3 of the H's and T's in the 2nd column. (6 total branches or possible outcomes)
3.) They are 3 different types of phones, and 3 different types of cases.
3 (phones) x 3 (cases) = 9 possible combinations
{4R,4B,4C,5R,5B,5C,6R,6B,6C,}
*hint: Count 3 cases for each phone and add them (9 total)
4.)Each Dice has 6 sides (cube) and there are 2 Dice. But Each side gets paired with another side, so
6 (sides) x 6 (sides) = 36 possible outcomes
A - Shows outcomes for 1 Dice
B - Shows sum for both Dice
C - Shows some possible combinations when they are both the same number
D - Shows some more possible combinations including those when both dice are not the same number
D Appears to be the best answer as it has more details
5.) 2 Types of bottom wear (shorts or jeans), 3 Types of shirts (red, blue, green) and 2 Types of shoes (flip flops or tennis shoes).
2 (bottom) x 3 (top) x 2 (feet) = 12 possible combinations
*hint: For each bottom wear (shorts or jeans) there are 6 possible combinations so multiplying by two will give you the amount for each one.
Answer:
2 is 8 :)
Step-by-step explanation:
Which of the following are statistical questions? Select all that apply.
How many hours a night do you spend on homework?
How many hours do the students in this class sleep each night?
What is your favorite ice cream flavor?
How many books did the students at this school read over the summer?
How many letters are in the first name of each person in this class?
How many chocolate chip cookies were made in the bakery last week?
Answer: all questions are statistical questions except the one that asked about..... What is your favorite ice cream color
Step-by-step explanation:
If an arrow is shot upward on Mars with a speed of 54 m/s, its height in meters t seconds later is given by
y = 54t − 1.86t2.
(Round your answers to two decimal places.)
(a) Find the average speed over the given time intervals.
(i) [1, 2]
m/s
(ii) [1, 1.5]
m/s
(iii) [1, 1.1]
m/s
(iv) [1, 1.01]
m/s
(v) [1, 1.001]
m/s
(b) Estimate the speed when t = 1.
m/s
The average speed calculated over the given time intervals is
48.42 m/s, 49.35 m/s, 50.09 m/s, 50.26 m/s, and 50.29 m/s. The estimated speed when t = 1 is 50.28 m/s.Given formula is y = 54t - 1.86t²
Speed = dy/dt = 54 - 3.72t
a) Average speed over the time intervals given below are:
In [1, 2] time interval, it is [tex]\frac{54t - 1.86t^{2} }{2-1} = \frac{54t - 1.86t^{2} }{1}[/tex] = 48.42 m/sIn [1, 1.5] time interval, it is[tex]\frac{54t - 1.86t^{2} }{1.5-1} = \frac{54t - 1.86t^{2} }{0.5}[/tex] = 49.35 m/sIn [1, 1.1] time interval, it is [tex]\frac{54t - 1.86t^{2} }{1.1-1} = \frac{54t - 1.86t^{2} }{0.1}[/tex] = 50.09 m/sIn [1, 1.01] time interval, it is [tex]\frac{54t - 1.86t^{2} }{1.01-1} = \frac{54t - 1.86t^{2} }{0.01}[/tex] = 50.26 m/sIn [1, 1.001] time interval, it is [tex]\frac{54t - 1.86t^{2} }{1.001-1} = \frac{54t - 1.86t^{2} }{0.001}[/tex]= 50.29 m/sb) When t = 1, the speed is v = 50 - (3.72*1) = 50.28 m/s
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Question 2
Sarah opens a savings account that has a 2.75% annual interest rate, compounded monthly. She deposits $500 into the
account. How much will be in the account after 15 years?
$500.00
$754.94
$1255.27
$255.27
Therefore $754.94 will be in account after 15 years.
Step-by-step explanation:
Given , Sarah opens a saving account that has a 2.75% annual interest rate , compounded monthly. She deposits $500 into the account.
P = $500, r = 2.75% = 0.0275 , t = 15 years and n= 12
[tex]Amount (A) =P(1+\frac{r}{n})^{nt}[/tex]
[tex]=\$500(1+\frac{0.0275}{12})^{(12\times15)}[/tex]
=$754.94
Therefore $754.94 will be in account after 15 years.
After 15 years with a 2.75% annual interest rate, compounded monthly, an initial deposit of $500 in a savings account will grow to approximately $754.94.
Explanation:The student has asked how much money will be in a savings account after 15 years with an initial deposit of $500 if the account has a 2.75% annual interest rate, compounded monthly. To calculate the future value of this account, we can use the compound interest formula:
A = P (1 + r/n)^(nt)
Where:
Here, P is $500, r is 0.0275 (2.75% expressed as a decimal), n is 12 (since the interest is compounded monthly), and t is 15 years.
So, the calculation is:
A = $500 * (1 + 0.0275/12)^(12*15)
By computing this, we can determine the future value of the savings account after 15 years:
A ≈ $500 * (1 + 0.00229167)^(180)
A ≈ $500 * (1.00229167)^180
A ≈ $500 * 1.510383954
A ≈ $754.94
Therefore, the amount in the savings account after 15 years will be approximately $754.94.
What is one whole and three fourths plus five sixths plus one whole and one fourth
Answer:
First of all cant give u the anssswer i am srry but i can give u a hint u need to find eqivelent fractions for the denominators then u can add them
Step-by-step explanation:
Answer: The answer is Three whole and five sixths (3 5/6)
Step-by-step explanation: One whole and three fourths can be expressed as 1 3/4, and this is added to five sixths, that is, 5/6. therefore these can be expressed as
[1 3/4 + 5/6}
The other part of the questions says one whole and one fourth which can be expressed as 1 1/4.
The entire question can now be written out as
[1 3/4 + 5/6] + [1 1/4]
We would start by solving for the left hand side of the expression
1 3/4 + 5/6
= 7/4 +5/6
By using a common denominator which is 12 (the LCM), the expression now becomes,
[21 + 10]/12
= 31/12
We can now add this to the right hand side of the expression. Thus,
[31/12] + 1 1/4
=31/12 + 5/4
By using a common denominator which is also 12, the expression now becomes,
[31 + 15]/12
= 46/12, By simplifying further we arrive at,
23/6.
Written as a proper fraction, this becomes
3 5/6 (Three whole and five sixths)
The length of the major axis of the ellipse below is 17, and the length of the
red line segment is 6. How long is the blue line segment?
Answer:
Option C. 11
Step-by-step explanation:
If a point P lies on an ellipse, The sum of distances between the point p and the foci will be equal the major axes.
So, applying the previous rule to the problem
The red line + the blue line = major axis
6 + the blue line = 17
So, the blue line = 17 - 6 = 11
The answer is option C. 11
the perimeter of a square with 2/3g cm sides without polynomial
Answer:
P = 2.7g/cm
Step-by-step explanation:
Perimeter (P) = 4×number of sides (S)
P = 4S
Where S = 2/3gcm
Therefore, P = 4 × 2/3
P = 8/3gcm or 2.66667~ 2.7g/cm
5(n + 3) -7n when n = 1/2
Answer:
14
Step-by-step explanation:
Replace n with 1/2
5(1/2 + 3) -7(1/2)
17.5 - 3.5
=14
So, n=14
Answer:
14
Step-by-step explanation:
5(n + 3) -7n
putting value of n
5(1/2 + 3) - 7/2
5(0.5 + 3) - 3.5
5(3.5) - 3.5
17.5 - 3.5
14
14(5x-2)(x+19)/-7(x+19)(5x-2) simplified?
Answer:
25x3 + 25x2 - 19x + 7
—————————————————————
5x + 2
Step-by-step explanation:
Answer:
-2
Step-by-step explanation:
[tex]\frac{14(5x-2)(x+19)}{-7(x+19)(5x-2)}[/tex] the (x+19) on the numerator and denominator cancel out
[tex]\frac{14(5x-2)}{-7(5x-2)}[/tex] (5x-2)on the numerator and denominator cancel out
[tex]\frac{14}{-7}[/tex] = [tex]\frac{2}{-1}[/tex] = -2
I hope this helped!
I need to know whether or not 15, 13, 11, 9, ... is an arithmetic sequence
Answer: Yes
Step-by-step explanation: An arithmetic sequence is a sequence that has a common difference. The common difference is the number that is repeatedly added or subtracted to reach the next term in the sequence.
In this sequence, notice that we start with 15. Then, we subtract 2 to reach our next term which is 13. Next, we subtract 2 to get to our next term which is 11. In the same way, we subtract 2 from 11 to reach our next term, 9.
The dot dot dots just mean that this sequence goes on forever so to answer your question, this is indeed an arithmetic sequence.
What number is 80% of 65
Answer:
80% of 65 is 52
Step-by-step explanation:
Answer: 52
Step-by-step explanation: 65 x 0.80 = 52
To find a percent times the amount by percent.
Anything on this page please! BIG POINTS! Please provide Explanations!
Answer:
Step-by-step explanation:
B. For roses you could sell 84 bunches of 14 roses. For tulips, you could sell 70 bunches of 18 tulips, and for gerberas, you could sell 75 bunches of 18 gerberas.
C. well 8 dollars times 84 is $672. 11 times 70 equals $770, and 9 times 75 is $675. in total $2,117.
D. i - 1176 well to start we add up all the digits to see if its sum is divisible by 9. 1+1+7+6=15. 15 is not a multiple of 9 so its not divisible.
ii. 1260 well to see if 1260 is divisible by 8 is by taking the last 3 digits of the number and dividing it by 8. 260 divided by 8 equals 32.5. since 32.5 is a decimal and 8 can't go into 260 evenly 1260 is not divisible by 8.
If you have any questions feel free to ask in the comments - Mark
Also when you have the chance please mark me brainliest.
also did you know the word divisibility has 5 i's in it? lol also the picture is for number 1 or letter a.
Answer:
what he said :>
Step-by-step explanation:
What is the solution to the system that is created by the equation y = negative x + 6 and the graph shown below? On a coordinate plane, a line goes through (0, 0) and (4, 2). (–8, –4) (–4, –2) (4, 2) (6, 3)
Answer:
The solution point is (4,2).
Step-by-step explanation:
Equation of straight line passing through the points (0,0) and (4,2) is given by
[tex]\frac{y - 2}{2 - 0} = \frac{x - 4}{4 - 0}[/tex]
⇒ 2y = x ............ (1)
And the other straight line is y = - x + 6 .............. (2)
Now, solving equations (1) and (2) we get, y = - 2y + 6
⇒ 3y = 6
⇒ y = 2
And from equation (1) we get, x = 2y = 4
Therefore, the solution point is (4,2). (Answer)
Answer:
C: (4,2)
Step-by-step explanation:
Heather is making a blanket for her baby and is going to put a ribbon border around it. The blanket will be 3 feet by 5 feet. The fabric for the blanket cost $1.25 per square yard and the ribbon costs $.50 per foot. What is the approximate total cost for the blanket? A) $1.75 B) $10.08 C) $20.84 D) $26.75 E) $32.48
Answer:
The approximate total cost for the blanket is $10.08 ⇒ B
Step-by-step explanation:
The formula of the area of a rectangle is A = L × W
The formula of the perimeter of a rectangle is P = 2(L + W)
where:
L is the length of the rectangleW is the width of the rectangle∵ The baby blanket shaped a rectangle
∵ The dimensions of the blanket are 3 feet and 5 feet
- Find the area of the blanket
∵ A = 3 × 5 = 15 feet²
- Change feet to yard because the cost is by square yard
∵ 1 foot = [tex]\frac{1}{3}[/tex] yard
∴ 1 foot² = [tex](\frac{1}{3})^{2}=\frac{1}{9}[/tex] yard²
∴ 15 feet² = 15 × [tex](\frac{1}{9})[/tex] = [tex]\frac{5}{3}[/tex] yards²
∴ The area of the blanket is [tex]\frac{5}{3}[/tex] yards²
∵ The fabric cost of the blanket is $1.25 per square yard
∴ The fabric cost = [tex]\frac{5}{3}[/tex] × 1.25
∴ The fabric cost = 2.08333 dollars
∵ Heather is going to put a ribbon border around it
- The length of the ribbon is equal to the perimeter of the blanket
∵ P = 2(3 + 5) = 16 feet
∴ The length of the ribbon is 16 feet
∵ The cost of the ribbon is $0.5 per foot
∴ The cost of the ribbon = 16 × 0.5
∴ The cost of the ribbon = 8 dollars
Now add the fabric cost to the ribbon cost to find the total cost of the blanket
∵ The total cost = 2.08333 + 8
∴ The total cost = 10.08333
- Round it to the nearest cent
∴ The total cost = 10.08 dollars
The approximate total cost for the blanket is $10.08
1 In a test, a hybrid car drove 619 yards on 1 fluid
ounce of gasoline. To the nearest tenth, what is
this rate in miles per gallon?
A. 7.5 mi/gal
B. 15 mi/gal
C. 22.5 mi/gal
D. 45 mi/gal
The rate in miles per gallon will be 45 miles per gallon. Then the correct option is D.
What is conversion?Conversion means to convert the same thing into different units.
In a test, a hybrid car drove 619 yards on 1 fluid ounce of gasoline.
We know that 1 yard = 1/1760 miles. Then we have
619 yards = 619 x 1 / 1760 miles
We know that 1 fluid ounce = 1 / 128 gallons
The rate in miles per gallon will be
R = (619 / 1760) / (1 / 128)
R = 619 x 128 / 1760
R = 45 miles per gallon
The rate in miles per gallon will be 45 miles per gallon. Then the correct option is D.
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