Answers
Answer:
In geometry, two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.
Related Questions
The vertex of ∠A B C is located at the origin. Point A is located at (5,0) and Point C is located at (0,2). How can ∠A B C be classified?
A. acute
C. right
B. obtuse
D. scalene
Answers
As the angle is greater than 0° and less than 90°, then the angle ABC is acute. (Answer: A)
How to determine the features of an angle set on Cartesian plane
Herein we find the locations of the three vertices of the figure, of which we must determine the lengths of the two sides of the angle and determine the value of the angle by trigonometry:
BA = 5, BC = 2
θ = tan⁻¹ (BA / BC)
θ = tan⁻¹ (5 / 2)
θ ≈ 68.199°
As the angle is greater than 0° and less than 90°, then the angle ABC is acute. (Answer: A)
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The length and width of a rectangle are consecutive odd integers. The perimeter of the rectangle is 80 centimeters. Find the length and width of the rectangle.
Answers
The length and width of the rectangle are 21cm and 19cm.
How to calculate the value?Let the dimensions be represented by x and x+2.
The perimeter of a rectangle is:
= 2(length + width)
= 2(x + x+2) = 80
2x + 2x + 4 = 80
4x + 4 = 80
4x = 80 - 4
4x = 76
Divide
x = 76/4
x = 19
Therefore, the second number will be:
= 19 + 2 = 21
The numbers are 19 and 21.
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HELP ASAP I DON'T UNDERSTAND
Answers
Answer:
-2
Step-by-step explanation:
I did the math, trust me. Just input -2 into the x's and solve.
Answer:
D. x = -6
( 3x-6² - 30x-6 - 72 = 0 )
Step-by-step explanation:
So first you work out:
3x² = ( 3 x -6²) = -108
Then work out 30x = ( 30 x -6 ) = -180
-108 - -180 => 72
Then just do 72 - 72 =
Which would be 0! ☆*:.｡.o(≧▽≦)o.｡.:*☆
hope this helped! xx
a host served two pies, one apple and one cherry. dinner guests ate twenty-five percent of the apple pie and sixty percent of the cherry pie. in all, what fraction of the total pies remained? a 23/20 b 3/4 c 23/40 d 3/5
Answers
The fraction of the total pies remained is option (A) 23/20 is the correct answer.
In this question,
A host served two pies, one apple and one cherry.
Dinner guests ate twenty-five percent of the apple pie and sixty percent of the cherry pie.
Apple pie = 25%
∴ Remaining = 100% - 25%
⇒ 75%
⇒ Fraction of apple pie remained is 3/4
Cherry pie = 60%
∴ Remaining = 100% - 60%
⇒ 40%
⇒ Fraction of cherry pie remained is 2/5
Thus fraction of the total pies remained is
⇒ 3/4 + 2/5
⇒ (15+8) / 20
⇒ 23/20
Hence we can conclude that the fraction of the total pies remained is option (A) 23/20 is the correct answer.
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Vijay's family is leaving for galactic gardens resort once his parents get home from work on friday. their house is 544 miles from the resort. they plan to stop and spend the night at a hotel after 3 hours of driving, then complete the rest of the trip on the second day. if their average speed is 64 miles per hour, how long will they drive on the second day?
Answers
The next day they will drive for about 5.5 hours
In given question, Vijay's house is 544 miles from the resort.
after 3 hours of driving, they stop and spend the night at a hotel and then complete the rest of the trip on the second day.
Let in 3 hours of driving, they completed the 'x' miles of distance from their home.
So, they complete the rest of the trip of 544 - x miles on the second day.
Let t be the time in hours they drive on the second day.
Their average speed is 64 miles per hour.
⇒ 64 = [x + (544 - x) ] / [3 + t]
⇒ 64 = 544 / 3 + t
⇒ 64(3 + t) = 544
⇒ 192 + 64t = 544
⇒ 64t = 352
⇒ t = 5.5 hours
Therefore, The next day they will drive for about 5.5 hours
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Perform the following operation
and express the answer in
scientific notation.
4.3x1027.0×10²
[?]×10]
Answers
Answer:
[tex]4.4161 \times 10 ^{2} [/tex]
[tex]4.3 \times 1027 \times 10 { \\ \\ }^{2} [/tex]
[tex]4416.1 \times 10^{2} [/tex]
[tex]4.4161 \times 10 ^{2} [/tex]
I need help bc I got this one wrong twice lol.
Answers
The answer is H, B and C; And Z, K and R
Step-by-step explanation:
H, B and C; And Z, K and R form a straight line
Solve equation.
6 t-18=30
Answers
To solve the equation, add 18 to both sides, then divide by 6. The solution is t = 8.
A linear equation is an equation of which the highest degree of its variables is 1.
Steps to solve linear equations:
Simplify the expressions. If there are parentheses, remove them by multiplying the corresponding terms.Combine the same terms.Isolate the variable on one side by using subtraction of addition.Use division or multiplication to find the value of the variable.Recall that if we subtract or add the same number to both sides of an equation, it does not change the equality.
The given problem:
Solve 6t-18 = 30
The variable is t. Isolate the variable by adding 18 to both sides:
6t -18 +18 = 30 +18
6t = 48
Divide both sides by 6
6t : 6 = 48 : 6
t = 8 (solved)
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A student was asked to evaluate an expression the students work is shown describe any errors and find the correct value of the expression explain your reasoning
Answers
30 is the correct value of the expression in linear equation .
What in mathematics is a linear equation?
There are only one or two variables in a linear equation. No variable can be multiplied by a number larger than one or used as the denominator of a fraction in a linear equation. All of the points fall on the same line when you identify the values that together make a linear equation true and plot those values on a coordinate grid.The error starts from here- 36-10 + 4
If we are doing addition or subtraction start from left
=36−10+4
=26+4
= 30
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Tanya is 28 years older than Marcus. In 6 years, Tanya will be three times as old as Marcus. How old is Tanya now?
Answers
Answer: 36 years old
Step-by-step explanation:
T=Tanya. M=Marcus
T=M+28
T+6=3(M+6)
T+6-6=3(M+6)-6
T=3(M+6)-6
M+28=3(M+6)-6
M+34=3M+18
34=2M+18
2M=16
M=8
T=M+28
T=8+28
T=36 years old
The current age of Tanya is equivalent to 45 years old.
What is a mathematical function, equation and expression? function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is that Tanya is 28 years older than Marcus. In 6 years, Tanya will be three times as old as Marcus
Assume the initial age of Tanya is {x} years and that of Marcus is {y} years old. So, we can write -
x = y + 28 ....... Eq[1]
x + 6 = 3y ........ Eq[2]
Using Eq[1] in Eq[2], we get -
y + 28 + 6 = 3y
y + 34 = 3y
2y = 34
y = 17
Than, we can write [x] as -
x = 17 + 28
x = 45
Therefore, the current age of Tanya is equivalent to 45 years old.
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Which sum or difference is modeled by the algebra tiles
Answers
Answer:
The answer is C
Step-by-step explanation:
First there are 2x first then there are other x's then two 1 equals 2
Quadrilateral a has side lengths 2,3,5 and 6. quadrilateral b has single length 4,5,8 and 10 could one of the quadrilateral be a scale copy of the other
Answers
Quadrilateral b, is not a scaled copy of Quadrilateral a.
The side length of Quadrilateral a=2,3,5, and 6.
The side length of Quadrilateral b=4,5,8 and 10
Now comparing the Ratio of the Corresponding Sides of two quadrilaterals a and b
2/4 ≠ 5/8
3/5 ≠ 6/10
Since the ratio of corresponding opposite sides is not equal. The two Quadrilateral are Not Similar.
So, We can say that Quadrilateral b, is not a scaled copy of Quadrilateral a.
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Question is below
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V
Answers
The expression, evaluated to the simplest form is -4
Simplifying an expressionFrom the question, we are to simplify the given expression
The given expression is
(9² + 19)/(10² - 5³)
Simplifying the expression
(9² + 19)/(10² - 5³)
9² = 81
10² = 100
5³ = 125
Thus,
The expression becomes
(81 + 19)/(100 - 125)
= 100/-25
= -4
Hence, the expression, evaluated to the simplest form is -4
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on a number line, suppose point e has a coordinate of , and eg. what are the possible coordinates of point g? question content area bottom part 1 the possible coordinates for g are
Answers
The possible coordinates of point G on this number line are either -10 or 14.
What is a number line?A number line can be defined as a type of graph with a graduated straight line which contains both positive and negative numerical values that are placed at equal intervals along its length.
Given the following data:
E = 2.
EG = 12.
On this number line, the coordinate of EG is given by this mathematical expression:
EG = |E - G|
Substituting the given parameters into the expression, we have;
12 = |2 - G|
2 - G = ±12
G = 2 ± 12
Simplifying and evaluating the above expression, we have:
G = 2 + 12
G = 14.
OR
G = 2 - 12
G = -10
Therefore, the possible coordinates of point G on this number line are either -10 or 14.
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Complete Question:
On a number line, suppose point E has a coordinate of 2, and EG= 12. what are the possible coordinates of point G?
How did the values compare the greatest 1/4 -1 1/4 -2 1/4 -1 3/4 -2 1/4
Answers
The values compared to the greatest :
-2 1/4,-1 1/4,-1 3/4, 1/4
Comparing and ordering fractions is an essential part of developing a sense of numbers. This is also an essential skill to have when facing practical questions, such as:
"Would you like to have {\displaystyle {\frac{3}{4}}}{\frac{3}{4 }} d 'a pizza does not, or {\displaystyle {\frac{6}{7}}}{\frac{6}{7}} of a pizza?" There are several ways to compare and order fractions. If you have a calculator, the fastest way is to convert fractions to decimals. If you don't have a calculator, you can make comparisons easily by finding a common denominator or simply using your reasoning skills and what you already know about fractions.
In this way, the given fractions are compared from largest to smallest
-2 1/4,-1 1/4,-1 3/4, 1/4
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Solve the following inequality X-5 > 25
1. -20
Answers
Answer: x>10
Step-by-step explanation:
X-5 > 25-20
x-5+5>5+5
x>5+5
x>10
Find the measures of two complementary angles if the measure of the larger angle is 2 less than 3 times the measure of the smaller angle. The measure of the smaller angle is
°,
and the measure of the larger angle is
°
Answers
The measure of the smaller angle is 23⁰ and the measure of the larger angle is 67⁰.
What are complementary angles?
When the sum of two angles is equal to 90 degrees, they are called complementary angles.
So we can say that two angles are complementary if they sum up to 90 degrees.
From the given statement;
let the larger angle = ylet the smaller angle = xy = 3x - 2 -------(1)
y + x = 90 --------(2) (since they are complementary)
substitute for y in equation (2)
3x - 2 + x = 90
4x = 92
x = 92/4
x = 23 ⁰
y = 3(23) - 2
y = 67⁰
Thus, the measure of the smaller angle is 23⁰ and the measure of the larger angle is 67⁰.
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x+1= 10
Please step by step
Pre algebra
Answers
Answer: x=9
Step-by-step explanation:
x+1= 10
x-1+1=10-1
x=10-1
x=9
If you have a right triangle with 36 square units. what is the scaled value if you go 2-1 , 3-1?
Answers
Answer:
324, 900, 9
Step-by-step explanation:
When a shape has its size increased by a scale factor, the size of its lengths are multiplied by this scale factor, yet its area is actually multiplied by the scale factor squared. This is due to two lengths being multiplied to contribute to the area, not just one. If it was a volume, you would multiply by the scale factor cubed!
Onto the answer, just follow the advice above:
36 * 3^2 = 36 * 9 = 324 square inches,
36 * 5^2 = 36 * 25 = 900 square inches,
36 * 0.5^2 = 36 * 0.25 = 9 square inches.
Hope this helps :)
this is very important... its for alegbra.. please help
Answers
Answer in decimal form = -0.2
Answer as a fraction = -1/5
=========================================================
Explanation:
The term "rate of change" is the same as "slope" for linear equations.
Use the slope formula to get the steps shown below.
[tex](x_1, y_1) = (-3, 3.6) \text{ and } (x_2, y_2) = (5, 2)\\\\m = \frac{y_2 - y_1}{x_2 - x_1}\\\\m = \frac{2-3.6}{5-(-3)}\\\\m = \frac{2-3.6}{5+3}\\\\m = \frac{-1.6}{8}\\\\m = \frac{-16}{80}\\\\m = -\frac{1}{5}\\\\m = -0.2\\\\[/tex]
The decimal value is exact without any rounding done to it.
A slope of -1/5 means we go down 1 unit and to the right 5 units.
slope = rise/run = -1/5
rise = -1 = go down 1
run = 5 = go to the right 5
f(x)=−x
2
+8x+14
\text{Find }f(-8)
Find f(−8)
Answers
The value of the function f(-8) if f(x) = -x^2 +8x + 4 is f(-8) = -124
How to evaluate the function?The equation of the function is given as
f(x) = -x^2 +8x + 4
The expression f(-8) means that x = -8
So, we have:
f(-8) = -(-8)^2 + 8(-8) + 4
Evaluate the exponent and the product
f(-8) = -64 - 64 + 4
Evaluate the sum and the difference
f(-8) = -124
Hence, the value of the function f(-8) if f(x) = -x^2 +8x + 4 is f(-8) = -124
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if 1/3 of a gallon of paint covers 1/8 of a wall, how much paint is needed to cover the entire wall?
Answers
Answer:
8/3 or 2 2/3 gallons
Step-by-step explanation:
1/3 of gallon covers 1/8 of a wall, therefore, the amount of pain is needed to cover the entire wall is 1/3 x 8 = 8/3 or 2 2/3 gallons
which expression can be used to calculate the rate per minute at which the air freshener dispenses sprays? fraction 30 over 6
Answers
Expression of the rate per minute at which air freshener dispenses sprays is equal to fraction 4 over 30.
As given,
The graph represents
x-axis: Time in minutes
y-axis: Number of sprays
Ordered pairs ( 30,4) ,(60, 8) ,( 90,12), and ( 120, 16)
Consider any two points ( 90,12) ,(120 , 16)
Expression of the rate per minute=( y₂ -y₁)/(x₂ -x₁)
=( 16 - 12)/(120 -90)
= 4/30
Therefore, expression of the rate per minute at which air freshener dispenses sprays is equal to fraction 4 over 30.
The complete question is :
The graph shows the number of sprays an automatic air freshener dispenses, y, in x minutes: A graph is shown. On the x-axis, the values are from 0 till 150 in increments of 30 for each grid line, and on the y-axis, the values are from 0 to 20 in increments of 4 for each grid line. The title of the graph on the x-axis is Time in minutes, and the title on the y-axis is Number of Sprays. A line is shown connecting ordered pairs 30, 4 and 60, 8 and 90, 12 and 120,16. The title for the graph is Dispense Rate. Which expression can be used to calculate the rate per minute at which the air freshener dispenses sprays?
fraction 4 over 30
fraction 30 over 4
fraction 30 over 16
fraction 16 over 30
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if you have a table of values like those above and you can find the value for f(n), how would you go about finding the value of f(n-1)? How do f(n) and f(n-1) compare to each other?
Answers
Answer:
spam question
Step-by-step explanation:
Answer:
If you have a table of values like those above and you can find the value for f(n) . you go about finding the value of f (n-1)
Step-by-step explanation:
Suppose 115.2 million households have at least one TV; if 82% have basic cable TV, how many households have basic
cable TV?
Answers
If 115.2 million million households have at least one TV and 82% have basic cable TV, then the number of households have basic cable TV is
94464000.
Given,
The total number of household have at least one TV = 115.2 millions
The percentage of household have basic cable TV = 82%
Then, the number of household have basic cable TV
=115200000×[tex]\frac{82}{100}[/tex]
=94464000
Hence, if 115.2 million million households have at least one TV and 82% have basic cable TV, then the number of households have basic cable TV is 94464000.
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a car is moving at a rate of 65 miles per hour, and the diameter of its wheels is 2 feet. (a) find the number of revolutions per minute the wheels are rotating.
Answers
The revolution per minutes of the wheels rotation is 912 rev/ min
How to determine the number of revolutionsGiven the parameters;
Velocity = 65 miles per hourDiameter = 2 feetConvert the velocity
[tex]v = 65mph = 65 mil/h - (1609m/mil0/(3600s/h)[/tex]
v = 29. 1 m/s
Let's find the circumference
Circumference = 2 π r
radius = diameter/ 2 = 0. 6096 meters/ 2 = 0. 30 meters
Circumference= 2 × 3. 142 × 0. 30 = 1. 915
Number of revolutions = 29. 1/ 1. 915 = 15.2 rev/ sec
Let's convert to rev/ min
= 15. 2 × 60
= 912 rev/ min
Thus, the revolution per minutes of the wheels rotation is 912 rev/ min
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PLEASE HELP URGENTLY
Answers
Answer:
A) (4,1)
B) (2,-1)
“What is the geometric relationship between the labels angles? What is the relationship of their measures? Then use the relationship to write an equation and solve for x!”
Answers
Using complementary and supplementary angles, we have that:
c. The angles are complementary, hence the equation is 4x - 3 + 2x + 1 = 90 and the solution is x = 15.33.
d. The angles are supplementary, hence the equation is 43x + 16 + 110 = 180 and the solution is x = 18.
What are complementary angles?When the measures of two angles add to 90º, the angles are complementary.
This is the case in item c, hence:
4x - 3 + 2x + 1 = 90
6x = 92
x = 92/6
x = 15.33.
What are supplementary angles?When the measures of two angles add to 180º, the angles are supplementary.
This is the case in item d, hence:
3x + 16 + 110 = 180.
3x = 54
x = 54/3
x = 18.
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5×62+6×33-68 (help pls I need it
Answers
Answer:
440
Step-by-step explanation:
To do this problem, you have to follow the PEMDAS order.
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
We have to do 5x62 first, which is 310. Next, we multiply 6 and 33, which gets us 198. Then, we add 310 to 198, which is 508. Finally, we subtract 68 from 508 to get 440.
Hope this helps!
Have a wonderful day! :D
First multiple 62x5 by using calculator then add that total with 6 then multiple with the result u got by 33 then subtract-that total with 68. And u will get answer 440
Complete the statement to describe the expression ab + cdab+cda, b, plus, c, d.
The expression consists of
terms, and each term contains
factors
Answers
The expression contains FOUR terms, each with TWO factors.
What are expressions?In mathematics, an expression is a sentence that contains at least two numbers or variables and at least one mathematical operation. This math operation can be addition, subtraction, multiplication, or division. An expression has the following structure: The expression is (Number/variable, Math Operator, Number/variable).Expression information: In algebra, the word term defined the single numbers(10), variables(y), and the product of the two (10y).
In the following expression: ab+cd+ef+ghThere are four terms:
abcdefghA factor is a component of a product.
For the given equation, we will have four terms, each with two factors.Therefore, the expression contains FOUR terms, each with TWO factors.
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The correct question is given below:
Complete the statement to describe the expression ab+cd+ef+ghab+cd+ef+gha, b, plus, c, d, plus, e, f, plus, g, h. The expression consists of ----- terms, and each term contains ----- factors. Please fill in the blanks!