Figure A is a scale image of figure B.
Figure A maps to figure B with a scale factor of 2 1/2
What is the value of x
Answers
The value of x is equal to 2, for the figure A which maps to figure B with a scale factor of 2 1/2 .
What is scale factorScale factor is the ratio between the scale of a given original object and a new object, which is its representation but of a different size either bigger or smaller.
From the question, figure A maps to figure B with a scale factor of 2 1/2 which implies that figure B was made bigger by multiplying with 2 1/2 , so we can evaluate for the value of x as follows:
2 1/2 = 5/2
x = 5 ÷ (5/2) {changing division to multiplication}
x = 5 × 2/5 {cancel out 5}
x = 2
Therefore, the value of x is equal to 2, using the scale factor of 2 1/2 for figure A and figure B.
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Related Questions
If 400 m long fencing wire is required to surround a square flower garden 2 times, find length of the garden. -Maths Links Book 6 Approved by CD
Answers
Answer:
garden=400/2
=200
4× side = perimeter=200
So, =200/4
=50 m.
Step-by-step explanation:
Answer:
Length of garden is 50 m.
Step-by-step explanation:
Fence required for 1 time,
→ 400 ÷ 2
→ 200 m
Perimeter of square formula is,
→ P = 4 × L
Now length of the garden will be,
→ P = 4 × L
→ 200 = 4L
→ 4L = 200
→ L = 200/4
→ [ L = 50 m ]
Hence, length of garden is 50 m.
Help meee please !!!???
Answers
Answer:
Step-by-step explanation:
it is c
Which ordered pair is a solution of the
equation?
-3x + 5y = 2x + 3y
Answers
Answer:
Solve the equation for [tex]{y}[/tex].
[tex]y=\frac{5x}{2}[/tex]
Choose any value for [tex]{x}[/tex] that is in the domain to plug into the equation.
Choose [tex]{0}[/tex] to substitute in for [tex]{x}[/tex] to find the ordered pair.
[tex]{(0,0)}[/tex]
Choose [tex]{1}[/tex] to substitute in for [tex]{x}[/tex] to find the ordered pair.
[tex](1,\frac{5}{2})[/tex]
Choose [tex]{2}[/tex] to substitute in for [tex]{x}[/tex] to find the ordered pair.
[tex]{(2,5)}[/tex]
These are three possible solutions to the equation.
[tex]{(0,0),}[/tex] [tex](1,\frac{5}{2} )[/tex], [tex]{(2,5)}[/tex]
1. Eliminate x on the left side
-3x + 5y + 3x = 2x + 3y + 3x
5y = 5x + 3y
2. Eliminate y on the right side
5y - 3y = 5x
2y = 5x
3. Divide both sides by the coefficient of y
2 / 2 = 1
5 / 2 = 5/2
4. Simplify
y = 5/2x
The ordered pair(s) representative of the solution to this equation would be (2, 5), (0, 0), or (1, 5/2).
miley believes that listening to white noise can enhance verbal exam performance. she takes a random sample of college students and randomly assigns each student to one of two groups-the quiet group and the white noise group. the quiet group is asked to take a verbal exam in a completely silent classroom. the white noise group is asked to take the same exam in a classroom in which white noise is playing in the background. all students have one hour to complete the exam. miley will then compare the mean exam score for the two groups. suppose miley makes a type i error. in terms of the scenario, what would this mean?
Answers
A Type I error in this scenario would mean that Miley would conclude that the noise impacts the students when in fact it doesn't.
What are Type I errors and Type II errors?The definitions of Type I errors and Type II errors are presented as follows:
Type I: Rejection of a true null hypothesis, meaning that the null hypothesis is true, but a sample gives you enough evidence to reject it.Type II: Non-rejection of a false null hypothesis, meaning that the null hypothesis is false, but the sample does not give you enough evidence to reject it.The hypotheses tested in this problem are given as follows:
Null hypothesis: not enough evidence to conclude that there are differences in the exam scores.Alternative hypothesis: enough evidence to conclude that there are differences in the exam scores.A Type I error would mean that she rejected a true null hypothesis, meaning that Miley would conclude that the noise impacts the students when in fact it doesn't.
(rejected null hypothesis means that there is enough evidence to conclude that there are differences).
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What is the answer to 21≥3(a−7)+9
Answers
This graph shows fuel consumption for a car during a test run. Three of the statements are true. Which is NOT?
Line graph. X axis labeled miles; y axis labeled gallons. Line with upward arrow extends from point where X and Y axes connect (0, 0) with one marked coordinate (73.5, 3.5).
The car used 312 gallons of gas to go nearly 75 miles.
The car used 70 gallons of gas to go 3 miles.
The car used gas at a unit rate of 21 miles per gallon.
At this rate, it would take 4 gallons of gas to travel 84 miles.
Answers
In the graph showing fuel consumption for a car during a test run the correct statement is
At this rate, it would take 4 gallons of gas to travel 84 miles.How to find the correct statementThe information given in the problem will help to find the equation of the graph in the form
y = mx + c
definition of variable to suit the problem
y = output variable = number of gallons
m = slope
x = input variable = number of miles
c = y intercept
The slope
= (3.5 - 0) / (73.5 - 0)
= 0.05
the y intercept is 0
the equation of the line is y = 0.05x
Only option the last option fits the equation as shown
number of gallons = 0.05 * number of miles
= 0.05 * 84 miles
= 4.2 gallons
= 4 gallons
hence the last option is the correct choice
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PLEASE HELP ME!!!!!! THIS IS DUE ON FRIDAY!!!!!! (There is another part)
Answers
Answer:
it's c trust me I had the same problem
Which tatement i not true?
B. All counting number are rational number. D. Zero i not a rational number. C. A mixed number i a rational number. A. The et of rational number include the et of integer
Answers
Answer: D. Zero is not a rational number
Step-by-step explanation:
[tex]0=\frac{0}{1}[/tex]. Thus, by definition, zero is rational.
O
Given the function defined in the table below, find the average rate of change, in
simplest form, of the function over the interval 0≤x≤ 4.
x
0
1
2
32
4
5
3
6
12
24
48
96
Answers
The average rate of change of the function at the interval 0 ≤ x ≤ 4 is 11.25
How to determine the average rate of changeFrom the question, we have the following parameters that can be used in our computation:
x 0 1 2 3 4 5
y 3 6 12 24 48 96
The interval is given as
0 ≤ x ≤ 4
On the table, we have
x = 0 and y = 3
x = 4 and y = 48
This means that
f(0) = 3 and f(4) = 48
The average rate of change is then calculated as
Average rate of change = [f(4) - f(0)]/[4 - 0]
Substitute the known values in the above equation, so, we have the following representation
Average rate of change = [48 - 3]/[4 - 0]
Evaluate
Average rate of change = 11.25
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Find the surface area 5 4 7 6 8 triangular
Answers
The surface area of the triangular prism is 136 square units
How to determine the surface areaFrom the question, we have the following parameters that can be used in our computation (see attachment):
Rectangles (2) = 7 units by 5 unitsRectangles (1) = 7 units by 6 unitsTriangles (2) = 4 units by 6 unitsThe surface area of the triangular prism is the sum of the areas of the above shapes
So, we have
Surface area = 2 * area of rectangle 1 + 1 * area of rectangle 2 + 2 * area of triangle 1
Substitute the known values in the above equation, so, we have the following representation
Surface area = 2 * 7 * 5 + 1 * 7 * 6 + 2 * 0.5 * 4 * 6
Evaluate
Surface area = 136
Hence, the surface area is 136 square units
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2
Write the answer in each blank.
Of these numbers
745 281 578 170
is the smallest
is the largest
Answers
Answer:
170 is the smallest
745 is the largest
Step-by-step explanation:
It is what it is
miguel is mixing up a salad dressing. regardless of the number of servings, the recipe requires that 58 of the finished dressing mix be olive oil, 14 vinegar, and the remainder an even mixture of salt, pepper and sugar. if miguel accidentally doubles the vinegar and forgets the sugar altogether, what proportion of the botched dressing will be olive oil?
Answers
44 is the proportion of the botched dressing will be olive oil.
Given, Miguel is mixing up a salad dressing. regardless of the number of servings,
the recipe requires that 58 of the finished dressing mix be olive oil, 14 vinegar, and the remainder an even mixture of salt, pepper and sugar. if he accidentally doubles the vinegar and forgets the sugar altogether,
we have to find the proportion of the botched dressing that will be olive oil.
first we will find the amount of the even mixture of salt, pepper and sugar.
as, olive oil + vinegar + even mixture of salt, pepper and sugar = 100
58 + 14 + mixture of salt, pepper and sugar = 100
mixture of salt, pepper and sugar = 100 - 72
mixture of salt, pepper and sugar = 28
if he mixed doubles of the vinegar i.e. 28 then olive oil be,
x + 28 + 28 = 100
x = 100 - 56
x = 44
Hence, 44 is the proportion of the botched dressing will be olive oil.
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Which of the following equations represent linear functions?Select all that apply
Answers
y = 7²,y + (1/2)x = 9 and 2.3 = y - 5.8x are the linear function thus option (A),(D) and (F) are correct.
What is a linear function?A straight line on the coordinate plane is represented by a linear function.
The formula for a linear function is f(x) = ax + b, where a and b are real values.
A linear function is a line in a coordinate plane with a constant slope and can be written in form of y = mx + c.
Thus the degree of x and y will be 1.
For example, y = 7² can be written as, y = 0(x) + 7² so it will be a linear line.
Another y + (1/2)x = 9 and 2.3 = y - 5.8x are can be written as y = mx + c so they will be linear functions.
Hence "the functions y = 7²,y + (1/2)x = 9 and 2.3 = y - 5.8x are the linear function".
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The bottom of a ladder must be placed 5 feet from a wall. The ladder is x ft long. The ladder touches the wall 10 ft from the ground. How tall is the ladder? Round to the nearest whole number. 18 ft
Answers
Using Pythagoras theorem, the length of the ladder is 11 feet
Pythagoras TheoremThe Pythagoras theorem states that if a triangle is right-angled (90 degrees), then the square of the hypotenuse is equal to the sum of the squares of the other two sides. Observe the following triangle xyz, in which we have x² = y² +z². Here, y is the base, z is the altitude (height), and x is the hypotenuse. It is to be noted that the hypotenuse is the longest side of a right-angled triangle.
Data;
x = hypothenuse = length of laddery = 5 feetz = 10 feetUsing Pythagoras theorem;
x = 5² + 10²
x = 25 + 100
x = 125
x = √25
x = 11ft
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meghan and sara are on their way to disneyland. they travel 65 mph (miles/hour) for 2.2 hours and then stop for a 45-minute lunch break. after lunch they travel 55 mph for another 3.8 hours until they reach disneyland. what is their average speed, in miles/hour, for the entire duration of the trip? (round your answer to the nearest whole number. d
Answers
The average speed for the entire duration of trip is 52 mph.
The total distance traveled by an object in a given time frame is defined as its average speed. It is computed by dividing the entire distance traveled by the total amount of time spent.
Given,
S1 = 65 mph , T1 = 2.2 hours
S2= 0 mph (during lunch break) , T2 = 45 min = 45 / 60 hour
=0.75 hour
S3= 55mph , T3 = 3.8 hours
Therefore, S avg =(S1T1 + S2T2 + S3T3)/(T1 + T2 + T3)
=(65×2.2 + 0 ×0.75 + 55×3.8)/(2.2 + 0.75 + 3.8)
= 52.148 mph
The average speed for the entire duration of trip is 52 mph.
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(HELP-)
On the day of the test, the teacher instructed the students to take out at least 3 pencils from their backpacks.
Determine which inequality represents this scenario.
3 < p
3 > p
3 ≥ p
3 ≤ p
Chad purchased a new dirt bike for a competition. The salesperson recommended that the tires maintain an air pressure of at least 12psi for good traction on the riding surface.
Determine which inequality represents the salesperson's recommendation.
number line with open circle on the number 12 and line shaded to the left
number line with closed circle on the number 12 and line shaded to the left
number line with closed circle on the number 12 and line shaded to the right
number line with open circle on the number 12 and line shaded to the right
Ms. Rumble's history class conducted interviews with their grandparents for a class project. The grandparents at least 89 years old knew that Amelia Earhart was the first woman to fly solo across the Atlantic Ocean.
Determine the graph to represent this scenario.
number line with open circle on the number 89 and line shaded to the right
number line with closed circle on the number 89 and line shaded to the right
number line with closed circle on the number 89 and line shaded to the left
number line with open circle on the number 89 and line shaded to the left
Wyatt had to climb the stairs to ride the waterslide. The top of the waterslide was more than 56 feet from the ground. Which graph represents this inequality?
number line with open circle on the number 56 and line shaded to the left
number line with closed circle on the number 56 and line shaded to the left
number line with a open circle on the number 56 and line shaded to the right
number line with an closed circle on the number 56 and line shaded to the right
Zan took her dog, Simba, to the dog park on Saturday afternoon. There were more than 20 dogs running around the park when they arrived.
Determine which inequality describes the dogs at the park.
d < 20
d > 20
d ≥ 20
d ≤ 20
Answers
The inequality which can represent the above scenario is 3 ≤ p
What is Inequality ?
In mathematical expressions, inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. The symbols we will use in this instead of equals to are Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs.
≤ - less than or equal to
≥ - greater than or equal to
≠ - Not equal
Main Body:
Given:
On the day of the test, the teacher instructed the students to take out at least 3 pencils from their backpacks.
To find:
Determine which inequality represents this scenario.
Let us know about Inequality
In the given scenario,
The teacher asked the to take out at least 3 pencils from their backpacks. which the students can take out 3 pencils or 2 or 1 pencil (which is less than 3) but not greater than 3.
Therefore,The inequality which can represent the above scenario is 3 ≤ p
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By rounding to 1 significant figure, estimate
101
×
52
Answers
The significant figure by multiplying 101 with 52 is 5000.
What is significant figures?The number of digits in a value, often a measurement, that contribute to the degree of accuracy of the value is referred to as significant figures. At the first non-zero digit, we begin counting significant figures.A number's first significant figure is the first digit that is not zero.To round to the nearest one, ten, hundred, thousand, and so on, change all digits to the right of the rounding digit to zeroes.Here given,
101 x 52
Round 101 to 100 and 52 to 50, then multiply together to get 5000.
Significant Figures: 1
Decimals: 0
The significant notation: 5e+3
Therefore the significant notation is 5000.
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Please help
The linear combination method gives a solution of (-4,2) for which a of these systems of linear equations?
A) 3x+13y=14
6x+11y=-2
B)4x+5y=12
8x+3y=-4
C) 5x+4y=12
7x+8y=12
D) 10x+3y=8
17x+6y=10
Please show your work
Answers
Using the provided points, Applying the substitution of the points in these system of linear equations. The equations which satisfies the points are the required answer. The answer is A) 3x+13y =14 and 6x+11y=-2
What is a equation?The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions.
What do you mean by system of linear equation?The set of two or more linear equations containing the same variables is known as a system of linear equations in mathematics. In this case, linear equations are first-order equations, where the maximum power of the variable is 1. One, two, or three variables may be present in a linear equation.
point = (-4,2)
for option A) 3*-4 +13*2 =14
14=14
and 6*-4 + 11*2 = -2
-2 = -2
For other options these equality doesn't holds.
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Elijah bought stock in a company two years ago that was worth a dollars. During the
first year that he owned the stock, it increased by 35%. During the second year the
value of the stock increased by 11%. Write an expression in terms of a that represents
the value of the stock after the two years have passed.
Answers
Answer:
x + .35X - .11(x - .35x)
Step-by-step explanation:
Let x = the original price of the stock.
x + .35x This is first year
-.11( x + .35x) is the second year
x + .35X - .11(x - .35x)
Brendan deposited $3,967 in an account earning 5% interest compounded annually.
To the nearest cent, how much interest will he earn in 5 years?
Answers
The interest earned in 5 years is $1096.
What is interest?Interest is the fee a business pays a lender (creditor) to borrow money.
Given that, Brendan deposited $3,967 in an account earning 5% interest compounded annually.
A = P(1+r/100)ⁿ
n = 5, r = 5% = 0.05, P = 3967 and a = amount earned
A = 3967(1+0.05)⁵
A = 3967(1.05)⁵
A = 5063
Interest earned = amount - principal
Interest = 5063-3967
Interest = $1096
Hence, Brendan earned $1096 as interest.
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Answer:
$1096.01
Step-by-step explanation:
Ramón makes nectar for a hummingbird feeder by mixing 8 cups of water with 2 cups of sugar. Tiffany makes nectar by mixing 9 cups of water with 3 cups of sugar. Whose nectar is more sugary? Explain.
Answers
Answer: Tiffany
Step-by-step explanation: Ramon Ratio 8:2 can be reduced to 1 cup of sugar every 4 cups of water. Tiffany Ration is 9:3 which is reduced to 1 cup of sugar every 3 cups of water.
Please help me with this
Answers
B R= 6
Can I get a Brainly
CHALLENGE:
Combine like terms:
3y + 4xy + x + 2y + 2xy + x + 10 + 1
Answers
Answer: 2x+6xy+5y+11
Step-by-step explanation:
a student needs 11 more classes to graduate. if she has met the prerequisites for all the classes, how many possible schedules for next semester could she make if she plans to take 4 classes?
Answers
We can conclude that the number of possible schedules for next semester could she make is 7920.
In more mathematical terms, the factorial of a number (n!) is equal to
n(n-1). For example, if you want to calculate the factorial for four, you would write: 4! = 4 x 3 x 2 x 1 = 24.
Given that,
The student needs 11 more classes to graduate.
And, possible schedules for next semester could she make if she plans to take 4 classes
Based on the given expression, the calculation is as follows:
The combination formula is given to be:
[tex]n_{C} _{r} =\frac{n!}{r!(n-r)!}[/tex]
= [tex]11_{C} _{4}[/tex] ! * 4 !
= [tex]\frac{11 !}{4!(11-4)!}[/tex] * 4 !
= [tex]\frac{11!}{4!7!}[/tex] * 4 !
= [tex]\frac{11*10*9*8*7*6*5*4*3*2*1}{4*3*2*1*7*6*5*4*3*2*1}[/tex] * 4 !
We can cancel the coefficients,
= [tex]\frac{11*10*9*8}{4*3*2*1}[/tex] * 4 !
= [tex]\frac{7920}{24}[/tex] * 4 !
= 330* 4 !
= 330 * 4*3*2*1
= 7920
Therefore,
We can conclude that the number of possible schedules for next semester could she make is 7920.
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Salma finds some nickels and pennies
under the couch cushions. How much
money (in dollars) does she have if she
has 100 nickels and 150 pennies? How
much money (in dollars) does she have if
she has a nickels and y pennies?
Total value, 100 nickels and 150
pennies (dollars):
Total value, x nickels and y pennies
(dollars):
Answers
Answer:
$6.50
0.05x + 0.01y
Step-by-step explanation:
There are 100 pennies in a dollar. So each penny is 1/100 = $0.01
Each nickel is worth 5 pennies. So there are 20 nickels per dollar and therefore each nickel is worth 20/100 = $0.05
If you have 100 nickels, this works out to 0.05 x 100 = $5.00
If you have 150 pennies this works out to 0.01 x 150 = $1.50
Total value = 5 + 1.50 = $6.50
If you have x nickels and y pennies then that, inn dollar amount, would work out to
0.05x + 0.01y
Joe bought a box of laundry that contains 195 scoops. Each load of laundry uses 1 1/2 scoops. If the box of detergent costs $19.99, how much is he paying per load of laundry?
Answers
0.563 $ is he paying per load of laundry
What is business mathematics?
Business mathematics is the branch of mathematics utilized by businesses to track and coordinate their operations. Accounting, inventory management, marketing, sales forecasting, and financial analysis are all areas where commercial businesses apply mathematics.
Simple arithmetic, elementary algebra, statistics, and probability are all frequently utilized in business. More complex arithmetic, such as calculus, matrix algebra, and linear programming, may be used to solve some management challenges.
According to question:
Total scoop contained in detergent box = 195 scoops.
Scoops used by each load of laundry = 11/2 scoops = 5.5 scoops
Number of laundry he can do with this box = 195/5.5
= 35.45 laundries.
Price of detergent box = 19.99 $
Price he paying for each load = Total price/ Number of loads
= 19.99/35.45
= 0.5638928067700
= 0.563 $ (Approx)
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Complete the equation of the line whose yyy-intercept is (0,-1)(0,−1)left parenthesis, 0, comma, minus, 1, right parenthesis and slope is 444.
Answers
The complete equation in the slope-intercept form is y = 4x-1.
What is a slope?In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.
If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,
then the equation of line is
y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)
To find the slope;
m = (y₂- y₁) / (x₂ - x₁)
So, the equation is,
y - y₁ = m (x - x₁)
And the standard form of the slope-intercept form:
y = mx+b,
where m is the slope and b is the y-intercept.
From the question, we have
m = 4 and coordinates of b is (0, -1).
So, the equation is,
y + 1 = 4 (x - 0)
y +1 = 4x
y = 4x-1
Therefore, the equation is y = 4x-1.
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please help me I don’t get this
Answers
The operations between functions are:
a) h(f(3)) = 5
b) (f×g)(4) = -8
c) f( g(h(0))) -1
How to operate with functions?
The first thing we want to find is a composition, we want to find:
h(f(3))
That means that we need to evaluate h(x) in f(3), look at the graph and you can see that f(3) = -4
Replacing that we get:
h(f(3)) = h(-4)
And on the graph, we can see that h(-4) = 5
then h(f(3)) = 5
b) Now we have the product:
(f×g)(4) = f(4)*g(4)
Again, looking at the graph:
f(4) = -4
g(4) = 2
Then:
(f×g)(4) = f(4)*f(4)
(f×g)(4) = -4*2
(f×g)(4) = -8
c) Finally we have other composition:
f( g(h(0)))
So we have 2 compositions, first we find:
h(0) = 5
f( g(h(0))) = f(g(5))
Then:
g(5) = 0
f( g(5)) = f(0)
Finally, look at the graph and you can see that f(0) = -1
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A photo is 16in long and 126cm wide.what is the approximate area of the picture in square feet?
Answers
The picture has the dimension of a rectangle and will have the area of 66.166 in square feet.
How to calculate for the areaWe have to convert the length and width to be in same unit, before calculating for the area by multiplying the length by the width, and then convert the result to be in square feet.
1 cm = 0.394 inches
126 cm = 126 × 0.394 inches
126 cm = 49.644 inches
So the picture has length 16 inches and width 49.644 inches
area of picture = 16 inches × 49.644 inches
area of picture = 794.304 square inches
1 inch = 0.0833 feet
794.304 square inches = 794.304 × 0.0833 square feet
794.304 square inches = 66.166 square feet.
In conclusion, the picture has an area of 66.166 square feet.
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Answer question #8
Give a short answer responding the question that’s being asked
The response written in the box isn’t correct so I need help
Answers
The conclusion is that the angle which measures 120° is not Acute angle.
What are angles ?The construction of an angle is a type of geometric shape made by connecting two rays at their termini. Three letters that make up the form of the angle can alternatively be used to symbolise the angle, with the middle letter indicating the location of the angle (i.e.its vertex). Greek characters such θ, α, β, etc. are frequently used to denote angles.
In geometry, there are mainly six different kinds of angles. All angles have the following names and characteristics:
The acute angle ranges from 0° to 90°.The obtuse angle ranges from 90° to 180°.Right Angle: The angle that is 90 degrees precisely.Direct Angle: the angle that is exactly 180 degreesReflex Angle: The angle between 180 degrees and 360 degrees that is bigger than 180 degrees.360-degree full rotation: The whole rotation of an angle.Angle B measures 120°.
Here the angle is more than 90° so the angle is not acute.
The conclusion is that the angle which measures 120° is not Acute angle.
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