100 POINTS Which statement about this figure is true?
It has no rotational symmetry.
It has rotational symmetry with an angle of rotation of 90°.
It has reflectional symmetry with four lines of symmetry.
It has point symmetry
before you answer, just know it does have rotational symmetry, just not 90° so A and B are out. i'm just stumped about C and D
Answers
Answer:
It has reflectional symmetry with four lines of symmetry.
Step-by-step explanation:
======================================================
Explanation:
Choice A is false since it does have rotational symmetry. See choice B.
Choice B is close, but the "90 degrees" needs to be "45 degrees". Each 45 degree rotation of the figure has the "before" and "after" be the same.
Choice C is one of the answers. There's a vertical line of symmetry, and a horizontal one as well. Then there are two diagonal lines of symmetry. Each goes through the center. A line of symmetry is a mirror line to allow us to reflect one half over this line to get the other half.
Choice D is another answer. It has point symmetry since we can pick any point on the figure and reflect it over the center point, to land on a corresponding image point on the opposite side of the figure. For example, the northern most point reflects over the center to land on the southern most point.
Related Questions
Sigma notation for 22, 28, 34, 40, 46
Answers
The sigma notation for the sequence 22, 28, 34, 40, 46 is as follows:
[tex]\sum_{n = 0}^{n = 4} 22 + 6n[/tex]
How to represent a notation in sigma notation?A sequence is represented in sigma notation according to the following rule:
[tex]\sum_{n = 0}^{n = N-1} a + bn[/tex]
In which the parameters are described as follows:
N is the number of terms in the sequence.a is the first term of the sequence.b is the common difference between the terms of the sequence.In the context of this problem, the sequence is:
22, 28, 34, 40, 46.
Hence the values of these parameters are given as follows:
N = 5, as there are 5 terms in the sequence.a = 22, which is the first term of the sequence.b = 6, as the difference between each term of the sequence is.Hence the sigma notation of the sequence is given by:
[tex]\sum_{n = 0}^{n = 4} 22 + 6n[/tex]
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Complete the equation of the line through (4, -8) and (8,5).
Answers
I WILL FIND THE GRADIENT FIRST
[tex]m = \frac{y2 - y1}{x2 - x1} \\ = \frac{5 - ( - 8)}{8 - 4} \\ m = \frac{5 + 8}{4} \\ m = \frac{13}{4} [/tex]
THE GENERAL EQUATION OF A STRAIGHT LINE IS y=mx+c
I will use the point (8,5)
to find the value of c
[tex]5 = \frac{13}{4} (8) + c \\ 5 = \frac{104}{4} + c \\ c = 5 - \frac{104}{4} \\ c = - \frac{84}{4} \\ c = -21[/tex]
THE EQUATION IS
[tex]y = \frac{13}{4} x - 21[/tex]
How to solve Y=2x-1 2x+y=3 in solving systems using substitution
Answers
Answer:
x = 1, y = 1
Step-by-step explanation:
This Question involves the concept of Solving Simulteanous Equations.
Simulteanous EquationsSimulteanous Equations are 2 sets of equation with 2 unknownes to solve. Methods used are Substitution and Elimination methods, use either to solve unless question specify a method.
Example:
2x + 4y = 67
3x + 9y = 90
ApplicationWe are given the 2 equations:
y = 2x - 1 (Equation 1)
2x + y = 3 (Equation 2)
We are asked to use the Substitution Method.
We first substitute Equation 1 to Equation 2 to find the value of x.
2x + (2x - 1) = 3
2x + 2x - 1 = 3
4x - 1 = 3
4x = 3 + 1
4x = 4
x = 4 ÷ 4 = 1
Now we can substitute x into Equation 1 to find the value of y.
y = 2(1) - 1
y = 2 - 1 = 1
9th grade math HHhH HHhH
Answers
Answer:y=-x+3
Step-by-step explanation:
Are the following Parallel, Perpendicular, or neither: y = 2x - 5 and -x + 2y = -5
Answers
two lines are parallel if their slope is equal
equation of line is
y=mx+c
where m=slope
for y=2x-5
m=2
for -x+2y=-5
2y=-5+x
y=-5/2+x/2
m=1/2
lines are nor parallel becuase m (slope) is not equal
now we will test for perpendicularity
perpendicular lines have slopes that are reciprocal of each other
first line , m=2
second line, m=1/2
2 and 1/2 are reciprocals
therefore, the lines are perpendicular
how many 1/5 inch pieces can be cut from a piece of ribbon 7/20 of an inch long.
Answers
1) Gathering the data
1/5 inch
7/20 inches long
2) Let's them divide, 7/20 by 1/5 inches
When divide fractions, we multiply the reciprocal of the second fraction
and if possible we can simplify
solve 2/3x + 4 = 5/6x by eliminating the fraction.
Answers
The value of x in the given equation is 24.
Given equation:
(2/3)x + 4 = (5/6)x
We have to find the value of x by eliminating the fraction.
Fraction
Fraction is termed as a portion or section of any quantity. It is denoted by using ‘/’ symbol, such as a/b. For example, in 2/4 is a fraction where the upper part denotes the numerator and the lower part is the denominator.
LCM (3,6) = 6
Multiplying the whole equation by 6, we get:-
(2/3)x*6 + 4*6 = (5/6)x*6
4x + 24 = 5x
5x - 4x = 24
x = 24
Hence, the value of x is 24.
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first answer will be brainliest
You decide to use a scale of 1 in: 7 ft to make a scale drawing of your classroom. If the actual length of your classroom is 49 feet, what should the length of the classroom in the drawing be?
Answers
The dimension of the length of the classroom in the drawing is calculated to be 7 ft
What is scale of a map?The scale of a map represents by how much a map is reduced or increased. Most of the times the map is smaller than what is being represented hence the scale is usually a reduction.
How to find the length of the classroom in the drawingGive that
1 in in drawing represent 7 ft in actual length
If the actual length of your classroom is 49 feet then we solve as follows to get the dimension in the drawing:
1 in = 7 ft
? in = 49 ft
cross multiplying gives
7 * ? = 49 * 1
? = 49 / 7
? = 7 in
Hence, the conclusion is that the unknown dimension in the drawing represented as ? is equal to 7 in.
This implies that 7 in in the drawing represents actual distance of 49 ft and this is a reduction
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Modeling with Mathematics:
A square-shaped parking lot with 100-foot sides is reduced by x feet on one side and extended by x feet on an adjacent side.
a) The area of the new parking lot is represpresented by (100+ x)(100 – x).
Find this product.
b) Does this area of the parking lot increase, decrease, or stay the same? Explain your thinking. (You can use example values for x to help explain.)
Answers
Answer:
a) Difference of squares:
[tex]10000 - {x}^{2} [/tex]
b) The area of the parking lot decreases because x^2 is subtracted from 10,000.
[tex]10000 - {1}^{2} = 10000 - 1 = 9999[/tex]
[tex]10000 - {2}^{2} = 10000 - 4 = 9996[/tex]
Rewrite the following equation as a function of x.
1+ 3y - 29 = 0
O A. f(x)
f(x) = 9,2808 2
OB. f(x) = -9,280 +
O c. f(x) = -9,280 + 20
O D. f(x) = 9,280
1
20x
Answers
Judy is 12 years old and is 8 years old mukta is 16 years old which of the following ratios best expresses the relationship between the ages 4 ratio 3 ratio to 2 ratio 3 ratio 4:3 ratio 2 ratio 4:3 ratio 4 ratio 2 ratio 4 ratio 3
Answers
Age of Judy = 12 yrs old
Age of x = 8 yrs old
Age of Mukta= 16 yrs old
Ratio between the 3 ages = 12 : 8 : 16
Since all the three numbers are divisible by 4
Therefore the ratio comes out to be 3 : 2 : 4 or 3 ratio 2 ratio 4
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Answer:
= 12 : 8 : 16
all the three numbers are divisible by 4
the ratio is 3 : 2 : 4
2. WRITING Describe the relationship between the angle measures of
angles, supplementary angles, vertical angles, and
complementary
linear pairs.
Please help
Answers
Answer:
yes
Step-by-step explanation:
What is the midpoint of A B if A = (−2, 2) and B = (3, −1)? Enter your answer in the boxes below. Midpoint of A B = ( , )
Answers
The coordinate of the midpoint AB is (1/2, 1/2)
How to determine the midpoint?From the question, the coordinates of the points are given as
A = (-2, 2)
B = (3, -1)
The midpoint of a line or points is then calculated using the following midpoint formula
Midpoint = 1/2 * (x₂ + x₁, y₂ + y₁)
Where x and y are the coordinates of A and B
Substitute the known values in the above equation
So, we have the following equation
AB = 1/2 * (-2 + 3, 2 - 1)
Evaluate the sum
AB = 1/2 * (1, 1)
Evaluate the products
AB = (1/2, 1/2)
Hence, the midpoint is (1/2, 1/2)
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pls help due nowwwwwwwwwwwwwww
Answers
Answer:
A
Step-by-step explanation:
once tearra started buying games her money decreased by $35.50
12. Find the value of x.
+f
(7x+4) +(10x-11)=180 mid segment
Answers
The value of x is 11.
What is an equation?
Equations are mathematical statements which contains two algebraic expressions on both sides of an equal to '=' sign. it represents the relationship of equality among the expressions.
We are given an equation (7x+4)+(10x-11)=180
We open brackets and simplify the equation by adding similar values we get
17x-7=180
17x=187
on dividing both sides by 17 we get
x=11
Hence the value of x is 11
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You downloaded a video game to your computer. You have a 60-minute free block of time for the game. It
takes 5 minutes to set up the game and 7 minutes to play each level of the game. Write an inequality to
determine the number of levels you can play in 60 minutes. How many levels can you play for free? Write an Inequality
Answers
An inequality to determine the number of levels you can play in 60 minutes is 5 + 7l ≤60
What is a linear equation?
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
Here, it is given that :
Time for setting up the game = 5 minutes
Time to play each level = 7 minutes
Let l represent the number of levels played.
So, Time to play l levels = 7l
So, b = 5+7l
Now we are required to Write an inequality to determine the number of levels you can play in 60 minutes.
So, the inequality becomes :
5 + 7l ≤60
Hence an inequality to determine the number of levels you can play in 60 minutes is 5 + 7l ≤60
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3a. Sketch the line that goes through the points A(4,3) and B( 8, 1)Find the slope and the equation of line AB3b. Find the length of segment AB3c. Find the midpoint of segment AB
Answers
Hello! First, let's remember:
We can write a point as a cartesian coordinate (x, y).
The exercise has given two points, A(4,3) and B(8,1).
a. Slope:To calculate the slope of a line, we can use the formula below:
[tex]\text{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]Let's consider A equal to the first point (4, 3) = (x1, y1), and B will be the second point (8, 1) = (x2, y2). Replacing these values in the formula:
[tex]\text{Slope}=\frac{1_{}-(3)_{}}{8-(4)}=\frac{-2}{4}=-\frac{1}{2}[/tex]b. Lenght of segment AB:To find this length, we have to use another formula. Now we will calculate the distance between two points:
[tex]\text{Distance}=\sqrt[]{(x_2-x_1)^2+(y_2_{}-y_1_{})^2}[/tex]Still considering A (4, 3) = (x1, y1), and B (8, 1) = (x2, y2), let's replace the values in the formula:
[tex]\begin{gathered} \text{Distance}=\sqrt[]{(8_{}-4_{})^2+(1-3_{})^2} \\ \text{Distance}=\sqrt[]{(4_{})^2+(-2_{})^2} \\ \text{Distance}=\sqrt[]{(16^{}+4)^{}} \\ \text{Distance}=\sqrt[]{20} \\ \text{Distance}=2\sqrt[]{5} \end{gathered}[/tex]c. Midpoint of segment AB:This value will be the medium point. To calculate it, we'll use another formula:
[tex]x_m=(\frac{x_1+x_2}{2}+\frac{y_1+y_2_{}_{}}{2})[/tex]Still considering the same values for (x1, y1) and (x2, y2), let's replace them:
[tex]\begin{gathered} x_m=(\frac{8+4_{}}{2},\frac{3+1_{}}{2}) \\ \\ x_m=(\frac{12_{}}{2},\frac{4_{}}{2}) \\ \\ x_m=(6,2) \end{gathered}[/tex]The midpoint of segment AB will be at point X (6, 2).
You can see this line represented in a cartesian plan below:
Traci planted a tree in her backyard.She made this graph to show the tree growth over 5 years. 100 POINTS IF YOU HELP!!!!
Answers
A. The slope of the function = 1.5.
a = 15; b = 3; c = 3; d = 1.5
B. y-intercept (b) = 7.5
C. The equation of the function is: y = 1.5x + 7.5.
The height in 10 years is approximately 17.5 feet.
How to Write the Equation of a Linear Function?The equation of a function can be expressed as y = mx + b, if we know the value of the slope, m, and the value of the y-intercept, b.
Part A:
Using the two points on the graph, we can find the slope of the function as shown below:
The two points are (3, 12) and (5, 15):
Slope of the function = (15 - 12)/(5 - 3)
= 3/2
Slope (m) = 1.5.
Thus, the values that represents each letters would be:
a = 15; b = 3; c = 3; d = 1.5
Part B: The y-intercept of the function
The y-intercept of the function can be defined as the initial tree height which is the point where the line intercepts the y-axis of the graph.
Substitute m = 1.5 and (x, y) = (3, 12) into y = mx + b to find the y-intercept (b) of the function:
12 = 1.5(3) + b
12 = 4.5 + b
12 - 4.5 = b
7.5 = b
b = 7.5
y-intercept (b) = 7.5
Part C: To write the equation of the function, substitute m = 1.5 and b = 7.5 into y = mx + b:
y = 1.5x + 7.5.
Therefore, the initiate tree height is 7.5 feet, and it increases at a rate of 1.5 feet per year.
To find the height in 10 years, substitute x = 10 into the equation of the function, y = 1.5x + 7.5:
y = 1.5(10) + 7.5
y = 10 + 7.5
y = 17.5 feet
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Find the value of x for which the lines p and q are parallel.
Question 17 options:
A) 6
B) 8
C) 9
D) 7
Answers
Answer:
D
Step-by-step explanation:
(14x + 18) and 116 are corresponding angles and are congruent, then
14x + 18 = 116 ( subtract 18 from both sides )
14x = 98 ( divide both sides by 14 )
x = 7
PLEASE HELP ASAP! What is the rate of change (slope) and the initial value (y-axis) for this table?
Answers
Answer: m = 24
Step-by-step explanation:
The right side of the table is the x value, and the left side is the y value.
Pick two points, I will pick (1,35) and (3,83).
Once you pick the points, input them in the rise over run formula:
y2-y1/x2-x1
83-35/3-1 = 48/2 = 24
Which sequence shows the numbers in order from least to greatest?
A. |-8.23| < 8 1/5 < 8.3
B. 8 1/5 > 8.3 > |-8.23|
C. 8 1/5 < |-8.23| < 8.3
D. 8.3 < |-8.23| < 8 1/5
Answers
The sequence that shows the numbers in order from least to greatest is A. |-8.23| < 8 1/5 < 8.3
How to illustrate the information?It's important to note that arranging numbers from the least to the greatest simply means ascending order.
In this case, it's vital to note that the negative value is the smallest. Then 8 1/5 is 8.2. This conea after. The greatest number is 8.3 since it's the biggest.
In conclusion, the correct option is A.
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Which is the better buy? 2-gallon container of laundry detergent for $23.36. or 17-cup container of laundry detergent for $20.06
Answers
we gotta know the conversion between cups and gallons
We know
1 cup (US) = 0.0625 gallons
So, 2 gallon would be 2/0.0625 = 32 cups
So, the problem in cups is:
32 cups = $23.36
17 cups = $20.06
Definitely 32 cups for 23.36 is better buy
2 gallons for $23.36 is the better buy
Note:
23.36/32 = $0.73 per cup
20.06/17 = $1.18 per cup
Please help I answered all the questions that I could but this one I don’t understand! If someone couple please help that would be amazing!
Given the function:
Find the following values.
g(x)=-2-2.5x
a) g(4)
g(4) =
b) g(0)
g(0) =
c) g(-4)
g(-4)=
Answers
Wherever you see the letter [tex]x[/tex] in the equation, you write [tex]4[/tex], [tex]0[/tex] or [tex]-4[/tex] and perform arithmetic operations. Good luck!
Which function matches the graph?
-5
-2
3/
7
A. f(x) =
(x + 3)(x - 5)(x + 7)²(x - 2)²
B. f(x) = (x - 3)²(x + 5)²(x-7)(x + 2)
C. f(x) = (x - 3)(x + 5)(x - 7)²(x + 2)²
D. f(x) = (x - 3)²(x + 5)(x-7)(x + 2)²
E. f(x) = (x + 3)²(x - 5)(x-7)²(x + 2)
Answers
Answer: B
Step-by-step explanation:
The root at [tex]x=-5[/tex] cuts through the x-axis, and has a multiplicity of one. So, it corresponds to a factor of [tex](x+5)[/tex].
The root at [tex]x=-2[/tex] bounces off the x-axis, and has a multiplicity of two. So, it corresponds to a factor of [tex](x+2)^2[/tex].
The root at [tex]x=3[/tex] cuts through the x-axis, and has a multiplicity of one. So, it corresponds to a factor of [tex](x-3)[/tex].
The root at [tex]x=7[/tex] bounces off the x-axis, and has a multiplicity of two. So, it corresponds to a factor of [tex](x-7)^2[/tex].
Question 2 of 10
Use the quadratic formula to find the solution to the quadratic equation given
below.
9
ײ − 3x + 9/4 =0
PLEASE HELP
Answers
Answer:
using the quadratic formula
Step-by-step explanation:
x= 3/2
please help thank you
Answers
78x100/6.5= 1200
Since it’s a percent you cross multiply 100 but that’s the simple equation to do it.
What would the transformation be for this figure and what does the transformation result in a figure that is congruent to the original?
Answers
Solution
Transform figure using the rule (x , y) = (-x , y - 8)
A transformation is a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure. The original shape of the object is called the Pre-Image and the final shape and position of the object is the Image under the transformation.
[tex](x_1,y_1)-->(-x_1,y_1-8)[/tex]Find the reminder when 2 to the 100th power is divided by 5 explain your work
Answers
The remainder when 2 to the 100th power is divided by 5 is 8.
What is the remainder when 2 to the 100th power is divided by 5?The remainder when 2 to the 100th power is divided by 5 is 8. We can achieve the accurate result by using the exponential formula where:
a^mn = a^m(n)
So, applying this here, we will have
2^10 (10)/5
Recall that multiplying 10 by 10 will give us 100. What was done in this case is simply splitting the figures up to make the division simpler. The exponential law was applied here.
Now, 2^10/5
204.8
The remainder as we can see from this result is 8. Thus we arrive at the answer 8.
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Solve 4h = 92 for h.h = ___
Answers
Answer:
23
Step-by-step explanation:
4h = 92
Divide both sides by 4 to get h by itself
h = 23
X^2+8x-35=0 which number would be added to complete the square
Answers
Answer:
x =(8-√204)/2=4-√ 51 = -3.141
x =(8+√204)/2=4+√ 51 = 11.141
Step-by-step explanation:
Factoring x2-8x-35
The first term is, x2 its coefficient is 1 .
The middle term is, -8x its coefficient is -8 .
The last term, "the constant", is -35
Step-1 : Multiply the coefficient of the first term by the constant 1 • -35 = -35
Step-2 : Find two factors of -35 whose sum equals the coefficient of the middle term, which is -8 .
-35 + 1 = -34
-7 + 5 = -2
-5 + 7 = 2
-1 + 35 = 34
