Answer:
Examples to disprove them are as follows;
1) Angles of two different inscribed regular polygon in contact at their vertices
2) Angles on the opposite corners of a regular even sided polygon
Step-by-step explanation:
The statement to be disproved can be presented as follows;
1) ∠A and ∠B share a common vertex
2) The bisectors of ∠A and ∠B create one line then
∠A and ∠B are vertical, that is ∠A and ∠B are on the opposite sides of the point where two lines cross or ∠A = ∠B
Given that ∠A = Interior angle of a inscribed square = 90°
∠B = Interior angle of an inscribed equilateral triangle = 60°
Therefore the two circles can be arranged such that the line connecting the centers of both circles, are the bisectors of ∠A and ∠B
However, ∠A ≠ ∠B hence the two angles are not vertical QED
(2) The angles ∠A and ∠B where ∠A = ∠B are on the opposite corners of an even sided regular polygon are equal and their bisectors belong to the same line, however, it can be shown that ∠A and ∠B are not vertical.
The box plots show Devonte’s scores in Spanish and in French. Spanish 2 box plots. The number line goes from 50 to 100. For Spanish, the whiskers range from 55 to 95, and the box ranges from 60 to 85. A line divides the box at 70. For French, the whiskers range from 55 to 90, and the box ranges from 65 to 80. A line divides the box at 75. French Devonte inferred that his French scores have less variability than his Spanish scores. Which explains whether Devonte’s inference is correct? Devonte is correct because the range is greater for French. Devonte is correct because the interquartile range is less for French. Devonte is not correct because his highest grade is in Spanish. Devonte is not correct because the interquartile range is less for Spanish.
Answer:it's D i took the test.
Answer:
B
Step-by-step explanation:
i took the test
15
Type the correct answer in each box. Use numerals instead of words.
This system of equations has been placed in a matrix:
y = 650x + 175
y= 25,080 - 120x
Column 1
Column 2
Column 3
Row 1
-1
Row 2
120
Reset
Next
The matrix representation of the system looks:
| -650 0 |
| -1 120 |
To clarify, it seems you have provided a system of equations:
y = 650x + 175
y = 25,080 - 120x
Now, you want to create a matrix representation of this system by filling in the values in the columns and rows.
Column 1: The coefficient of x in the first equation is 650, so we put -650 in Column 1.
Column 2: The coefficient of x in the second equation is -120, so we put -120 in Column 2.
Column 3: There are no constants in front of x in the given system, so we put 0 in Column 3.
Row 1: Since the first equation has a positive coefficient of x, we put -1 in Row 1.
Row 2: The second equation has a negative coefficient of x, so we put 120 in Row 2.
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will mark bianleast
Find the mean of the data in this set.
9.4
6
8.5
8
Answer:
The mean is 7.975.
Step-by-step explanation:
Answer:
The correct answer is 9.4, Hope this helps!
Step-by-step explanation:
I took the test and this was the correct answer!
help me plz asap ill mark u brainliest
Answer:
b
Step-by-step explanation:
this is because 1 3/4 is equal to 7/4 which we can round to 2. so it says she rode back and forth to school so that would be 2 + 2 and she did that 5 times
this means that the final answer 5 * ( 2 + 2 )
A physics test is normally distributed. The class average was 79.3, and the standard deviation was 7.5. What percent of students scored between a 68 and 86.8?
Answer:97.275% or 97.5%
Step-by-step explanation:
Help idk how to do it
Answer:
55
Step-by-step explanation:
The base angles of an isosceles triangle have the same measure
3x+40 = x+50
Subtract x from each side
3x+40-x = x+50-x
2x+40 = 50
Subtract 40 from each side
2x+40-40 = 50-40
2x = 10
Divide each side by 2
2x/2 = 10/2
x = 5
We want angle A
3x+40
3*5 +40
15+40
55
A line passes through the point (–7, 5) and has a slope of One-half. Which is another point that the line passes through?
A. (–13, 9)
B. (–9, 13)
C. (9, 13)
D. (13, 9)
Answer:
C. (9, 13)
Step-by-step explanation:
y = mx + b
y = (1/2)x + b
(-7, 5)
5 = (1/2)*(-7) + b
5 = - 7/2 + b
b = 5+ 7/2 = 10/2 + 7/2 = 17/2
y = (1/2)x + 17/2
C. (9, 13)
13 = (1/2)*9 + 17/2
13 = 26/2
13=13 True
Answer:
It is C (9,13)
Step-by-step explanation:
took the test on edge
Which ordered pair lies on the function f(x) = x^2 + 3?
Question 7 options:
A)
(–1,–4)
B)
(1,–4)
C)
(–1,4)
D)
(–4,–1)
Answer:
c
Step-by-step explanation:
Which statement about this figure is true?
a. it has rotational symmetry with an angle of rotation of 90°
b. it has no reflectional symmetry
c. it has reflectional symmetry with two lines of symmetry
d. it does not have symmetry point
Answer:
a. it has rotational symmetry with an angle of rotation of 90°
Step-by-step explanation:
The radius of the semicircle in the following composite figure is 8.5 millimeters. What is the total area of the composite figure rounded to the nearest hundredth?
Answer:
13.35 millimeter. (About)
Step-by-step explanation:
To find the area or circumference of any circle, you need to use pi. So, if we are trying to fine the area of a semicircle, you use the the formula:
πr²/2
So, if the radius is 8.5,
8.5 · 3.14 = 26.69
Now we divide it by 2.
26.69 = 13.345
Since the question is asking to round to the hundredths, the answer will be 13.35 millimeters.
Answer:
185.43 mm 2
Step-by-step explanation:
,.
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.
.
.
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The sum of three numbers is 16. The sum of twice the first number, 5 times the second number, and 6 times the third number is 85. The difference between 4 times the first number and the second number is negative 3. Find the three numbers.
Answer:
1, 7, 8Step-by-step explanation:
x, y, z - numbers to find
The difference between 4 times the first number and the second number is negative 3:
4x - y = -3
- y = -3 - 4x
y = 3 + 4x
The sum of three numbers is 16:
x + y + z = 16
x + 4x + 3 + z = 16
5x + z = 13
z = 13 - 5x
The sum of twice the first number, 5 times the second number, and 6 times the third number is 85:
2x + 5y + 6z = 85
2x + 5(3 + 4x) + 6(13-5x) = 85
2x + 15 + 20x + 78 - 30x = 85
-8x + 93 = 85
-8x = -8
x = 1
y = 3 + 4•1 = 7
z = 13 - 5•1 = 8
Veryfying:
1 + 7 + 8 = 16
2•1 + 5•7 + 6•8 = 2 + 35 + 48 = 85
A taxi service charges a flat fee pen $1.25 and $0.75 per mile. If Henry has $14.00 which of the following shows the number of miles he can afford to ride in the taxi?
Answer:
A. M less than or equal to 17
Step-by-step explanation:
Joshua has a rectangular vegetable garden with the dimensions shown below. If he doubles the length and width of the garden, how will the area of the new garden compare to the area of the original garden?
Given a = 4, b= -2 and c= 8, evaluate a - b - C.
-14
-6
0-2
Answer:
[tex]( - 2)[/tex]
Step-by-step explanation:
Given that
[tex]a = 4 \\ b = - 2 \\ c = 8[/tex]
Let's solve now
[tex]a - b - c[/tex]
[tex]4 - ( - 2) - 8 \\ 4 + 2 - 8 \\ 6 - 8 \\ - 2[/tex]
Given
a = 4b= -2 c= 8To find out:
Find the value of a - b - c ?
Solution:
a - b - c
Putting the value in the above
4 - ( - 2 ) - 8
4 + 2 - 8 [ - - = + ]
6 - 8
-2
For this graph, Mark the statements that are true.
Write the set of real numbers x less than 6 in set builder notation
Answer:
{x ∈ R: x<6}
Step-by-step explanation:
Given
x is a real numberx is less than 6Required
Write the set using set builder notation
The very first thing to do is to list out the range of x, using inequalities;
x is less than 6 implies that -infiniti < x < 6
The next step is to translate this to set builder. This is done as follows
x ∈ R - > This means that x is a real number
x < 6 -> where x is less than 6.
Bringing these two together, it gives:
{x ∈ R: x<6}
Hence, the set of real numbers x less than 6 is equivalent to {x ∈ R: x<6} using set builder notation
5. Which of the following linear functions has a graph which passes through points (−5,−2) and (−3,0)?
options:
A. f(x) = x – 3
B. f(x) = x + 3
C. f(x) = –x + 3
D. f(x) = –x – 3
Answer:
[tex]f(x) = x + 3[/tex]
Step-by-step explanation:
Given
Points (−5,−2) and (−3,0)
Required
Find a linear function that passes through the given points
The question implies that we solve for the equation for the line;
First, the slope of the line must be calculated;
This is calculated as thus:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Where [tex](x_1,y_1) = (-5,-2)\ and\ (x_2,y_2) = (-3,0)[/tex]
So, [tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex] becomes
[tex]m = \frac{0 - (-2)}{-3 - (-5)}[/tex]
[tex]m = \frac{0 + 2}{-3 + 5}[/tex]
[tex]m = \frac{2}{2}[/tex]
[tex]m = 1[/tex]
The equation of the line can then be calculated using any of the given points;
Using
[tex]m = \frac{y - y_1}{x - x_1}[/tex]
[tex]Where\ (x_1,y_1) = (-5,-2)\ and\ m =1[/tex]
We have
[tex]1 = \frac{y-(-2)}{x-(-5)}[/tex]
[tex]1 = \frac{y+2}{x+5}[/tex]
Multiply both sides by x + 5
[tex](x+5)*1 = \frac{y+2}{x+5} * (x+5)[/tex]
[tex]x + 5 = y + 2[/tex]
Subtract 2 from both sides
[tex]x + 5 - 2 = y + 2 - 2[/tex]
[tex]x + 3 = y[/tex]
[tex]y = x + 3[/tex]
Replace y with f(x)
[tex]f(x) = x + 3[/tex]
Hence, from the list of given options; Option B is correct
Answer: B. f(x) = x + 3
Step-by-step explanation:
Which is the graph of y?
Replace x with a number and solve for y. Plot the points out on a graph.
See the attached picture.
Rotate the image.
How many triangles???
Answer:
4
Step-by-step explanation:
The triangle itself
Also the 3 at the top
They are the only ones with 3 sides
Answer:
9 triangles
Step-by-step explanation:
The price of gasoline increased 25% from July to August. If c = cost of gasoline in July, write two expressions that represent the price of gas in August. If you know the cost of gas in July, which expression do you think would be easier to use to calculate the cost of gas in August and why?
Answer:
Wrote it in the explanation :)
Step-by-step explanation:
Expression One: c + 25% = price of gas in august
Expression Two: c + 0.25 = price of gas in august
Expression Two would be easier to use if we knew "c" because the numbers are already in decimal form. If it were in percentage form, it would cause us an extra step to convert it into a decimal.
Please tell me if you have any further questions...
Hope this helped!!
Which of the following best describes the figure?
Answer:
a concave polygon
Step-by-step explanation:
It's a concave polygon because it has one angle that is more than 180 degrees.(I think at least)
is it possible to make a quadrilateral with any four dots as corners?
Answer:
Yes it is possible, given with 4 dots, lets say were set anywhere within a page or anywhere upon a circumference of a circle even. We can draw 4 straight lines to meet each corner and call this a quadrilateral.
Step-by-step explanation:
Squares, Rectangles and Rhombuses are all Parallelograms and squares and rectangles are regular quadrilaterals!
So any other 4 sided shape that is quadrilateral could be made.
The picture below shows all branches of quadrilaterals.
Answer:
No
Step-by-step explanation:
No.
For example, if all 4 dots are on a line, then the 4 dots do not make a quadrilateral.
Answer: No
What is the value of m+(6n-1) when m=3 and n=1?
Answer:
8
Step-by-step explanation:
you do the brackets first so (6n-1) would be 6-1 which equals 5
now we have m=5, m is 3 so 3+5=8
explain the triangle angle sum property
Answer:
The Triangle Sum Theorem states that the three interior angles of any triangle add up to 180 degrees.
Step-by-step explanation:
What is the solution of 3square root x+8 = -4?
• x=-72
• x=-66
• x=58
• no solution
Answer:
No solution
Step-by-step explanation:
I'd suggest you try to solve this first: 3√(x + 8) = 4. First, square both sides; this results in 9(x + 8) = 16, or x + 72 = 16/9, or x = -632/9. We cannot let x = -632/9 in √(x + 8) because -632/9 is not in the domain of the square root function. No solution.
If we now write 3√(x + 8) = -4 (note the negative sign), similar efforts at solution result in 9(x + 8) = -4, or x + 8 = -4/9, or x = -8 - 4/9. If we now substitute this result for (x + 8) in 3√(x + 8) = -4 (above), we get 3√(-8 + 8 - 4/9), which has no solution; -4/9 is not in the domain of the square root function.
The solution for the given equation is 16.
The given equation is 3√x+8=-4.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
The solution for the given equation can be determined as follows:
Now, 3√x+8=-4
⇒ 3√x=-4-8
⇒ 3√x=-12
⇒ √x=-12/3
⇒ √x=-4
Squaring both the sides, we get
x=16
Therefore, the solution for the given equation is 16.
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Which of these triangle pairs can be mapped to each other using a reflection and a translation?
OL
A
R
K
K
Q
A
P
R
Answer: The first one
Step-by-step explanation:
It is being reflected over the x axis and It is translated
18
What is the value of y?
10
2y + 4
10 + 2x
5
Step-by-step explanation:
8
ahhdhdvab ah a. b b b n n bk.
If a patient needs 30 days supply of tablet two tablets four times a day how many tablets with a patient need for discharge
Answer:
Total number of tablets needs to discharge = 240 tables
Step-by-step explanation:
Given:
Number of days tablet need = 30 days
Number of times per days need = 4 times
Number of tablet per time = 2 tablet
Find:
Total number of tablets needs to discharge = ?
Computation:
⇒ Total number of tablets needs to discharge = Number of days tablet need × Number of times per days need × Number of tablet per time
⇒ Total number of tablets needs to discharge = 30 × 4 × 2
⇒ Total number of tablets needs to discharge = 240 tables
Verify the identity cosx cos(-x) - sinx sin(-x) =1
Answer:
(identity has been verified)
Step-by-step explanation:
Verify the following identity:
cos(x) cos(-x) - sin(x) sin(-x) = 1
Hint: | Cosine is an even function.
Use the identity cos(-x) = cos(x):
cos(x) cos(x) - sin(-x) sin(x) = ^?1
Hint: | Sine is an odd function.
Use the identity sin(-x) = -sin(x):
cos(x) cos(x) - -sin(x) sin(x) = ^?1
Hint: | Evaluate cos(x) cos(x).
cos(x) cos(x) = cos(x)^2:
cos(x)^2 - ( - sin(x) sin(x)) = ^?1
Hint: | Evaluate -(-sin(x)) sin(x).
-(-sin(x)) sin(x) = sin(x)^2:
cos(x)^2 + sin(x)^2 = ^?1
Hint: | Use the Pythagorean identity on cos(x)^2 + sin(x)^2.
Substitute cos(x)^2 + sin(x)^2 = 1:
1 = ^?1
Hint: | Come to a conclusion.
The left hand side and right hand side are identical:
Answer: (identity has been verified)
A worker needs to create a 4-character password. The worker can use alphabet as well
as number(0-9) and 4 special characters. How many outcomes are possible?
Answer: 2560000
Step-by-step explanation:
Given, A worker needs to create a 4-character password.
Worker can use :
Alphabets, numbers and 4 special characters
Total alphabets = 26
Total digits = 10
So, total characters he can use = 26(alphabets) + 10 (digits) +4 (special characters)
= 26+10+4 = 40
Since, there is no pattern or condition is provided to choose them.
So, the total possible outcomes to create a 4-character password. = [tex](\text{Total characters})^4=40^4=2560000[/tex]
Hence, the total possible outcomes = 2560000