Answer:
The inverse of the statement is, " If A, B, C are not collinear, then they do not lie on the same line." Bob is not correct. The inverse statement is true. For any points to be collinear, they have to be one the same line. If these points are not collinear, it means they do not lie on the same line.
Step-by-step explanation:
The inverse of the statement is "If A, B, and C do not lie on the same line, then they are not collinear," which is logically true based on the definition of collinear points. Bob's claim that the inverse is not true requires clarification; without it, he is incorrect.
Explanation:The inverse of the conditional statement "If A, B, and C are collinear, then they lie on the same line" is "If A, B, and C do not lie on the same line, then they are not collinear". When we discuss the inverse of a statement, we negate both the hypothesis and the conclusion of the original statement. In the given statement, collinear implies that the points lie on the same straight line. Hence, if they do not lie on the same line, logically they would not be collinear.
Bob's claim that the inverse of this statement is not true requires justification, as the truth of a statement's inverse is not necessarily linked to the truth of the original statement. However, in this particular case, the inverse does happen to be a logically true statement, because it is consistent with the definition of collinear points. If points don't lie on the same straight line, by definition, they cannot be collinear. So, if Bob is asserting that the inverse is always false without any context, Bob is incorrect.
It is important to note that this is a logical interpretation based on the definitions involved and is how geometric properties are understood. The truth of the inverse of the conditional is not dependent on the truth of the original statement but instead on the definitions of the terms used.
Circle O is inscribed in the given triangle. What is the perimeter of the triangle?
Answer:
44 units
Step-by-step explanation:
just answered on edg 2020
When a circle is inscribed in a triangle, its radius is equal to the distances between the points of tangency on each side and the center of the circle.
Explanation:When a circle is inscribed in a triangle, it is tangent to all three sides of the triangle.
The perimeter of the triangle can be found by adding the lengths of the three sides.
Since the circle is inscribed in the triangle, the lengths of the sides of the triangle are equal to the distances between the points of tangency on each side and the center of the circle.
Therefore, the perimeter of the triangle is equal to the sum of these distances.
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Find the slope of the line through the points (4, -1) and (-2, -1).
To find the slope (m), use the slope formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] And plug in the two points
(-2, -1) = (x₁, y₁)
(4, -1) = (x₂, y₂)
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{-1-(-1)}{4-(-2)}[/tex] (two negative signs cancel each other out and become positive)
[tex]m=\frac{-1+1}{4+2}[/tex]
[tex]m=\frac{0}{2}[/tex]
m = 0
Answer:
The slope is 0.
Step-by-step explanation:
will give brainiest if answered plz helpp!!!!!
Answer:
umm
Step-by-step explanation:
not sure but copy and paste to google
A wildlife biologist catches and releases 20 fish from two different lakes at random locations. He catches 10 fish at Lake Palmer and 10 fish at Lake Dalton. He measures the length of each fish to the nearest quarter of an inch. Palmer Dalton First Quartile 6.75 5.5 Second Quartile (Median) 10.25 6.75 Third Quartile 13 7.5 Based on the samples, what generalization can be made? A. Not enough information is provided to draw any of these conclusions. B. The first quartile value at Lake Palmer is 1.25 inches longer than the first quartile value at Lake Dalton. C. The interquartile range for Lake Dalton is 2 inches greater than the interquartile range for Lake Palmer. D. At least 25 percent of the fish in both lakes are no longer than 6 inches
Please put the correct answer, if it's correct i will mark with the crown and give a good rating
Thanks!
Option B is the correct answer, as it correctly states that the first quartile value of fish lengths at Lake Palmer is 1.25 inches longer than that of Lake Dalton.
Explanation:The question provides quartile data for fish lengths caught in two different lakes and asks to generalize the findings based on the provided information. First, let's analyze the provided options:
Option B: Incorrect, because the difference between the first quartiles of Lake Palmer (6.75 inches) and Lake Dalton (5.5 inches) is 1.25 inches, hence true.Option C: Incorrect, because the interquartile range (IQR) for Lake Dalton (7.5 - 5.5 = 2 inches) is not 2 inches greater than the IQR for Lake Palmer (13 - 6.75 = 6.25 inches).Option D: Incorrect because at least 25 percent of the fish in Lake Dalton are no longer than 5.5 inches, and at least 25 percent of the fish in Lake Palmer are no longer than 6.75 inches. Hence, not all fish in both lakes are no longer than 6 inches.Therefore, the correct generalization can be made from Option B. It provides accurate comparison based on the first quartile values of fish lengths in both lakes.
Choose the problem with the same relationship that is modeled by the graph
Answer:
<M
Step-by-step explanation:
I need help with this problem plz!!!!
Answer:4 9 2
Step-by-step explanation:
those are the answers
Answer: a) 40 inches
b)9600 in^2
( the 2 goes on top of “in”)
Step-by-step explanation: s= 40 inches
substitute the side length into the formula for the surface area of a cube.
Heather and Marcus are
training for a marathon. Heather
ran 48.6 miles last week. Marcus
completed 90% as many miles as
Heather. How many miles did
Marcus run?
Which system of inequalities has no solution?
A. y < 2x − 4
y > 2x + 1
B. 2x + y ≥ 3
y ≥ −2x − 3
C. 4x + 4y < 16
x > y + 16
D. y < −6x −24
y < 6x + 6
Part B
Select all the possible ways that you could change the system so it has a solution.
A. Change the direction of the inequalities.
B. Decrease the coefficient of x in the first equation.
C. Increase the coefficient of x in the first equation.
D. Increase the coefficient of x in the second equation.
E. Decrease the coefficient of x in the second equation.
Answer:
Part 1: A
Part 2: BCDE
Step-by-step explanation:
For part 2, I'm assuming that the change of direction is for both of the inequalities.
If you want calculator for graphing, use desmos graphing calculator.
Find the value of X.
Answer:
3.96ft
Step-by-step explanation:3.3/5 is .66 so that is the scale factor and multiply 6 by .66 gets you 3.96 hope this helps god bless
what is the volume of a right circular with a radius of 6 m and a height of 9 m
Answer:
324 pi m^3
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2h where r is the radius and h is the height
V = pi (6)^2 9
V = pi (36)9
V =324 pi m^3
The given data set shows the weight, in pounds, of nine dogs at an animal hospital.
{35, 22, 30, 110, 20, 25, 30, 32, 32}
Which data value is considered an outlier?
Enter the answer in the box.
Answer:
110
Step-by-step explanation:
You can see that the other terms are between 20 and 40, but 110 is a whole 75 off of the next greatest number. That makes it an outlier
Answer:
110
Step-by-step explanation:
All other value are between 20 and 35, 110 is way apart
A spinner has 10 equal-sized sections. Two of the sections are red.
a. What is the probability that the spinner will land on red?
b. Use words to describe the probability.
Answer:
a. Probability of landing on red = [tex]\frac{1}{5}[/tex]
b. See Explanation
Step-by-step explanation:
Given
A Spinner
Number of section = 10 (equal sized)
Number of red section = 2
Required
- Probability of landing on red
- Describe the probability in words
Calculating the probability of landing on red
The formula used in calculating probability is as follows
Probability = Number of required outcomes / Number of possible outcomes
In this case, the number of required outcomes is the number of red section.
Hence, number of required outcomes = 2
And the number of possible outcomes is the total section of the spinner
Hence, Number of possible outcomes = 10
By Substitution
Probability of landing on red = [tex]\frac{2}{10}[/tex]
Probability of landing on red = [tex]\frac{1}{5}[/tex]
Describe the probability in words
From (a) above, we have that the probability of the spinner landing on color red is [tex]\frac{1}{5}[/tex]
This means that, for every five times, you spin the spinner, it's likely that one of the outcomes will be red.
What is the length of the line segment?
Answer:
A. 8
Step-by-step explanation:
a driveway measuring 140 square feet is to be paved. Harry has an apprentice working for him and divides the job between the two of them so that the area he paved divided by the area his apprentice paved equals 3. find x, the area harry will pave
Answer:
Step-by-step explanation:
Th e answer would be 180
The area that Harry will pace 105 ft.²
What is the ratio of two quantities?Suppose that we've got two quantities with measurements as 'a' and 'b'
Then, their ratio(ratio of a to b) a:b
We usually cancel out the common factors from both the numerator and the denominator of the fraction we obtained. Numerator is the upper quantity in the fraction and denominator is the lower quantity in the fraction).
If the area he paces divided by the area his apprentice paces equals three, then we can write it as;
J/a = 3
In ratio form,
J : a = 3 : 1
Where J. represent Harry and. a represent the apprentice. Hence,
Therefore, the area Harry will pace;
= ( 3/4) × 140 ft.²
= 105 ft.²
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Parallel Lines never intersect
because...
Step-by-step explanation:
Well, they don't intersect because that's how they're defined. If they were to intersect then they wouldn't be considered parallel lines.
Parallel lines never intersect because they are always equidistant from each other, meaning they maintain the same distance apart at every point along their length.
What are parallel lines?If the two original lines are parallel, then these two angles must be equal, since they are corresponding angles. However, if we extend the third line far enough, the angles will eventually add up to more than 180 degrees, which is impossible in a Euclidean plane. Therefore, the third line cannot intersect the two parallel lines, and they will never meet.
Consider two lines in a two-dimensional plane. If they are parallel, they will never cross each other no matter how far they extend. Imagine drawing a third line that intersects both of them at some point. This will create two angles where the two lines meet the third line, forming a triangle.
This property of parallel lines has many practical applications in fields such as engineering, architecture, and mathematics, where parallel lines are used to create accurate drawings and models of structures and systems.
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A dog is leashed to the corner of a house. How much running area does the dog have? Round your answer to the nearest square foot, If necessary.
Find the area of the polygon, read the info, plz ANWSER will mark brainest!!
(Also plz explain what u did)
jamal has 2 straight sticks with the length of 20cm and 18cm. Jamal searches for a third stick so that he can form a triangle. Which length of stick will allow jamal to make a triangle.
Solution:
Given that,
Jamal has 2 straight sticks with the length of 20 cm and 18 cm
Jamal searches for a third stick so that he can form a triangle
According to triangle inequality theorem,
Triangle inequality theorem states that sum of length of two sides of triangle should always be greater than measure of third side
Let the length of unknown side be "x"
Case 1:
Let 20 cm be the length of third side
Then,
x + 18 > 20
x > 20 - 18
x > 2
Case 2:
Let "x" cm be the length of third side
18 + 20 > x
38 > x
x < 38
This means that length of third side of triangle should be greater than 2 and less than 38
Final answer:
Jamal can use any third stick with a length greater than 2 cm and less than 38 cm to form a triangle with his existing sticks of 20 cm and 18 cm, according to the triangle inequality theorem.
Explanation:
To determine the length of a third stick that Jamal can use to form a triangle with the other two sticks, one must apply the triangle inequality theorem. The triangle inequality theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. In Jamal's case, the sticks have lengths of 20 cm and 18 cm. Therefore, the length of the third stick must be more than the difference of the two sticks and less than their sum to form a triangle.
So the third stick must be longer than 2 cm (20 cm - 18 cm) and shorter than 38 cm (20 cm + 18 cm). To summarize:
The third stick must be > 2 cm.The third stick must be < 38 cm.So any stick length between > 2 cm and < 38 cm will allow Jamal to create a triangle with the other two sticks.
Select the correct answer. Which rule can you use to find the nth term of an arithmetic sequence in which the common difference is 5 and a12 = 63?
A. `a_(n)=3+5n`
B. `a_(n)=3-5n`
C. `a_(n)=13+5n`
D. `a_(n)=13-5n`
what is the slope of the ordered pair (19, -2) (-11, 10)
Answer:
-0.4
Step-by-step explanation:
first you subtract both x values (19 - (-11)) or (19+11)
then subtract both y values (-2 - 10)
which would give you -12 over 30
-12/30 is -0.4
2 Points
What is sin 60°
Answer:
As in Decimal: 0.86602540378
Angle Tan=Sin/Cos
30° 1 √3 = √3 3
45° 1
60° √3
Step-by-step explanation:
Answer: 0.8660
Step-by-step explanation:
In a right angle triangle
According to the diagram below
Sin60= opposite/hypothenus
Sin60= 1/square root of 2
Sin60= 0.8660
Factor the quadratic expression 4x^2-8x+3
Answer: (2x-1) (2x-3)
Step-by-step explanation:
What function is represented by the mapping diagram shown?
O A. F(x)= x+3
O B. F(x)= x-3
O C. F(x) = 3x
O D. F(x) = 1
The mapping diagram displays how inputs are transformed into outputs; this relationship must match the transformation properties of the given functions to determine the correct answer.
Explanation:To understand which function is represented by the mapping diagram, one needs to look at how the inputs (or arguments) are being transformed into outputs (or values). A mapping diagram shows a set of ordered pairs, illustrating how each input is associated with a specific output. Considering the functions given: F(x) = x+3, F(x) = x-3, F(x) = 3x, and F(x) = 1, it is important to note the nature of transformations that each of these functions imply.
For the F(x) = x+3 function, every input value x is increased by 3, which is a shift to the right on the graph. On the other hand, F(x) = x-3 would decrease every input x by 3, showing a leftward shift. If we consider F(x) = 3x, this would imply each input x is being scaled by a factor of 3. Lastly, F(x) = 1 represents a constant function that maps every input to the same output, which is 1.
To determine the correct function from the mapping diagram, one would compare these transformations to the mapping shown and select the function that accurately describes the relationship between the inputs and outputs in the diagram.
How to solve 17 = x/2 + 1
Answer:
x = 32
Step-by-step explanation:
17 = x/2 + 1
17 - 1 = x/2
16 = x/2
16 / 1/2 = x
16 * 2/1 = x
32 = x
Answer:
x = 32
Step-by-step explanation:
to solve for this expression 17 = x/2 + 1 , we need to collect the like terms and then evaluate for the value of x.
solution
17 = x/2 + 1
17 - 1 = x/2
16 = x/2
using cross multiplication method
x = 16 x 2
x = 32
18. Octavio got a job at Subway. He makes $14 per hour. On Saturday he worked 8 hours, on Monday he worked 6
hours and on Thursday he worked 5 hours. He borrowed $95 dollars from Antonio to buy tickets to a concert. How
much money did he have left from his paycheck (before taxes) after paying back Antonio?
steps ?
Answer:$171
Step-by-step explanation:
8*14= 112
6*14=+84
5*14=+70
=266
-95
= 171
A little help here?
Whats the value of X?
Answer:
36
Step-by-step explanation:
That kind of triangle is supposed to equal up to 180. So 65 + 79 = 144. So 180 - 144 = 36. Sorry if this is the wrong answer. This is what i think it is. Again, sorry in advanced!
WILL MARK BRAINLIEST
what does it mean for a point to be a solution to a linear equation?
For example, if I say, (2,5) is a solution to the equation y= 2x+3, how could you check my claim?
y=mx+b
it is pretty simple, the m stays the same and is the x, so (2,_) and then the b is the slope so you add the b and m together to get 5 (2,5)
» Leila has 36 photos of her friends. She puts 6 photos on each page
in her scrapbook. How many pages does Leila use?
Answer:
She uses 6 pages because 36/6=6
Step-by-step explanation:
Answer:
Leila uses up 6 pages.
Step-by-step explanation:
What you are supposed to do is division.
36 ÷ 6 = 6
6 on the first page.
6 on the second page.
6 on the third page.
6 on the fourth page.
6 on the fifth page.
6 on the seventh page.
If you add the six 6's you get 36.
6+6+6+6+6+6=36
Jodie ran at an average spared of 6 km/h for 10 minutes. How far did she run in km
Answer: 1km
Step-by-step explanation:
Since she runs 6km per hour you have to divide your varibles
Answer:
60km
Step-by-step explanation:
D=SxT
D=6x10=60
can someone give me the answer for this and maybe explain it?
Answer:
5x=85
9x=153
Step-by-step explanation:
540-139-71-92-9x-5x=0
238-14x=0
238=14x
17=x
5x=85
9x=153