The construction method for creating a perpendicular line through a point not on a line is indeed useful for constructing a perpendicular bisector, based on the principle that all right angles are equal to one another. Therefore given statement is true.
Explanation:The construction method used to construct a perpendicular through a point not on a line can indeed be used to construct a perpendicular bisector. This is true because both constructions rely on the same geometric principles. E4, which states that all right angles are equal to one another, supports this fact. In constructing a perpendicular line through a point not on the line, one essentially finds the point on the existing line that is closest to the external point and constructs a right angle there. This same method can be adapted for a segment to create a perpendicular bisector. By selecting the midpoint of the segment and then constructing a right angle using the segment as one side, this similarly results in a perpendicular bisector.
Final answer:
The construction method used to construct a perpendicular through a point not on a line being also applicable for constructing a perpendicular bisector is True. Both involve similar steps of drawing arcs with a compass that intersect and then drawing a line through those intersections, leveraging the properties of equidistant points and perpendicular bisectors.
Explanation:
The statement that the construction method used to construct a perpendicular through a point not on a line could also be used to construct a perpendicular bisector is True. The basic geometrical constructions used for both are quite similar. To construct a perpendicular through a point not on a line, one would typically use the following process:
Place the compass at the given point and draw an arc that crosses the line twice.
Without changing the compass width, move the compass to each intersection point and draw two arcs that intersect above and below the line.
Draw a line connecting the intersection points of these arcs. This is the perpendicular line through the point.
To construct a perpendicular bisector, one would:
Place the compass at one end of the line segment and draw an arc above and below the line.
Without changing the compass width, repeat from the other end of the line segment so that the arcs cross.
Connect the intersection points of the arcs to form the perpendicular bisector.
In both cases, we utilize the property that the perpendicular bisector of a line segment is the set of all points equidistant from the segment's endpoints, and similarly, through a point not on a line, we can construct two such points that are equidistant from it on the line, therefore satisfying Corollary regarding points equidistant from the extremities of a straight line determining a perpendicular to the line at its middle point.
Hue is 56in.tall. His friend is 42in.tall. Hue's shadow is 24in.long. How long is his friend's shadow at the same time?
By setting up a proportion based on the concept of similar triangles, we can solve for the length of Hue's friend's shadow, which is 18 inches.
Explanation:To find the length of Hue's friend's shadow, we can use the concept of similar triangles. The ratio of Hue's height to his shadow's length is the same as the ratio of his friend's height to his friend's shadow's length, assuming the sun's rays are parallel and create similar angles with respect to the ground for both individuals.
Hue's height to shadow length ratio is 56 inches to 24 inches. Let's denote the length of his friend's shadow as x inches. We can set up a proportion:
56 inches (Hue's height) / 24 inches (Hue's shadow) = 42 inches (friend's height) / x inches (friend's shadow)
Solving for x, we get: 56/24 = 42/x, which simplifies to x = (42 * 24)/56 = 18. Therefore, Hue's friend's shadow is 18 inches long.
HELP ASAP!!
given the function f (x)=2x-5 over 3 , which of the below expressions is correct ?
Integrate sin^9(x)dx ...?
In the diagram, m∠COE = 55°. If m∠2 = 2x and m∠3 = x+10, what is the measure of angle 2?
15
30
45
60
Answer:
The answer is 30
Step-by-step explanation
You gather what you knowCOE = 55°, m∠2 = 2x, m∠3 = x + 10
Then you set up an equation using that information2x + x + 10 = 55
Combine like terms3x + 10 = 55
Find xX= 15
Plug in "x = 15" to "2x" to find out what the measure of angle 2 is2 x 15 = 30
Therefore m∠2 = 30
X^3+512=0 real or imaginary solution by factoring
what is the distance between the points (5,-6) and ( 5,2)
A 1
B 3
C 4
D 8
Is 61 composite or prime
Hello There!
61 is a prime number.
Its only factors are: 1 and 61. It has no more factors.
#HaveAnAmazingDay
Hope this helps!
[tex]GraceRosalia[/tex]
In the normal distribution, values in the distribution being measured are close to the mean (high or low values are infrequently found). true or false ?
Answer: True.
Step-by-step explanation:
Hi, the statement "In the normal distribution, values in the distribution being measured are close to the mean (high or low values are infrequently found)." is true.
The normal distribution is a probability function that how the values of a measure are distributed. Most of the values cluster around the mean, it’s a symmetric distribution.
Normal or Gaussian distributions Means that many variables have similar characteristics. So, middle values have higher probability or are more likely to occur, and extremely low or high values are more infrequent.
Amanda has a job transporting soft drinks by truck. Her truck is filled with cans that weigh 14 ounces each and bottles that weigh 70 ounces each. There is a combined total of 930 cans and bottles in her truck. Let x be the number of 14 -ounce cans in her truck. Write an expression for the combined total weight (in ounces) of the cans and bottles in her truck.
The combined total weight of the cans and bottles in the truck, if x represents the number of 14-ounce cans, can be represented by the expression 14x + 70(930 - x). This combines the weight of the 14-ounce cans (14x) with the weight of the 70-ounce bottles (70(930-x)).
Explanation:In order to find the expression for the combined total weight (in ounces) of the cans and bottles in the truck, we have to first determine the number of bottles. We know that the total number of cans and bottles is 930, so the number of bottles would be 930 - x. Each can weighs 14 ounces and each bottle weighs 70 ounces. Therefore, the total weight in ounces will be the sum of the weight of cans and the weight of bottles. This can be represented as 14x + 70(930 - x). This expression represents the combined total weight in ounces of the items in Amanda's truck.
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A car travels at 65 mph going through construcion it travels at 3/5 this speed write this fraction as a decimal an the find the speed
What is the value of the expression?
Drag and drop the answer into the box to match the expression.
2.54+(−1.66)
The function f(x) is represented by the table below. What are the corresponding values of g(x) for the transformation g(x) = 4f(x)?
What do the sin 25 and cosine 65 have in common. Explain why this is true. ...?
Which of the following is not a cost of being financially irresponsible?
You are late to work because you forgot to set the alarm.
You have no money to pay the cable bill, but you have a new flat screen television.
You can't afford to go to the movies.
You end up paying more for things because of credit card interest.
Which of these shows how the formulas for the area of a circle and the volume of a cylinder are related?
The area of a circle provides the radius of the cylinder’s base. Dividing that by the surface area of the cylinder’s base adds the third dimension of the solid.
The area of a circle provides the height of the cylinder. Multiplying that by the surface area of the cylinder’s base adds the third dimension of the solid.
The area of a circle provides the surface area of a cylinder’s base. Multiplying that by the height of the cylinder adds the third dimension of the solid. ...?
The correct answer is statement (c) The area of a circle provides the surface area of a cylinder’s base. Multiplying that by the height of the cylinder adds the third dimension of the solid.
The formula for the volume of a cylinder demonstrates how the area of a circle is used to find the volume of the cylinder. Specifically, the volume of a cylinder is given by [tex]\pi r^2h[/tex], where r is the radius of the base (a circle), and h is the height of the cylinder.
This means that the area of a circle [tex](\pi r^2)[/tex] is multiplied by the height (h) of the cylinder to obtain the volume. This clearly shows how the area of a circle is extended into three dimensions to derive the volume of a cylinder.
Complete question :
Which of these shows how the formulas for the area of a circle and the volume of a cylinder are related?
(a) The area of a circle provides the radius of the cylinder’s base. Dividing that by the surface area of the cylinder’s base adds the third dimension of the solid.
(b) The area of a circle provides the height of the cylinder. Multiplying that by the surface area of the cylinder’s base adds the third dimension of the solid.
(c) The area of a circle provides the surface area of a cylinder’s base. Multiplying that by the height of the cylinder adds the third dimension of the solid.
Working alone, it would take Shandra 45 minutes to mow the lawn. To mow the same lawn, also working alone, it would take Kelly 1 hour and 15 minutes. If they work together, the girls believe it will take them 1 hour to mow the lawn.
Which best describes the reasonableness of their solution? Their estimate is longer than the time it will actually take: Their estimate is accurate: Their estimate is shorter than the amount of time it will actually take: Their estimate is longer than the time it will actually take:
The correct answer is:
Their estimate is longer than the time it will actually take.
( Since, Estimated time-- 1 hour=60 minutes
Time actually taken= 28.125 minutes )
Step-by-step explanation:Time taken by Shandra alone to mow the field is: 45 minutes.
Time taken by Kelly alone to mow the field is: 1 hour 15 minutes.
We know that:
1 hour=60 minutes
Hence, 1 hour 15 minutes=60 minutes +15 minutes=75 minutes.
By looking at the time we consider that the total work be of 225 units.
This means that the Efficiency of Shandra is: 225/45=5 units/minutes.
Similarly,
Efficiency of Kelly is: 225/75=3 units/minutes.
Now, when they will work together there efficiency will be added.Hence, 5+3=8
Hence, the time taken by both of them when they work together is:
225/8
= 28.125 minutes.
But it was estimated that they took 1 hour=60 minutes.
Hence, there estimation of time taken was longer than what they actually took.
How many meters are in 7.2 kilometers?
The number of cartoons X, watched by Mrs. Kelly's first grade class on Saturday morning is shown below.
X P(X)
0 0.15
1 0.20
2 0.30
3 0.10
4 0.20
5 0.05
Give the standard deviation for the probability distribution above.
A right triangle has a hypotenuse of 10 cm and one leg that measures 5 square 3 what is the length of the other leg
Simplify: (4xy^-2) / [ 12x^(-1/3) y^5]
I need to solve this problem in my exam:
Suppose that the dollar cost of producing x radios is c(x) = 400 + 20x - 0.2x^2. Find the average cost per radio of producing the first 35 radios. ...?
HELP ME PLEASE
True or False? In a two-column proof, the right column states your reasons.
This is an example if you'd like to see one:
A cannery processed 1,445 pounds of strawberries in 4.5 hours. The cannery processed 2,320 of strawberries in 7 hours. Write a linear equation to model the relationship between the weight of strawberries S and time T. How many pounds of strawberries can be processed in 11 hours?
The linear equation to model the relationship between the weight of strawberries and time can be found using the slope and y-intercept. The equation is S = 690T - 560.5. In 11 hours, the cannery can process 7109.5 pounds of strawberries.
Explanation:To write a linear equation to model the relationship between the weight of strawberries S and time T, we need to determine the slope and the y-intercept. The slope represents the rate at which strawberries are processed per hour, while the y-intercept represents the initial amount of strawberries processed.
Using the given information, we can use the formula for calculating the slope (m) of a line: m = (y2 - y1) / (x2 - x1). Plugging in the values, we have: m = (2320 - 1445) / (7 - 4.5) = 690 pounds/hour.
Next, we can calculate the y-intercept (b) using the formula: b = y - mx. Plugging in the values for one of the points (1445 pounds in 4.5 hours), we have: 1445 = 690(4.5) + b. Solving for b, we get: b = -560.5 pounds.
Therefore, the linear equation to model the relationship between the weight of strawberries S and time T is: S = 690T - 560.5. To find the number of pounds of strawberries that can be processed in 11 hours, we can substitute T = 11 into the equation: S = 690(11) - 560.5 = 7109.5 pounds.
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Ella writes about 7 songs every 5 months. at this rate, how many songs could she write in 50 months?
what is the domain of this function p(w) 2/3w^9
...?
You have a fractions, so the only thing you must be sure of is that the denominator is not zero.
In your case, the denominator is given by the function f(w)=3w9. You need to find out the values of w for which f(w)=0. You have
f(w)=0⇔3w9=0⇔w9=0⇔w=9√0=0
So, your only problem is w=0, and all other numbers are fine.
Your domain is thus given by the set {x∈R∣x≠0}
The domain can also be written as (−∞,0)∪(0,+∞).
help please!!!!!!!!!!!!!!!!!!!!!
Two numbers have prime factorizations of 2 2 · 3 · 5 and 2 · 3 2 · 7.
Which expression can be used to find their least common multiple?
...?
2^2 x 3^2 is the answer... don't be rude and mark the other person bad she gave you a good explanation and fixed your question AND got the answer right... write you question correctly cause you probably just copied it and didn't fix it up!
Just do this for future questions!
The daily fat allowance is 70g, the dinner has 48g. What percentage of her total daily allowance of fat will the dinner be?
what are the binomial factors of the expression below? x^2-2x-15 Answers A. (x+3)(x+5) B. (x+3)(x-5) C. (x-3)(x+5) D. (x-3)(x-5)
Answer:
B.[tex](x-5)(x+3)[/tex]
Step-by-step explanation:
We are given that an expression
[tex]a^2-2x-15[/tex]
We have to find the binomial factors of the given expression.
[tex]x^2-2x-15[/tex]
To find the factors of given expression we will use of middle term splitting factor method.
The given can be written as
[tex]x^2-5x+3x-15[/tex]
[tex]x(x-5)+3(x-5)[/tex]
Taking (x-5) common
[tex](x-5)(x+3)[/tex]
Hence, the binomial factors of given expression is given by
[tex](x-5)(x+3)[/tex]
Option B is true.
Multiply. write your answer in simplest form. 35/70