Answers
The basic idea is that you set your compass to have a distance somewhat greater than half the distance between the points you want to bisect. (Setting it to approximately their distance apart works pretty well.) Then you make arcs on either side of the line between the points.
Use the same compass setting to make arcs from both the points you want to bisect. The arcs should be drawn so they have points of intersection. The line between those intersection points is the bisector of the segment (and figure) between the given points.
That process of drawing the arcs and using a straightedge to connect their points of intersection constitutes the construction you are asked to do.
In (3), the point S is where your bisector crosses the given curve.
In (4), the two bisectors of AB and BC will be expected to cross each other at approximately the midpoint between A and C.
Related Questions
Assume that triangle GHI is congruent to LMN. Which of the following congruence statement are correct? check all that apply
Answers
Therefore, if GHI is congruent to LMN, then GH =LM, HI=MN and GI=LN, and also angle G=angle L, Angle H=angle M, while angle I = angle N, therefore the correct answers is a) ∠M= ∠H, c) ∠L=∠G. and e)IH=NM.
The congruence statements that are correct for the given scenario are △GHI ≅ △LMN, △IHG ≅ △NML, and △GIH ≅ △NML.
Explanation:The correct congruence statements for the given scenario are:
△GHI ≅ △LMN (by definition of congruence)△IHG ≅ △NML (by symmetry of congruence)△GIH ≅ △NML (by transitive property of congruence)These congruence statements indicate that the corresponding sides and angles of the triangles are equal, leading to overall congruence.
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Kirstie is testing values that would make triangle klm a right triangle when ln is an altitude, and km = 16, as shown below. which lengths would make triangle klm a right triangle? 1) lm = 13 and kn = 6 2) lm = 12 and nm = 9 3) kl = 11 and kn = 7 4) ln = 8 and nm = 10
Answers
Answer: Option (2) is correct.
Step-by-step explanation:
Since we have given that
KLM is a right triangle, in which KM = 15, and ln is an altitude.
As we know that for right angled triangle, there are 3 conditions :
[tex]KL^2=KN.KM-----(1)\\\\ML^2=MN.KM-------(20\\\\LN^2=KN.MN------(3)[/tex]
So, According to the options ,
Put LM = 12, NM = 9,
[tex]\text{Using eq. (3), we have}\\\\LN^2=KM.MN\\\\12^2=9\TIMES 16\\\\144=144[/tex]
Since, it satisfies that KLM is a right triangle.
Hence, Option (2) is correct.
Using Pythagorean theorem, Option D: [tex]\( LM = 8 \)[/tex] and [tex]\( NM = 10 \)[/tex], satisfies [tex]\( KM^2 = LM^2 + NM^2 \)[/tex].
[tex]\( LM = 12 \) and \( NM = 9 \).[/tex]To determine which lengths would make triangle [tex]\(KLM\)[/tex] a right triangle when [tex]\(\overline{LN}\)[/tex] is an altitude and [tex]\(KM = 16\)[/tex], we can use the Pythagorean theorem to check each given set of values. We know that [tex]\(\overline{LN}\)[/tex] divides [tex]\(KLM\)[/tex] into two right triangles, [tex]\( \triangle KNL \)[/tex] and [tex]\(\triangle LNM\)[/tex].
We will check each given option to see if the Pythagorean theorem holds.
Option A: [tex]\( LM = 13 \)[/tex] and [tex]\( KN = 6 \)[/tex]
Here, [tex]\( LN \)[/tex] is the altitude. Let [tex]\( NM = x \)[/tex], then [tex]\( KM = KN + NM \)[/tex], so:
[tex]\[ x = 16 - 6 = 10 \][/tex]
For [tex]\( \triangle LNM \)[/tex]:
[tex]\[ LM^2 = LN^2 + NM^2 \][/tex]
[tex]\[ 13^2 = LN^2 + 10^2 \][/tex]
[tex]\[ 169 = LN^2 + 100 \][/tex]
[tex]\[ LN^2 = 69 \][/tex]
[tex]\[ LN = \sqrt{69} \approx 8.3 \][/tex]
For [tex]\( \triangle KNL \)[/tex]:
[tex]\[ KL^2 = KN^2 + LN^2 \][/tex]
[tex]\[ KL^2 = 6^2 + 69 \][/tex]
[tex]\[ KL^2 = 36 + 69 \][/tex]
[tex]\[ KL^2 = 105 \][/tex]
[tex]\[ KL \approx 10.2 \][/tex]
These calculations do not match the given [tex]\(KL\)[/tex] value.
Option B: [tex]\( LM = 12 \) and \( NM = 9 \)[/tex]
Here, [tex]\( LN \)[/tex] is the altitude. Let [tex]\( KN = x \)[/tex], then:
[tex]\[ x = 16 - 9 = 7 \][/tex]
For [tex]\( \triangle LNM \)[/tex]:
[tex]\[ LM^2 = LN^2 + NM^2 \][/tex]
[tex]\[ 12^2 = LN^2 + 9^2 \][/tex]
[tex]\[ 144 = LN^2 + 81 \][/tex]
[tex]\[ LN^2 = 63 \][/tex]
[tex]\[ LN = \sqrt{63} \approx 7.9 \][/tex]
For [tex]\( \triangle KNL \):[/tex]
[tex]\[ KL^2 = KN^2 + LN^2 \][/tex]
[tex]\[ KL^2 = 7^2 + 63 \][/tex]
[tex]\[ KL^2 = 49 + 63 \][/tex]
[tex]\[ KL^2 = 112 \][/tex]
[tex]\[ KL \approx 10.6 \][/tex]
These calculations do not match the given [tex]\(KL\)[/tex] value.
Option C: [tex]\( KL = 11 \)[/tex] and [tex]\( KN = 7 \)[/tex]
Here, [tex]\( LN \)[/tex] is the altitude. Let [tex]\( NM = x \)[/tex], then:
[tex]\[ x = 16 - 7 = 9 \][/tex]
For [tex]\( \triangle KNL \)[/tex]:
[tex]\[ KL^2 = KN^2 + LN^2 \][/tex]
[tex]\[ 11^2 = 7^2 + LN^2 \][/tex]
[tex]\[ 121 = 49 + LN^2 \][/tex]
[tex]\[ LN^2 = 72 \][/tex]
[tex]\[ LN = \sqrt{72} \approx 8.5 \][/tex]
For [tex]\( \triangle LNM \)[/tex]:
[tex]\[ LM^2 = LN^2 + NM^2 \][/tex]
[tex]\[ LM^2 = 72 + 9^2 \][/tex]
[tex]\[ LM^2 = 72 + 81 \][/tex]
[tex]\[ LM^2 = 153 \][/tex]
[tex]\[ LM \approx 12.4 \][/tex]
These calculations do not match the given [tex]\(LM\)[/tex] value.
Option D: [tex]\( LN = 8 \) and \( NM = 10 \)[/tex]
Here, [tex]\( LN \)[/tex] is the altitude. Let [tex]\( KN = x \)[/tex], then:
[tex]\[ x = 16 - 10 = 6 \][/tex]
For [tex]\( \triangle LNM \)[/tex]:
[tex]\[ LM^2 = LN^2 + NM^2 \][/tex]
[tex]\[ LM^2 = 8^2 + 10^2 \][/tex]
[tex]\[ LM^2 = 64 + 100 \][/tex]
[tex]\[ LM^2 = 164 \][/tex]
[tex]\[ LM \approx 12.8 \][/tex]
For [tex]\( \triangle KNL \)[/tex]:
[tex]\[ KL^2 = KN^2 + LN^2 \][/tex]
[tex]\[ KL^2 = 6^2 + 8^2 \][/tex]
[tex]\[ KL^2 = 36 + 64 \][/tex]
[tex]\[ KL^2 = 100 \][/tex]
[tex]\[ KL = 10 \][/tex]
These calculations match the given lengths.
Thus, the correct answer is:
D. [tex]\( L N = 8 \) and \( N M = 10 \)[/tex]
The correct question is given below:
evaluate -x+4y when -x=-4/5 and y= 1/3 write your anwser as a fraction or mixed number
Answers
= -4/5 + 4(1/3)
= -4/5 + 4/3
= -12/15 + 20/15
= 8/15
answer
8/15
The value of expression with the given x and y value is 8/15.
The given expression is -x+4y, -x=-4/5 and y=1/3.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
Now, put x=4/5 and y=1/3 in the given expression and simplify
That is, -4/5 + 4(1/3)
=-4/5 + 4/3
Take LCM of denominators 5 and 3 is 15
Now, -12/15 + 20/15
=(-12+20)/15
=8/15
Therefore, the value of expression with the given x and y value is 8/15.
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Write a sentence representing the equation x+56/7=11
Answers
x+56/7=11
A number plus fifty-six sevenths is equal to eleven.
I hope this helps!
~kaikers
A speech pathologist had a gross income of 62,650 last year. if 18.9% of her income got withheld for federal income tax how much of the pay got withheld for federal income tax last year
Answers
Answer:
$11,840.85
Step-by-step explanation:
simplfy 5(9)
will give brainlest
Answers
Hope this helps!
Burt & ernie went to the toy store & saw a total of 51 rubber duckies. they saw twice as many yellow as orange. let y = the # of yellow duckies & r = the # of orange duckies. write a system that could be used to find the total of each color & then solve.
Answers
y = 2r
There are 34 yellow rubber ducks.
There are 17 orange rubber ducks.
Antoine wants to convert millimeters into kilometers. Which operation should he choose?
Answers
1m = 100m
1000m = 1000 x 100cm
1000m = 100 000cm
1cm = 10 mm
100 000 cm = 100 000 mm x 10mm
100 000 cm = 1000 000 mm
therefore 1km = 1000 000mm
solve f(1) for f(x)=1-5x
f(1)= [?]
Answers
________________________________________
" f(x) = - 4 " .
________________________________________
Explanation:
________________________________________
Given: " f(x) = 1 – 5x " ; Find: " f(1) " ;
Substitute "1" for values of "x" ;
→ f(1) = 1 – 5(1) = 1 – 5 = - 4 .
The answer is: "- 4 " .
________________________________________
" f(x) = - 4 " .
________________________________________
Ali must choose a number between 61 and 107 that is a multiple of , 2, 4 and 5 . Write all the numbers that he could choose.
Answers
(2x40) (4x20) (5x16)
100 is also a multiple of all three
(2x50) (4x25) (5x20)
The numbers between 61 and 100 are given as 80 and 100.
How to find the LCM of two numbers?The LCM or least common multiple of two numbers is such a small number that is divisible by both. It can be obtained by taking the prime factors of both the numbers and then taking the product of them having highest power.
The required numbers between 61 and 107 are given as follows,
The LCM of 2,4 and 5 is 20.
Thus, the numbers divisible by 2, 4 and 5 are multiples of 20.
Now, the multiples of 20 are 20, 40, 60, 80 and 100.
80 and 100 lies between 61 and 107.
Hence, the numbers that Ali can choose are given as 80 and 100.
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The sum of the first and second of three consecutive even integers is 158. find the three even integers.
Answers
WXYZ is an isosceles trapezoid with legs WX and YZ and a base XY. If the length of WX is 6x+5, the length of XY is 10x+4 and the length of YZ is 8x-3, find the value of x.
Answers
Since it is an isosceles trapezoid, the legs are congruent; that means
6x + 5 = 8x - 3
When solving this equation, we do not want a variable on both sides. We will cancel the 6x to avoid negatives:
6x + 5 - 6x = 8x - 3 - 6x
5 = 8x - 3 - 6x
Combine like terms:
5 = 2x - 3
Cancel the 3 by adding:
5 + 3 = 2x - 3 + 3
8 = 2x
Cancel the 2 by dividing:
8/2 = 2x/2
4 = x
See answer in attachment.
Hope it helps you.
Phil received a prize of x dollars from a poker tournament. The tournament cost him 100 dollars to enter. What were Phil's net winnings from the tournament? Write your answer as an expression.
Answers
Phil gets x dollars, but before he gets x dollars, he needs to pay 100 dollars to enter the tournament. Therefore the net winning is not x dollars but you should substract 100 dollars from x.
So, the expression of the net winning will be x-100
Answer: [tex]x-100[/tex]
Step-by-step explanation:
Given : Phil received a prize of x dollars from a poker tournament.
The tournament cost him 100 dollars to enter.
To find Phil's net winnings from the tournament, we need to subtract the tournament cost from the prize amount he had won.
Thus, the expression to show Phil's net winnings from the tournament :-
[tex]x-100[/tex]
Danes puppy weighed 8 ounces when it was born.Now the puppy weighs 18 times as much as it did when it was born. How many pounds does Danes puppy weigh now.
Answers
Why is circle 1 similar to circle 2?
Circle 1: center (0, 9) and radius 14
Circle 2: center (0, 9) and radius 7
.
A) Circle 1 is a dilation of circle 2 with a scale factor of 2.
.
B) Circle 1 is a dilation of circle 2 with a scale factor of 7.
.
C) Circle 1 is a translation of circle 2.
.
D) Circle 1 and circle 2 have the same center.
Answers
1/2 = r1/r2 = 14/7 = 2 --> dilation scale factor
We have a golden rule about similarity of figures. It is "All circle are always similar to each other".
In other words, Every circle is dilated version of another circle. To find the value of dilation, we can find the ratio of its redii.
The ratio of radii of two circles is called the scale factor of dilation between them.
Given are two circles with following information :-
Circle 1: center (0, 9) and radius 14
Circle 2: center (0, 9) and radius 7
Finding the ratio of their radii :-
[tex] \frac{Circle\; 1\; radius}{Circle\; 2\; radius} =\frac{14}{7} = 2 [/tex]
So, scale factor is 2. It means circle 1 is a dilation of circle 2 with a scale factor of 2.
Hence, option A is correct i.e. Circle 1 is a dilation of circle 2 with a scale factor of 2.
Which of the following is a solution of y - x > -3?
(6, 2)
(2, 6)
(2, -1)
Answers
y - x > -3
(6, 2) → x = 6, y = 2
substitute
2 - 6 = - 4 < -3 NOT
(2, 6) → x = 2, y = 6
substitute
6 - 2 = 4 > -3 CORRECT
(2, -1) → x = 2, y = -1
substitute
-1 - 2 = -3 NOT
Answer: (2, 6)
The length of a rectangular park is 20 feet longer than the width of the park. If the length of the park is 36 feet, what is the width of the park? 4 feet 16 feet 42 feet 56 feet
Answers
For the following figure, complete the statement about the points. If U lies on the same line as R and N, what terms describe the relationship the three points must have?
Answers
Collinear because any points that is "on" the same line is considered collinear.
It can be Coplanar when any 3 points lie in the same plane, but this problem does not say that. It only asks if point U can be anywhere on the line including R and N.
Hope this helps! :) thanks to: Chaya1Cc for the most brainliest answer
The term that describes the relationship the three points must have is known as: collinear.
What are collinear points?Collinear points are points positioned on a shared straight line, forming a linear arrangement.
In the figure referred to above, we see that point U is on the same straight line as point R and point N. This makes than have a linear arrangement, hence, we can use the term known as collinear to describe the relationship between the three points.
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helppppppppppppppppppppp
Answers
18√2
Explanation:
18 = 9*2
Therefore:
√18 = √9 * √2 = 3√2 ........> I
162 = 81*2
Therefore:
√162 = √81 * √2 = 9√2 ...........> II
The given expression is:
2√18 + 3√2 + √162
Substitute with I and II and evaluate the result as follows:
2√18 + 3√2 + √162
2*3√2 + 3√2 + 9√2
6√2 + 3√2 + 9√2
= (6+3+9)√2
= 18√2
Hope this helps :)
If F(x)=x-5 and G(x)=x^2, what is F(F(x))?
Answers
G(F(x)) = (x -5)² . . . . . . . matches selection A.
Answer:
(A)[tex]G(F(x))=(x-5)^2[/tex]
Step-by-step explanation:
Given: It is given that [tex]F(x)=x-5[/tex] and [tex]G(x)=x^2[/tex].
To find: [tex]G(F(x))[/tex]
Solution:
It is given that [tex]F(x)=x-5[/tex] and [tex]G(x)=x^2[/tex], then [tex]G(F(x))[/tex] is written as:
[tex]G(F(x))=G(x-5)[/tex]
⇒[tex]G(F(x))=(x-5)^2[/tex]
Thus, it matches with the option A of the given options.
The diameter of the base of a cylindrical can is 4 in. The height of the can is 6.5 in. Find the can’s surface area to the nearest tenth.
Answers
diameter of the base of a cylindrical can= 4 in----------> r=2 in
h=6.5 in
[surface area]=2*[pi*r²]+[2*pi*r*h]
then
[surface area]=2*[pi*2²]+[2*pi*2*6.5]=[ 25.13 ]+[ 81.68 ]=106.81 in²
the answer is 106.8 in²
Answer:
106.8 in2
Step-by-step explanation:
Jen picked 3/4 of a gallon of strawberries in half an hour. If she keeps picking strawberries at the same rate, how many gallons will she have picked in 2 hours.
Answers
3/4 = 0.75 as a decimal
We know that Jen picks 0.75 of a gallon of strawberries in half an hour, and now we want to find out how many gallons she'll pick in 2 hours.
Half an hour = 0.5 2 ÷ 0.5 = 4 There are four half hours in 2 hours.
0.75 × 4 = 3
ANSWER:
Jen will have picked 3 gallons of strawberries in 2 hours.
Joselyn is a manager at a sign-painting company. She has two painters, Allen and Brianne. Allen can complete a large project in 16 hours. Brianne can complete the project in 18 hours. Joselyn wants to know how long it will take them to complete the project together.
Write an equation and solve for the time it takes Allen and Brianne to complete the project together. Explain each step.
Answers
Brianne can take 18 hours;
Therefore, in 1 hour Allen will complete a fraction of 1/16, while
in 1 hour Brianne will complete a fraction of 1/18
When working together, in 1 hour they will complete a fraction of (1/18+1/16)
= 17/144,
Therefore; to complete the whole project working together, they will take;
144/17 = 8.47 hours
The area of a rectangle is 300 square centimeters. If the sides of the rectangle are given as 5 centimeters and [tex] \sqrt{x+2600} [/tex] centimeters, then find the value of x and the other side of the rectangle.
Answers
Area is found by multiplying length by width. Using the sides we know we have
[tex]300=5(\sqrt{x+2600})[/tex]
We divide both sides by 5:
[tex]\frac{300}{5}=\frac{5\sqrt{x+2600}}{5} \\ \\60=\sqrt{x+2600}[/tex]
To "undo" a square root, we square both sides:
[tex]60^2=(\sqrt{x+2600})^2 \\ \\3600=x+2600[/tex]
Subtract 2600 from both sides:
3600-2600=x+2600-2600
1000=x
Now we substitute this into the side with x:
[tex]\sqrt{x+2600}=\sqrt{1000+2600}=\sqrt{3600}=60[/tex]
Which describes how to calculate the range of this data set?
4, 5, 6, 8, 11, 12
A. Subtract 11- 5
B. Subtract 12- 4
C. Add 11+ 5
D. Add 12+ 4
Answers
B. 12 - 4 = 8.
This is the Range.
The range of this data set will be 8. The range of the data set is simply the difference between the maximum and the minimum value.
What is a data set?A data set is a set of information that corresponds to one or more database tables in the case of tabular data,
The maximum value is 12
The minimum value is 4
The range of the data set will be;
R = M-m
R=12-4
R=8
Hence the range of this data set will be 8.
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Add the opposite number of 1 1/5 to the sum of the numbers (−8 3/4 ) and (−2 5/6 ).
Answers
-8 3/4 = -8 9/12 (multiply 4 by 3 to get 12, so multiply the numerator, 3, by 3 as well)
-2 5/6 = -2 10/12 (multiply 6 by 2 to get 12, so multiply the numerator, 5, by 2 as well)
-8 9/12 + -2 10/12 = -10 19/12
We must convert the improper fraction. 12 goes into 19 1 time with 7 left over, so 19/12 = 1 7/12
This means that -10 19/12 = -11 7/12
The opposite of 1 1/5 is -1 1/5. Add this to -11 7/12. Again find the LCD; in this case it is 60.
-1 1/5 = -1 12/60
-11 7/12 = -11 35/60
Adding these two we get -12 47/60.
The result of the sum of the three numbers is: [tex]\frac{-767}{60}[/tex]
The numbers are given as:
Number 1: 1 1/5Number 2: -8 3/4Number 3: -2 5/6Start by calculating the sum of numbers 2 and 3 as follows:
[tex]Sum = -8\frac 34 -2\frac 56[/tex]
Express the numbers as improper fraction
[tex]Sum = -\frac{35}4 -\frac{17}6[/tex]
Take LCM
[tex]Sum = \frac{-3 \times 35 - 2 \times 17}{12}[/tex]
[tex]Sum = \frac{-139}{12}[/tex]
The opposite of number 1 is: -1 1/5
So, the overall sum is:
[tex]Sum = -1\frac 15 - \frac{139}{12}[/tex]
Express as improper fraction
[tex]Sum = -\frac 65 - \frac{139}{12}[/tex]
Take LCM
[tex]Sum = \frac{-72 - 695}{60}[/tex]
[tex]Sum = \frac{-767}{60}[/tex]
Hence, the result of the sum is: [tex]\frac{-767}{60}[/tex]
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nick is stuck at the top of a ferris wheel. his mother is standing 38 feet from the base of the wheel watching him. if the angle of elevation from nick's mom to nick is 73 degrees, how far off the ground is nick?
A. 118.2 ft
B. 120.9 ft
C. 124.3 ft
D. 126.5 ft
E. 128.1 ft
Answers
make sure your calculator is in Degree mode.
Answer:
C. 124.3 ft
Step-by-step explanation:
Let h represent Nick's distance from ground.
We have been given that Nick is stuck at the top of a ferris wheel. his mother is standing 38 feet from the base of the wheel watching him. The angle of elevation from nick's mom to nick is 73 degrees.
Nick, his mother and angle of elevation forms a right triangle with respect to ground, where, h is opposite side and 38 feet is adjacent side.
[tex]\text{tan}=\frac{\text{Opposite}}{\text{Hypotenuse}}[/tex]
[tex]\text{tan}(73^{\circ})=\frac{h}{38}[/tex]
[tex]\text{tan}(73^{\circ})*38=\frac{h}{38}*38[/tex]
[tex]3.270852618484*38=h[/tex]
[tex]h=3.270852618484*38[/tex]
[tex]h=124.292399502392[/tex]
[tex]h\approx 124.3[/tex]
Therefore, Nick is 124.3 feet above the ground.
What is the volume of the cone with diameter 7in and height 9in? Round to the nearest cubic inch
Answers
radius = 7÷2 = 3.5
Volume of cone = 1/3 [tex] \pi r^{2} h[/tex]
Volume of cone = 1/3 [tex] \pi 3.5^{2} (9)[/tex] = 115 cubic inches (Answer B)
Eight subtracted from the product of
5
and a number is at most
30
.
Use the variable
c
for the unknown number.
Answers
represents your word statement.
helpppppppppppppppppppppppppppppppppppppppp
Answers
What we must do in this case is to use the properties of the exponents:
We have then:
((x ^ (1/4)) * (y ^ 16)) ^ (1/2)
((x ^ (1/8)) * (y ^ 8))
answer:
((x ^ (1/8)) * (y ^ 8))
option number 2