Marcello is constructing the perpendicular bisector of AB¯¯¯¯¯. He has already constructed arcs as shown.
What should Marcello do for his next step?
a) Place the point of the compass on point X and draw an arc, using AY as the width for the opening of the compass.
b) Use the straightedge to draw a line through points X and Y.
c) Use the straightedge to draw AX←→ and AY←→.
d) Place the point of the compass on point X and draw an arc, using AX as the width for the opening of the compass.
Answers
Answer: "Use the straightedge to draw a line through points X and Y." is the right answer.
Step-by-step explanation:
To perpendicular bisector of line segment AB. There are following steps:
1) Draw arcs from points A and B on the both sides of AB.
2) Name the intersection points as X and Y.
3) Use the straightedge to draw a line through points X and Y.
4) Name the point as O
hence we have construct perpendicular bisector XY of AB which bisects at O.
Related Questions
What is the exact value of tan (-pi/3)?
Answers
Answer:
[tex]-\sqrt{3}[/tex]
Step-by-step explanation:
we know that
[tex]tan(-\frac{\pi}{3})=-tan(\frac{\pi}{3})[/tex]
and
[tex]tan(\frac{\pi}{3})=\frac{sin(\frac{\pi}{3})}{cos(\frac{\pi}{3})}[/tex]
remember that
[tex]cos(\frac{\pi}{3})=\frac{1}{2}[/tex]
[tex]sin(\frac{\pi}{3})=\frac{\sqrt{3}}{2}[/tex]
substitute the values
[tex]-tan(\frac{\pi}{3})=-\frac{(\sqrt{3}/2)}{(1/2)}\\ \\=-\sqrt{3}[/tex]
Use the formula C = 2πr and π= 3.14 to find the circumference of a circle with a radius of 5 meters.
A.15.7 m
B.78.5 m
C.3.140 m
D.31.4 m
E.34.54 m
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Just put into a calculator
Hope I helped :)
Should your calculator be in radians or degrees for physics
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When rewriting y = 2x + 1 in function notation, what do you replace with f(x)?
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So it becomes f(x)=2x+1
f(x) = 2x +1
some integers are whole numbers? true or false
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The sum of the circumference of a circle and the perimeter of a square is 16. find the dimensions of the circle and square that produce a minimum total area. (let x be the length of a side of the square and r be the radius of the circle.)
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Let x = the length of a side of the square.
The sum of the circumference of the circle and the perimeter of the square is 16.
Therefore
2πr + 4x = 16
That is
[tex]r = \frac{2}{ \pi } (4-x)[/tex] (1)
The combined area of the circle and the square is
[tex]A = \pi r^{2} + x^{2}[/tex] (2)
From (1), obtain
[tex]A = \pi . \frac{4}{ \pi ^{2}}(4-x)^{2} + x^{2} = \frac{4}{ \pi } (4-x)^{2}+x^{2} [/tex]
In order for A to be minimum, A' = 0.
That is,
[tex]- \frac{8}{ \pi } (4-x)+2x=0 \\x(2+ \frac{8}{ \pi } ) = \frac{32}{ \pi } \\ x =2.2404[/tex]
The second derivative should be positive in order for A to be minimum.
A'' = 8/π + 2 > 0 , so the condition is satisfied.
The graph shown below confirms this.
From (1), obtain
r = (2/π)*(4 - 2.2404) = 1.1202
Answer:
r = 1.12 and x = 2.24
Find the roc of the volume of a cube with respect to the length of its side s when s = 25.
Answers
V=25³=15625
Volume of a cube with the length of the side equal to 25 is 15625
Solve for x.
2x−45=x+4
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Geometry! What describes line FI?
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Select the table that represents the following graph.
The stuff is on the links/screenshots
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Answer:
The first image in your answer choices
Explanation:
To find the table of solutions for the given graph, we observe points on the graph that are intersected by the line.
The easiest starting point is often where the line intercepts (or crosses) the vertical y-axis. This occurs one unit above the origin (0,0), so we would say list this point as ordered pair (0, 1). This eliminates the third and fourth tables as answer choices.
Now we use the horizontal x-axis to find other points that the line crosses through. Starting at x = 1, we can see the line goes through the point 4 units above the x-axis here; therefore, its ordered pair is (1, 4). This eliminates the second table as an answer choice.
Let's use one more point to confirm we have the right choice. Starting at x = -1, we can see the line goes through the point 2 units below the x-axis here; therefore its ordered pair is (-1, -2).
The first table contains all of these ordered pairs (0, 1), (1, 4), and (-1, -2), making it your answer choice.
Solve for x. 9≤17−4x Enter your answer, as an inequality, in the box.
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9 - 17 ≤ 17 - 17 - 4x
-8/-4 ≤ - 4x/-4
x≤ 2
hope this helps
The first thing you need to do is get rid of the 17 to leave -4x isolated..
so subtract -17 from 9 = -8 ≤-4x divide -4 from both sides = x≤2
Which of the following angles is in the solution set of sec^2θ - 3secθ - 2 = 0 for 0° ≤ θ < 360°.
A. 0°
B. 56°
C. 60°
D. 74°
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1 - 3 cos O - 2 cos^2 O = 0
2 cos^2 O + 3 cos O - 1 = 0
cos O = 0.2807 , -1.78 ( -1.78 cannot be a solution)
O = 74 degrees (from 0.2807) another solution is 360-74 = 286 degrees
Its D
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A quadrilateral is shown on the graph:
What effect will a reflection about the x-axis have on the quadrilateral? Be sure to address how it could impact the angles, side lengths, and congruency between the original pre-image and the image.
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Answer:
The angles and side length would remain the same, the only thing that would change is the cornents, therefore the original pre image and the image would be congruent.
Step-by-step explanation:
Both equations in a system of linear equations have y-intercepts at (0,2). is it possible for this system to have only one solution?
Answers
Both equations in a system of linear equations have y-intercepts at (0,2) but it is not possible for this system to have only one solution because it depends on another point as well.
Given :
Both equations in a system of linear equations have y-intercepts at (0,2).
The following steps can be used in order to determine the system have only one solution or not:
Step 1 - According to the given data, both equations in a system of linear equations have y-intercepts at (0,2).
Step 2 - The equation of a line is given by:
[tex]\dfrac{y-y_1}{x-x_1}=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Step 3 - From the above steps, it can be concluded that it does not say that the system to have only one solution because it depends on another point as well.
For more information, refer to the link given below:
https://brainly.com/question/2564656
Mr. Greenjeans planted 6 different crops on 2 acres of land. If half of it was planted with green beans, how many acres were planted with green beans?
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To determine how many acres were planted with green beans, we simply take half of the total acreage. Mr. Greenjeans planted a total of 2 acres, so half of this is 1 acre; therefore, 1 acre was planted with green beans.
The question is asking how many acres were planted with green beans, given that Mr. Greenjeans planted crops on 2 acres of land and half of it was with green beans. To find the answer, we need to calculate half of the total land area.
Here is the step-by-step explanation:
Start with the total number of acres: 2 acres.Since half of the land was planted with green beans, we divide the total acres by 2.2 acres / 2 = 1 acre.Therefore, Mr. Greenjeans planted 1 acre of land with green beans.
If 8 ounces of a sports drink contain 110 milligrams of sodium what is the total number of milligrams of sodium in 20 ounces of the sports drink
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Work:
I divided 110 by 8 which gave me 13.75
13.75 is the milligrams of sodium in each ounce.
I then divided it by 20 and got 275 the number of milligrams in a 20 ounce drink.
Which scientist arrived at a fairly accurate calculation of the value of pi?
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The graph of a linear function h contains the points given in the table below.
Find h^-1. x y
-2,4
-1,2
1,-2
2,-4
a.h^-1(x)=2x
b.h^-1(x)=-2x
c.h^-1(x)=1/2x
d.h^-1(x)=-1/2x
Answers
y=-2x
inverse x=-2y
y= -1/2x
Answer:
h-1(x) = -x
Step-by-step explanation:
The radius of a cylindrical construction pipe is 2ft . if the pipe is 23ft long, what is its volume? use the value 3.14 for π , and round your answer to the nearest whole number. be sure to include the correct unit in your answer.
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In how many distinct ways can the letters in engineering be arranged?
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So the answer is
11!=39916800
Joanne had $115 to spend at the mall. She spent 23% of that money on a shirt. How much did Joanne spend on the shirt?
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What you do is on a calculator: 115 x 23%
Hope this helps :)
How many three quarter pound burgers can be made with twelve pounds of hamburger?
Answers
Answer:
[tex]16\ burgers[/tex]
Step-by-step explanation:
Let
n ----> the number of burgers
x ----> the total pounds of hamburger
we know that
To find out the number of burgers, divide the total pounds of hamburger by three quarter pound (3/4 lb)
we have
[tex]x=12\ lb[/tex]
so
[tex]n=\frac{12}{(3/4)}=\frac{48}{3}=16\ burgers[/tex]
This results in 16 burgers. To find out how many three quarter pound burgers can be made with twelve pounds of hamburger, you divide the total pounds of hamburger by 0.75.
First, you need to perform a division calculation.
Note that a three quarter pound burger is equivalent to 0.75 pounds.
Determine how many three quarter pound burgers equal twelve pounds by dividing the total pounds of hamburger by the weight of one burger:12 pounds ÷ 0.75 pounds per burger = 16 burgers.Therefore, you can make 16 three quarter pound burgers with twelve pounds of hamburger.
What is 187.023 in word form
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The composition do,0.75(x,y) ∘ do,2(x,y) is applied to △lmn to create △l''m''n''. which statements must be true regarding the two triangles? check all that apply. ∠m ≅ ∠m'' △lmn ~ △l''m''n'' △lmn ≅ △l''m''n'' the coordinates of vertex l'' are (-3, 1.5). the coordinates of vertex n'' are (3, -1.5). the coordinates of vertex m'' are (1.5, -1.5).
Answers
Answer:
A. ∠M ≅ ∠M''
B. △LMN ~ △L''M''N''
E. The coordinates of vertex N'' are (3, -1.5).
Step-by-step explanation:
Transformation involves changing the position and size of a shape.
The true statements are:
[tex]\mathbf{\angle m \cong \angle m"}[/tex].[tex]\mathbf{\triangle lmn \sim \triangle l"m"n"}[/tex].The coordinates of n" are [tex]\mathbf{N" = (3,-1.5)}[/tex].The coordinates of the triangle are:
[tex]\mathbf{L = (-1, 2)}[/tex]
[tex]\mathbf{ M = (-1, -1)}[/tex]
[tex]\mathbf{N = (2, -1)}[/tex]
The transformation rule is given as:
[tex]\mathbf{do, 0.75(x,y)\circ,2(x,y)}[/tex]
The transformation rule is a dilation by a factor of 0.75, and then a factor of 2.
Uniform dilation changes the size of a shape, but the angles remain unchanged. This means that:
[tex]\mathbf{\angle l \cong \angle l"}[/tex].[tex]\mathbf{\angle m \cong \angle m"}[/tex].[tex]\mathbf{\angle n \cong \angle n"}[/tex].[tex]\mathbf{\triangle lmn \sim \triangle l"m"n"}[/tex]The above highlights means that:
The angles of both triangles are congruentThe triangles are similarNext, we apply the rule on the coordinates of the triangle
[tex]\mathbf{L" = 0.75 \times 2 \times (-1,2)}[/tex]
[tex]\mathbf{L" = (-1.5,3)}[/tex]
[tex]\mathbf{M" = 0.75 \times 2 \times (-1,-1)}[/tex]
[tex]\mathbf{M" = (-1.5,-1.5)}[/tex]
[tex]\mathbf{N" = 0.75 \times 2 \times (2,-1)}[/tex]
[tex]\mathbf{N" = (3,-1.5)}[/tex]
Hence, the true statements are:
[tex]\mathbf{\angle m \cong \angle m"}[/tex].[tex]\mathbf{\triangle lmn \sim \triangle l"m"n"}[/tex].The coordinates of n" are [tex]\mathbf{N" = (3,-1.5)}[/tex].Read more about transformations at:
https://brainly.com/question/11709244
Help please me thanks
Answers
Thomas has $6.35 in dimes and quarters the number of dimes is three more than three times the number of quarters how many quarters does he have?
let q represent the number of quarters then which of the following expressions represents the value of number of dimes in cents?
a)3q+3
b)6.35-q
c) 10(3q+3)
Answers
T = +3 * 3q
or 3q + 3
The answer is A
The answer is
c) 10(3q + 3)
because it is asking for the VALUE of the number of dimes, not the number of dimes. To get the value of the number of dimes, you have to take the equation 3q+3 and multiply it by 10.
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A boat takes 3.6 h to travel downstream from its dock to a fishing hole. If the water were still, it would have taken 4.5 h to make the trip. Let x represent the speed of the boat and let y represent the speed of the water.
(a) Write an expression for the distance traveled in moving water, using 3.6 h for the time. Then write an expression for the distance traveled as if in still water, using 4.5 h for the time.
(b) Set the expressions in Part (a) equal to each other. Then solve the equation for y. Show your work.
(c) What percent of the boat’s speed is the water current?
Answers
t1 = 3.6 h
t2 = 4.5 h
x = speed of boat
y = speed of water
Required:
a) Expression of distance traveled with moving water with 3.6h
Expression of distance traveled with moving water with 4.5h
b) Solve for y
c) Percent of boat's speed is the water current
Solution:
Working formula: distance = velocity*time
a) For travelling downstream, we get the equation
d = (x +y)*3.6
For travelling upstream, we get the equation
d = (x-y)*4.5
b) Setting the distance as equal for travelling upstream or downstream, we arrive at the equation of
(x+y)*3.6 = (x-y)*4.5
3.6x + 3.6y = 4.5x - 4.5y
8.1y =0.9x
y = x/9
c) percentage = 1/9*100% = 11.1%
ANSWERS: a) d = (x+y)*36; d = (x-y)*4.5
b) y = x/9
c) 11.1%
For a field trip, a bus company charges a flat fee plus an additional fee per student. for 25 students, the total cost is 132.50. if there are 30 students, the total cost is 145. which equation represents the total cost y of the field trip for x students?
Answers
Answer:
[tex]y=2.5x+70[/tex]
Step-by-step explanation:
First of all, this problem is modelled by a linear equation, where the ratio of change is the slope of the line.
Now, we know that [tex]x[/tex] represents students and [tex]y[/tex] represents the total cost.
The problem states that for 25 students, the total cost is $132.50. And for 30 students, the total cost is $145. This information represents two points
[tex](25,132.50)[/tex] and [tex](30,145)[/tex].
So, to find the equation, we first have to find the slope using these two point and the following formula
[tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} } =\frac{145-132.50}{30-25}=\frac{12.5}{5}=2.5[/tex]
This means the slope is 2.5
Now we use the point-slope formula to find the linear equation
[tex]y-y_{1} =m(x-x_{1} )\\y-145=2.5(x-30)\\y=2.5x-75+145\\y=2.5x+70[/tex]
Therefore, the equation that models this problem is
[tex]y=2.5x+70[/tex]
Where the flat fee is $70, and the fee per student is $2.5.
1. use the zero product property to solve the equation. (x-9)(x-8)=0
Answers
x=9
x-8=0
x=8
Thus the answer is x=9, x=8
Answer:
X= 8 or 9
Step-by-step explanation:
Bob ate 10 carrots and 7 hershey's kisses and the total calories were 263. fred ate 4 carrots and 8 hershey's kisses and the total calories were 230. how many calories are in a carrot and a hershey's kiss? (the answer is not a scientific truth, only made up numbers!!!)
Answers
let c the calories in carrot
let h the calories in hershey's kisses
4c + 8h = 230 eq 1
10 c + 7 h = 263 eq 2
to solve the solution we multiply eq 1 by 10
we multiply eq 2 by 4
40 c + 80 h = 2300
40c + 28 h = 1052
we subtract the two equations we get
52 h = 1248
h= 24
and so in replacing h = 24 in the equation we get c = 9.5