Using a compass and a straightedge, a student constructed a triangle in which XY is one of the sides.

Using A Compass And A Straightedge, A Student Constructed A Triangle In Which XY Is One Of The Sides.

Answers

Answer 1

The length of the compass so that ΔXYZ is isosceles and not equilateral could be;

Option C; between ¹/₂XY and XY

Option E; greater than XY

We are told that;

Student has drawn a line XY

Now the student opened the compass with a set length to draw two intersecting arcs with X and Y as centers.

Now, for these two arcs to meet, the compass has to be opened to a length that is more than half of segment XY.

Secondly, since the triangle is not equilateral, it means the compass cannot be opened to length AB.

The next step would be t open the compass to a length slightly bigger or slightly smaller than AB.

Finally, the options that apply are Options C and E.

Read more about construction of Isosceles triangles at; https://brainly.com/question/2520169


Related Questions

Student Council sponsors weekly dances at their school on Friday nights. The admission price for each person is $4 for Student Council members. Members pay an annual fee of $50 for membership dues.

A. Write a function that can be used to determine c, the total cost, for a member to attend n, number of dances a year.

B. How much will a member pay if they attend 15 dances during the school year.

1. Summarize the given situation in your own words. (What do you notice?)

2. Explain: What is the essential information you can use to find the solution?

3. Find the Solutions to parts A and B above. Show your thinking in the space below.

Answers

The total cost during a school year to attend a given number of daces is a

linear function of the number of dances attended.

The correct responses are;

Part A; The function for the total cost is; c = 50 + 4·nPart B; The total cost for attending 15 dances is; c = $1101. The initial cost is $50 and the rate is $42. The annual fee, the admission price, and the number of dances attended3. The solution are: Part A; c = 50 + 4·n, Part B; c = $110

Reasons:

The given parameter are;

Admission price per person = $4

The annual fees members pay = $50

A. The function that can be used to determine c is a linear function, with a y-intercept (initial value) of 50 and a rate (slope) of 4

The total cost to attend n dances a year, c = 50 + 4·n

B. If a member attends 15 dances a year, we have;

n = 15

Therefore;

The total cost, c = 50 + 4 × 15 = 110

The total cost for 15 dances a year, c = $110

1. As the number of dances attended increase, the total cost increase, and the cost when no dance is attended by a member during the year is $50.

2. The essential information that can be used to find the solution are;

The admission price for each person.The annual fee for membership dues.The number of dances a member attends in a year.

3. Part A; c = 50 + 4·n

Part B; c = $110

Learn more about linear functions here:

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Find the gradient of the line segment between the points (3,-2) and (5,-5). Give your answer in its simplest form.

Answers

Answer:

2/7

Step-by-step explanation:

gradient y²-y¹/x²-x¹=4-2/4-(-3)

=2/7

{Taking (x¹,y,¹)=(-3,2)

and(x²-y²)=(4,4)

What is the value of k?

Answers

Answer:

k = 10

Step-by-step explanation:

the sum of any two interior angles is equal to the exterior angle of the unknown interior angle

4k+5 + 6k+10 = 115

10k + 15 = 115

10k = 100

k = 10

A teacher assigns 10 questions for homework and wants to randomly pick 3 questions to be graded. Which of the following procedures would produce a simple random sample?

Assign the homework questions the numbers 1–10. Use a random number table to select the first three numbers between 1 and 10. These represent the questions that will be graded.
Assign the homework questions the numbers 0 to 9. Use a random number table to select the first three numbers between 0 and 9. These represent the questions that will be graded.
Assign the homework questions the numbers 01–10. Use a random number table to select the first three 2-digit numbers between 01 and 10. These represent the questions that will be graded.
Assign the homework questions the numbers 0–9. Use a random number table to select the first three unique numbers between 0 and 9. These represent the questions that will be graded.

Answers

Answer:

Assign the homework questions the numbers 0–9. Use a random number table to select the first three unique numbers between 0 and 9. These represent the questions that will be graded.

Step-by-step explanation:

Assign the homework questions the numbers 0 to 9. Use a random number table to select the first three numbers between 0 and 9. These represent the questions that will be graded.

How to Assign Random Numbers?

We are told that a teacher assigned 10 questions for homework and would like to randomly pick 3 questions to be graded. Now, this simply has to follow the correct procedure of random selection.

The procedure that the teacher should follow is as follows;

Assign the homework questions the numbers 0–9. Use a random number table to select the first three unique numbers between 0 and 9. These represent the questions that will be graded.

Read more about Random Numbers at; https://brainly.com/question/251701

#SPJ2

1308 evaluated khan academy

Answers

Answer: what? What’s the question?

whats 1 + 1

ahsdugiywayhdyhawdwahdwahidwadad

Answers

2 or 11 or window or whatever

Answer:

11

Step-by-step explanation:

It's clearly 11

1 + 1 = 11

just put the 2 numbers together

Find the area of each figure

Answers

Answer:

17.5

Step-by-step explanation:

7*5/2

Answer ~ 17.5
Explanation ~
B•h/2
5•7=35
35/2=17.5
:)

How do you add 11/11 + 23/45? And what is the answer? Explain how you got that answer

Answers

Answer:

90

Step-by-step explanation:

first you do 11 + 11 =22

23+45=68

now im postitive you add 68 and 22 and get you final answer which is ...

90

Answer:

1 23/45

Step-by-step explanation:

Start by multiplying numerators and denominators to get the LCD in all fraction denominators

=11×45/11×45+23×11/45×11

Then rewriting the equation with the equivalent fractions

=495/495+253/495

With like denominators we can operate on just the numerators

=495+253/495

=748/495

Simplifying the answer

=68/45

=68/45

=1 23/45

You are running a concession stand at a basketball game. You are selling hot dogs and sodas. Each hot dog costs $2.25 and each soda costs $1.50. At the end of the night you made a total of $225.75. You sold a total of 126 hot dogs and sodas combined. You must report the number of hot dogs sold and the number of sodas sold. What equations did you use to solve this? How many hot dogs were sold and how many sodas were sold?

Answers

Answer:

49 hot dogs, 77 sodas

Step-by-step explanation:

2.25h + 1.5s = 225.75

h + s = 126, so s = 126 - h. Substitute that into the first equation.

2.25h + 1.5(126 - h) = 225.75

Solve for h

2.25h + 189 - 1.5h = 225.75

0.75h = 36.75

h = 49  So they sold 49 hot dogs

h + s = 126, so 49 + s = 126, s = 77

Jenny wants to build a concrete patio that will be 8 meters by 11 meters

Answers

Answer:Cost = $352Step-by-step explanation:Area = 8 x 11=> Area = 88 m²=> Cost = 88 x 4=> Cost = $352Conclusion:

Therefore, the total cost of the patio is $352.

Hoped this helped!

[tex]BrainiacUser1357[/tex]

find the zeros of each function. State the multiplicity of multiple zeros y=2x^3+x^2-x

Answers

Answer:

Step-by-step explanation:

To find the roots/zeros, set

2

x

3

+

x

2

x

equal to

0

and solve.

2

x

3

+

x

2

x

=

0

Factor the left side of the equation.

Tap for more steps...

x

(

2

x

1

)

(

x

+

1

)

=

0

If any individual factor on the left side of the equation is equal to

0

, the entire expression will be equal to

0

.

x

=

0

2

x

1

=

0

x

+

1

=

0

Set the first factor equal to

0

.

x

=

0

Set the next factor equal to

0

and solve.

Tap for more steps...

x

=

1

2

Set the next factor equal to

0

and solve.

Tap for more steps...

x

=

1

The final solution is all the values that make

x

(

2

x

1

)

(

x

+

1

)

=

0

true. The multiplicity of a root is the number of times the root appears.

x

=

0

(Multiplicity of

1

)

x

=

1

2

(Multiplicity of

1

)

x

=

1

(Multiplicity of

1

)

Answer:

  -1, 0, 1/2

Step-by-step explanation:

The function can be factored as ...

  y = x(2x^2 +x -1)

  y = x(2x -1)(x +1)

The factors are unique, so each zero has multiplicity 1. The zeros are the values of x that make the factors zero:

  -1, 0, 1/2 . . . . zeros of the function; each with multiplicity 1

____________ system is a system where each transaction is entered twice, once on the debit side and once on the credit side. *
Options -
Single entry
Double entry

Answers

Answer:

Double-entry bookkeeping,in accounting, is a system of bookkeeping where every entry to an account requires a corresponding and opposite entry to a different account. The double-entry system has two equal and corresponding sides known as debit and credit.

Step-by-step explanation:P I E C K_______

The perimeter of the figure below is 41.6 in.
Find the length of the missing side.

Answers

Answer:

the answer is 5.9 since both sides are the same and on the other side its 5.9

Hope This Helps!!!

The answer is 5.7 because when you add sides up you get a sum of 35.9 then you subtract that from 41.6

#6 Solve the inequality.
6w <-42

Answers

Answer:

w < -7

Step-by-step explanation:

Do -42 divided by 6 and keep the sign the same.

You get w < -7.

Hope this helps! :)

Find the value of X and prove the following​

Answers

The value of the variable x can be determined using the circle theorem to

determine the angle formed by x.

The correct responses are;

(1) x = 30°(2) x = 100°(3) x = 60°

Reasons:

(1) From circle theorem, we have;

Equal chords subtends equal arcs and vice versaEqual chords subtend equal angles at the center of a circle

Therefore;

Angle subtended by [tex]\displaystyle \widehat {AB}[/tex] at center = Angle subtended by [tex]\widehat {BC}[/tex] at the center;

Angle at the center = 2 × Angle at the circumference

Therefore;

Angle subtended by [tex]\displaystyle \widehat {AB}[/tex] at the circumference = Angle subtended by [tex]\mathbf{\widehat {BC}}[/tex] at the circumference

Which gives;

x = 30°

(2) [tex]\displaystyle \widehat {AB} = \mathbf{\widehat {CD}}[/tex] given

Angle subtended by arc [tex]\widehat {CD}[/tex] at the center = x

Equal arcs subtend equal angles at the center of a circle.

Therefore;

Angle subtended by arc [tex]\mathbf{\widehat {AB}}[/tex] at the center = x

Angle at center = 2 × angle at circumference

Therefore;

x = 2 × 50° = 100°

x = 100°

(3) [tex]\displaystyle \widehat {AC} = \mathbf{ 3 \times \widehat {AB}}[/tex] given

By definition, we have;

Angle subtended by [tex]\widehat {AC}[/tex] at the center = 3 × Angle subtended by [tex]\widehat {AB}[/tex] at the center

According to circle theorem, we have;

Angle at the center = 2 × Angle at the circumference

Let y represent the angle subtended at the circumference by [tex]\widehat {AB}[/tex], we have;

y = 20°

[tex]\widehat {AB}[/tex] = 2·y

[tex]\widehat {AC}[/tex] = 3 × [tex]\widehat {AB}[/tex] = 3 × 2·y = 6·y

Therefore;

[tex]\widehat {AC}[/tex] = 6 × 20° = 120°

[tex]\widehat {AC}[/tex] = 120°

[tex]\widehat {AC}[/tex] = 2·x

Therefore;

2·x = 120°

[tex]\displaystyle x = \frac{120^{\circ}}{2} = \mathbf{ 60^{\circ}}[/tex]

x = 60°

Learn more circle theorems here:

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Easy question, Worth 80 points, PLEASE HELP!! What are the angles and the side measurements for this triangle?

Answers

Answer:

the angles are 89.2°, 34.5°, 56.3° and the sides are √26units, √8units, √18units respectively

Step-by-step explanation:

Distance between points (2,5) and (-1,2)

Using the formula, √(X2 - X1)² + (Y2 - Y1)²

= √(-1-2)²+(2-5)²

=√(-3)²+(-3)²

=√9+9

=√18 or 3√2

Distance between points (-1,2) and (4,3)

=√[4-(-1)]²+(3-2)²

= √5²+1²

=√25+1

=√26

Distance between points (2,5) and (4,3)

=√(4-2)²+(3-5)²

=√2²+(-2)²

=√4+4

=√8

Using Cosine rule/formula, C²= A²+B²-2abcosc

Let C be √18, A be √26 and B be √8

√18²=√26²+√8² - 2√26.√8cosc

18= 26+8 - 2√208cosc

18= 34 -2√208cosc

2√208cosc= 34-18

Cosc = 16/2√208

Cosc= 0.5546

c= Cos`¹(0.5547)

c= 56.3°

Using sine rule/formula

Sinc/C= Sina/A=Sinb/B

Sin56.3/√18= Sina/√26

Sina= (0.8320 × √26)/ √18

Sina= 0.9999

a= Sin`¹(0.9999)

a= 89.2

56.3+89.2+b= 180°( sum of angles in a triangle)

145.5 + b =180

b=180-145.5

b= 34.5

Can someone please help me with this

Answers

Step-by-step explanation:

when 2 lines cross, the angles on one side of one of these lines are mirrored to the other side.

and crossing a second, parallel line creates exactly the same angles there too, because crossing the second line is like crossing the first line. otherwise the 2 lines are not parallel. the second line is just a shifted version of the first line (and vice versa). all the other attributes are the same.

and all angles around a single point on one side of a line are together 180°.

because of all that,

angle 2 = angle 3 = angle 6 = angle 7 = 76°

angle 1 = angle 4 = angle 5 = angle 8 = 180-76 = 104°

Find the area of the shape shown below.

Answers

Answer:

14 sq units

Step-by-step explanation:

square - 4

triangle - 4

secong triangle - 6

4+4+6 = 14 sq units

Answer:

A = 10 sq. units

Step-by-step explanation:

Area of a trapezium is the average of the bases times the height.

Base 1 is 8 units

Base 2 is two units

Average is (8 + 2)/2 = 5 units

A = 5(2) = 10 sq. units

A local flower shop advertises that 4 out of every 5 flower seeds will grow. If Janie plants 40 of these flower seeds in her garden, how many seeds can she expect to grow?

Answers

32 seeds
4:5 ratio
4x2 | 5x2
8:10
40/10 = 4
8 x 4

The graph shows a proportional relationship between the number of books sold at a yard sale and the amount of money collected from book sales.

Book Sales Revenue






What is the constant of proportionality?
0.67
1
1.5
2

Answers

Answer:

1.5

Step-by-step explanation:

6/4

Answer:

it's C. 1.5

Step-by-step explanation:

I did the test

Multiply. Enter your answer as a simplified mixed number. -4(3/14) ​

Answers

Answer:

-53 /14

Step-by-step explanation:

Triangle CDE is similar to triangle FGH. Find the measure of side GH. Round your
answer to the nearest tenth if necessary.
E
H
11.4
D
7
F
G
31

Answers

The measure of side GH is 50.486 units.

Two triangles are similar if they share the same set of internal angles, that is, the following conditions are met:

[tex]\angle C \cong \angle F[/tex] (1)

[tex]\angle E \cong \angle H[/tex] (2)

[tex]\angle D \cong \angle G[/tex] (3)

Then, we can determine the length of the line segment [tex]GH[/tex] by the following relationship:

[tex]\frac{CD}{FG} = \frac{DE}{GH}[/tex] (4)

If we know that [tex]CD = 7[/tex], [tex]FG = 31[/tex] and [tex]DE = 11.4[/tex], then the value of the line segment [tex]GH[/tex] is:

[tex]GH = \frac{FG\cdot DE}{CD}[/tex]

[tex]GH = \frac{31\cdot 11.4}{7}[/tex]

[tex]GH = 50.486[/tex]

The measure of side GH is 50.486 units.

To learn more on similar triangles, we kindly invite to check this verified question: https://brainly.com/question/25882965

Solve the inequality T > l+d/B for D

Answers

Answer:

Second option = TB - L > D

Step-by-step explanation:

[Given] T > [tex]\frac{L +D}{B}[/tex]

[Multiply both sides by B] TB > L + D

[Subtract L from both sides] TB - L > D

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Which equation could be solved using this application of the quadratic formula? A. -2x2 â’ 8 = 10x â’ 3 B. 3x2 â’ 8x â’ 10 = 4 C. 3x2 8x â’ 10 = -8 D. -2x2 8x â’ 3 = 4.

Answers

The given question can be solve using quadratic formula.

The correct option is (c) [tex]3x^2 +8x -10=-8[/tex].

Given:

The given equation is,

[tex]x=\dfrac{-8\pm\sqrt{8^2-4(3)(-1)}} {2(3)}[/tex]---------------------------(1)

Write the general quadratic equation.

[tex]ax^2 + bx +c=0[/tex]

Write the quadratic formula.

[tex]x =\dfrac {-b \pm \sqrt{(b^2 - 4ac)} } {2a}[/tex]------------------------------- (2)

Compare equation (1) and (2).

[tex]a=3\\b=8\\c=-2[/tex]

Substitute the value of [tex]a[/tex], [tex]b[/tex] and [tex]c[/tex] in general quadratic.

[tex]3x^2 +8x -2=0[/tex]

Subtract [tex]8[/tex] from each side of above equation.

[tex]3x^2 +8x -2 -8=0-8\\3x^2 +8x -10=-8[/tex]

Thus, the correct option is (c) [tex]3x^2 +8x -10=-8[/tex].

Learn more about quadratic equation here:

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Can someone help please !

Answers

Answer:

2

Step-by-step explanation:

[tex]16^{\frac{1}{4} }[/tex] can be rewritten as [tex]\sqrt[4]{16}[/tex].

Solve for the 4th root of 16.

16=4*4=(2*2)(2*2)=2

2

just trust me please

A swimming pool already contains
a small amount of water when you start filling it at a
constant rate. The pool contains 45 gallons of water after
5 minutes and 120 gallons after 30 minutes. Find the
average rate of change and use it to write a linear model
that relates the amount of water in the pool to the time.

Answers

Answer:

Rate of change = 3 gallons/minute

Starting volume = 30 gallons

Step-by-step explanation:

A graph of the pool's water level would be useful.  The slope of the line would represent the rate of change for filling the pool.  It will also help us determine the amount of water that was in the pool to start.  Although it is tempting to say the rate of fill is 45gallons/5 minutes, or 9 gallons/minute, it is not correct.  The pool already started with an unknown volume of water.  The rate of change after 5 minutes, however, can be used.  The problem states it is being added at a constant rate.  Let's find an equation for a line, in the format of y=mx+b, where m is the slope (rate of change) and b is the y-intercept.

We'll let y represent the volume of water in the pool, and x will be the time in minutes.  The y-intercept will give us the amount of water in the pool at the start (x = 0).

The slope can be determined between the two given points:

(5,45) and (30,120):

Slope = Rise/Run [The change in y divided by the change in x].

Rise = (120 - 45) = 75

Run = (30-5) = 25

Slope = 75/25 or 3

The line, so far, becomes y=3x + b

The slope of 3 has units of gallons/minute.  It is the rate at which the pool is being filled.

We can find b, the starting volume of water, by using one of the two points in the equation and solving for b:

y=3x + b   [I'll use (5,45)]

45 = 3*(5) + b

b = 30 gallons

The pool had 30 gallons to start (at x = 0(minutes))

See the graph of the line, attached.

f(a)=2a+5
g(a)=a2-4
what is f(g(a))

Answers

f(g(a)) = f(-2(7)) because f(a)=7 and f(g)=-2

STUDY TIP 1

Don't do all your studying the night before. Instead spread it out, review class materials several times a week, and focus on one topic at a time.

FOLLOW FOR MORE TIPS !!!

Answers

Answer:

THANK U!

FOR THE TIP.

HAVE A GREAT DAY!

The amount of green jelly beans in a bag is 25%. If there are 12 green jelly beans, how many total
jelly beans are in the bag?

Answers

Answer:

48

Step-by-step explanation:

25% is 1/4 of the bag. 12x4 = 48.

There are 48 jelly beans in the bag.

Hope that helps

Answer:

The answer is 48.

Step-by-step explanation:

25%= times by 4.

So.. 12 times 4 = 48.

Hope that helps. x

B. {(15,0),(15,-2)}
Function?
Domain:
Range

Answers

Answers:

Function? No, it's not a functionDomain:  {15}Range: {0, -2}

===============================================

Explanation:

The domain consists of the set of x coordinates of each point. In this case, we only have one x value listed. The domain is {15}. Use curly braces even if there's only one item. This tells the reader we have a set.

The range is {0,-2} to indicate the y coordinates of the two points.

We don't have a function because x = 15 repeats itself. The input x = 15 leads to multiple outputs at the same time, which isn't allowed if you want a function. You can use the vertical line test as a visual way to see that we don't have a function.

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