This diagram is a straightedge and compass construction.
S
Select all the true statements.
A) Triangle STU is isosceles.
B) Triangle STU is equilateral.
C) Each side of triangle STU is composed of two radii that have the same
length.
D) In triangle STU, two sides are radii of circle T but the third side, segment
SU, is not a radius of any circle shown in the diagram.
☐E) Triangle VWZ is equilateral.
OF) Each side of triangle VWZ is composed of two radii that have the same
length.

This Diagram Is A Straightedge And Compass Construction.SSelect All The True Statements.A) Triangle STU

Answers

Answer 1

The true statements are: (A), (D), (E) and (F).

Statement A is true. A triangle is said to be isosceles if its two sides are of equal length. Considering the triangle STU, the sides ST and TU are the radius of the same circle centered at T and hence of same length. So triangle STU is isosceles.

Statement B is false. In triangle STU, ST and TU being radii of circle T, are equal. But the third side SU is not a radius of any circle in the diagram and so not equal to ST and TU. Since three sides are not of same length, triangle STU is not an equilateral triangle.

Statement C is false. In Triangle STU two sides are composed of a single radii and not of two radii. The third side is not composed of radii.

Statement D is true. In triangle STU, two sides are radii of circle T but the third side, segment SU, is not a radius of any circle shown in the diagram.

Statement E is true. In triangle VWZ, each side is composed of 2 radii which are of same length. Hence three sides are equal and so it is an equilateral triangle.

Statement F is true. Each side of triangle VWZ is composed of two radii that have the same length.

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Related Questions

what are the blocked words?

Answers

Please help me with my question uhhh

Answer:

In the order they appear in the paragraph: different, measurement, coversions, world.

Step-by-step explanation:

"Convert among different-sized standard measurement units within a given measurement system (e.g., convert 5 cm to 0.05 m), and use these conversions in solving multi-step, real world problems."

The paragraph would not make sense if the words were in incorrect places.

what is the radical expression that is equivalent 27 ⅕?

Answers

Answer:

  [tex]\sqrt[5]{27}[/tex]

Step-by-step explanation:

27^(1/5) = [tex]\sqrt[5]{27}[/tex]


How do you know the value of x is positive?

Answers

It depends on the answer and the number of y

Which two of the calculations give the same answer?
12 ÷ 3
1.4 +2.6
1.4 x 3
2.1+2.4

Answers

Answer:

A and B

Step-by-step explanation:

2/3 of the sum of nine and p

Answers

The resulting expression for 2/3 of the sum of nine and p is 2/3(9+p)

Translating expression to words

According to the question, we are to write the given statement as an expression

Let the unknown variable be p such that the sum of nine and p is 9 + p

Since "of" means multiplication, hence;

2/3 of the sum of nine and p will be expressed as;

2/3 of (9 + p)

2/3 * (9 + p)

2/3(9+p)

Hence the resulting expression for 2/3 of the sum of nine and p is 2/3(9+p)

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What is the coefficient of the term of degree 1 in the polynomial 2x^8-5^2+3x+4

Answers

Answer:nk it is the letter A

Step-by-step explanation:

i need help with this question

Answers

Answer:

x = 1  and x = -3

Step-by-step explanation:

if y = f(x) and f(x) = -5, this means y = -5

draw a horizontal line at y = -5 and see write the x values for where the line intersects with the graph.

The x values are:

x = 1  and x = -3

Which of the following statements must be true based on the diagram below? Select all that apply. (Diagram is not to scale.)

Answers

Line segment VW is the segment bisector is true based on the diagram

as it is showed in the diagram that the line segment vw divides segment TU in two equal parts so line segment VW is segment bisector

line segment VW cannot be a perpendicular bisector because it is not mentioned that Line segment VW divides side TU at right angle that is at 90°

line segment VW cannot be a angle bisector because Line segment VW does not lie on any angle

v is not the vertex of pair of congruent angles and w is not the vertex at the right angle

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»
What number is equivalent to
32 +6 (14-5×2) ÷ 4
A 23/1
B 10/
C 14
D 15

Answers

The result of the given equation is 14.

This is an problem of simplification. And for simplification we need to understand the rule of BODMAS.

BODMAS means we have to first solve B for bracket, O for of, D for divide, M for multiplication, A for addition and S for subtraction.

The rule of BODMAS has to  be followed in order to solve any equation in simplification method.

Here the problem is;

  32+6(14-5×2)÷4

⇒32+6(14-10)÷4

⇒32+6(4)÷4

⇒32+24÷4

⇒56÷4

⇒14

So, the solution of the given equation gives 14 as the answer.

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What is the correct answer

Answers

Answer: distance is the answer

What is the product of 1.6 × 10³ and 2.9 × 10³ expressed in scientific notation?​

Answers

1.6 x 10³ = 1600
2.9 x 10³ = 2900

1600 x 2900 = 4,640,000 = 4.64 x 10^6

Answer:

4.64x10^6

Step-by-step explanation:

HELP ME ASAP FOR MATHS

Answers

Answer:5 higher and 1 horizontal

Step-by-step explanation:

Kiara is covering part of this rectangular box with duct tape. she is covering the four sides but not the top or bottom. 4 in. 4 in. 20 in. what is the total area that kiara will cover with duct tape? show your work.

Answers

160 square inches duct tape is needed to cover.

The mentioned box is rectangular according to the question and Kiara have to cover top and the bottom part with this duct tape .

Thus we have to find the area of the box , where 4 inch is the width of this box and 20 in. is the length . To find the area we will use the formula , (Area = length × width)

∵ The area is , ( 4 × 20 ) square inches = 80 square inches

for the  top part it is 80 inc² and for the bottom it's again 80 inch² , so she have to cover total ( 80+ 80) inc² = 160 in.²

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160 square inches duct tape is needed to cover.

The mentioned box is rectangular according to the question and Kiara have to cover top and the bottom part with this duct tape .

Thus we have to find the area of the box , where 4 inch is the width of this box and 20 in. is the length . To find the area we will use the formula , (Area = length × width)

∵ The area is , ( 4 × 20 ) square inches = 80 square inches

for the top part it is 80 inc² and for the bottom it's again 80 inch² , so she have to cover total ( 80+ 80) inc² = 160 in.²

160 square inches duct tape is needed to cover.

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Suppose a/b c/d and e/f represent three rational numbers. If a/b is less than c/d and c/d is less then e/f compare a/b and e/f explain

Answers

We get that a / b will also be less than e / f.

A rational number means a number that can be written in the form of p / q.

We are given the three rational numbers:

a / b , c / d and e / f.

We are also given that:

a / b < c / d  …(1)

c / d < e / f    …(2)

Multiply (1) and (2), we get that:

a / b × c / d < c / d × e / f

Dividing both sides by d / c, we get that:

a / b < e / f

So, a / b will also be less than e / f.

Therefore, we get that a / b will also be less than e / f.

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A cyclist rode at an average speed of 15 mph for 30 miles. how long was the ride? 0.5 hours 0.5 hours 1 hour 1 hour 2 hours 2 hours 3 hours

Answers

Answer:

2 hours

Step-by-step explanation:

Answer:  2 hours

Step-by-step explanation:

using the relationship distance = speed × time, the time   = 2 hours

Simplify -|3-5|² + 4 • 3²

Answers

Answer:

32.

Step-by-step explanation:

-|3-5|² + 4 • 3²

= - 2^2 + 4*9

= -4 + 36

= 32.

Answer:

32

Step-by-step explanation:

Subtract

5

from

3

.

|

2

|

2

+

4

3

2

The absolute value is the distance between a number and zero. The distance between

2

and

0

is

2

.

2

2

+

4

3

2

Raise

2

to the power of

2

.

1

4

+

4

⋅[tex]3^{2}[/tex]

Multiply

1

by

4

.

4

+

4

3

2

Raise

3

to the power of

2

.

4

+

4

9

Multiply

4

by

9

.

4

+

36

Add

4

and

36

.

32

The MyTunes song app sells music downloads. Over the past few years, the service
has lowered its prices. The table shows the price per song and the number of songs
downloaded per day at that price.
Price per
Song
$0.89
$0.79
$0.69
$0.59
$0.49
$0.39
Number of Downloads (in
thousands)
1,212
1,704
1,760
1,877
1,944
2,011
The approximate number of downloads at a price of $0.54 per song is ______

Answers

The approximate number of downloads at a price of $0.54 per song is 1910.5

As the problem given we have The table shows the price per song and the number of songs downloaded per day at that Price per Song.

Price per song                                        number of songs

                                                                downloaded per day at that price

$0.89                                                         1,212

$0.79                                                          1704

$0.69                                                          1760

$0.59                                                          1877

$0.49                                                          1944

$0.39                                                          2011  

The formula for the linear interpolation process y = y1 + ((x – x1) / (x2 – x1)) * (y2 – y1), where x is the known value, y is the unknown value. x1 and y1 are the coordinates that are below the known x value, and x2 and y2 are the coordinates that are above the x value.

here x1= 0.49  y1= 1944    x2= 0.59   y2=1877 x=0.54

y=1944+((0.54-0.49)/(0.59-0.49))*(1877-1944)

y=1944-33.5=1910.5

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Describe three different ways you can determine that an angle is a right angle.

Answers

The three different ways you can determine that an angle is a right angle are as follows:

B) You can determine whether an angle is right if it is marked with a right angle symbol.

D) You can determine whether an angle is right if the angle is a vertical pair with a right angle.

E) You can determine whether an angle is right if the angle forms a linear pair with a right angle.

What is a right angle?

A right angle can be defined as a type of angle that is formed by the intersection of two (2) straight lines at 90 degrees. This ultimately implies that, a right angle has a measure of 90 degrees.

In conclusion, we can reasonably infer and logically deduce that all right angles are marked with a right angle symbol and they are formed as a linear pair.

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Complete Question:

Describe three different ways you can determine that an angle is a right angle.

A) You can determine whether an angle is right if the angle is congruent to the complement of the angle.

B) You can determine whether an angle is right if it is marked with a right angle symbol.

C) You can determine whether an angle is right if it is formed by two lines that appear to be perpendicular.

D) You can determine whether an angle is right if the angle is a vertical pair with a right angle.

E) You can determine whether an angle is right if the angle forms a linear pair with a right angle.

Which of these number sentences are true?

A) 12.02 < 6.54 x 10^2
B) 12.02 > 6.54 x 10^2

Answers

The 12.04< [tex]6.54 * 10^2[/tex] number sentences are true.

Option (A) is correct.

What is integer?

An integer is a whole number (not a fractional number) that can be positive, negative, or zero. Zero is not a fraction or decimal of any number. It is neither positive nor negative.

Given:

The given number is

12.02 and [tex]6.54*10^2[/tex]

We have to choose the sentences are true.

According to given question we have

The greater-than sign is a mathematical symbol that denotes an inequality between two values.

6.54 x 10^2

When we can multiply the value of 6.54*100 we get

654

The number is greater than 12.02

i.e  654>12.04

It is written as

12.04< [tex]6.54 * 10^2[/tex]

Therefore, the 12.04< [tex]6.54 * 10^2[/tex] number sentences are true.

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To find the x-intercept from an equation, you substitute ___ for the variable ___

and solve for ___

.

To find the y-intercept from an equation, you substitute ___ for the variable __

and solve for ___

.

Answers

To find the x-intercept from an equation, you substitute 0 for the variable y

and solve for x

To find the y-intercept from an equation, you substitute 0 for the variable x

and solve for y.

How to find x-intercept and y-intercept in an equation?

The x-intercept is where a line crosses the x-axis.

In other words, the x-intercept is the value of the x coordinate of a point where the value of y coordinate is equal to zero.

The y-intercept is the point where the line crosses the y-axis.

In other words, the y-intercept is the value of the y coordinate of a point where the value of x coordinate is equal to zero.

Hence,

To find the x-intercept from an equation, you substitute 0 for the variable y

and solve for x

To find the y-intercept from an equation, you substitute 0 for the variable x

and solve for y.

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Suppose that both of the events you have just analyzed are partly responsible for the increase in the price of pizzas. Based on your analysis of the explanations offered by the two groups of students, how would you figure out which of the possible causes was the dominant cause of the increase in the price of pizzas?.

Answers

The supply curve swings left along the demand curve, raising the price of the pizza shops to close. If individuals just have a greater interest in beer, the demand curve will shift to the right, which will cause the price to rise as the supply curve is moved to the right. Apply this knowledge to the rest of the analysis.

If the price increase was modest, then the movement in supply in the pizza market must have outweighed the shift in demand. The supply shift in the pizza market must have been greater than the demand shift if the equilibrium amount of pizzas declines. The price of pizzas must have changed as a result of whichever modification happened first. If the amount of pizzas in the equilibrium market falls, the demand shift must have been greater than the supply shift.

The demand curve changes to its proper position. It happens as a result of people switching to eating pizza instead of pizzas. The new equilibrium price rises as a result of the new demand curve and the existing supply curve.

A rise in supply and a decline in demand will result in a decrease in the equilibrium price, but the impact on the equilibrium quantity cannot be predicted. Consumers now place less significance on price for any quantity, and producers are willing to simply accept a lower price; as a result, the price will decrease.

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Pre-Calc: Perform the operation and write the result in standard form. (Simplify completely)

Answers

[tex]\left( \sqrt{-27} \right)^2\implies \left(\sqrt{(-1)(27)} \right)^2\implies \left( \sqrt{-1}\cdot \sqrt{27} \right)^2\implies \left( \sqrt{-1} \right)^2 \left( \sqrt{27} \right)^2 \\\\\\ i^2\cdot 27\implies -1\cdot 27\implies -27[/tex]

Consider the pair of points below.
(-5, -4)
(-1,8)
Find the slope of the line passing through the pair of points.
m =

Answers

m=3
The formula to help you is

Amy studied 3- hours for her Biology test. She studied half as long for her math test as she did for her biology test. How long did she study for her math test?

Answers

Answer:

90 minutes or 1 hour and 30 minutes

Step-by-step explanation:

Hey there!

In order to find out how long Amy studied for her math test, all we need to do is divide 3 hours by 2

First of all, we can convert 3 hours to 180 minutes since there are 60 minutes in 1 hour

Now, we divide 180 and 2

180/2 is 90

This means, Amy studied 90 minutes or 1 hour and 30 minutes for her math test

Let the graph of g be a translation 4 units left followed by a horizontal shrink by a factor of 1/3 of the graph of f(x)=x²+x. Write a rule for g

Answers

The transformed function is:

g(x) =  (3*(x + 4))² +  (3*(x + 4))

How to write the transformed function?

Here we have the function:

f(x) = x² + x

Now we want to apply a translation of 4 units to the left, followed by a horizontal shrink by a factor of 1/3.

First, the translation is written as:

g(x) = f(x + 4)

Now the shink will give:

g(x) = f( 3*(x + 4))

Replacing the actual function we will get:

g(x) =  (3*(x + 4))² +  (3*(x + 4))

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How much of the daily value must a snack meet in order for the fda to consider it a ""good source"" of nutrients? 10 percent to 19 percent 10 percent to 19 percent 25 percent to 35 percent 25 percent to 35 percent 30 percent to 40 percent 30 percent to 40 percent 50 percent to 59 percent

Answers

10 percent to 19 percent of daily value must a snack meet in order for the FDA to consider it a ""good source"" of nutrients.

The Food Manufacturer or Distributor is responsible for ensuring their food product labeling complies with FDA regulations. FDA will not review or approve food labels. If the labels do not comply with FDA requirements, the FDA will consider the product as misbranded and may take regulatory action, including detention.

LMG's Label review service will help you confirm your product labels comply with FDA requirements. We have designed three types of label review services; you can choose the best service which fits your products.

( Food Label Compliance : FDA , Food and Drug administration)

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6. x+1<-3 I need this done tonight I don’t know how to solve this.

Answers

Answer:

x<-4

Step-by-step explanation:

You just subtract the 1 from both sides and the sign stays the same UNLESS you are dividing by a negative number, then it will change. Good luck on your hw :)

In the figure, m/3= (3x+15)° and mZ8= (x+100)°. Find the value of x. Then calculate the measure of Z4.​

Answers

Value of x = 42.5 ° and measure of angle 4 = 37.5 ° .

measure of angle 3 = measure of angle 8

( 3 x + 15 ) ° = ( x + 100 ) °

2 x = 85

x = 42.5 °

measure of angle 3 + measure of angle 4 = 180 °

measure of angle 3 = ( 3 x + 15 ) °

                                 = ( 3 * 42.5 ) + 15  

                                  = 142.5 °

Hence , measure of angle 4 = 180 - 142.5 ° = 37.5 ° .

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HII NEED HELP PLEASE! I DON'T UNDERSTAND​

Answers

Answer: f(-2)=3

Step-by-step explanation:

f(-2)=(-2-1)^2+3(-2)

=9-6

=3

This is the only true statement out of the questions.

So the answer would be -2.

5 Complete the table. Rounded to the nearest 10 100 1,000 10,000 100,000 1,000,000 3,147,283 68,547 69,000 1,656,908 900,571​

Answers

The completion of the table by rounding the numbers to the nearest 10, 100, 1,000, 10,000, 100,000, and 1,000,000 is as follows:

Rounded to      Numbers

the nearest       3,147,283     68,547        1,656,908         900,571​

10                      3,147,280     68,550         1,656,910        900,570

100                   3,147,300     68,500        1,656,900        900,600

1,000               3,147,000     69,000        1,657,000         901,000

10,000            3,150,000     70,000        1,660,000        900,000

100,000         3,100,000    100,000        1,700,000        900,000

1,000,000     3,000,000   0.068547     2,000,000     1,000,000

What is a rounding number?

Rounding a number involves, making it simple and very close to its true value, sometimes, using zeros or scientific notations.

Rounding a number is also known as an approximation, which is an estimate before the actual calculation is carried out.

Rounded to      Numbers

the nearest       3,147,283     68,547       1,656,908        900,571​

10                      3,147,280     68,550        1,656,910        900,570

100                   3,147,300     68,500       1,656,900        900,600

1,000               3,147,000     69,000       1,657,000         901,000

10,000            3,150,000     70,000       1,660,000        900,000

100,000         3,100,000    100,000       1,700,000        900,000

1,000,000     3,000,000   0.068547    2,000,000      1,000,000

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