which greek mathematician wrote the most definitive text on geometry, one that is still referred torday.

(A) n=w by the corresponding angles theorem.

(B) This is the correct answer. n=s by the vertical angles theorem and s and x are supplementary by the same-side interior angles theorem. Thus, n and x are supplementary, and are not always equal.

(C) n=z by the alternate exterior angles theorem.

(D) s=w, so (s+w)/2 = (s+s)/2 = s. Since n=s by the vertical angles theorem, n=s.

(E) n and w are equal by the corresponding angles theorem, and w and y are supplementary as they form a linear pair. Thus, n+y=180, and it follows n=180-y.

Answer:

(-5,0)

Step-by-step explanation:

The x intercept is where it crosses the x axis

It crosses the x axis where x = -5

The y value is 0

(-5,0)

Answer:

A  

Step-by-step explanation:

The x -intercept is 'shorthand' for  x - AXIS intercept

  where the graph crosses the x - axis

      this will always have a   ZERO  value for the 'y'- coordinate

looking at the graph this point is   -5,0

answer for b

catch the 9:10 bus from Beasley.

answer for c

10:06

hope this might help u.

Answer:

Answer for B is 9:10 for Beasley and The answer for C is 10:06

Step-by-step explanation:

Answer:

y = 7/25x

Step-by-step explanation:

For a proportional relationship, we have

y ∞ x.

Let k = constant of proportionality = 7/25

Removing the proportionality sign, we have

y = k x

Therefore, the answer is  

y = 7/25x

Instead of y= x + 7/25

So, the error is that x should be multiplied by 7/25 and not added.

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Answer:

-1-5=x-8

or, -1-5+8=x

or, x= -1-5+8

or, x= -6+8

or, x=2

therefore, x=2

Answer:

y = 47

Step-by-step explanation:

All of the angles in a triangle must add up to 180. The angle marked 3y can help us find the missing angle of the triangle: 180-3y
Then you can make an equation to help solve for y:
50 + (2y-3) + (180-3y) = 180
Combine like terms:
227-y=180
y = 47

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \: y=47 \degree[/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

[tex]\qquad \tt \rightarrow \:(2y - 3) + 50 = 3y[/tex]

[tex]\qquad \tt \rightarrow \:2y - 3 + 50 - 3y = 0[/tex]

[tex]\qquad \tt \rightarrow \:2y - 3y + 47 = 0[/tex]

[tex]\qquad \tt \rightarrow \: - y = - 47[/tex]

[tex]\qquad \tt \rightarrow \:y = 47 \degree[/tex]

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

Answer:

distance = 9.4 units

Step-by-step explanation:

* using the distance formula *

d =

[tex] \sqrt{(x2 - x1 )^{2} + (y2 - y1)^{2} } [/tex]

[tex] \sqrt{( - 4 - 4) ^{2} + ( - 2 - 3) ^{2} } [/tex]

= 9.4 units

Answer:

3. Definition of Midpoint

4. VAT, Vertical Angles Theorem

5. ASA, Angle-Side-Angle Theorem

Answer:

Prob Online

Step-by-step explanation:

Can't really think of one

If two lines intersect, then their opposite angles are equal. Then the value of  x is 25°.

The missing graph is given below.

The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.

Vertically opposite angle - When two lines intersect, then their opposite angles are equal.

Then the value of x will be

 75° = (4x - 25)°​

100° = 4x

   x = 25°

Then the value of  x is 25°.

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[tex] \sf{\qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

Let's solve for y and z ~

[tex]\qquad \sf  \dashrightarrow \: z + 61 = 180[/tex]

[ Co- interior angle pair ]

[tex]\qquad \sf  \dashrightarrow \: z = 180 - 61[/tex]

[tex]\qquad \sf  \dashrightarrow \: z = 119 \degree[/tex]

now,

[tex]\qquad \sf  \dashrightarrow \: 5y + 14 = 119[/tex]

[ by Alternate interior angle pair ]

[tex]\qquad \sf  \dashrightarrow \: 5y = 119 - 14[/tex]

[tex]\qquad \sf  \dashrightarrow \: 5y = 105[/tex]

[tex]\qquad \sf  \dashrightarrow \: y = 21 °[/tex]

Answer:

The exponent is 2, so the degree is 2

The correct answer is option D which is p ³+ 2; when p = 3 the number of plants is 29.

The complete question is given below:-

liana cubed the number of flowering plants in her garden, then added 2 vegetable plants. Let p represent the original number of plants in her garden. Which shows an expression to represent the total number of plants in her garden and the total number of plants if p = 3? 3 p minus 2; when p = 3 the number of plants is 7 3 p + 2; when p = 3 the number of plants is 11 p cubed minus 2; when p = 3 the number of plants is 25 p cubed + 2; when p = 3 the number of plants is 29

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

The given expression is liana cubed the number of flowering plants in her garden, then added 2 vegetable plants.

If she cubed the number of the plants will be:- P³

Now she added two vegetable plants:- 2

Then the equation will be: - p³ + 2. Now we will put the value of p = 3 in the equation.

Total number of the plants = ( 3 )³ + 2 = 27 + 2 = 29

Therefore the correct answer is option D which is p³+ 2; when p = 3 the number of plants is 29.

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Answers for different section are given below;

The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

Here, given function;

   f(x) = -x² - 4x + 6

1.    If we take -1 common from the given function, we get

                      f(x) = -1 (x² + 4x - 6)

                      f(x) = -1 (x² + 4x) + 6

      Thus, first block contains -1 and second block contains 4.

2.   Then we add half of the coefficient of x², (b/2)², inside the bracket and subtract it outside a times, a(b/2)².

                 f(x) = -1 ( x² + 2. 2x + 2²) +2² + 6

                 f(x) = -1 ( x² + 4x + 2²) +4 + 6

Thus, first block contains -1, second block contains 4, third block contains 4, and fourth block contains 4.

3. Then we factorize the bracket and simplify outside the bracket;

                 f(x) = -1 (x + 2)² + 10

Thus, first block contains -1, second block contains 2 and third block contains 10.

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The four inequalities that can be used to find the solution of 3 ≤ |x + 2| ≤ 6 is x + 2 ≤ 6, x + 2 ≥ -6, x + 2 ≥ 3 and x + 2 ≤ -3

An equation is an expression that shows the relationship between two or more variables and numbers.

Given the inequality:

3 ≤ |x + 2| ≤ 6

Hence:

x + 2 ≤ 6, -(x + 2) ≤ 6, 3 ≤ x + 2 and 3 ≤ -(x + 2)

This gives:

x + 2 ≤ 6, x + 2 ≥ -6, x + 2 ≥ 3 and x + 2 ≤ -3

The four inequalities that can be used to find the solution of 3 ≤ |x + 2| ≤ 6 is x + 2 ≤ 6, x + 2 ≥ -6, x + 2 ≥ 3 and x + 2 ≤ -3

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The line that passes through (-2, 1) and (8, 2) is:

y = (1/10)*x + 12/10

I assume you want to find the equation of the line that passes through (-2, 1) and (8, 2).

A general linear equation is written as:

y = a*x + b

If the line passes through two points (x₁, y₁) and (x₂, y₂), then the slope can be written as:

[tex]a = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

In this case, we know that it passes through (-2, 1) and (8, 2), then:

[tex]a = \frac{2 - 1}{8 - (-2)} = 1/10[/tex]

Then the line is:

y = (1/10)*x + b

To find the value of b, we use one of the given points, for example if we use (8, 2), it means that when x = 8, we must have y = 2.

2 = (1/10)*8 + b

2 - 8/10  = b

20/10 - 8/10 = b

12/10 = b

Then the linear equation is:

y = (1/10)*x + 12/10

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Answer:

3y⁷ + 2y⁵ - 4y³ + y + 12

Step-by-step explanation:

2y⁵ + y + 3y⁷ - 4y³ + 12

(greatest - least powers)

I hope this helps!

Step-by-step explanation:

eq of a circle is

(x-h)^2+(y-k)^2=r^2

h is 0

k=3

r is 1.5 this is radius of the circle

x^2+(y-3)^2=1.5^2

The equation that represents the relationship between the radius, r, and arc length, s is s = Θ * r

See attachment for the complete question

From the complete question, we have:

The angle is given in radians.

So, the arc length is calculated using

Arc length = Angle * Radius

Substitute known values

s = Θ * r

Hence, the equation that represents the relationship between the radius, r, and arc length, s is s = Θ * r

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Answer:

A

Step-by-step explanation:

On Edge

The correct answer is option A which is A.Bangkok's temperature < Cape Town's temperature < Moscow's temperature.

Inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.

Given that:-

We have the data from the question that the temperature of Bangkok is hotter than cape town.

Bangkok > Cape town

And the temperature of Cape town is hotter than Moscow.

Cape town > Moscow

Now for both the statements, the inequality will be given as:-

Bangkok's temperature < Cape Town's temperature < Moscow's temperature.

Therefore the correct answer is option A which is A.Bangkok's temperature < Cape Town's temperature < Moscow's temperature.

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The measure of angle CED is y. The correct option is the second option-   y, because Triangle ABC is similar to triangle EDC

From the question, we are to determine the measure of angle CED

In the diagram, we can observe that ΔABC is similar to ΔEDC

This is by the Angle-Angle similarity theorem

The theorem states that

If any two angles of a triangle are equal to any two angles of another triangle, then the two triangles are similar to each other

Thus,

Angle CAB = Angle CED

In the diagram,

Angle CAB = y

∴ Angle CED = y

Hence, the measure of angle CED is y. The correct option is the second option-   y, because Triangle ABC is similar to triangle EDC

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Vivian is traveling at 6 Noelle per hour and Noelle is traveling at  x+5 = 11 Noelle per hour.

Speed can be calculated as the ratio of distance traveled to the time taken.

Vivian and Noelle both leave the park at the same time, but in opposite directions, their total distance is the 136

Let Vivian's speed be = x

Let Noelle's speed be = x+5

They each can travel for 8 hours  

so time = 8 hours

Distance = speed × time

136 = x(8) + (x+ 5) 8

136 = 8x + 8x + 40

96 = 16x

x = 6

So, Vivian is traveling at 6 Noelle per hour and Noelle is traveling at  x+5 = 11 Noelle per hour.

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Answer:

B

Step-by-step explanation:

the volume (V) of a sphere is calculated as

V = [tex]\frac{4}{3}[/tex] πr³ ( r is the radius )

here r = 13 , then

V = [tex]\frac{4}{3}[/tex] π × 13³ = [tex]\frac{4}{3}[/tex] π × 2197 = [tex]\frac{4(2197)}{3}[/tex] π = [tex]\frac{8788}{3}[/tex] π units³

The solution is, B.  8788/3 * π units³ is the volume of the sphere shown below.

In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.

here, we have,

the volume (V) of a sphere is calculated as

V = 4/3 πr³ ( r is the radius )

now, we have,

from the given figure, we get,

here r = 13 , then

V =  4/3* π × 13³

= 4/3* π × 2197

= 8788/3 * π units³

Hence, The solution is, B.  8788/3 * π units³ is the volume of the sphere shown below.

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The value of K will be equal to 4 for an expression (5a²b³)(6a[tex].^k[/tex]b)=30a⁶b⁴.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division

We have an expression given as:-

(5a²b³)(6a[tex].^k[/tex]b)=30a⁶b⁴.

The mathematical properties we knew

[tex]x^mx^n = x^{m+n}[/tex]

[tex]x^m[/tex]÷[tex]x^n=x^{m-n}[/tex]

So the expressions will be written as:-

(5. 6 . a². a[tex].^k[/tex] .b³ .b =  30a⁶b⁴.

30 ( [tex]a^{2+k}[/tex])([tex]b^{3+1}[/tex]) =  30a⁶b⁴.

Comparing the terms we will get:-

[tex]a^{2+k}[/tex] = a⁶

2 + k = 6

k = 6 - 4

k = 4

Therefore the value of K will be equal to 4 for an expression (5a²b³)(6a[tex].^k[/tex]b)=30a⁶b⁴.

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The x-intercepts and the y-intercepts of the function is that determines the graph is:

The function of an absolute equation can be graphed by determining the values of x-intercepts and the y-intercepts of the function.

From the given equation:

y = 2|x+3| - 4

To determine the y-intercepts, we need to set the values of x to zero, and vice versa for x-intercepts.

By doing so, the x-intercepts and the y-intercepts of the function is:

Therefore, since we know the x and y-intercepts, the graph of the absolute value can be seen as plotted below.

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The coordinates of point N are (3, 5).2 the answer is 2/1 but just write 2.

We have given that,

Polygon MNOPQ is dilated by a scale factor of 0.8 with the origin as the center of dilation, resulting in the image M′N′O′P′Q′.

A coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements on a manifold such as Euclidean space.

The coordinates of point M are (2, 4), and the coordinates of point N are (3, 5)

Therefore we get,

2 the answer is 2/1 but just write 2.

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Answer:

x < 3

Step-by-step explanation:

The last step is to divide by -2. When you divide by a negative number you must reverse (flip) the inequality symbol.

-6 < -2x

-6/-2 > -2x/-2

3 > x

This is the same as

x < 3 (see the pointy side pointing at the x and the wide open side facing the 3)

Answer: p=2, q=-1

Step-by-step explanation:

[tex]\frac{\sqrt{3}-1}{\sqrt{3}+1} \left(\frac{\sqrt{3}-1}{\sqrt{3}-1} \right)=\frac{3+1-2\sqrt{3}}{2}=\frac{4-2\sqrt{3}}{2}=2-\sqrt{3}\\\\\therefore p=2, q=-1[/tex]