PLEASE HELP ME, IVE BEEN STUCK ON THIS QUESTION FOR AWHILE NOW

Answer:

proof

Step-by-step explanation:

Statements

Reasons

<2 is congruent to <5; Segment AB is congruent to Segment DE

Given

<3≅<4

Vertical angle theorem

ΔCDB≅ΔCAE

AAS

Segment BC is congruent to Segment EC

CPCTC

The segment BC is congruent to segment EC and this can be proven by using the properties of a triangle and the given data.

Given :

The following steps can be used in order to prove that segment BC is congruent to segment EC:

Step 1 - Using the triangle properties it can be proven that segment BC is congruent to segment EC.

Step 2 - According to the vertical angle theorem, angle 3 is congruent to angle 4.

Step 3 - Now, according to the AAS (Angle Angle Side) postulate, triangle CDB is similar to triangle CAE.

Step 4 - So, according to the CPCTC, segment BC is congruent to segment EC.

For more information, refer to the link given below:

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Answer:

w = 77°

Step-by-step explanation:

From the picture attached,

WXYZ is a quadrilateral having 4 interior angles,

m∠y = 90°

Therefore, (2x - 10) = 90°

2x = 90 + 10

2x = 100

x = 50

Now, m∠z = (x + 15)° = 65°

m∠x = (3x - 22)° = 150 - 22

                          = 128°

Sum of interior angles of a polygon = (n - 2)×180°

where n = Number of sides of the polygon

If n = 4,

m∠u + m∠x + m∠y + m∠z = (4 - 2) × 180°

w + 128 + 90 + 65 = 360

w = 360 - 283

w = 77°

Therefore, measure of w = 77°

Answer:

There are 1000 millimeters in a meter.

Step-by-step explanation:

I really hope this helps in any way.

Answer:

1,000

Step-by-step explanation:

The word millimeter has the prefix of 'milli-'.

'Milli-' means a thousand.

Applying the prefix meaning to the word, a millimeter would be a thousandth of a meter.

There are 1,000 millimeters in a meter.

Brainilest Appreciated.

Answer:

5pi/3

Step-by-step explanation:

For two angles to be co-terminal, one must differ from the other by a multiple of 2pi.

The angle of consideration is 5pi/3

Let us consider the options one by one and see if they differ from the angle of consideration by a multiple of 2pi.

5pi/3 - pi/3 = 4pi/3

5pi/3 - 2pi/3 = 3pi/3 = pi

5pi/3 - 4pi/3 = pi/3

5pi/3 - 5pi/3 = 0 = 0(2pi)

5pi/3 is co-terminal with itself

Answer:

see photo

Step-by-step explanation:

see photo.

gave a good day!

Answer:

4/5

Step-by-step explanation:

You know 0.8 x 10 = 8, so 8/10 is the fraction.  

Now, simplify 8/10.  

8/10 = 4/5

Answer:

4/5

Step-by-step explanation:

Step 1: Convert decimal to fraction

0.8= 8/10

Step 2:Simplify

8/10=4/5

Answer:

A , B, E   1,2,5

Your the welcome my audience

Step-by-step explanation:

Answer:

a b e

Step-by-step explanation:

just believe me you $exy hunky man

Answer:

[tex]\boxed{\mathrm{view \: explanation}}[/tex]

Step-by-step explanation:

2)

a) elimination method

b) substitution method

c) substitution method

For the first part we can elimate the y variable by subtracting the equations. We can then find the value of x.

For the second part we can substitute y as 2x+5 in the second equation and solve for x.

For the third part we can substitute y as 4x+3 in the first equation and solve for x.

3)

[tex]\boxed{\mathrm{view \: attachment}}[/tex]

Answer:

Rectangular area attached to the back of the building

two sides of legth 7 m and one side of 14 m

Step-by-step explanation:

We need to compare quantity of fencing material to be used in both cases

1.Option

A = 100 m²          dimensions of storage area  "x"    and "y"

x*y = 100     y = 100/x

The perimeter of the storage area is

p = 2*x + 2*y       ⇒ p = 2*x + 2*100/x

p(x) = 2*x + 200/x

Taking drivatives on both sides of the equation

p´(x) = 2 - 200/x²

p´(x) = 0         ⇒        2 - 200/x² = 0

2*x² - 200 = 0       x² = 100

x = 10 m

and  y = 100/10      

y = 10 m

Required fencing material in first option

2*10 + 2*10  =  40 m

2.-Option

Following the same procedure

A = 98 m²       y = A/x         y = 98/x

p = 2*x + y             p(x) =  2*x  +  98/x

p´(x)  = 2 - 98/x²             p ´(x) = 0

2 - 98/x²  = 0

2*x²  = 98           x² =  49

x = 7 m       and        y   =  98/ 7         y  = 14 m

Total quantity of fencing material

p = 2* 7 + 14         p = 28

Therefore option 2 is more convinient from economic point of view

Optimal design rectangular storage area with two sides of 7 m and one side of 14 m

Answer:

Correct answer is option D.

Step-by-step explanation:

Given that [tex]\triangle ABC[/tex] in the image 1 attached.

If we have a look at the image attached, the coordinates are:

[tex]A(1,1)\\B(2,5)\ and\\C(4,1)[/tex]

To find reflection of a point across any line, the distance of points from the line must be same.

Point A(1,1) lies on the line x = 1, so its reflection A' will be at the same point A'(1,1).

Point C(2,5) is at a distance 1 from x = 1 on right side, so C' will be 1 distance on the left side of x = 1 i.e. 1 will be subtracted from its x coordinate.

i.e. C'(1 - 1, 5)

C'(0, 5)

Point B(4, 1) is at a distance 3 from x = 1 on right side, so B' will be 3 distance on the left side of x = 1 i.e. 3 will be subtracted from its x coordinate.

i.e. B'(1 - 3, 1)

B'(-2, 1)

When we plot the above point A', B' and C', we get the option D as correct.

The vertices of the triangle after reflection across the line x = 1 are:

A'(1, 1),

B'(-2, 1),

and C'(0, 6).

The correct option is D.

Given information:

As per the diagram,

The vertices of the triangle are:

A(1, 1),

B(4, 1),

and C(2, 6).

To find the reflection of the triangle across the line x = 1, we can apply the reflection transformation.

The line x = 1 acts as the mirror or reflection axis. To reflect a point across this line, we can imagine folding the image over the line so that the distance between the point and the line is preserved, but the point is now on the other side of the line.

Let's reflect each vertex of the triangle across the line x = 1:

Reflecting point A(1, 1):

The distance between point A and the line x = 1 is 0 since A lies on the line itself. Therefore, the reflection of point A will also be (1, 1).

Reflecting point B(4, 1):

The distance between point B and the line x = 1 is 3 units. Reflecting across the line x = 1 will place B 3 units to the left of the line, resulting in the point (1 - 3, 1), which simplifies to (-2, 1).

Reflecting point C(2, 6):

The distance between point C and the line x = 1 is 1 unit. Reflecting across the line x = 1 will place C 1 unit to the right of the line, resulting in the point (1 - 1, 6), which simplifies to (0, 6).

Therefore, the vertices of the triangle after reflection across the line x = 1 are:

A'(1, 1),

B'(-2, 1),

and C'(0, 6).

To learn more about the reflection;

https://brainly.com/question/11232423

#SPJ6

Answer:

(x + 3)² = 14

Step-by-step explanation:

x² + 6x - 5 = 0

Add 5 and 9 on both sides.

x² + 6x + 9 = 14

Factor left side.

(x + 3)² = 14

Take the square root on both sides.

(x + 3) = ±√14

Subtract 3 on both sides.

x = -3 ±√14

Answer:

The yield of the stand if one-tenth of the trees are cut is 360000 board-feet.

Step-by-step explanation:

First, let is find the total amount of fir trees that occupies the area of 24 hectares. (1 hectare = 10000 square meters)

[tex]n = \sigma \cdot A[/tex]

Where:

[tex]\sigma[/tex] - Surface density, measured in trees per square meter.

[tex]A[/tex] - Total area, measured in square meters.

Given that [tex]\sigma = \frac{1}{20}\,\frac{tree}{m^{2}}[/tex] and [tex]A = 24\,h[/tex], the total amount of fir trees is:

[tex]n = \left(\frac{1}{20}\,\frac{trees}{m^{2}} \right)\cdot (24\,h)\cdot \left(10000\,\frac{m^{2}}{h} \right)[/tex]

[tex]n = 12000\,trees[/tex]

It is known that one-tenth of the tress are cut, whose amount is:

[tex]n_{c} = 0.1 \cdot n[/tex]

[tex]n_{c} = 0.1 \cdot (12000\,trees)[/tex]

[tex]n_{c} = 1200\,trees[/tex]

If each tree will yield 300 board-feet, then the yield related to the trees that are cut is:

[tex]y = S\cdot n_{c}[/tex]

Where:

[tex]S[/tex] - Yield of the tress, measured in board-feet per tree.

[tex]n_{c}[/tex] - Amount of trees that will be cut, measured in trees.

If [tex]n_{c} = 1200\,trees[/tex] and [tex]S = 300\,\frac{b-ft}{tree}[/tex], then:

[tex]y = \left(300\,\frac{b-ft}{tree} \right)\cdot (1200\,trees)[/tex]

[tex]y = 360000\,b-ft[/tex]

The yield of the stand if one-tenth of the trees are cut is 360000 board-feet.

Answer:

Answer is 5 inches on edg

Step-by-step explanation:

Answer:

The correct answer would be 5 inches.

Step-by-step explanation:

Answer:

x=-2/3

Step-by-step explanation:

1st you have to get rid of the number next to the x value

so you divide

Answer:

x = -2/3

Step-by-step explanation:

3x = -2

Divide both sides by 3.

3x/3 = -2/3

x = -2/3

Answer:

value of x=9

so value of large number is 90 and smaller number is 9

Answer:

Top left graph.

Step-by-step explanation:

If Juan didn't take a break, there is no plateau/flat line. And if he started hiking up and then down, then the graph should be an upside-down V shape.

Answer:

Graph A is the most acuurate

Answer: A. Only A

Step-by-step explanation:

A has exactly one output for every input but B has different outputs for an input.

Answer:

y + 2 = -(x-4)

Step-by-step explanation:

Here, we want to match the graph with the correct equation

the equation is generally in the form

y = mx + c since it is a straight line

Let’s start with c which is the y- intercept

c = 2 from the graph

Let’s find value of the slope using the end points

The end points at top and at bottom are as follows respectively;

(-8,10) and (10,-8)

So the slope is ; y2-y1/x2-x1 and that is ;

-8-10/(10-(-8) = -18/18 = -1

So the complete form of the line would be;

y = -1(x) + 2

y = -x + 2

or simply y = 2-x

So which of the options fit this answer?

That would be;

y+ 2 = -(x-4)

This can be written as;

y + 2 = -x + 4

y = -x + 4-2

y = -x + 2

Answer:(D) y + 2 = -(x-4)

Step-by-step explanation:

Answer:

(x + 7)^2 + (y + 1)^2 = 25.

Step-by-step explanation:

The center of a circle is easy to set up. According to the formula below, the formula for the circle will be (x - a)^2 + (y - b)^2 = r^2.

In this case, a = -7 and b = -1, so we have...

(x - (-7))^2 + (y - (-1))^2 = r^2

(x + 7)^2 + (y + 1)^2 = r^2

To get the radius, we need to find the distance between the center and the point on the circle. The distance formula is d = sqrt((x2 - x1)^2 + (y2 - y1)^2).

In this case, x2 = -4, x1 = -7, y2 = 3, and y1 = -1.

sqrt((-4 - -7)^2 + (3 - -1)^2) = sqrt((-4 + 7)^2 + (3 + 1)^2) = sqrt((3)^2 + (4)^2) = sqrt(9 + 16) = sqrt(25) = plus or minus 5.

Since distance can only be positive, the distance is 5 units, meaning that the radius is 5 units.

5^2 = 25

So, your equation should be (x + 7)^2 + (y + 1)^2 = 25.

Hope this helps!

Answer:

True

Step-by-step explanation:

an obtuse triangle is a big one, an acute triangle is a small one. They are both triangles, but they are not similar besides that

Answer:

True

Step-by-step explanation:

Because if one acute is obtuse the other two will be obtuse

Answer:

p = 5.50b

Step-by-step explanation:

2 beach balls cost 11

4 beach balls cost 22

6 beach balls cost 33

So each (1) ball b costs 5.50 ($) p

Answer:

Step-by-step explanation:

[tex]V=10^2\cdot7+\frac13\cdot10^2\cdot(18-7)=700+\frac13\cdot1100=700+366,(6)=1066,(6)\\\\V\approx1067\,cm^2[/tex]

Answer:

Step-by-step explanation:

We can use the intercept form of the equation of a line, then solve for y.

Intercept form

  x/(x-intercept) +y/(y-intercept) = 1

  x/-4 +y/8 = 1

__

Solving for y, we have ...

  -2x +y = 8 . . . . multiply by 8

  y = 2x +8 . . . .  add 2x

The coefficient of x is 2, so the slope is 2.

__

The graph shows you the rise is 8 for a run of 4, so ...

  slope = rise/run = 8/4

  slope = 2

Answer:

Determine if each statement is always, sometimes, or never true.

1. Parallel lines are

coplanar: Always true

2. Perpendicular lines are

coplanar: Always true

3. Distance around an unmarked circle can be measured: Never true

Step-by-step explanation:

When we are say that lines are coplanar, this means that those lines happen to be or lie in the same plane , a flat surface or a 3- dimensional surface.

Co planar lines may or may not intersect with one another.

Parallel lines and Perpendicular lines are coplanar lines because they are found to be in the same plane. One of their differences is Parallel lines do not intersect with one another while Perpendicular lines intersect with one another.

Hence the statements:

Parallel lines and Perpendicular lines are coplanar is ALWAYS TRUE

Distance around an unmarked circle can be measured. This statement is never true

This is because a circle has to be marked in other to be able to measure it's distance properly. A marked circle will have its diameter and the diameter of a circle is also known as the distance around a circle.

Answer:

1) For [tex]x^2 + y^2 - 4x + 12y - 20 = 0[/tex], the standard form is [tex](x-2)^2 + (y+6)^2 = 60\\[/tex]

2) For [tex]x^2 + y^2 + 6x - 8y - 10 = 0[/tex], the standard form is [tex](x + 3)^2 + (y - 4)^2 = 35\\[/tex]

3) For [tex]3x^2 + 3y^2 + 12x + 18y - 15 = 0[/tex],  the standard form is [tex](x + 2)^2 + (y+ 3)^2 = 18\\[/tex]

4) For [tex]5x^2 + 5y^2 - 10x + 20y - 30 = 0[/tex],  the standard form is [tex](x - 1)^2 + (y+ 2)^2 = 11\\[/tex]

5) For [tex]2x^2 + 2y^2 - 24x - 16y - 8 = 0[/tex],  the standard form is [tex](x - 6)^2 + (y+ 4)^2 = 56\\[/tex]

6) For[tex]x^2 + y^2 + 2x - 12y - 9 = 0[/tex], the standard form is [tex](x+1)^2 + (y-6)^2 = 46\\\\[/tex]

Step-by-step explanation:

This can be done using the completing the square method.

The standard equation of a circle is given by [tex](x - a)^2 + (y-b)^2 = r^2[/tex]

1) For [tex]x^2 + y^2 - 4x + 12y - 20 = 0[/tex]

[tex]x^2 - 4x + y^2 + 12y = 20\\x^2 - 4x + 2^2 + y^2 + 12y + 6^2 = 20 + 4 + 36\\(x-2)^2 + (y+6)^2 = 60\\[/tex]

Therefore, for [tex]x^2 + y^2 - 4x + 12y - 20 = 0[/tex], the standard form is [tex](x-2)^2 + (y+6)^2 = 60\\[/tex]

2) For [tex]x^2 + y^2 + 6x - 8y - 10 = 0[/tex]

[tex]x^2 + 6x + y^2 - 8y = 10\\x^2 + 6x + 3^2 + y^2 - 8y + 4^2 = 10 + 9 + 16\\(x + 3)^2 + (y- 4)^2 = 35\\[/tex]

Therefore, for [tex]x^2 + y^2 + 6x - 8y - 10 = 0[/tex], the standard form is [tex](x + 3)^2 + (y - 4)^2 = 35\\[/tex]

3)  For [tex]3x^2 + 3y^2 + 12x + 18y - 15 = 0[/tex]

Divide through by 3

[tex]x^2 + y^2 + 4x + 6y = 5[/tex]

[tex]x^2 + y^2 + 4x + 6y = 5\\x^2 + 4x + 2^2 + y^2 + 6y + 3^2 = 5 + 4 + 9\\(x + 2)^2 + (y+ 3)^2 = 18\\[/tex]

Therefore, for [tex]3x^2 + 3y^2 + 12x + 18y - 15 = 0[/tex],  the standard form is [tex](x + 2)^2 + (y+ 3)^2 = 18\\[/tex]

4)  For [tex]5x^2 + 5y^2 - 10x + 20y - 30 = 0[/tex]

Divide through by 5

[tex]x^2 + y^2 - 2x + 4y = 6[/tex]

[tex]x^2 + y^2 -2x + 4y = 6\\x^2 - 2x + 1^2 + y^2 + 4y + 2^2 = 6 + 1 + 4\\(x - 1)^2 + (y+ 2)^2 = 11\\[/tex]

Therefore, for [tex]5x^2 + 5y^2 - 10x + 20y - 30 = 0[/tex],  the standard form is [tex](x - 1)^2 + (y+ 2)^2 = 11\\[/tex]

5) For [tex]2x^2 + 2y^2 - 24x - 16y - 8 = 0[/tex]

Divide through by 2

[tex]x^2 + y^2 - 12x - 8y = 4[/tex]

[tex]x^2 + y^2 - 12x - 8y = 4\\x^2 - 12x + 6^2 + y^2 - 8y + 4^2 = 4 + 36 + 16\\(x - 6)^2 + (y+ 4)^2 = 56\\[/tex]

Therefore, for [tex]2x^2 + 2y^2 - 24x - 16y - 8 = 0[/tex],  the standard form is [tex](x - 6)^2 + (y+ 4)^2 = 56\\[/tex]

6) For [tex]x^2 + y^2 + 2x - 12y - 9 = 0[/tex]

[tex]x^2 + 2x + y^2 - 12y = 9\\x^2 + 2x + 1^2 + y^2 - 12y + 6^2 = 9 + 1 + 36\\(x+1)^2 + (y-6)^2 = 46\\[/tex]

Therefore, for[tex]x^2 + y^2 + 2x - 12y - 9 = 0[/tex], the standard form is [tex](x+1)^2 + (y-6)^2 = 46\\\\[/tex]

For Plato / Edmentum

Just to the test and got it right ✅

Answer:

44.8 %  

Step-by-step explanation:

Let p = the number of people. Then

Total biocapacity     = 6.21p  ha

Grazing biocapacity = 0.85p ha

Forest biocapacity    = 2.53p      

Grazing + forest        = 2.78p ha

[tex]\text{Percent grazing + forest} = \dfrac{\text{grazing + forest}}{\text{Total}} \times 100 \, \% \\\\= \dfrac{\text{2.78p ha}}{\text{6.21p ha}} \times 100 \, \% = \mathbf{44.8 \,\%}[/tex]

Answer:

The slope or incline is -5

Step-by-step explanation:

rewrite to get the form

y = ...

x - 5y = -10

- 5y = -10 -x

divide left and right if the = sign by -5 gives:

(-5/-5)y = (-1/-5)x + (-10/-5)

y = 1/5x +2

So the incline is 1/5

a perpendicular line has an incline of -1 *5/1 = -5

The slope or incline is -5

Answer:

Velocity = 4.22 m/s

Step-by-step explanation:

Time = 1 second

Radius = 6.1 cm

Diameter = 12.2 cm = 0.122 m

Displacement = Revolution × π × Diameter

Displacement = 11 × 3.14 × 0.122

Displacement = 4.22 m

Now, Linear velocity:

Velocity = displacement / Time

Velocity = 4.22 / 1

Velocity = 4.22 m/s

Answer:  4.216 meters per second

Step-by-step explanation:

Notes: Use the following conversions:

                                                                1 revolution = 2π

                                                                100 cm = 1 meter

and the following formula: v = ωr/t where v is in meters per second

[tex]\dfrac{11\ revolutions\times 6.1\ cm}{1\ second}\times \dfrac{2\pi}{1\ revolution}\times \dfrac{1\ meter}{100\ cm}=\dfrac{1.342\pi\ meters}{second}\\\\\\=\large\boxed{\dfrac{4.216\ meters}{second}}}[/tex]

Answer:

k > - 2

Step-by-step explanation:

Given

6k + 9 > k - 1 ( subtract k from both sides )

5k + 9 > - 1 ( subtract 9 from both sides )

5k > - 10 ( divide both sides by 5 )

k > - 2

Answer:

k> -2

Step-by-step explanation:

We are given

m∠A = 75 deg

a = 2

b = 3

Apply the Law of Sines.

sin(B)/b = sin(A)/a

sin(B)/3 = sin(75)/2

sin(B) = (3*sin(75))/2 = 1.45

The value of the sin function cannot exceed 1.

This means that the triangle cannot exist.

Answer: No distinct triangles

Answer: A no triangles can be formed

Step-by-step explanation: