Find the point that partitions a segment AB where A (-2, -6) and B (6, 12) into two equal parts.

Answer:

x= √10 and x= -√10

Step-by-step explanation:

first look to isolate the term with the variable on one side

-5 +5 -2x² = -5 -15; subtract 5 from both sides(inverse of addition)

-2x² = -20; divide both sides by -2 (inverse of multiplication)

x² = 10; square root both sides (the inverse of raising to power of 2)

√x² =√10

x =±√10

Answer:

DCE is similar to AED

EBA is similar to AED

AFE is similar to AED

EFD is similar to AED

Step-by-step explanation:

Triangle AED:

D=53(alternate interior angle)

A=180-90-53=37 (angle of triangle)

AA similarity criterion

DCE is similar to AED

angle BEA=180-90-53=37=angle A of AED

Thus: AA similarity criterion:

EBA is similar to AED

The diagonal of parallelogram(here:rectangle) cut it into 2 congruent triangles

Thus:

EBA is congruent to AFE

EBA is congruent to AFEDCE is congruent to EFD

Congruent triangles are similar

Conclusion:

DCE is similar to AED

EBA is similar to AED

AFE is similar to AED

EFD is similar to AED

Please give brainliest if it helps

The triangles are similar to triangles AED are DCE is similar to AED, EBA is similar to AED, AFE is similar to AED, EFD is similar to AED.

What triangles are similar to triangle AED?

Alternate interior angles are formed when a transversal passes through two lines.

The angles that are formed on opposite sides of the transversal and inside the two lines are alternate interior angles.

In the triangle AED:

The angle is equal to 53.

Then,

A=180-90-53=37

DCE is similar to AED.

Here EBA, DCE, EF, D, and AFE bc it doesn’t matter about the size it matters about the angle whether it stays the same and you can clearly see that angle b, and f, angle, c, and angle e are all 90 degrees making the triangles I listed similar to triangle AED.

Hence, The triangles are similar to triangles AED are DCE is similar to AED, EBA is similar to AED, AFE is similar to AED, EFD is similar to AED.

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The more accurate value is roughly 220.675583792499 km but even that isn't an exact value.

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

Explanation:

Refer to the diagram below.

The plane starts at point A, which is the origin (0,0)

Directly north is the bearing 0 degrees, which it sometimes written as triple zeros and a degree symbol at the end, so we'd write 000° to mean directly north.

Let's say we face directly north. When turning clockwise (turn toward the east), the bearing angle increases. That means directly east is the bearing 090° and 180° is directly south.

The bearing 270° is directly west. Another 25 degrees gets us to 270+25 = 295°

This plane is facing the northwest direction, as the diagram indicates below (the plane is aimed at point C while it's located at point A initially).

------------

Triangle ABC has the horizontal component AB = 200 km, since we're told that the plane is 200 km west of its starting point (and some unknown distance north of the starting point).

We use the cosine ratio to help determine the hypotenuse length AC

cos(angle) = adjacent/hypotenuse

cos(A) = AB/AC

cos(25) = 200/x

x*cos(25) = 200

x = 200/cos(25)

x = 220.675583792499 which is approximate.

x = 221

I'm rounding to the nearest whole number since every other value given to you is a whole number. Round as your teacher instructs.

This means the plane is roughly 221 km away from its starting point. In other words, side AC is about 221 km long.

Answer:

75%

Step-by-step explanation:

Looking at the plot, we can see that the number 27 represents the minimum value while the number 45 represents the upper quartile

Between the minimum value and the upper quartile, there is 75% of all the values on the plot

So, we can conclude that between the numbers 27 and 45, we have 75% of all the data values present.

Kindly note;

There are five points in a box plot

minimum

lower quartile (0-25%)

Median (0-50%)

Upper quartile (0-75%)

Maximum number (0-100%)

Answer:

x = 2/3

Step-by-step explanation:

The last two digit of postal code here is 12

We multiply this by x

so we have x * 12 = 12x

The number of family members is 6 ; and we are to equate it to my age which is 14

thus, we have the equation as;

12x + 6 = 14

12x = 14-6

12x = 8

x = 8/12

x = 2/3

Answer:

[tex]C" = (-4,-3)[/tex]

Step-by-step explanation:

Given

[tex]C = (4,3)[/tex]

Required

The coordinates of C"

From the question, we understand that:

C is reflected over x-axis to give C'

The rule to this is:

[tex]C(x,y) \to C'(x,-y)[/tex]

So, we have:

[tex]C(4,3) \to C'(4,-3)[/tex]

Next, C' is reflected over y-axis to give C''

The rule to this is:

[tex]C'(x,y) \to C"(-x,y)[/tex]

So, we have:

[tex]C'(4,-3) \to C"(-4,-3)[/tex]

Answer:

54 cm

Step-by-step explanation:

Hi there!

1) Round pi

π = 3.14159265...

Rounded to a whole number ⇒ 3

2) Determine the circumference

C = πd where d is the diameter

Plug in the diameter

C = 18π

Plug in π

C = 18(3)

C = 54

Therefore, a reasonable estimate for the circumference of this circle would be 54 cm.

I hope this helps!

Answer:

227 * 7^2

Put into calculator

Step-by-step explanation:

Area of a circle is pi * r^2 (pi times radius squared)

Just put the numbers in

227 * 7^2

Put into calculator and there you go

Answer:

P = 40.56 ft.

Step-by-step explanation:

Answer:

40.56

Step-by-step explanation:

Answer:

32.7 degrees

Step-by-step explanation:

The total exterior angle of any polygon is 360 degrees

Each exterior angle can be calculated by dividing this total by the number of sides

So we have each measure as 360/n

where n is the number of sides

here, we have n = 11

So we have each exterior angle as:

360/11 = 32.7 degrees

Answer:

40

Step-by-step explanation:

Answer:

-3/5

Step-by-step explanation:

7 * -3/7 * 1/5

Rewritng

7/7 * -3/5 *1

Simplifying fractions

1 * -3/5 *1

-3/5

Answer:

"31st in the sequence"

87/3 = 29 ..   29 subtractions needed to get to zero

the 30th position in the sequence will be zero

the 31st is the first negative term

1 87

2 84

3 81

4 78

5 75

6 72

7 69

8 66

9 63

10 60

11 57

12 54

13 51

14 48

15 45

16 42

17 39

18 36

19 33

20 30

21 27

22 24

23 21

24 18

25 15

26 12

27 9

28 6

29 3

30 0

31 -3

Step-by-step explanation:

Answer:

which shape tho and it's easy if there is more than one shape than find the formula for each shape and combine them!

Answer:

Answer:

B

Step-by-step explanation:

that is a linear equation, therefore it makes a line, eliminating choices C and D.

Lines can literally Any x or y. So it would be B, a set of all the solutions to the equations.

Answer:

Click the third one.

Answer:

3rd one

Step-by-step explanation:

Mark me brainliest pls

Hope this helps!

Answer:

A. 4:5

B. 600 girls

Step-by-step explanation:

A. g : b = 12 : 15 = 4 : 5

B. the numbers of girls = 4/(4+5) × 1350

= 4/9 × 1350 = 600

Answer:

The ratio of the distance of Pluto and the earth to the Sun is 40.

Time taken by light to travel from Sun to Pluto is 5.3 hours.

Step-by-step explanation:

Distance between Earth an Sun = 93,000,000 miles

Time from Sun to Earth = 8 minutes

Distance beteen Pluto and Sun = 3.7 x 10^9 miles

The ratio of the distance between Pluto and Sun to the Earth and Sun is

[tex]\frac{3.7\times 10^9}{93000000}\\\\=39.8 =40[/tex]

Now let the time taken by the light to move from Sun to Pluto is t.

[tex]\frac{93000000}{8}=\frac{3.7\times 10^9}{t}\\\\t =318.28 minutes = 5.3 hours[/tex]

Answer:

The correct Option is B

Step-by-step explanation:

Two Angles that are equal to the same angle must themselves be equal (Transitive property of equality)

BD = BE, because they are radii of the same circle. DG = EG because they are sides f equilateral triangle DEG. Therefore, the correct option is option A.

An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles.

We refer to these as dihedral angles. The angle formed by the rays lying perpendicular to the two crossing curves at the point of junction is another property of intersecting curves.

Angle can also refer to the size of such an angle or maybe a rotational angle. The length of such a circular arc divided by its radius is the traditional definition of this metric, which may also be signed. BD = BE, because they are radii of the same circle. DG = EG because they are sides f equilateral triangle DEG.

Therefore, the correct option is option A.

To know more about angle, here:

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Answer:

x = 12.65

Step-by-step explanation:

The angle between radius and tangent is 90°

Given diameter is 6, so radius = 3.

Then we use Pythagoras theorem

Answer:

[tex]{ \bf{ {x}^{2} + 10x - 2400 = 0}} \\ { \bf{ \red{it \: has \: no \: rational \: factors}}} \\ x = - 54.2 \: \: and \: \: 44.2[/tex]

Answer:

Let length = x

Let width = x + 5

Let Area = A

A = x(x + 5)

A = x2 + 5x

Answer:

130º

Step-by-step explanation:

it seems like this would make a circle which adds up to 360º so first add the two numbers (150+80=230) then subtract from the amount it should be (360-230=130)

Answer:

(A) -3 ≤ x ≤ 1

Step-by-step explanation:

The given function is presented as follows;

h(x) = x² - 1

From the given function, the coefficient of the quadratic term is positive, and therefore, the function is U shaped and has a minimum value, with the slope on the interval to the left of h having a negative rate of change;

The minimum value of h(x) is found as follows;

At the minimum of h(x), h'(x) = d(h(x)/dx = d(x² - 1)/dx = 2·x = 0

∴ x = 0/2 = 0 at the minimum

Therefore, the function is symmetrical about the point where x = 0

The average rate of change over an interval is given by the change in 'y' and x-values over the end-point in the interval, which is the slope of a straight line drawn between the points

The average rate of change will be negative where the y-value of the left boundary of the interval is higher than the y-value of the right boundary of the interval, such that the line formed by joining the endpoints of the interval slope downwards from left to right

The distance from the x-value of left boundary of the interval that would have a negative slope from x = 0 will be more than the distance of the x-value of the right boundary of the interval

Therefore, the interval over which h has a negative rate of change is -3 ≤ x ≤ 1

The image of the car park showing the 2 angles is attached.

Answer:

Their lines are parallel.

Step-by-step explanation:

From the attached image, we can see that ∠1 and ∠2 form a pair of alternate exterior angles. Thus; ∠1 = ∠2.

Now since they are congruent, it means that their lines will be parallel.

Thus, we can conclude that their lines are parallel.

Answer:

The answer is 12.               

12 is not a perfect square like the others.      

Answer:

2 + 0.0 + 0.07 + 0.003

Step-by-step explanation:

Pretty much just adding the whole number and decimal.

2 (whole number) + 0.073

Expanded forms require showing which place the numbers are in (i.e. 0.07 is the hundredths place)