Proof Hexagon:
Hey, I'm a German 11th grader and we currently have a tough geometry question: The centers A, B, C of three congruent circles that have no common points do not lie on the same straight line. From points A, B, C, the six tangents shown in the figure are placed on the circles that enclose a convex hexagon.Prove: The sums of the lengths of three pairs of not immediately adjacent sides of this hexagon are equal, i.e. | PQ | + | RS | + | TU | = | QR | + | ST | + | UP |
How can I prove this? I already found out that the triangles on the sides of the hexagon are not pairwisely congruent, as i first thought. I think my other idea that the red and orange triangles (attachment) are congruent, so the sum of the areas of the triangles on the above mentioned sides is equal, but the congruency of red and orange must be proven too. Any help is appreciated!

[tex]\\ \sf\longmapsto \dfrac{w^2x-3}{10z}[/tex]

[tex]\\ \sf\longmapsto \dfrac{(-9)^2(2.7)-3}{10(-2/5)}[/tex]

[tex]\\ \sf\longmapsto \dfrac{81(2.7)-3}{-2(2)}[/tex]

[tex]\\ \sf\longmapsto \dfrac{218.7-3}{-4}[/tex]

[tex]\\ \sf\longmapsto \dfrac{215.7}{-4}[/tex]

[tex]\\ \sf\longmapsto \dfrac{216}{-4}[/tex]

[tex]\\ \sf\longmapsto -44[/tex]

Step-by-step explanation:

(-9)^2(2.7)-3/10(-2/5

= 81(2.7)-3/-2(2)

= 218.7-3/-4

= 215.7/-4

= -44

Step-by-step explanation:

→ 6(8p - 7)

→ 48p - 42 ← ans.

hope this answer helps you dear take care and may u have a great day ahead!

Answer:

b

Step-by-step explanation:

Answer:

Would x not be 70 degrees as it corresponds to the 70 on the bottom line?

Step-by-step explanation:

Answer:

As shown in the attachment,

Step-by-step explanation:

refer to the attachment

Multiplying by 4 using the doubles strategy utilizes the fact that 4 is double of 2. Hence, 4 time any number is double of 2 times that number. Thus, given 4 x 8, it can be evaluated using the double strategy as follows 2 x 8 + 2 x 8 = 16 + 16 = 32

Answer:

ind the slope of the original line and use the point-slope formula  y − y 1 = m ( x − x 1 )

to find the line parallel to  x + 4y = 28 .

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

If there is an even number of 4 and -4s. They should all cancel each other out and equal 0.

Answer:

When you multiply two imaginary numbers, you are essentially multiplying them by itself or squaring them. If we recall, an imaginary number is the square root of -1. By squaring this number, you're eliminating the square root, ending up with -1 (aka a real number).

Answer:

I already answered it for you

None. There is no solution. None of them are equal. 2 to the fifth power is 32.

Most of them equal to something above 80 or are between 50 and 200.

Although the sample size for the poll is much larger than is typical for polls such as the Gallup Poll, the poll may give unreliable information about the voting population, even with such a large sample size, due to the following reasons:

Learn more in https://brainly.com/question/1590463

Answer:

x=0

Step-by-step explanation:

2^2 + x - 4 = 0

2^2 = 4

4+x-4 = 0

Combine like terms

x=0

The area of the given figure that is mentioned is 64.

A square has congruent angles on each side. The square's area is thus equal to its square divided by its side length.

Let a represent the square's side length. The area of the square will be calculated as:

Area of the square = a² square units

The side provided is 8 ft

The area will be

= a²

= 8²

=64

More about the area of the square here,

https://brainly.com/question/1658516

#SPJ1

Answer:

el equivalente a 23.79 no daré explicación

Answer:

i think it is b

Step-by-step explanation:

Answer:

35.85%

Step-by-step explanation:

first, find the difference between the real value and the estimated value:

365.99 - 234.78 = 131.21

now divide the difference by the real value:

131.21 / 365.99 = 0.358507

now multiply 0.358507 by 100 to get a percentage, then round to 2 decimals:

35.85%

im pretty sure that the slope for both lines would be 2

Answer:

Number 1 :If you are using a calculator, simply enter 40×100÷17, which will give you the answer.

Number 2: 45 percent of 155 is 69.75.

Number 3: 137 is what percent of 153? = 89.54

Since both cot(θ) and cos(θ) are positive, it follows that sin(θ) is also positive:

cot(θ) = cos(θ)/sin(θ) > 0   ===>   sin(θ) > 0

Recall the Pythagorean identity:

sin²(θ) + cos²(θ) = 1

Multiplying both sides by 1/sin²(θ) yields another form of the identity,

sin²(θ)/sin²(θ) + cos²(θ)/sin²(θ) = 1/sin²(θ)

1 + cot²(θ) = csc²(θ)

so that

csc(θ) = + √(1 + cot²(θ))

csc(θ) = √(1 + (3/2)²)

csc(θ) = √13/2

By definition of cosecant, we have

csc(θ) = 1/sin(θ)

so that

sin(θ) = 2/√13

Then using the Pythagorean identity once more, we have

cos(θ) = + √(1 - sin²(θ))

cos(θ) = √(1 - (2/√13)²)

cos(θ) = 3/√13

so that, by definition of secant,

sec(θ) = 1/cos(θ)

sec(θ) = √13/3

Answer:

A= 5.6 x 5.6 = 31.36

P= 5.6 × 4 = 22.4

Step-by-step explanation:

to find the area of a square, just take the length of 1 side and square it (A= length^ 2)

to find the perimeter of a square multiply length by 4 sides.

*these formulas only hold true for squares bc the length of each side is the same.

Answer:

[tex]2x + 5 < 19 \\ 2x < 19 - 5 \\ 2x < 14 \\ x < 7[/tex]

Answer:

The result can be shown in multiple forms.

Inequality Form:

−12< x < 7

Interval Notation:

(−12,7)

Step-by-step explanation:

first write |2x+5|<19 as a piece wise

2x+5≥0

To find the interval for the first piece, find where the inside of the absolute value is non-negative.

[tex]\frac{2x}{2}[/tex] ≥[tex]\frac{5}{2}[/tex] divide

x ≥−[tex]\frac{5}{2}[/tex] cancel common factor of 2

x ≥ −5/2.

To find the interval for the second piece, find where the inside of the absolute value is negative.

2x+5 < 0

substract by 5

2x < −5

divide by 2x

2x/2< −5/2

simplify to left side

x < −5 / 2

Simplify the right side.

x <  −5/2

In the piece where 2x+5 is negative, remove the absolute value and multiply by −1

− (2x+5) < 19

Write as a piecewise.

{2x+5 <19           x ≥ − 5/2

− (2x+5) < 19      x <− 5/2

Simplify −(2x+5)<19.

{2x+5<19       x≥−5/2

−2x−5<19      x<−5/2

Solve 2x+5 < 19 when x ≥ −5/2.

2x+5<19 for x.

Move all terms not containing x to the right side of the inequality.

2x < 14

divide by 2

x < 7

Find the intersection of x < 7 and x ≥−5/2.

−5/2 ≤x <7

Solve −2x−5 <19 when x <−5/2.

Move all terms not containing x to the right side of the inequality.

−2x<24

divide by -2

x>−12

Find the intersection of x > −12 and x <−5/2.

Find the union of the solutions.

−12 < x < 7

Answer:

PHOTO MATH KANALANG

Step-by-step explanation:

BAKA MERON ANS DON

Answer:

ST = 2x

Step-by-step explanation:

if not please elaborate on the question.

Answer:

2

Step-by-step explanation:

7x + 3 = 8x + 1

2 = x

these are geometry problems.

Answer:

[tex]$4.\overline{54}[/tex]

Step-by-step explanation:

The percent decrease is [tex]$92/88-1=23/22-1=1/22=4.5454545...$[/tex].

So, the answer is [tex]$\boxed{4.\overline{54}}$[/tex] percent decrease.

Answer:

A) 109 degrees

The answer is 109 degrees because each opposite angle added equals 180°. 180-71= 109

Good luck on your assignment ⊂(◉‿◉)つ