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!
Answers
If I'm not wrong, then the answer will be:-
Given
• centers A, B, C
• three congruent sides
• have no common points
So, the result is:-
| PQ | + | RS | + | TU | = | QR | + | ST | + | UP |
ProvedI hope this answer is correct and helps you.
✍️ By Benjemin ☺️
Related Questions
HELP ME OUT PLEASE
The following table shows the amount of money his friend Car earns for different numbers of hours worked.
Answers
X= 2y-3 what is equation for y
Answers
Answer:
y=1/2+3/2
Step-by-step explanation:
I wrote the answer is slope intercept form because it an equation for y
Slope intercept form = y=mx+b
Hope this helps
A triangle is shown on the graph:
A coordinate plane is shown. A triangle has vertices at negative 6 comma 2, negative 5 comma 5, negative 2 comma 2.
What effect will a 90-degree clockwise rotation have on the triangle? Be sure to address how it could impact the angles, side lengths, and any congruency between the original pre-image and the image.
Answers
9514 1404 393
Answer:
the image is congruent with the original, angles and lengths are unchanged
Step-by-step explanation:
Translation, rotation, and reflection are known as "rigid transformations". Effectively, you can cut the figure from some rigid material, and move it according to any of these transformations without causing it to deform in any way.
All lengths and angles retain their measures when the figure is rotated about any point, through any angle. The rotated figure is congruent with the original.
__
Here, the triangle is defined in the second quadrant. Rotating it 90° clockwise will move it to the first quadrant. The transformation of coordinates is ...
(x, y) ⇒ (y, -x)
Which statements below are true? Select all that apply.
A. Ifp - q and q are true, then p is true.
B. If p - q and p are true, then q is true.
C. If p - q and a - rare true, then p
ris true.
D. If p - q and r are true, then q
ris true.
Answers
Answer:
A
Step-by-step explanation:
The statement that If p → q and q are true, then p is true which is the correct answer would be an option (A).
What is the conditional statement?A conditional statement is defined as the two fundamental components that make up a conditional statement are Hypothesis (if) and Conclusion (then).
Let us consider the example to understand the parts of a conditional statement.
Conditional Statement: If today is Friday, then yesterday was Thursday.
Hypothesis: "If today is Friday."
In the given problem,
Conditional Statement: If p → q and q are true, then p is true,
Hypothesis: "If p → q and q are true"
Hence, the statement that If p → q and q are true, then p is true which is the correct answer would be option (A)
Learn more about the conditional statement here:
brainly.com/question/7066208
#SPJ6
You have 10 blue shirts and r red shirts.
What expression shows your total number of shirts?
Answers
I will give BRAINEST
If l| m, find the values of x and y in the diagram below
Answers
Answer: x= 13, y=24
Step-by-step explanation:
7x - 31 + 63 + 5x - 8 = 180 (sum of co-interior angles)
Solving this we get x = 13
4y + 27 + 5x - 8 = 180 (sum of co-interior angles)
Replacing x=13 and solving, we get y = 24
The value of x is 7 and y is 31.5.
What is Transversal line?Transversal line is a line that is formed by cutting two or more parallel lines.
Here there are two transversal lines which cut two parallel lines.
If two parallel lines are cut by a transversal line, then the interior angles on the same side of the transversal will be supplementary.
The angles of measures (7x - 31)° and (5x - 8)° + 63 are two interior angles on the same side of transversal and are thus supplementary.
(7x - 31)° + (5x - 8)° + 63 = 180°
7x + 5x - 31 - 8 + 63 = 180
12x + 24 = 180
12x = 180 - 24
12x = 156
x = 156/12 = 13
Similarly, (5x - 8)° and (4y + 27)° are a pair of interior angles on the same side of transversal.
(5x - 8)° + (4y + 27)° = 180°
5x + 4y + 19 = 180
(5 × 13) + 4y + 19 = 180
65 + 4y + 19 = 180
4y = 96
y = 24
Hence the values of x and y are 13 and 24 respectively.
To learn more about Transversal lines, click :
https://brainly.com/question/28983284
#SPJ2
find what % of 62 is 3
Answers
Answer:
I believe your answer to this is 4.84%. I hope this helps! :)
Find the value of x and then length of each diagonal.
AC = 8x - 4
BD = 6x + 10
Answers
2x-4=10
2x=14
x=7
AC = 8(7)-4
AC = 52
BD = 6(7)+10
BD= 52
6. The cost to download a normal movie is $15.00. New released movies
cost $18.00 to download. What is the percent of increase from a normal
movie download and the new releases?
Answers
Answer:
+20% increase
Step-by-step explanation:
(V2−V1)/|V1|×100
=(18−15)|15|×100
=315×100
=0.2×100
=20%change
=+20%increase
the percent of increase from a normal movie download and the new releases are $3.00
I really need help getting these answers please
Answers
Answer:
[tex]f(x) = \frac{5}{2} x + \frac{21}{2} \\ f(x) = 2 \\ f(x) = - \frac{3}{2} x + 4[/tex]
7. You earn $7.80 an hour working as a dog sitter. You work 12.5 hours
during the weekend. How much money do you makely
7.8
PLEASE SHOW THE WORK
Answers
Answer:
la app es la mejor gracias
Step-by-step explanation:
kzemwmqoqlwmlzosmiw k wlwlqmwnqlqnqnnqnw b ww wnqkq n1 11nn1n1k1k1kwnwmwnwy7juhhhjuyyhhhhhyujhhhyjyyyyyynwnqkwnbu. u u. ininikwmwmw
can anyone help me with this quickly please :)
Answers
To find the y-value that matches with the x-value, we will need to plug in the x-value and simplify the expression.
f(-2) = sqrt(-2 + 2) - 6
f(-2) = sqrt(0) - 6
f(-2) = -6
f(-1) = sqrt( -1 + 2) - 6
f(-1) = sqrt(1) - 6
f(-1) = 1 - 6
f(-1) = -5
f(2) = sqrt(2 + 2) - 6
f(2) = sqrt(4) - 6
f(2) = 2 - 6
f(2) = -4
f(7) = sqrt(7 + 2) - 6
f(7) = sqrt(9) - 6
f(7) = 3 - 6
f(7) = -3
Hope this helps!! :)
You roll a six-sided die. Find the probability of each of the following scenarios
(a) Rolling a 6 or a number greater than 3
(b) Rolling a number less than 5 or an even number
(c) Rolling a 4 or an odd number
---
(a) P(6 or number > 3) = 0.500 (Round to three decimal places as needed)
(b) P(1 or 2 or 3 or 4 or 6) =
(Round to three decimal places as needed.)
Answers
Answer:
a) [tex]1/2[/tex]
b) [tex]5/6[/tex]
c) [tex]2/3[/tex]
Step-by-step explanation:
a)
Rolling a number greater than 3 means you can roll a 4, 5, or 6, which contains rolling a 6. So, the probability is [tex](1+1+1)/6=3/6=\boxed{1/2}[/tex]
b)
Rolling a number less than 5 means you can roll a 1, 2, 3, or 4, but because you could also roll an even number, so you could also roll a 6.
So, the probability is [tex](1+1+1+1+1)/6=\boxed{5/6}[/tex]
c)
Rolling a 4 or an odd number means you can roll a 1, 3, 5, or 4. So, the probability is [tex](1+1+1+1)/6=4/6=\boxed{2/3}[/tex]
Alejandra currently has a balance of $2,254 in her checking account. She deposits a $873.84 paycheck, a $25 rebate check, and a personal check for $358 into her checking account. She wants to receive $350 in cash. How much will she have in her account after the transaction?
Answers
Answer:
$3160.84
Step-by-step explanation:
2254 + 873.84 + 25 + 358 = 3510.84
3510.84 - 350 = 3160.84
Graph the point (5,6)
Answers
Answer:
(x,y)
Step-by-step explanation:
On point 0 you would go right 5 times and up 6
What is h in h/7.5 = 3.2
Answers
Answer:
24
Step-by-step explanation:
Answer:
24 is the answers for the question
Step-by-step explanation:
please mark me as brainlest
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the
time after launch, x in seconds, by the given equation. Using this equation, find the
time that the rocket will hit the ground, to the nearest 100th of second.
y = -16x2 + 130x + 140
Answers
Answer:
10.17 seconds
Step-by-step explanation:
substitute y=0 into the equation
0=-16x²+153x+98
then use the quadratic formula
a = -16
b= 153
c = 98
Substituting values into the Quadratic equation, you get (Round the values to the nearest hundreth):
x₁= 10.17
x₂= -0.60
Homer and Marge had
dinner at the Main Street
Café. Their bill was
$35.28. If they tip their
waitress 15%, how much
of a tip will they leave?
Answers
Answer:
$5.29
Step-by-step explanation:
The tip was 15% U take that 15% and divide it by 100
whatever the answer was multiply it by a $35.28
Choose the number sentence that illustrates the distributive property of multiplication over additional
Answers
Answer: A
Step-by-step explanation:
It distributed into 5x 4 and 5 x 9. Lemme get brainliest
Answer:
A
Step-by-step explanation:
7. John is going on a trip to Brazil. He has 3 pairs of pants, with colors blue, black and green. He
has 6 shirts with colors red, white, yellow, purple, green and brown. If he has a pair of brown
shoes, black shoes and a pair of sneakers, how many different combination of pants, shirts and
foot wear can he wear while on vacation? Show your work.
Answers
Answer:
54
Step-by-step explanation:
3(pants)x6(shirts)x3(shoes)=54
I cant seem to find the right answer for this one, can anyone help me evaluate this problem please
Answers
Answer:
substitute the values of a b and c on the expression and write the answer.
Answer:
((-3×4)-(4×2))^3 (-12+8)^3 (-4)^3 -54
__________ = ________ = ________= ______= -1.8
(2×3)-1 6-1 5 5
pwease help i also giving another brainliest
Answers
Answer:
9.45 (Jill)
Step-by-step explanation:
2.7 x 3.5 = 9.45
Lisa put the decimal in the wrong spot.
Abigail is trying to rent a boat while on vacation. She has two options to choose from.
Bruce's Boats: $22.50 per hour plus a one time fee of $85
Peter's Pontoons: $65.00 per hour
After how many hours, will Bruce's Boats, and Peter's Pontoons charge the same amount?
A.130
B.2
C.3
D.85
ANSWER QUICK
Answers
Step-by-step explanation:
D bruce's boats: $22.50
Identify the domain
of the following function.
PLS HELP
Answers
If u guys help
Me this should be easy depending on who’s doing it ok what are the answers to this u guys have to figure it out This is 3rd grade homework I trying to help my friend and he doesn’t know what the rest are can u help please asap
Name
wrap
sign
wrote
gnaws
wring
knee
wreath
knit
knife
knight
knock
write
gnome
wrists
wreck
A. Write the spelling words that match the clues below.
1. street marker
S
4. a sharp tool
ínite
MA
2. tap on a door
5. cover a gift with paper
3. a ring of plants used for
decoration
B. Write the spelling word that best completes each sentence.
6. The doctor checked both her
after she fell.
P
7. He
a letter to the mayor about the park.
8. I am learning to
a wool scarf.
9. A beaver
trees into logs.
10. My friend likes to
silly poems about animals.
11. My little sisters
my room when they come in.
12. My story is about a brave
- who fights dragons.
13. I scraped my left
when I fell off my bike.
14. A
is small and usually wears a pointed hat.
15. We will
out the wet towels.
Answers
Answer: look at explanation
Step-by-step explanation:
number 3. wreath
number 8. knit
number 9. gnaws
number 10. write
number 11. wreck
number 12: knight
number 14: gnome
number 15: wring
1
_ x + 9 for x=3 .............................................
2
Answers
Answer:
10.5
Step-by-step explanation:
[tex] \frac{1}{2} \times 3 + 9 \\ 1.5 + 9 \\ 10.5[/tex]
[tex]\\ \tt\Rrightarrow 1/2x+9[/tex]
x=3[tex]\\ \tt\Rrightarrow x/2+9[/tex]
[tex]\\ \tt\Rrightarrow 3/2+9[/tex]
[tex]\\ \tt\Rrightarrow 3+18/2[/tex]
[tex]\\ \tt\Rrightarrow 21/2[/tex]
[tex]\\ \tt\Rrightarrow 10.5[/tex]
Select Correct or Incorrect for each equation.
Equation
Correct
Incorrect
-1=-1
-141 =-1
o
W
Answers
Answer:
-141 = -1 W
Step-by-step explanation:
five times x equals one
Answers
Answer:
x=0.2
Step-by-step explanation:
1 / 5 = 0.2
therefore
5 x 0.2 = 1
Simplify the expression to a + bi form:
(1 – 6i) + (12 + i)
Answers
[tex]\\ \sf\longmapsto (1-6i)+(12+i)[/tex]
[tex]\\ \sf\longmapsto 1-6i+12+i[/tex]
[tex]\\ \sf\longmapsto 1+12-6i+i[/tex]
[tex]\\ \sf\longmapsto 13-5i[/tex]
[tex]\sf{13+(-5i) }[/tex]
Step-by-step explanation:
we have to Simplify the expression(1 – 6i) + (12 + i) to a + bi form
[tex](1 – 6i) + (12 + i)\\\\1-6i+12+i\\\\1+12-6i+i\\\\13-5i\\\\13+(-5i)[/tex]
What is the difference in length between the shortest worm (3/4) and the longest worm (1 1/2)
Answers
Answer: 3/4 difference
Step-by-step explanation:
Turn 1 1/2 improper = 3/2
Multiply it by 2 (to make the denominator the same)
Do 6/4 minus 3/4 to get 3/4 as your answer.
Hope that helps! :))