What are the missing parts that correctly complete the proof?
Given: point P is on the bisector of ABC.
Prove: point P is equidistant from the sides of ABC.
1. BP is the bisector of ABC- given
2. ABP≈CBP- ?
3. BXP and BYP are right angles- given
4. ?- all right angles are congruent
5. BP≈BP- ?
6. BXP≈BYP- ?
7. ?- corresponding parts of congruent triangles are congruent
8. Point P is equidistant from the sides of ABC- definition of equidistant
Answers
Answer:
Hello, I just took the test today. I will attach a screenshot. I hope I am not too late answering your question.
This question stumped me too at first. I hope this helps!
The missing parts that correctly complete the proof are;
2) Definition of a bisector
4) ∠BXP ≅ ∠BYP.
5) Reflexive property of congruence.
6) AAS congruence theorem.
7) Corresponding sides of congruent triangles are congruent.
We are given;
Point P is on the bisector of ∠ABC.
2) ∠ABP ≅ ∠CBP; The symbol ≅ means congruent. This means they are equal and it is true because it corresponds with the definition of a bisector means dividing into 2 equal parts.4) All right angles are congruent; Congruent means equal and the two right angles we have in the image are; ∠BXP and ∠BYP. Thus, we can write; ∠BXP ≅ ∠BYP.5) BP ≅ BP; This means that Line BP is congruent and equal to itself and this fulfils the theorem called reflexive property of congruence.6) ΔBXP ≅ ΔBYP; This means ΔBXP is congruent to ΔBYP. Since we have established that ∠BXP ≅ ∠BYP; ∠ABP ≅ ∠CBP; BP ≅ BP. It means we have 2 corresponding angles and one corresponding side equal to each other from the 2 congruent triangles and so we can say this fulfils the AAS congruence theorem.7) PX ≅ PY; This means PX is congruent to PY. From congruence theorem, corresponding sides of congruent triangles are congruent.
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Related Questions
If the perimeter of the regular pentagon is 75 cm what is the length of each side
Plz help nowww
If you wanna be crowed a brainliest:-)
Answers
Answer:
15 (mark me brainliest if you want and lmk if you need more help understanding)
Step-by-step explanation:
perimeter is (l*w)*2
if a pentagon is 5 sided, you do 75/5 which is 15.
each side has 15 cm
school sold 2 adult tickets and 10 child tickets for a total of $56. The school took in $52 on the second
The school that Elisa goes to is selling tickets to a fall musical. On the first day of ticket sales the
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ticket and one child ticket?
Answers
Answer:
x+y=4+8=12
$12 for one of each
or if you mean indivually (the wording confused me)
$4 for child, $8 for adult
Step-by-step explanation:
x=adult
y=child
2x+10y=56
4x+5y=52
iin order to be able to subtract values and find x and y im going to multiply 4x+5y=52 by two and get 8x+10y=104
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Answers
Answer:
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Step-by-step explanation:
The volume of a cylinder is given by the formula y = rrah, where r is the radius of the cylinder and h is the height.
Which expression represents the volume of this cylinder?
n = 2x + 7
0 0
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O 28x3 - 5 xX2 – 24 xX+63x
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Answers
The volume of the cylinder with radius r = x - 3 and height h = 2x + 7 is given by the expression V = π ( 2x³ - 5x² - 24x + 63 )
What is a Cylinder?A cylinder is a three-dimensional shape consisting of two parallel circular bases, joined by a curved surface. The center of the circular bases overlaps each other to form a right cylinder. The volume of a cylinder is
Volume of Cylinder = πr²h
Surface area of cylinder = 2πr ( r + h )
where r is the radius of the cylinder
h is the height of the cylinder
Given data ,
Let the volume of the cylinder be represented as V
Now , the radius of the cylinder r = ( x - 3 ) units
Let the height of the cylinder be h = ( 2x + 7 ) units
And , Volume of Cylinder = πr²h
On simplifying the equation , we get
Volume of Cylinder = π ( x - 3 )² ( 2x + 7 )
Volume of Cylinder = π ( x² - 6x + 9 ) ( 2x + 7 )
On further simplification , we get
Volume of Cylinder = π ( 2x³ - 5x² - 24x + 63 )
Hence , the expression for the cylinder is V = π ( 2x³ - 5x² - 24x + 63 )
To learn more about cylinder click :
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#SPJ7
(19 x 10 ^5)- (5 x 10 ^5)
Answers
Answer:
1400000
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Answer:
1400000x
Step-by-step explanation:
Polynomial factorization topic toh diba?
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12 : 36
20 : 45
16 : 36
Answers
Answer:
I think 12 : 36 I not so sure though
write your answer here
Answers
[tex]0.0063 = 63 \times {10}^{ - 4} = 6.3 \times {10}^{ - 3} \\ [/tex]
Done... ♥️♥️♥️♥️♥️
Answer:
what she said ^^ :)
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Answers
Answer:
9x + 34
Step-by-step explanation:
3g(x) - 2f(x); f(x) = 3x - 5 & g(x) = 5x + 8.
3(5x + 8) + - 2(3x - 5) (Plug g(x) & f(x) into equation)
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Select the correct answer from each drop-down menu.
This image may be the result of the .
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Answers
Answer:
- construction of a line parallel to line AB through point P
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Step-by-step explanation:
For Plato users
The image may be the result of the construction of a line parallel to line AB through point P
∠RQS is equal to ∠TPU;therefore, ∠TPU is also 75°
Answer:
below
Step-by-step explanation:
Got it right
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Answers
Answer: a= x+14 /b+3
Step-by-step explanation:
Answer:
Step-by-step explanation:
Simplifying
14 + x = 3a + ab
Solving
14 + x = 3a + ab
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-14' to each side of the equation.
14 + -14 + x = 3a + -14 + ab
Combine like terms: 14 + -14 = 0
0 + x = 3a + -14 + ab
x = 3a + -14 + ab
Reorder the terms:
x = -14 + 3a + ab
Simplifying
x = -14 + 3a + ab
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Answers
Answer:
es
Step-by-step explanation:
Answer:
A. 14,406. it runs by a -7 sequence, so D would be the 6th in the sequence.
Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
excavation scientists excavating a dinosaur mapped the site on a coordinate plane. if one bone lies from (-5,8) to (10,-1) and a second bone lies from (-10,-3) to (-5,-6) are the bones parallel ? explain
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Answer:
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Step-by-step explanation:
Miedo
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Answer:
A
Step-by-step explanation:
just add 1 to each side and divide by 2
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Answers
Answer:
It's "P"
Step-by-step explanation: Please give me my 15 points
Answer:
X= 60º
Step-by-step explanation:
If you are solving for a ∆, a ∆ has a degree of 180º. This thus when added up gets you.
81º + 39º = 120º
180º - 120º = 60º
Therefore in conclusion, X would be 60º.
When finding the product, what is the first step?
(-c)x(-2a)x12b
btw the x's are multiply signs.
Thanks :)
Answers
Answer:
24abc
Step-by-step explanation:
(-c)*(-2a)*12b
Multiply the numbers
-1 * -2 *12 = 24
Multiply the variables
c*a*b = abc
Put it back together
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Answers
Answer:
a rate
Step-by-step explanation:
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Answers
Answer:
Need a calculator
Step-by-step explanation:
This will be hard to explain without the ability to draw an example.
The one thing you can memorize is SOH - CAH - TOA
This stands for SIN(Opposite/Hypotenuse), COS(Adjacent/Hypotenuse) and TAN(Opposite/Adjacent).
When you know the angles of a right triangle and at least one side length, you can get the length of all the sides.
So a right triangle has two legs (sides) and the hypotenuse. If you use the first angle ( 30 degrees) you can use the formulas above to calculate the side length.
Pick either the SOH or the CAH. Let's use SOH and write out the equation:
SIN(30 degrees) = Opposite Side divided by the Hypotenuse (11mm)
You can solve for the Opposite Side by multiplying both sides of the equal sign with 11mm. You end up with SIN(30 degrees) X 11m = Opposite Side.
So the side directly across from the 30 degree angle should be 5.5mm
You can do the exact same thing with the 60 degree angle.
SIN(60 degrees) = Opposite Side divided by Hypotenuse (11mm) OR
SIN(60 degrees) X 11mm = Opposite Side
This comes out to about 9.5mm
You can check the math by using the other equation CAH
Start with the 30 degree angle and solve for the adjacent side. This is the side that is touching the 30 degree angle. Equation will be
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You can also use one last thing to check your math. The Pathagorean Theorem says in a right triangle [tex]A^{2}[/tex] + [tex]B^{2}[/tex] = [tex]C^{2}[/tex] where C is the hypotenuse and A and B are the two sides.
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Answers
Answer
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Step-by-step explanation:
have a good rest of ur day :)
Answer:
105
Step-by-step explanation:
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180-75=105 degrees.
HELP pleasee and ty to whoever does!!
Answers
26) 50 percent chance
27) 25 percent chance
28) About 25 times
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Answers
Answer:
Answer is A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
i just take the test
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Answers
Answer:
Order summands
2
Subtract
5
.
1
5.1
5.1
from both sides of the equation
3
Simplify
4
Divide both sides of the equation by the same term
5
Simplify
Step-by-step explanation:
I need helpppp IDKK
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Answer:
Step-by-step explanation:
Choice
Answer:
Can you award me brainest
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Answers
Answer:
x=1.5
Step-by-step explanation:
4x=6
6/4=1.5
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Answers
Answer:
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Step-by-step explanation:
6n+5(10n-7)
distribute 5
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Answers
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3
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Rewrite the whole as a fraction using 2 as the denominator :
Adding a whole to a fraction
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Pull out like factors :
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When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
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Here's how:
17x+28
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2
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Answers
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Step-by-step explanation:
Answer:
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Hope this helped
Step-by-step explanation:
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Answer:
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Step-by-step explanation: