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
can someone help simplify this 6n+5(10n−7)
Answers
Answer:
21n-35
Step-by-step explanation:
6n+5(10n-7)
distribute 5
6n+15n-35
add 6 and 15
21n-35
you cant subtract 21 and -35 because they arent like terms
In an online practice test, Sam got 11 correct answers. However, 3.5 points were deducted for incorrect answers. If he scored 18.5 points in the test, how much did he score for each correct answer?
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12(4x -1/4x ) 2 + 5(4x-1/4x) - 2
solve it
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"1.5" was replaced by "(15/10)".
5*(4*x-(15/10)*x)+12-(4*x-2)=0
Simplify 3/2
3
((5 • (4x - (— • x))) + 12) - (4x - 2) = 0
2
Subtracting a fraction from a whole
Rewrite the whole as a fraction using 2 as the denominator :
Adding a whole to a fraction
Rewrite the whole as a fraction using 2 as the denominator
Subtracting a whole from a fraction
Rewrite the whole as a fraction using 2 as the denominator
Pull out like factors :
4x - 2 = 2 • (2x - 1)
When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Here's how:
17x+28
—————— • 2 = 0 • 2
2
Now, on the left hand side, the 2 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
17x+28 = 0
Given a 30-60-90 triangle with a hypotenuse of 11 mm solve for the other sides. (Explain)
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
COS(30 degrees) X 11mm = Adjacent Side or about 9.5mm
The other equation will give you the side that is touching the 60 degree angle.
COS(60 degrees) X 11mm = Adjacent Side or 5.5mm
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.
[tex]5.5^{2}[/tex] + [tex]9.5^{2}[/tex] should equal [tex]11^{2}[/tex]. Give or take a few decimal places, it's almost exactly 11 (10.977 to be exact).
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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:
1400000
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Answer:
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Step-by-step explanation:
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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
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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:
A straight line is worth 180 degrees. Therefore, if you subract the given angle (75) from 180 you will get 105.
180-75=105 degrees.
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Answers
Answer:
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Step-by-step explanation:
Answer:
A
Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
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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
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each side has 15 cm
write your answer here
Answers
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Answer:
what she said ^^ :)
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Answers
Answer:
I think 12 : 36 I not so sure though
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Answer:
A
Step-by-step explanation:
just add 1 to each side and divide by 2
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Answer:
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Step-by-step explanation:
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Which expression represents the volume of this cylinder?
n = 2x + 7
0 0
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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 )
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school sold 2 adult tickets and 10 child tickets for a total of $56. The school took in $52 on the second
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Answers
Answer:
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Step-by-step explanation:
x=adult
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Select the correct answer from each drop-down menu.
This image may be the result of the .
If m∠RQS is 75°, then m∠TPU is °. Select the correct answer from each drop-down menu.
Answers
Answer:
- construction of a line parallel to line AB through point P
∠TPU is 75°
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
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Answer:
below
Step-by-step explanation:
Got it right
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Answers
Answer:17
Step-by-step explanation:
Answer:
Y=8x
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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:
Tengoo
Step-by-step explanation:
Miedo
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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:
what is the next 3 terms for (-6,42,-294,2058)
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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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26) 50 percent chance
27) 25 percent chance
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29) About 20 times
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X=??
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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
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Therefore in conclusion, X would be 60º.
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y^2, 2y^2, 4y^2, or 5y^2
Answers
Answer:
3y^2+2y
Step-by-step explanation:
When finding the product, what is the first step?
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Answers
Answer:
24abc
Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
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Answers
Answer:
x is equal to 1
Step-by-step explanation: