What are the missing parts that correctly complete the proof? Given: Point A is on the perpendicular bisector of segment P Q. Prove: Point A is equidistant from the endpoints of segment P Q. Image: A horizontal line segment P Q. A midpoint is drawn on segment P Q labeled as X. A vertical line X A is drawn. A is above the horizontal line. The angle A X Q is labeled a right angle. The line segments P X and Q X are labeled with a single tick mark. A dotted line is used to connect point P with point A. Another dotted line is used to connect point Q with point A. Drag the answers into the boxes to correctly complete the proof. Statement Reason 1. Point A is on the perpendicular bisector of PQ¯¯¯¯¯. Given 2. PX¯¯¯¯¯≅QX¯¯¯¯¯¯ Response area 3. ∠AXP and ∠AXQ are right angles. Response area 4. Response area All right angles are congruent. 5. AX¯¯¯¯¯≅AX¯¯¯¯¯ Reflexive Property of Congruence 6. △AXP≅△AXQ Response area 7. AP¯¯¯¯¯≅AQ¯¯¯¯¯ Response area 8. Point A is equidistant from the endpoints of PQ¯¯¯¯¯. Definition of equidistant Look below me
Answers
Answer:
These are the answers in order
Step-by-step explanation:
1. Definition of bisector
2. Definition of perpendicular
3. ∠AXP ≅ ∠AXQ
4. SAS Congruence Postulate
5. Corresponding parts of congruent triangles are congruent
The missing parts that complete the proof are;
2) Definition of a bisector.
3) Perpendicular Definition.
4) ∠AXP ≅ ∠AXQ
6) SAS Congruence Theorem.
7) Corresponding sides of 2 congruent triangles are congruent.
We are given that;Point A is the perpendicular bisector of PQ
Point A is equidistant from the endpoints of PQ.
2) We are told that PX = QX; Since A bisects PQ at X, it means it divides it into 2 equal parts. Thus, this id true because it corresponds with the definition of a bisector.3. ∠AXP and ∠AXQ are right angles; Since perpendicular means right angle or 90°, we can say that this statement is true because it corresponds with the definition of perpendicular.
4. All right angles are congruent; This simply means they are equal. Thus, the two right angles here ∠AXP and ∠AXQ are congruent. We can write this with congruency symbol as; ∠AXP ≅ ∠AXQ
6. △AXP≅△AXQ; This means that △AXP is congruent to △AXQ. From the diagram, we can see that AP = AQ and that QX = PX and that ∠AXP = ∠AXQ. This means 2 corresponding sides and one corresponding angle are equal and the congruence theorem this depicts is SAS Congruence Theorem.
7. AP = AQ; This is true because we are told A is equidistant from both P and Q. Also, from the SAS congruency theorem, we can say that the corresponding sides AP and AQ are congruent.
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Related Questions
The length of a rectangle is 3 less than twice the width. The perimeter of the rectangle is 66. Find the length and width of the rectangle.
Answers
Answer:
15.
Step-by-step explanation:
L + L + W + w = 66
L= w+3
W+3 + w+3 + w + w = 66
4xw + 6 = 66
4xw = 66 - 6
4xw = 60
W + W +w +w =60
W= 60/4
W=15
L = 15+3 (=18)
15+15+18+18=66
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Answer:
-20
Step-by-step explanation:
Answer:
-625
Step-by-step explanation:
-5× -5 = 25
25 × 25= 625
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44.53
Step-by-step explanation:
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x = 6 - y
Choose a solving method to find the solution
(if possible provide explanation I do not understand this!)
Answers
3(6-y)-2y=38
distribute
18-3y-2y=38
combine like terms
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subtract and divide
y=-4
plug y in
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(1 + 3x)º (x – 13) °
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Answer:
3x^2-38x-13
Step-by-step explanation:
whats 20+1 :3 i hope you lie it!
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Answer:
201
Step-by-step explanation:
dat is the answer or is it fish hmmmmm
jk it's 21 if you actually want the real answer
If neither a nor bare equal to zero, which answer most accurately describes the product of (a + b)(a - b)?
Answers
Answer:
The imaginary part is zero.
Step-by-step explanation:
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Answer:
12-2n
Step-by-step explanation:
Difference means to subtract
Times means to multiply
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Answers
Answer:
x=12 a and y=2
Step-by-step explanation:
The equation for line w is y = 2x – 3. Line d contains the point (4, -1) and is parallel to line w. Which equation
describes line d?
Answers
Answer:
y = 2x - 7
Step-by-step explanation:
y = 2x - 3
Gradient of line w = 2
Gradient of line d = 2
i.e line w and d are parallel.
Equation of line d is:
y - (-1) = 2(x - 4)
y + 1 = 2x - 8
y = 2x - 7
Which can represent the intersection of a line and a plane.
A) a segment
B) a ray
C ) a plane
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Answers
I say this because in geometry , a point is said to be the place where a line and a plane meets at empty space (which three dimensional)
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Answers
Answer:
4
Step-by-step explanation:
how many hundredths are in 11 wholes?
how many hundredths are in 3 tenths?
how many hundredths are in 11.3?
pls help!!!
Answers
Answer:
1) 11/100 or 0.11
2) 3/1000 or 0.003
3) 113/1000 0.113
Step-by-step explanation:
Firstly, hundredths is the same as 1/100.
Multiply every number by 1/100.
11/1 • 1/100 = 11/100 or 0.11
(Remember, 11 over 1 is the same as 1. Multiply the numerators and denominators and you get 11/100).
3/10 • 1/100 = 3/1000 or 0.003
11.3/1 • 1/100 = 113/1000 or 0.113
(Move the decimal once to the right to get rid of the decimal point).
Hope this helps!
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Answers
Answer:
yes
Step-by-step explanation:
8 squared is 64
Answer:
yes 8 squared equals 64
Step-by-step explanation:
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Answer:
1:4 ? not really sure entirely what this question is asking. more context pls ?
Step-by-step explanation:
Answer:
2 to 12?
Step-by-step explanation:
Wilma Workerette worked 43.5 hours last week. Her base pay is $9.00 per hour and she gets time-and-a-half for any hours beyond 40. Using Method 1:
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Answer:
9$
Step-by-step explanation:
Hope this helps!
Good luck on ur assignment/test!‼️
Jon paid $20 towards the cost of an $80 sweater. Write a numeric equation to show how much he still owes on the sweater.
Answers
Answer:
$80 - $20 = $60 left.
Step-by-step explanation:
Please find the measure of the exterior angle
Answers
Answer:
exterior angles:
144°and 36°
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90° and 90°
Step-by-step explanation:
we know that each angle in a triangle adds up to 180°.
so,
2x+3x+5x=180
10x=180
x=180/10
x=18
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3x=54°
5x=90°
and explanation is provided to find the exterior angles above.(sorry for the bad handwriting)
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Answers
Answer:
81cm²
Step-by-step explanation:
36/4=9
9×9=81
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y + 2 = -2(x + 6)
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Answers
y+2=-2(x+6)
Explanation:
Point-slope form: y-b=m(x-a) when the points are (x,y) and (a,b)
“M” means the slope.
Because we are already given a point, we just need to plug in the values as a and b. We can also plug in the value for the slope as m.
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I hope this helps! Please comment if you have any questions.
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Answers
Answer:
third graph (choice three/bottom left)
Step-by-step explanation:
Anything with a proportional relationship will always have a constant ratio (ratios will always be equivilent).
you can eliminate any graph that has an x or y intercept other than zero, or does not have a straight line.
The two main rules of a proportional graph or direct proportion is that:
the line must go through the origin (0,0)the graph must be linearAnswer:
the bottom left one
Step-by-step explanation:
it starts at the origin and as the x value increases, the y value increases too
you can easily rule out out the top two just because it doesn't start at the origin
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Answers
Answer:
It will take 88.2 months to accumulate the amount
Step-by-step explanation:
Given;
Future value of money, FV = $25,000
investment per compound period, P = $200
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The number of monthly installments required to amount to FV is given by;
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Therefore, it will take 88.2 months to accumulate the amount.
plz help me will mark brainlest 1 hour and two or more have to answer must get every one correctt and must answer all three
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page one step three=. 5x/5=15/5
page one step four=. x=3
page two step one=. 6n+3-3=9-3
page two step two=. 6n=6
page two step three=. n=1
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page three step two=. m/3=3
page three step three=. m/3*3=4*3
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Answers
Answer:
(-2,0) and (0,-5) on the graph for the interprets x and y.
Note: I need points lol, pls put thanks and vote your stars for me! Thx!
The required x and y-intercept of the given equation is x = -2 and y = -5.
Given that,
An equation of the linear function is given 10x + 4y =-20, x and y-intercept of the function are to be determined.
Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
Given a linear function,
10x + 4y = -20
In order to get the values of the intercept we have to put x and y to zero individually,
First, for x-intercept y = 0
10x + 4(0) = -20
10x=-20
x = -2
Second for y-intercept x = 0
10(0) + 4y = -20
y = -5
Thus, the required x and y-intercept of the given equation is x = -2 and y = -5.
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Answers
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Answer:
1,000
Step-by-step explanation:
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In baseball, two statistics, the ERA (Earned Run Average) and the WHIP (Walks and Hits per Inning Pitched), are used to measure the quality of pitchers. For both measures, smaller values indicate higher quality. The following computer output gives the results from predicting ERA by using WHIP in a least-squares regression for the 2017 baseball season.
Variable DF Estimate SE T
Intercept 1 −5.0 0.26 −19.3
WHIP 1 6.8 0.14 47.4
Which of the following statements is the best interpretation of the value 6.8 shown in the output?
a. ERA is predicted to increase by 6.8 units for each 1 unit increase of WHIP.
b. WHIP is predicted to increase by 6.8 units for each 1 unit increase of ERA.
c. For a pitcher with 0 units of WHIP, the ERA is predicted to be approximately 6.8 units.
d. For a pitcher with 0 units of ERA, the WHIP is predicted to be approximately 6.8 units.
e. Approximately 6.8% of the variability in ERA is due to its linear relationship with WHIP.