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.
Read more at; https://brainly.com/question/11357763
Related Questions
What is the solution to the inequality -2.1x + 2.9 > 15.5?
Answers
Answer:
x<−6
Step-by-step explanation:
Let's solve your inequality step-by-step.
−2.1x+2.9>15.5
Step 1: Subtract 2.9 from both sides.
−2.1x+2.9−2.9>15.5−2.9
−2.1x>12.6
Step 2: Divide both sides by -2.1.
−2.1x−2.1>12.6−2.1
x<−6
solve the equation. check your solution 6(4-z)=2z
Answers
Answer:
3
Step-by-step explanation:
6(4 - z) =2z
24 - 6z =2z
24 =2z +6z
24 =8z
z=24 :8
z=3
Answer:
z=3
Step-by-step explanation:
6(4-z)=2z
24-6z=2z
24=2z+6z
24=8z
z=3
You are at a restaurant and the check comes to a total of $34. If you want to leave a 16% tip, how much total money should you pay, to the nearest cent?
Answers
Answer:
34*1.16 = $39.44
Step-by-step explanation:
Answer:
$39.44
Work:
Convert percentage to decimal:
16%=16/100=0.16
Percent formula:
a(1+r)
34(1+0.16)
34(1.16)
39.44
Total amount paid:
39.44
guys help ME OUT
Compare the rental car costs, C(200) and T(200). Which car company, Speedy or Tom's Car Rentals, offers a better price for a one day rental, given that the car will be driven exactly 200 miles?
Answers
Answer:
Tom's Car Rentals
Step-by-step explanation:
S: 0.10(200) + 41 = 61
T: 0.25(200) = 50
It is evident that Tom's Car Rentals holds the better deal.
This is what I said on my homework:)
Can someone answer this plz im giving brainliest
Answers
Answer:
1, 3, 5, 7, 10 those are the answers to Y
Answer:
7: 1
21: 3
35: 5
49: 7
77: 11
Nate Has 100 Bananas. He will eat two of them every day.
Is the number of bananas Nate has left proportional to the number of days that pass?
Choose One Answer.
A: Yes
B: No
Answers
Answer:
It is NOT proportional
Step-by-step explanation:
Answer:
The answer is B: It is not proportional
Step-by-step explanation:
I just got it right on Khan
A number line going from negative 1 to positive 1 in increments of 1. There are 4 equal spaces between each number. The line contains negative 1, A, B, C, 0, D, E, F, 1. Which statements are correct? Check all that apply. Point A is plotted at –0.25. Point B is plotted at Negative one-half. Point C is an integer. Point D is a rational number. Point F is plotted at Three-fourths.
Answers
Answer:
The right choices are
Point B is plotted at negative one-half.
Point D is a rational number.
Point F is plotted at three-fourths.
Step-by-step explanation:
Let's make a number line according to the given situation. That would help us to answer the problem.
From the diagram,
Point B is plotted at negative one-half.
Point D is a rational number.
Point F is plotted at three-fourths are correct!
Answer
Point B is plotted at .Point D is a rational number.Point F is plotted at .
Step-by-step explanation:
Charlie is reading about animal hearts in a kids science magazine. He learns that a nestling (young) Striped Horned Owls heart weighs approximately 1.072 grams and blue whale's heart weighs 400 lbs. He is eager to share what he learned with his friends over lunch the next day and tells them that a blue whale's heart and a striped horned owl's heart are two orders of magnitude apart. Do you agree with Charlie's statement? Explain.
Answers
Answer:
Charlie's statement is incorrectStep-by-step explanation:
Given that the owls heart weighs 1.072 grams
and the Whale's heart weighs 400lbs
let us convert from pounds to grams to have a uniform unit
400lbs = 181,437grams
Now when two readings or quantities are two orders apart it means that they differ by a factor of 100
let us solve for the difference between the two hearts
181,437grams- 1.072 grams= 181 435.928 grams
the difference is more than two orders, hence the statement is not correct
Carmen ran one mile in 7 minutes. At this rate, how long will it take her to run 5 miles?
Answers
Answer:
35 minutes.
Step-by-step explanation:
Just multiply 7 minutes by 5 miles.
Answer:
It will take Carmen 35 minuets to run 5 miles.
What are the terms in the expression 7x+4y+1?
A. 7x, 4y, and 1
B. 7 and 4
C. 1
D. x and y
Answers
Answer:
D.
x and y are the terms think about the letters in the expression and those are the terms.
PLEASE SOLVE QUICKLY I WILL MAKE YOU BRAINLIEST!!!
solve for both X and Y, please do it fast it's due soon!!! thankyou!!
Answers
Answer:
x=25°, y=18°
Step-by-step explanation:
Solved! Here is the explanation. As we have supplementary angles, we have a total of 180° of angles. Angle BXD is a right angle, so 2x+40°=90°. 2x=50°, and then we have x=25°. Now, to figure out y, we have to look at angle BXA. In this case, 5y=90°. y=18°. So, x=25° and y=18°. Hope this explanation helps!
how do simplify -15.6/-4
Answers
The answer is -3.9
Step-by-step explanation:
Find the measures of the interior angles and please tell me all angles
Answers
Angle B = 48
An art student uses a roll of wallpaper to decorate two gift boxes. The student will use 3 1 3 yards of paper for one box and 5 6 yard of paper for the other box. The paper must be cut into pieces that are 1 6 yard long. How many pieces will the student cut to use for the gift boxes?
Answers
Answer:
25 pieces
Step-by-step explanation:
Given
[tex]Box_1 = 3\frac{1}{3}[/tex]
[tex]Box_2 = \frac{5}{6}[/tex]
[tex]Pieces = \frac{1}{6}[/tex] yard
Required
Determine the number of pieces
First, we need to determine the total yards of paper
[tex]Total = Box_1 + Box_2[/tex]
[tex]Total = 3\frac{1}{3} + \frac{5}{6}[/tex]
[tex]Total = \frac{10}{3} + \frac{5}{6}[/tex]
[tex]Total = \frac{20 + 5}{6}[/tex]
[tex]Total = \frac{25}{6}[/tex]
Divide by the size of the pieces to get the number of pieces
[tex]Number = Total/Pieces[/tex]
[tex]Number = \frac{25}{6} / \frac{1}{6}[/tex]
[tex]Number = \frac{25}{6} * \frac{6}{1}[/tex]
[tex]Number = \frac{25}{1} * \frac{1}{1}[/tex]
[tex]Number = 25[/tex]
4. Show that Polygon A is congruent to Polygon B.
Answers
A is equivalent to B because if you flip or reflect A, then translate A it overlaps.
1. Draw A's reflection below it: as if you flipped it.
2. Take the drawing and draw it mirroring B
3. Once you draw the second drawing if you moved, translated, it it would fit over the shape of the B polygon.
Which expression is equivalent to −3/4÷(−8/12)?
−3/4×8/12
3/4×(−8/12)
−3/4×12/8
3/4×12/8
NEED HELP ASAP!
Answers
Answer:
3/4 × 12/8
Step-by-step explanation:
The answer would be 3/4 × 12/8 because when multiplying two negatives, they become a positive. Also, when dividing fractions, you switch the denominator and numerator of the last fraction and multiply the first fraction by the new second fraction. (Example: In 1/2 ÷ 5/6, 5/6 becomes 6/5. Then, you multiply 1/2 by 6/5.)
The equivalent of the given expression will be the expression 3/4 x 12/8. Then the correct option is D.
What is an equivalent expression?The equivalent is the expression that is in different forms but is equal to the same value.
Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.
The expression is given below.
⇒ −3/4 ÷ (−8/12)
Simplify the expression, then the equivalent expression will be
⇒ −3/4 ÷ (−8/12)
⇒ −3/4 x (−12/8)
⇒ 3/4 x 12/8
The equivalent of the given expression will be the expression 3/4 x 12/8. Then the correct option is D.
More about the equivalent link is given below.
https://brainly.com/question/889935
#SPJ2
Morgan scored 41 points in 3 games. How many points did she score in 1 game?
Answers
Answer:
She is averaging 14 points a game, or close to it.
Points in 1 game: 13.67
I guess you should round it
im trying to do a 1k point give away so there gonna be a bit of spam sorry mods. plez forgive me ;-;
Answers
Answer:
hi,its ok ur not bothering us:)
Two groups of hikers take two different routes from Camp A to Camp B. The first group leaves Camp A at 9:00 AM and takes a route that is 30 miles longer than the second group's route. The second group leaves Camp A at 1:00 PM. Their hiking speed is 2 mph slower than the first group's speed. Both groups reach Camp B at 4:00 PM. How fast does each group hike?
Answers
Answer: first groups hiking was 6mph, second groups was 4mph.
Step-by-step explanation:
Speed of first group = 6 mph
Speed of second group = 4 mph
We are told that first group leaves Camp A at 9:00 AM.If the normal distance between camp A and camp B is x, then the total distance this first group covers will be;
(x + 30) miles
This first group reached camp B at 4pm. This is 7 hours from when they left camp A.Thus, their speed is;
v1 = (x + 30)/7 mph
We are told that;Second group left by 1pm and got to camp B by 4pm. This is 3 hours.
We are also told that their speed was 2mph slower than the first group.Thus;
v2 = ((x + 30)/7) - 2 mph
Since normal distance from camp A to camp B is x. Then this second group will have;x = ((x + 30)/7) - 2) × 3
Since;
distance = speed × time
Divide both sides by 3 to get;
x/3 = ((x + 30)/7) - 2)
Multiply through by 21 to get;
7x = 3(x + 30) - 42
7x = 3x + 90 - 42
7x - 3x = 48
4x = 48
x = 48/4
x = 12 miles
Thus, putting 12 for x in V1 equation gives;
v1 = (12 + 30)/7
v1 = 42/7
v1 = 6 mph
Similarly;
v2 = ((12 + 30)/7) - 2
v2 = (42/7) - 2
v2 = 6 - 2
v2 = 4 mph
Read more at; brainly.com/question/18642827
You start at (-2,-4). You move down 1 unit and right 6 units. Where do you end
Answers
Answer:
(4,3)
Step-by-step explanation:
moving down 1 unit makes the point (-2,3)
moving 6 units to the right makes the point(4,3)
Ok last one my sis needs help on lol again I’m doing my homework and cAnT HeLp rn pls just help lol
Answers
Answer:
Part A: 15.55
Part B: 0.45
Step-by-step explanation:
Part A:
The giraffe is already 14.29 so when you add the length of its tongue (equation 14.29 + 1.26) then that would equal 15.55
Part B:
The giraffe is trying to eat some leaves that are 16 feet above the ground so you would subtract 16 - 15.55 to see how much farther it needs to reach, so the answer is 0.45.
(This is what I got, I apologize if I get this wrong. If I messed up on something, someone please correct me, thank you and have a nice day!)
Answer:
Part A: It can reach 15.55 feet.
Part B: Need to reach 0.45 feet farther to get to the leaves of a 16 feet tree.
Step-by-step explanation:
giraffe + tongue = reach
14.29 + 1.26 = 15.55
tree height - giraffe reach = extra distance
16 - 15.55 = 0.45 feet
Explain how to find the sum −8.46+5.31.
Answers
Answer:
-3.15
Step-by-step explanation:First you must line them up
- 8 . 4 6
+ 5 . 3 1
-------------------
Then you add
- 8 . 4 6
+ 5 . 3 1
-------------------
3 . 1 5
You get three becuase -8 + 5 is 3.
Hope this helps :)
35+7x=-3(-5-4x) what is the answer?
Answers
Answer:
-5x=-50
x=-10
Step-by-step explanation:
7723 as a fraction what is the answer
Answers
Answer:
7723 as a fraction is 7723/1
Step-by-step explanation:
What happens in the falling action of Ares god of war?
Answers
Answer:
In the Ancient World, the most powerful forces that shaped human destiny were personified by polytheistic religions in the form of Gods. In this way, the ancients believed that they could influence impersonal forces and powers. One of these was war. In the past, conflict was a constant fact of everyday life, and peace was rare. This is what made the Greek God of War, Ares, so influential in mythology and religion.
The origin of the myth of Ares
Ares was the son of Zeus and Hera, was regarded as one of the Twelve Olympians, and was one of the major deities of the Greek world. The etymology of the name Ares means curse or ruin. Unlike many other religions, such as Roman mythology, the Greeks did not worship war. They were very ambivalent about the God who personified for them the power and bravery needed for victory in war. For the Greeks, he represented the worse in war and conflict
find the distance between the points given (3,4) (6,8)
Answers
Answer:
The answer is 5
Step-by-step explanation:
Hope this helps
Please help ASAP!! Geometry
Answers
Answer:
Step-by-step explanation:
Vertical Angles are two angles whose sides form two pairs of opposite rays (straight lines).
So, looking at the chart in the picture and description ^:
1) Corresponding
2) Vertical
3) Alternate Exterior
4) Alternate Interior
5) Consecutive Interior
Can't clearly read the numbers for 6 and 7.
Answer:
Step-by-step explanation:
-\dfrac23p+\dfrac15-1+\dfrac56p−
3
2
p+
5
1
−1+
6
5
p
Answers
Answer:
p=3
Step-by-step explanation:
5 +5 =10 p÷3(4+6) =py
=p3
Marcy is drawing a stop sign to scale using letters that are 5 centimeters tall. What should be the width of her drawing of the stop sign?
Answers
Answer:
20 centimeters
Step-by-step explanation:
i.e 5 x the number of characters in the stop sign.
Given m||n, find the value of x.
+
m
1579
Answers
Answer:
157°
Step-by-step explanation:
X is the alternative angle or 157°
Hence, x=157°