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.
Read more at; https://brainly.com/question/11357763
Related Questions
Which of the following ratios is not 4:9
8 : 18
12 : 36
20 : 45
16 : 36
Answers
Answer:
I think 12 : 36 I not so sure though
1.) Solve for c:
4c + 5 > -c-5
Answers
Answer:
Step-by-step explanation:
Is (0,1) , (1,3) , (2,5), (3,7) a function?
Answers
Answer:
Yes it is a function.
use you can try out the Vertical Line test which states that if your line intersects repeatedly it is not a function.
Every x-value is paired with a y-value. If the x-value is being paired with more than one y-value it does not pass the test.
All these values you had listed pass the vertical line test.
Hope this helps!
Step-by-step explanation:
Farmer Phil needs to treat a field with potash and nitrogen. He knows he needs 308 pounds of potash and 330 pounds of nitrogen. He can use Grow Rite brand and Great Green Brand. Grow Rite has 4 pounds of potash and 5 pounds of nitrogen per bag. Great Green has 7 pounds of potash and 6 pounds of nitrogen per bag.
Answers
Answer:
The number of bags of Grow Rite brand = x = 42 bags
The number of bags of Great Green brand = y = 20 bags.
Step-by-step explanation:
The number of bags of Grow Rite brand = x
The number of bags of Great Green brand = y
The equation is given as:
4x + 7y = 308....... Equation 1
5x + 6y = 330....... Equation 2
Using Elimination method.
Multiply Equation 2 by the coefficient of x in Equation 1 and Multiply Equation 1 by the coefficient of x in Equation 2
4x + 7y = 308....... Equation 1 × 5
5x + 6y = 330....... Equation 2 × 4
20x + 35y = 1540..... Equation 3
20x + 24y = 1320....... Equation 4
Subtract Equation 3 from Equation 4
11y = 220
y = 220/11
y = 20 bags
4x + 7y = 308....... Equation 1
4x + 7(20) = 308
4x + 140 = 308
4x = 308 - 140
4x = 168
x = 168/4
x = 42 bags
The number of bags of Grow Rite brand = x = 42 bags
The number of bags of Great Green brand = y = 20 bags.
Anybody want free brainliest and 15 points? Just answer this question for me pls
Answers
Answer:
n= -16 :))
Step-by-step explanation:
Answer:
-16
Step-by-step explanation:
confusing
oof sorry if this is wrong
hope it helps tho
Meryl needs to cut down 10.5 trees for every 5 cabins she builds.
Answers
Answer:
6.3, 14.7
Step-by-step explanation:
10.5 tress for 5 cabins, using 10.5/5 (2.1) we can assume there is 2.1 trees per cabin.
3*2.1= 6.3
7*2.1=14.7
Answer:
the answers are 6.3 and 14.7. Put the 6.3 beside the 3 in the table and put the 14.7 beside the 7 or it'll be counted as incorrect.
Jordan can ride her skateboard 75 meters in 30 seconds. How long will it take Jordan to ride her skateboard 1,500 meters? Solve on scrap paper and enter your answer on Zearn. meters seconds 75 30 It will take Jordan seconds to ride her skateboard 1,500 meters.
Answers
Answer:
20 minutes
Step-by-step explanation:
1x + 2 - 3 = 8
what is x?
Answers
Answer:
x= Multiplication
Step-by-step explanation:
1 x +2 -3 =8
Answer:
x = 9
Step-by-step explanation:
Hope this helps
Helpppp!! I don't understand this??????
At seven different restaurants, Rachel found that house salads cost an average of $3.80. If six of the restaurants priced house salads at $3.00, $3.45, $4.15, $4.60, $4.65, and $2.80, how much did a house salad cost at the other???????
Answers
Answer:
$3.77
Step-by-step explanation:
First, add all of the numbers together:
$3.00+$3.45+$4.15+$4.60+$4.65+$2.80=22.65
Next, divide that number by the number of numbers:
22.65/6=3.77
<3
Giovanni went to Los Angeles, California, for the summer to visit his cousins. He used a map of bus routes to get from the airport to his cousin’s house. The distance from the airport to his cousin’s house is 56 km. On his map, the distance is 4 cm. What is the scale factor?
Answers
What is the equation of the line that passes through the point (-4,-2) and has a slope of -1/2
Answers
Answer: y=-1/2x-4
Step-by-step explanation:
If you use point slope formula you get
y+2=-1/2(x+4)
simplify that in y=mx+b and you get
y=-1/2x-4
The least common multiple of two numbers is 60, and one of the numbers is 7 less than the other number. What are the numbers? Complete the explanation. The two numbers are . 60 is a multiple of each of its factors. The factors with a difference of 7 are , and their LCM is 60.
Answers
Answer: 5 & 12
will give you brainlyist pls help
Answers
Intro:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
The quickest way to do this is to look how much it goes down and then how much it goes left. This is called rise over run. So the line goes 2 down then left 3 to get from one perfect point to another.
So the answer is Choice D. It went down 2 so it's negative.
There were 54 students in the school choir for a concert the music teacher arranged the students in six rows with the same number of students in each row the choir saying seven songs at the concert which of these shows how many students were in each row math question
Answers
Answer:
9 students in each row
Step-by-step explanation:
Given : 54 students, arranged in 6 rows (with equal students), singing 7 songs.
No of students in one row x No of rows = Total students
So, No of students in one row = Total students / No of rows
No of students in each row = 54 / 6 = 9
15 blank CDs for $5; 45 blank CDs for $15
Answers
Answer:
3 cds for 1 dollar
Step-by-step explanation:
Answer:
for every 15 blank cds they cost 5 dollars
Step-by-step explanation:
Answer the following questions based on this word problem:
The Beck family is planning on renting a car for their vacation. The two rental car companies have
different pricing plans.
Company A is $0.10 per mile and $25 a day.
Company B is $0.05 per mile and $40 a day.
Let x represent the number of miles and y represents the cost. They are only renting the van for 1 day.
Answers
Answer:
Step-by-step explanation:
A: $0.1(x) + 25(y) = x + 25
B: $0.05(x) + $40(y) = x + 40
Because they didn't give a certain amount of miles traveled, we have to go with we do know.
**this is probably wrong.
help please !
10•f(7)+9•g(-1)=
Answers
Answer:
-1
Step-by-step explanation:
By the rule of the functions, 10.[f(7)] + 9[g(-1)] = -1
From the graph attached,
Blue curve represents the function 'f' and the purple curve represents function 'g'.
We have to find the value of the expression with the help of the graph attached,
For a function y = f(x), (x, y) is a point on the curve representing the values on x-axis and y-axis respectively.
Given expression → 10[f(7)] + 9[g(-1)]
Since, y = f(x)
Therefore, for x = 7 y-value will be,
y = f(7) = -1
Similarly, y-value of the function 'g' at x = (-1) will be,
y = g(-1) = 1
By substituting these values in the expression,
10.[f(7)] + 9.[g(-1)] = 10(-1) + 9(1)
= 10(-1) + 9
= -10 + 9
= -1
Therefore, 10.[f(7)] + 9[g(-1)] = -1 will be the answer.
Learn more,
https://brainly.com/question/24669122
simplify the fraction 15/45
Answers
Answer:
1/3 or .3333333.....
Step-by-step explanation:
Answer:
1/3
Step-by-step explanation:
you can divide both the numerator and the denominator by 5
15/5=3
45/5=9
then divide by 3 to both sides
hope this helps :3
if it did pls mark brainliest
What is 6 1/4 divide by 2
Answers
Answer:
3.125
Step-by-step explanation:
Answer:
3 1/8 or 3.125
Step-by-step explanation:
6 1/4
6/2 = 3
(1/4)/2 = 1/8 The denominator doubles to cut the value in half
Out of the 60 students on a school trip, 70 percent brought there lunch, and the rest brought money to buy lunch. How many students were buying lunch
Answers
Answer:
18 were buying lunch:)
Answer: 42/This should be the right answer since 42 should be 70 percent of 60.
Please please please help me I'm really confused and I don't understand it
Answers
2p-2-5x=-2(7-2x)
First, work on the parentheses. So the -2 on the outside as to be multiplied by the 7 , which gets -14 . Then you multiply the -2 by the 2x, which is 4x.
It will go from -2(7-2x) to -14+4x
But if the -14+4x looks too confusing, you can just switch them around to look “normal”. So it would be 4x-14 .
Now that we’re finished with one side of the problem, we’ll go to the other side.
On the left side , there are two variables, or letters. Because they are the same letter (p) all you have to do is add them together.
3p
-5p
+—-
-2p
And then just carry the -2 that was originally there , so it’s -2p-2
Now the equation is
-2p-2 = 4p-14
So we’re going to add 2p to both sides.
The -2p on the left cancels out, and the 4p on the right side becomes 6p
-2 = 6p-14
Next, you are going to want to isolate the variable. (Leave the letter by itself) so you add 14 to the -14 , so it can cancel out. (AND DO THE SAME ON THE OTHER SIDE)
So, you add 14 to the -2 on the left of the equation. Which comes out to 12.
12 = 6p
Lastly, divide the 6p , so you can get the letter on it’s own. And do the same on the other side.
12 divided by 6 is 2
2 = p
OR
p = 2
Jennifer is mixing orange concentrate and water to make orange
juice. The amount of orange concentrate is proportional to the
amount of water. Jennifer adds 12 cup of orange juice for every 3
cups of water. What is the constant of proportionality or the
relationship between cups of orange concentrate and cups of water?
Answers
What is the solution to the inequality below?
−x + 5< 20
Answers
Answer:
x>−15
Step-by-step explanation:
−x+5<20
Step 1: Subtract 5 from both sides.
−x+5−5<20−5
−x<15
Step 2: Divide both sides by -1.
−x
−1
<
15
−1
x>−15
Answer:
x>−15
Answer:
x>-15 would be the answer!
Step-by-step explanation:
In the equality −x + 5< 20, you want x to be by its self. First of all, you'll subtract 5 on both sides so now you will have -x<15. Now, you must get rid of the negative so divide -1 to both sides. Oh, looks like you will have to flip the symbol since you're dividing a negative. In the end, you'll have an answer of x>-15.
What are the coordinates of quadrilateral ABCD?
Answers
Answer:
the tops coordinates are A(0,6) B(4,6) C(6,4) D(2,4)
bottom A(0,3) B(2,3)C(3,2)D(1,2)
Step-by-step explanation:
Answer:
the tops coordinates are A(0,6) B(4,6) C(6,4) D(2,4)
bottom A(0,3) B(2,3)C(3,2)D(1,2)
Step-by-step explanation:
Write an inequality to determine when Apartment A will cost more than Aparment B: Johnny is searching for an apartment and has narrowed it down to two choices. Apartment A has a $300 security deposit and costs $800 each month. Apartment B has a $900 deposit and costs $500 each month.
Answers
Answer:
Apartment A will cost more than Aparment B after 2 months which means from the third month and above, Apartment A will cost more than Aparment B
Step-by-step explanation:
Write
Let the number of months be represented as y
Apartment A has a $300 security deposit and costs $800 each month.
$300 + $800 × y
300 + 800y
Apartment B has a $900 deposit and costs $500 each month
$900 + $500 × y
900 + 500y
An inequality to determine when Apartment A will cost more than Aparment B :
Apartment A > Apartment B
300 + 800y > 900 + 500y
300 + 800y = 900 + 500y
Collect like terms
800y - 500y = 900 - 300
300y = 600
y = 600/300
y = 2 months
Therefore Apartment A will cost more than Aparment B after 2 months which means from the third month and above, Apartment A will cost more than Aparment B
Evaluate the expression for x = 2, y = -3, and z = -5. *
2x + 3y + z
Your answer
Answers
2(2) + 3(-3) + (-5)
4 + (-9) + (-5)
4 + (-14)
-10
Answer is -10
2x + 3y + z = -10
Answer:
-10
Step-by-step explanation:
replace each letter with each number given, like shown below.
2(2)+3(-3)+(-5)
= 4+-9+-5
= -5+-5
= -10
Carlos buys a box of frozen flavored ice sticks. 2/5 of the ice sticks are blue raspberry. Of the remaining ice sticks, 1/3 are grape, and the rest are cherry. If there are 48 blue raspberry and cherry flavored ice sticks altogether, how many ice sticks total are in the box?
Answers
Given:
[tex]\dfrac{2}{5}[/tex] of the ice sticks are blue raspberry.
Of the remaining ice sticks, [tex]\dfrac{1}{3}[/tex] are grape, and the rest are cherry.
There are 48 blue raspberry and cherry flavored ice sticks altogether.
To find:
The total number of ice sticks.
Solution:
Let x be the total number of ice sticks.
[tex]\dfrac{2}{5}[/tex] of the ice sticks are blue raspberry.
Blue raspberry [tex]=\dfrac{2}{5}x[/tex]
Remaining raspberry [tex]=x-\dfrac{2}{5}x[/tex]
[tex]=\dfrac{3}{5}x[/tex]
Of the remaining ice sticks, [tex]\dfrac{1}{3}[/tex] are grape, and the rest are cherry.
Grape [tex]=\dfrac{1}{3}\times \dfrac{3}{5}x[/tex]
[tex]=\dfrac{1}{5}x[/tex]
Cherry [tex]=\dfrac{3}{5}x-\dfrac{1}{5}x[/tex]
[tex]=\dfrac{2}{5}x[/tex]
There are 48 blue raspberry and cherry flavored ice sticks altogether.
[tex]\dfrac{2}{5}x+\dfrac{2}{5}x=48[/tex]
[tex]\dfrac{4}{5}x=48[/tex]
[tex]x=48\times \dfrac{5}{4}[/tex]
[tex]x=60[/tex]
Therefore, the total number of ice sticks is 60.
Help plz I need help bad
Answers
Step-by-step explanation:
blur po yung pictures. ulitin mo nalang
Answer:
b
Step-by-step explanation:
it is the only one that makes sense
-4 (7/10) =
Plz tell me the answer fast plz
Answers
Answer with step-by-step explanation:
First, we need to do what's inside the parentheses. 7/10 = 0.7. Then, we do -4 x 0.7 = -2.8
Hope this helped!
Answer:
i think it's -2.8 i hope this helped! im not good at math.
Step-by-step explanation:
The fundamental theorem of algebra tells us how many zeros (including complex zeros) a polynomial function has.
True or False?
Answers
Answer:
IT´S TRUE!!!
Step-by-step explanation: