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
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
how do you evaluate cube roots and square roots( in simple words pls)
Answer:
To evaluate square roots, find the prime factorization. If all the exponents are even, then it is a square root! Just divide the exponents by 2, and multiply them together. To evaluate cube roots, find the prime factorization. If all the exponents are multiples of three, it is a cube root! Just divide the exponents by 3 and multiply them together.
Step-by-step explanation:
the volume of a cube is 1331 in .^3. how long is each side?
Each side of the cube is___ in. long.
Answer
11 inches
Step-by-step explanation:
No explanation.
Choose the best units (liters - l) or (milliliters - ml) to measure each of the following liquids.
The amount of liquid that would fill a test tube
The amount of mouthwash that would fill a travel-sized container
The amount of coffee that would fill a thermos
A ribbon 9 feet long is cut into two pieces. One piece is 1 foot longer than the other.
What are the lengths of the two pieces?
write the equation x+y=6y into standard form
Answer:
x - 5y = 0
Step-by-step explanation:
The equation of a line in standard form is
Ax + By = C ( A is a positive integer and B, C are integers )
Given
x + y = 6y ( subtract 6y from both sides )
x - 5y = 0 ← in standard form
Answer: x-5y=0
Step-by-step explanation:
x+y=6y
6y-y
X=5y
X-5y=0
Increases in snow levels are recorded with positive numbers. Decreases in snow levels are recorded with negative numbers. After a winter storm, the depth of the snow on Cherry Street was 10 \text{ cm}10 cm10, start text, space, c, m, end text. But then, the snow started melting at a rate of \dfrac{1}{3} \text{ cm} 3 1 cmstart fraction, 1, divided by, 3, end fraction, start text, space, c, m, end text per hour.
This question is Incomplete
Increases in snow levels are recorded with positive numbers. Decreases in snow levels are recorded with negative numbers. After a winter storm, the depth of the snow on Cherry Street was 10 cm. But then, the snow started melting at a rate of 1/3 per hour. What was the depth of the snow on Cherry Street after 3 hours?
Answer:
9 cm
Step-by-step explanation:
The depth of snow = 10cm
Rate of melting = 1/3 cm per hour
1 hour = 1/3 cm
3 hours = x cm
Cross Multiply
= 3 hours × 1/3cm = 1 hour × x cm
x cm = 3 hours × 1/3cm/1 hour
x cm = 1 cm
Hence in 3 hours, 1 cm of snow would have melted.
Therefore, the depth of the snow on Cherry Street after 3 hours is
10cm - 1 cm
= 9 cm
Solve the inequality. Q No. 1
-2(x - 5) < -x + 3
Answer:
x>7
Step-by-step explanation:
-2(x - 5) < -x + 3
-2x + 10 < -x + 3
-2x + x < 3 - 10
-x < -7
-x / -1 < -7 / -1
x > 7
Answer:
X < 7
Step-by-step explanation:
a What fractions can you find that are equivalent to 2/3?
Answer:
4/6
Step-by-step explanation:
The fraction 4/6 is equal to 2/3 when reduced to lowest terms. To find equivalent fractions, just multiply the numerator and denominator of that reduced fraction (2/3) by any integer number, i.e., multiply by 2, 3, 10, 30... 4/6 is equivalent to 2/3 because 2 x 2 = 4 and 3 x 2 = 6 6/9 is equivalent to 2/3 because 2 x 3 = 6 and 3 x 3 = 9
what is the solution to this equation?
A. x=-4
B. x= 100
C. x= 4
D. x=-100
Answer:
D. x = - 100Step-by-step explanation:
[tex]\bold{\dfrac x5=-20}\\{}\ \ ^{\cdot5\qquad\cdot5}\\\bold{\dfrac x5\cdot\dfrac51=-20\cdot5}\\\\\bold{x=-100}[/tex]
ILL GIVE BRAINLIST IF RIGHT ASAP
Answer:
Because the side lengths of the triangles are proportional.
Step-by-step explanation:
I took geometry.
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.
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.
What is 5 + 100 + 300,909,786
Answer:
300909891
Step-by-step explanation:
Answer:
300,909,891
Step-by-step explanation:
What is the value of x in the figure below? In this diagram, ΔABD ~ ΔCAD.
Answer:
D
Step-by-step explanation:
The triangles CDA and ADB are similar, thus the ratios of corresponding sides are equal, that is
[tex]\frac{CD}{AD}[/tex] = [tex]\frac{DA}{DB}[/tex] , substitute values
[tex]\frac{13}{x}[/tex] = [tex]\frac{x}{3}[/tex] ( cross- multiply )
x² = 39 ( take square root of both sides )
x = [tex]\sqrt{39}[/tex] → D
Answer:
D is the answer
Step-by-step explanation:
3/5 is equal to what in decimal form?
Answer:
.60
Step-by-step explanation:
what’s the simplified value of 12.4x(-6.3)
Answer:
-78.12
Step-by-step explanation:
Answer: u just divide the small number to the big number and add and get ur answer that is -78.12
Step-by-step explanation:
Someone please help me
a european made car has a 40 litter gas tank. gas costs $3.499 per gallon. How much does it cost to fill this car's gas tank?\
Search instead for a eurapean made car has a 40 litter gas tank. gas costs $3.499 per gallon. How much does it cost to fill this car's gas tank?\
Answer:
$36.9735831
rounded: $36.97
The book store manager keeps a chart of the number of books sold each week. How
many books were sold all together in weeks 2 and 4?
Book Store Sales
Week
Number of Books
1
2
3
4
1.412
1,531
2,050
1,785
Answer:
3315
Step-by-step explanation:
Given the data:
WEEK ________1 _____2______3______4
no of books __1412___1531 ___2050 ___1785
Number of books sold in weeks 2 and week 4
Books sold in week 2 = 1531
Books sold on week 4 = 1785
(1531 + 1784) = 3315
Kaelyn has 14 coins I have a value of $1.20. She only has dimes and nickels. How many nickels does Kaelyn have?
Answer:
10 dimes would be $1.00 and 4 nickels is $.20. That equals $1.20 and 14 coins.
Kaelyn has 4 nickels
gabrielle has $0.55 in dimes and nickels. She has 6 coins altogether. how many coins of each kind does she have?
the answer is 5 dimes and 1 nickel.
hope this helps <3
Answer:
4 = dimes and 2 = five cents
Step-by-step explanation:
Do these 3 side lengths form a right triangle? (Yes or no question): 39 ft, 32.5 ft, 48.5 ft
Answer: the answer is no
Step-by-step explanation:
no, it is not a right triangle
Step-by-step explanation:
39 square+32.5 square=48.5 square
1,521+1056.3=2, 352.3
2577.3=2352.3
it's not the same so the result it no
Which of the following equations represent linear functions?
y=4(2x)−3
x2+y=1
y=2x√
y=−2
Answer:
y = 4(2x) − 3 y = −2Step-by-step explanation:
Given functions:
y = 4(2x) − 3 x² + y = 1 y = 2√ xy = −2Linear functions have the form of
ax + by + c = 0 or y = mx + bTherefore functions 1. and 4. are linear functions, the other two aren't
Of the 1200 responded to a survey, 456 claimed to be worried about money. What is the likelihood that a person selected at random will not be worried about money?
If and represent rational expressions and b0 and y0, what is true of their product? Select three options.
The product is equivalent to .
The product is a rational expression.
The product is equivalent to .
The product is the ratio of ax and by.
The product is equivalent to .
Answer:
B,C,D
Step-by-step explanation:
i took the test
5. Simplify the expression
-4(2x - 3)
ASAP NEED HELP PLS
Answer:
-8x + 12
Step-by-step explanation:
It is asking us to simplify. Therefore, we multiply the terms. -4(2x - 3) =
- 8x + 12
Answer:
-8× + 12
Step-by-step explanation:
-4x (2x - 3) simplify
Apply the distributive property
-4 (2x) - 4 × -3
multiply 2 by -4
-8x -4 × -3
multiply -4 by -3
= -8x + 12
At the movie theatre, they give out a free drink to every 75th customer and a free bag of popcorn to every 30th customer. On Monday 3,000 customers came to the theatre. How many people received both free items?
PLEASE HELP I WILL GIVE YOU 40 POINTS!!!! make sure you 100 percent corect!
Answer:
number 1 answer
a saying you have to add all the w's
b saying that you have to add 2w with 2w
c saying it is the simpliyed answer
number 2 answer
a. 2w + 20 + 2w
b. 4w + 20
number 3 we are unable to answer
Step-by-step explanation:
Enter the values of h and k so that y = x2 + 6x + 10 is in vertex form.
y = (x +
)2 +
Answer:
y = (x + 3)^2 + 1
Step-by-step explanation:
100% on edge
Have a nice day :]
The equation in vertex form is [tex]y = (x + 3)^2 + 1[/tex], and the values of h & k are -3 and 1
What is the vertex form?The vertex form of an equation is a quadratic equation, written in the form of a parabola
The equation is given as:
[tex]y = x^2 + 6x + 10[/tex]
Write out the constant
[tex]y = (x^2 + 6x) + 10[/tex]
Take the coefficient of x
[tex]k = 6[/tex]
Divide by 2
[tex]k/2 = 3[/tex]
Square the expression
[tex](k/2)^2 = 9[/tex]
So, we have:
[tex]y = (x^2 + 6x + 9 - 9) + 10[/tex]
Rewrite as:
[tex]y = (x^2 + 6x + 9) -9+ 10[/tex]
[tex]y = (x^2 + 6x + 9) + 1[/tex]
Express as a perfect square
[tex]y = (x + 3)^2 + 1[/tex]
Hence, the equation in vertex form is [tex]y = (x + 3)^2 + 1[/tex], and the values of h & k are -3 and 1
Read more about vertex forms at:
https://brainly.com/question/26738087
5(2x-3-4z) Use the distributive property to rewrite the expression above
Answer:
= 10x-15-20z
Step-by-step explanation:
5 x 2=10 add the x to the end
5 x 3=15
5 x 4= 20 add the z to the end
Hope this helps (: