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
6.) In the figure below, the distance from point B to point Dis 1.3, the distance
from point D to point A is 3.7, and B is the midpoint of segment AC. What is the
distance from D to C? (2 pts) *
А
DB
C
Answer:
answer is c
Step-by-step explanation:
The data in which table represents a linear function that has a slope of zero? I can’t figure it out
Answer:
A
Step-by-step explanation:
Think about it.
y = (0)x + b
this gives
y = b
therefore Y equals a single number regardless of the x value.
This behavior is shown in table A.
HELP PLEASE!!!!Decide if the function is an exponential function. If it is, state the initial value and the base.
y = -6.1 X 3^x
Answer:
Exponential Function; base = 3; initial value = - 6.1
Step-by-step explanation:
larry gets a 5% wage rise. his new wage is £252 per week. what was larrys wage before his wage rise
The raise was 5% which is 0.05 as a decimal.
For his new rate his original rate was multiplied by 1.05 ( original + 5%)
To find original amount, divide new amount by 1.05:
252 / 1.05 = 240
His original pay was £240
You can check by multiplying the original pay by 5% and adding:
240 x 0.05 = 12
240 + 12 = 252
Use the diagram below to solve. The m∠ 1 = 29x + 12 and the m∠ 5 = 15x - 8. All lines that appear parallel are parallel.
Answer:
Equation: (29x + 12)° + (15x - 8)° = 180°
x = 4
m∠ 5 = 52°
Step-by-step explanation:
Given:
m∠ 1 = 29x + 12,
m∠ 5 = 15x - 8
Since all lines that appear are parallel, therefore, opposite angles of the quadrilateral are congruent.
Therefore, m<1 = m<4 = 29x + 12
m<4 + m<5 = 180° (linear pair)
(29x + 12) + (15x - 8) = 180° (substitution)
The equation above is what we would use in solving for x. Let's solve for x:
29x + 12 + 15x - 8 = 180
Collect like terms
44x + 4 = 180
Subtract 4 from both sides
44x = 180 - 4
44x = 176
Divide both sides by 44
x = 176/44
x = 4
m∠ 5 = 15x - 8
Plug in the value of x
m∠ 5 = 15(4) - 8 = 60 - 8
m∠ 5 = 52°
Which statement is true about the function f(x)= x?
O The domain of the graph is all real numbers.
The range of the graph is all real numbers.
The domain of the graph is all real numbers less than or equal to 0.
The range of the graph is all real numbers greater than or equal to 0.
Answer:
D
Step-by-step explanation:
[tex]\sqrt{x}[/tex] only takes positive inputs and only outputs positive integers
WILL MARK BRAINLIEST!!
Answer:
The correct answer is the third one
plz mark me brainsliest!!!!!
PLZ HELP ASAP!!!!
In a recent survey, 62 students out of 100 choose corn as their favorite lunch item. If Washington has 3,800 students, how many students at
Washington would say corn is their favorite?
⚠️⚠️ What’s the slope and intercept B ⚠️⚠️
MARKING BRAINLIEST ASAP
Answer:
The slope is 1 and the y-intercept is 3.
Step-by-step explanation:
Find the value of X When 6-3x=5x-10x+6
[tex]6 - 3x = 5x - 10x + 6[/tex]
[tex]6 - x = - 5x + 6[/tex]
[tex]6 + 5x = 6 - 3x[/tex]
[tex]6 = 6 - 3x + 5x[/tex]
[tex]6 = 6 + 2x[/tex]
[tex]2x = 6 - 6[/tex]
[tex]2x = 0[/tex]
Product of two numbers is equal to 0 if at least one of them is 0 . Since 2 is not equal to 0 , x must be equal to 0 .
Which means :-
[tex]x = 0[/tex]
Therefore , the value of x = 0.
Amanda went to the salon for a haircut. It cost $50. She gave a 15% tip. What was the total cost?
Answer:
I believe she paid $57.50
Step-by-step explanation:
I turned the percent into a decimal (.15) then I multiplied the decimal by 50 and got 57.50.
Please help I’ll give brainiest!!
Answer:
x=-1
Step-by-step explanation:
You add like terms until you get your equation.
Answer:
x = -1
Explanation:
3(-1) - 10(-1) + 5 = 5(-1) + 17
-3 + 10 + 5 = -5 + 17
(add first before subtracting!)
12 = 12
So, the first answer, x = -1, is the correct answer.
Please mark me Brainliest! I need it to move onto the next level.
is 10227 a rational number?
Answer:
Yes, 10227 is a rational number
Step-by-step explanation:
10227 is whole number, an integer, a counting number. For a number to be rational it has to be a integer, a counting number, a whole number, a fraction, and a terminating decimal. A decimal that repeats like 3.3333 is also rational because it can be predicted. Pi or 3.14 is not predictable
-3b+2=4b+9
pls answer hahaha
A car needs 3 gallons of gas for 70 miles. How much gas would it need for 105 miles
Answer:
4.5 miles
Step-by-step explanation:
3/2=1.5 . 7-/2 = 35. 35 x 3 = 105 . 1.5 x 3 = 4.5
if a is parallel to B and E is parallel to F what is the value of y??
A.87
B.88
C.91
D.92
Answer: D. 92
Step-by-step explanation: (x+1)+(x-3)=180
2x-2=180
2x=182
X=91
(91)+1= 92
Vertical angles are equal than by the transitive property y is also equal to 92
Answer:
92
Step-by-step explanation:
Angle (x+1) is equal to 92 degrees, and x equals 91. If x equals 91, then (x+1) equals 92. (x+1) and angle y are equal angles, so therefore, you can determine that angle y is equal to 92 degrees.
-I got the question right on the test
Hope this helps!
tell me what dogs for 2 weeks the first week she earned $5.75 the second week she earn $12.50 how much money did TV earn the second week then the first week
Answer: $6.75
Step-by-step explanation:
If you subtract the 12.75 dollars from the second week to the 5.75 dollars from the first week, it added $6.75.
sorry if this is incorrect, the question is worded weird
Identify the phrase that relates to the study of geography.
A. a record of events over time and their meanings
B. the effect living and nonliving things have on each other
C. the creation and use of goods and services
D. the study of rocks and fossils
Answer:
D
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
I did the test in MIddle school and its in the lesson that's where I found it so next time ur stuck on a question look at the lesson then if your stilll stuck ask brainly k?
your 6 1/4 - year investment of 40,000 at 14% compounded quarterly is worth how much now?
Answer:
The investment of $40,000 is worth $94,529.80 now
Step-by-step explanation:
Compound Interest
It occurs when the interest is reinvested along with the principal, rather than paying it out. When it happens interest in the next period is then earned on the principal sum plus previously accumulated interest.
To calculate the final amount we use:
[tex]{\displaystyle A=P\left(1+{\frac {r}{n}}\right)^{nt}}[/tex]
Where:
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
The investment is for t=6 1/4 years = 6.25 years with an initial balance of P=40,000 at a rate r=14% = 0.14 compounded quarterly. Since there are 4 quarters per year, then n=4.
Applying the formula:
[tex]{\displaystyle A=40,000\left(1+{\frac {0.14}{4}}\right)^{4*6.25}}[/tex]
[tex]{\displaystyle A=40,000\left(1+0.035\right)^{25}}[/tex]
A=$94,529.80
The investment of $40,000 is worth $94,529.80 now
I really need help. It's with linear equations.
Answer:
-40
Step-by-step explanation:
pls give me brainleist
f(4) if f(x) = 2x - 2?
Answer:
7
Step-by-step explanation:
Wherever we see an x, we just input 4 to find f(4)
f(4) = 2(4) - 1 = 8 - 1 = 7
Hope this helps!!!!!!!
write 8/16 in fully reduced fraction
Answer:
1/2
hope this helps*
Step-by-step explanation:
divide the fraction by 8
Divide. Round to the nearest tenth if necessary. 11.4 divided by 19
Order the fraction and decimals from least to greatest.
0.78, 0.5, 3/5
Answer:
0.5, 3/5, 0.78
Step-by-step explanation:
Answer:
0.5, [tex]\frac {3}{5}[/tex], 0.78
Step-by-step explanation:
0.5= 50%
[tex]\frac {3}{5}[/tex]=60%
0.78=78%
Simplify 1/4 (15-6) + 3^3 divided by 12
Answer:
Step-by-step explanation:
Use PEDMAS method
P - Parenthesis
E - Exponents
D - Division
M - Multiplication
A- Addition
S -Subtraction
[tex]\frac{1}{4}(15-6) + 3^{3}[/tex] ÷ 12 = [tex]\frac{1}{4}*9+3^{3}[/tex] ÷ 12 {Operation inside parenthesis}
[tex]= \frac{1}{4}*9+27[/tex]÷ 12 {Exponents}
[tex]= \frac{9}{4} + \frac{27}{12}\\\\\\= \frac{9*3}{4*3} + \frac{27}{12} \\\\\\= \frac{27}{12} + \frac{27}{12}\\\\\\=\frac{27+27}{12}\\\\\\=\frac{54}{12}\\\\=\frac{9}{2}\\\\= 4\frac{1}{2}[/tex]
Answer:
the answer is c. 4 1/2
Step-by-step explanation:
I guessed c got it right
i need help with this!!!
Answer:
every option but the first one
Step-by-step explanation:
5 and 7 are verticals meaning they have the same angle degree
7 and 4 are supplementary angles meaning the sum of them = 180
1 and 7 are corresponding meaning they have the same angle degree
PLEASE HELP MEEEEEE!!!!!????
Answer:
thats the answer:
3805.34
Step-by-step explanation:
Answer:
3805.34
Step-by-step explanation:
Multiply by order form the right to the left and then add the final numbers to find the answer.
$260 worth of tickets were sold
Adult tickets cost $6.25 each
Child tickets cost $4
56 tickets were sold
Let x represent the number of adult tickets sold. Let y represent the number of child tickets sold.
Using the system of equations you found in the last problem, solve for the number of adult tickets sold.
Answer:
56=6.25x+4x
Step-by-step explanation:
Using the quadratic formula to solve 5x = 6x^2 – 3, what are the values of x?
Answer:
Correct Choice: Second Option
[tex]\displaystyle x=\frac{5\pm \sqrt{97}}{12}[/tex]
Step-by-step explanation:
Standard Form of Quadratic Function
The standard representation of a quadratic function is:
[tex]f(x)=ax^2+bx+c[/tex]
where a,b, and c are constants.
Solving with the quadratic formula:
[tex]\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
We have the following equation to solve:
[tex]5x = 6x^2 -3[/tex]
Rearranging all the terms to the left side:
[tex]6x^2 -5x- 3=0[/tex]
Comparing with the general form of the quadratic equation: a=6, b=-5, c=-3. Apply the formula:
[tex]\displaystyle x=\frac{-(-5)\pm \sqrt{(-5)^2-4(6)(-3)}}{2(6)}[/tex]
[tex]\displaystyle x=\frac{5\pm \sqrt{25+72}}{12}[/tex]
[tex]\boxed{\displaystyle x=\frac{5\pm \sqrt{97}}{12}}[/tex]
Correct Choice: Second Option