Select the reason that best supports statement 5 in the given proof.
A.Substitution
B. Multiplication
C. Addition property of equality
D.Transitive property
Answers
The reason that best supports statement 5 in the given proof is Substitution.
What is Number system?A number system is defined as a system of writing to express numbers.
In the given question -
The first reason is given in the question itself.
The second reason is given by congruency.
The third reason is again given in the question.
The fourth reason is also given.
Finally, in the fifth reason, we can conclude that it is substitution because by the second reason m of ∠A is congruent to m of ∠B. So, if we remember the substitution we can assign the value of m∠A to the value of m∠B because both are congruent by the second reason.
Therefore, the reason that best supports statement 5 in the given proof is Substitution.
To learn more on Number system click:
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Related Questions
The prize of a television was reduced from $250 to $200.
By, what percentage was the price of the telivision
reduced?
F 20%
G 25%
H 80%
J 50%
Answers
Answer: F 20%
Step-by-step explanation:
50 is 20% of 250
In Canada, 92% of the households have televisions.
72% of households have televisions and internet access.
5% have neither. Use appropriate probability notation to answer the following:
A) create a relative frequency table of this situation.
Answers
Answer: Let "T" denote households with television
"I" denote households with internet
and "N" denote households with neither of these.
Since P(N) = 0.05 then it means P(TuI) = 0.95. We know from set theory that P(TuI) = P(T) + P(I) - P(TnI). Thus,
0.95 = 0.92 + 0.72 - P(TnI) ==> P(TnI) = 0.69. This means P(T/I) = P(T) - P(TnI) = 0.92 - 0.69 = 0.23, and P(I/T) = P(I) - P(TnI) = 0.72 - 0.69 = 0.03. So,
a)
House Probability
Nothing 0.05
Only television 0.23
Only internet 0.03
Both 0.69
b) P(internet but no television) = P(only internet) = 0.03
c) P(internet | there is television) = (By Bayes' Rule) P(TnI) / P(T) = 0.69 / 0.95 = 0.726 (rounded to 3 decimal points)
d) P(internet | there is no television) = (By Bayes' Rule) P(I/T) / P(T') = 0.03 / 0.08 = 0.375
e) From (c) and (d) ==> In Canada, it is (0.726/0.375 ≈ 2 ) twice more likely that if there's television in the household, then there is internet.
Step-by-step explanation:
Evelyn swimming pool requires 3 quarts of a bacterial cleaning agent five times a month how many gallons of this agent will Evelyn use during June July August?
Answers
Answer:
180 litres
Step-by-step explanation:
Quart: 1.1 litre
3 quarts used every 1 time its cleaned
cleaned 5 times 1 month
5 x 3=15
12 months in a year 15 x 12 = 180
What does 9. 692 = 4= to sorry I'm bad at math I know
Answers
you can do it, your our future engineer or doctor
Step-by-step explanation:
HOPE IT CAN HELP ;))
Determine if the sequence is arithmetic 7,9,11,13,15…
If so, find the common difference
b. What would be a30
Answers
Answer:
65
Step-by-step explanation:
a. since we add 2 to each term in this sequence, the difference between one term and the next is a constant. therefore, it's an arithmetic sequence
b. in this case, a = 7 and d =2
the equation would be a30 = 7 + (30-1)2
solving this gives us 65
welp. this is 9marks question
Answers
Answer:
4
Step-by-step
Alonso is buying a new phone for $ 870
on the installment plan. He must put
down 15% and pay monthly payments
for one year. How much is each monthly
payment?
A.$13.05
B.$83.38
C. $61.63
D. $10.77
Answers
Answer:
A
Step-by-step explanation:
1. Get 15% of 870:
First, get 10 percent of 870, which is 87, then half that, which is 43.5
Get the 87 and add the 43.5 on it, to get the full 15%, you end up with $130.5, which is the monthly payment.
(Only problem is that im pretty sure you put an extra 0, because if you just wrote 87 dollar's then you would've got 13.05, the actual answer, but if you add an extra 0 then you end up with 130$, just to let you know.)
Solve algebraically for x 3600 + 1.02x < 2000 + 1.04 x
Answers
Answer:
x>80000
Step-by-step explanation:
3600+1.02x<2000+1.04x=x>80000
What is the slope of this line? Enter your answer as a whole number or a fraction in simplest form in the box.
Answers
To find the slope, we will use the slope formula and two points that are on the line. You can choose any two points as long as they are on the line.
Point 1 = (0, -2)
Point 2 = (-2, 0)
Slope-Formula: (y2 - y1) / (x2 - x1)
Now that we know our two points and the slope formula, all that's left to do is plug the points into the formula and simplify.
(0 - - 2) / (-2 - 0)
(2) / (-2)
-1
The slope of the line is -1.
Hope this helps!! :)
Answer: -1
Step-by-step explanation:
-6/6= -1
Find the inverse function in slope-intercept form (mx+b)
f (x) = x - 16
f^-1 (x) =
Answers
Answer:
[tex] \rm y = x + 16 [/tex]
Step-by-step explanation:
A function is given to us and we need to write the inverse of the function in slope intercept form . The given function is ,
[tex]\rm\implies f(x) = x - 16 [/tex]
Let ,
[tex]\rm\implies y = f(x)[/tex]
So that ,
[tex]\rm\implies y = x - 16 [/tex]
Interchange x and y ,
[tex]\rm\implies x = y - 16 [/tex]
Solve for y ,
[tex]\rm\implies y = x + 16[/tex]
Now replace ,
[tex]\rm\implies y = f^{-1}(x) [/tex]
We have ,
[tex]\rm\implies f^{-1}(x) = x+16 [/tex]
And in slope intercept form ,
[tex]\rm\implies \boxed{\pink{\frak {y = x +16}}}[/tex]
URGENT HELP I NEED THE ANSWERS TO THIS WORKSHEET
Answers
Answer:
As follows,
Step-by-step explanation:
The sum of the angles of any triangle is 180.
∠U=69
∠D=42
∠E=35
∠F=35
∠G=55
∠H=45
∠I=45
∠J=15
∠M=120
∠K=15
∠L=75
∠Q=55
∠R=55
∠S=42
∠T=42
∠P=21
∠O=69
∠N=21
∠A=60
∠B=60
∠C=60
A person flying a kite has released 176 m of string . the string makes an angle of 27 degrees with the ground . how high is the kite? how far away is the kite horizontally? answer to the nearest meter
Answers
Answer:
80 m High and 157 m away
Step-by-step explanation:
Cos(27)=x/176
x= 156.8 m
Sin(27) = y/176
y = 80
Need help with this tricky image
Answers
Explanation: shoes are worth 10. The boy is worth 5 and the paper 4
I don't get it please help and show me how to do it
Answers
Answer:
Step-by-step explanation:
You plug in the given values and compute s:
s = ut + 1/2 at^2
s = 10*1/2 + 1/2*-2*(1/2)^2
= 5 + -1*1/4
= 4 3/4.
A rectangle prism has a volume of 72 cubic ft.³ it has a height of 4 feet and the width of 3 feet what is the length and feet of the prism?
Answers
Answer:
volume = height × length ×width
volume =18×14×2
volume =504ft³
Step-by-step explanation:
answer 504ft3
Which of the following are not polynomials?
Answers
Answer:
A, B, D
Step-by-step explanation:
A polynomial is a 1 term or a sum of terms.
Each term is a number multiplied by 0 or more variables.
A term can never have a variable in the denominator or in any root. A term cannot have the logarithm of a variable or any trig function of a variable.
Answer: A, B, D
Help I have a C in math. I don't understand this Alegbra. If you get it right then I will give you Brainlist!
Answers
One way that personally helps me remember the exponents properties is to imagine it written out with multiplication:
x^4 is the same as
x*x*x*x
And raised to 2 is the times itself a total of 2 times
(x*x*x*x) (x*x*x*x)
For a total of x^8. Or in other words, we can say we can “distribute” the double exponents.
x^8 times x^3 is
(x*x*x*x*x*x*x*x) * (x*x*x)
There are a total of 11 x’s or x^11
Another property when exponents are multiplied together is that they are added.
so
x^8 * -7 * x
is the same as
x^8 * x^3 * -7
And the answer is
x^11 * -7 =
-7x^11
Hope this helps
Solve by elimination, ordered pair also
4x + 6y = 12
6x + 9y = 12
Answers
[tex]\large\underline{\sf{Solution-}}[/tex]
Solving by Eliminating method:
[tex]\sf \leadsto 4x + 6y = 12\:\:- - - (i)[/tex]
[tex]\sf \leadsto 6x+9y = 12 \:\: - - -(ii)[/tex]
Step 1: Multiply Eqⁿ (I) by 3 and Eqⁿ (ii) by 2 to make the coefficients of y equal. Then we get the equations.
[tex]\sf \leadsto 12x + 18y = 36\:\: - - - (iii) [/tex]
[tex]\sf \leadsto 12x + 18y = 24\:\:- - - (iv)[/tex]
Step 2: Subtract Eqⁿ (iii) from Eqⁿ (iv) , we get
[tex]\sf \leadsto (12x + 18y)-(12x + 18y) = 36-24[/tex]
[tex]\sf \leadsto 0 =12, Which is a false statement. [/tex]
Therefore, the pair of equations has no solution.
Hope this helps!!
SOMEBODY PLEASE HELP ME!!!!!!!
Solve each system of equations
-3x + 3y =4
-x + y =3
Answers
-3x + 3y = 4
-x + y = 4/3
Thus, 3 = 4/3, which is obviously wrong. Pls mark me as brainliest!
What is the ratio of vowels to consonants?
MATHEMATICS
Answers
Answer:
3 to 10
Step-by-step explanation:
Vowels are a, e, i, o, u, sometimes y
Vowels + consonant = Total letters
6 + consonant = 26
vowels to consonants = 6 to 20 = 3 to 10
Aashi buys
2 packets of bread rolls costing £1.40 for each packet
1 bottle of ketchup costing £1.80
3 packets of sausages
Aashi pays with a £10 note.
She gets 45p change.
Work out the price in pounds (£) of one pack of sausages.
(you will get brainliest) !! :D
Answers
Ketchup = K
Sausages = S
2BR +1K + 3S = £10 - 45p
2BR + 1K + 3S = £9.55
2BR = 1.40 x 2 = £2.80
1K = £1.80
£2.80 + £1.80 + 3S = £9.55
3S = £9.55 - £2.80 - £1.80
3S = £4.95
£4.95 / 3 = BR
S = £1.65
The answer is £1.65 for one pack of sausages
Price of one unit Sausage = 1.65
Sum ( Price x Quantity) = Total Expenditure
Price of Bread x Quantity of Bread + Price of Ketchup x Quantity of Ketchup + Price of Sausage x Quantity of Sausage
Total Expenditure Value = 10 - 0.45 = 9.55
Let price of sausage = P
Therefore, 2 (1.40) + 1 (1.80) + 3 P = 9.55
2.80 + 1.80 + 3 Ps = 9.55
4.6 + 3 P = 9.55
3P = 9.55 - 4.60 = 4.95
P = 4.95 / 3 = 1.65
To learn more, refer https://brainly.com/question/16910784?referrer=searchResults
HELLO I NEED A MATH EXPERT RIGHT NOW TO HELP ME WITH SOME MATH STUFF
IF YOUR NOT A MATH EXPERT THEN DONT ANSWER
Answers
Answer:
what's your question
Step-by-step explanation:
what's your question
ANSWER
7y-20=3y+12
= 7y-20+20= 3y + 12 + 20
= 7y = 3y + 32
= 7y -3y = 3y + 32 - 3y
= 4y = 3y + 32 -3y
= 4y =32
= y = 32/4
= y = 8
Thank you :).....
Your friend is absent from class and asks you to explain what a function is how would you explain
Answers
Answer: A function is the equation used to solve a variable, usually uses X and Y.
i.e. Y = 23x -9
Urgent.. Please somebody help me with this it due by tomorrow
Answers
3x-2y=4
2x+3y=7
X=?
Y=?
Plz step by step
Answers
Answer:
x= 2
y= -1
Step-by-step explanation:
Simultanous equation(elimination method)
STEP 1: multiply the number near x with the opposite equation.
in this case in equation 1, three is near x so u multiply it with the second equation.
2(3x-2y=4)
3(2x+3y=7)
you get 6x-4y=8
6x+9y=21
STEP 2: Change the sign ONLY IN SECOND equation to its opposite sign
6x-4y=8 <-------- 1st equation
6x+9y=21 <-------- 2nd equation
SO WE CHANGE THE SIGN IN SECOND EQUATION TO: -6x-9y= -21
STEP 3: Now do the elimination part and calculation
+6x-4y=8
-6x-9y= -21
___________
0x-13y= 13
NOTE: X IS ALWAYS CANCELLED IF ITS NOT THERE'S PROBABLY A MISTAKE
STEP 4: Solve for y
now that x is cancelled we have to solve for y.. to do this take the eliminated equation in step 3 and solve for y
-13y= 13
y= 13/-13
y= -1
STEP 5: We have officially solved for y.. now we need to bother about x.. to solve for x take the first original equation IN THE QUESTION and substitiute( replace) y value in equation
ORIGINAL EQUATION: 3x-2y=4
3x-2(-1)=4
3x-2=4
x= 6/3
x= 2
NOTE: YOU CAN ALSO TAKE THE SECOND EQUATION BUT ITS EASIER WHEN YOU TAKE THE FIRST ONE. EITHER WAY YOU MUST GET THE SAME ANSWER
Answer:
x=2, y=1
Step-by-step explanation:
3x-2y=4
2(3x-2y)=2(4)
6x-4y=8
2x+3y=7
3(2x+3y)=3(7)
6x+9y=21
6x+9y-(6x-4y)=21-8
6x+9y-6x+4y=13
13y=13
y=13÷13
=1
3x-2y=4
3x-2(1)=4
3x=4+2
=6
x=6÷3
=2
Hence, x=2 and y=1.
help pls. i’ll give brainliest
Answers
Answer:
last 2 I think
Step-by-step explanation:
okokokokokipullup
For a standard normal distribution, find:
P(z < 2.51) =
Answers
Answer:
P(z < 2.51) ≈ 0.994
Step-by-step explanation:
P(z < 2.51) = normalcdf(-1e99,2.51,0,1) = 0.9939634253 ≈ 0.994
The temperature at 10:00 a.m was -3 and increased 2.25 each hour for the next 5 hours.What was the temperature at 3:00pm?
Answers
9514 1404 393
Answer:
8.25°
Step-by-step explanation:
The increase over 5 hours was ...
(5 h) × (2.25 °/h) = 11.25°
When that is added to the starting value, the ending value is ...
-3° +11.25° = 8.25°
The temperature at 3:00 pm was 8.25°.
17) A golfer made par on 13 of 18 holes. Rounded to the nearest tenth
on what percent of the holes did he make par? *
16%
25.3%
72.2%
73%
Answers
Answer:
72.2
Step-by-step explanation:
13/18
West Company borrowed $48,000 on September 1, Year 1 from the Valley Bank. West agreed to pay interest annually at the rate of 9% per year. The note issued by West carried an 18-month term. Based on this information the amount of interest expense appearing on West's Year 1 income statement would be:
Answers
Answer:
$1,440
Step-by-step explanation:
Given:
Borrowed amount by west company from valley bank = $48,000
Interest is paid annually = 9% per year
Time period = From 1st September to 31st December
= 4 months
The note issued by West carried an 18-month term.
Therefore,
Interest expense = Principal amount × Rate × Time period
= $48,000 × 9% × (4 ÷ 12)
= $48,000 × 0.09 × (1 ÷ 3)
= $1,440
Therefore, the amount of interest expense that will be reported on West's income statement for Year 1 is $1,440.
