Answers
Answer:
see explanation
Step-by-step explanation:
a + b + c = 180 ( sum of angles in a triangle )
c + d = 180 ( adjacent angles are supplementary ), thus
a + b + c = c + d ( subtract c from both sides )
a + b = d
The reason for the value of a+b being equal to d is because adjacent angles are supplementary.
First and foremost, it should be noted that a triangle has three sides and the sum of the angles in the triangle will be equal to 180°.
Therefore, based on the information given in the question, the solution will go thus:
a + b + c = 180°
Note that c + d = 180° since adjacent angles are supplementary.
Therefore, a + b + c = c + d
Collect like terms
a + b + c - c = d
a + b = d
Therefore, the equation has been proven and showed that a + b = d.
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Related Questions
Devin wants to buy some t-shirts from a store in the mall. He has $20 in his pocket and the t-shirts cost $5 each. The situation can be modeled by the function F(t) = 5t, where F(t) represents the total cost of t t-shirts. State a reasonable domain and range for this situation.
Pls help
Answers
Answer:
25 bbgdswweghjyyhhhhhh
A pool membership during the summer
costs $7 per week. The total cost of a membership is given by
f(x) = 7x. The pool also rents out lockers for $2 per week. The
total cost of a membership and a rental is given by g(x) = 9x.
What is the difference between a 12-week membership
if you get a locker and if you don't? Explain how you
got your answer.
Answers
Let’s see who’s smart i made this myself
Answers
Answer:
$20.2
Step-by-step explanation:
Answer:
21.06
Step-by-step explanation:
17 percent of 18=3.06
3.06+18=21.06
.There is an island in which certain inhabitants called "knights" always tell the truth, and others called "knaves" always lie. We assume that all of the inhabitants are either knights or knaves. Match the statements on the left with the types on the right. (Based on a series of puzzles by Raymond Smullyan)
Answers
Answer:
Step-by-step explanation:
READ A BOOK
A forest covers 72,000 acres. A survey finds that 0.3% of the forest is old-growth trees. How many acres of old-growth trees are there?
Answers
Answer:
21,600 acres of old-growth trees
Step-by-step explanation:
Mtiply 72,000 by 0.3%
0.3 * 72,000 = 21.6k (21,600)
When studying radioactive material, a nuclear engineer found that over 365 days, 1,000,000 radioactive atoms decayed to 974,728 radioactive atoms, so 25,272 atoms decayed during 365 days a. Find the mean number of radioactive atoms that decayed in a day b. Find the probability that on a given day, 50 radioactive atoms decayed
Answers
a) The mean number of radioactive atoms that decayed in a day is approximately 69.28 atoms. and b) the probability that on a given day, 50 radioactive atoms decayed is approximately 2.314685e-47.
a. To find the mean number of radioactive atoms that decayed in a day, we can divide the total number of atoms decayed over 365 days by the number of days:
Mean number of radioactive atoms decayed per day = Number of atoms decayed / Number of days
Mean number of radioactive atoms decayed per day = 25,272 atoms / 365 days
Mean number of radioactive atoms decayed per day ≈ 69.28 atoms
Therefore, the mean number of radioactive atoms that decayed in a day is approximately 69.28 atoms.
b. To find the probability that on a given day, 50 radioactive atoms decayed, we can use the Poisson distribution. The Poisson distribution is often used to model the number of events occurring in a fixed interval of time or space.
The formula for the Poisson distribution is:
P(X = k) = [tex](e^(-λ) * λ^k) / k![/tex]
Where:
P(X = k) is the probability that k events occur,
e is Euler's number, approximately 2.71828,
λ is the average number of events occurring in the given interval,
k is the number of events we are interested in.
In this case, the average number of radioactive atoms decayed in a day is approximately 69.28 atoms (calculated in part a). Therefore, λ = 69.28.
Substituting the values into the Poisson distribution formula:
P(X = 50) =[tex](e^(-69.28) * 69.28^50)[/tex] / 50!
Calculating [tex]e^(-69.28):[/tex]
[tex]e^(-69.28)[/tex] ≈ 2.67048178576e-31
Calculating [tex]69.28^50:[/tex]
[tex]69.28^50[/tex] ≈ 2.64267020807e+80
Calculating 50! (factorial of 50):
50! ≈ 3.04140932017e+64
Substituting these values back into the formula:
P(X = 50) ≈ (2.67048178576e-31 * 2.64267020807e+80) / 3.04140932017e+64
P(X = 50) ≈ 2.314685e-47
Therefore, the probability that on a given day, 50 radioactive atoms decayed is approximately 2.314685e-47.
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HELP ME PLEASE, SEE THE PICTURE!
Answers
Answer:
5 students
Step-by-step explanation:
85 has the stem of 8.
The only leaf in stem 8 that has a number higher than the leaf 5 is 8.
The stem 9 is higher than the stem 8 so all of it's leaves are higher than 85.
There are 4 leaves under the stem 9 and there is one leaf in stem 8 that's higher than 5.
So there are 5 students that have a score higher than 85.
please help me! <3 :(
Answers
Answer:
ill help
Step-by-step explanation:
Answer:
Slope = 2 (i think)
Step-by-step explanation:
Rational number arithmatic
Answers
Answer:
A and D are the ones that are right
Answer:
a and d
Step-by-step explanation:
Write these fractions in their simplest form:
A. 49/84
B. 216/64
Answers
Answer:
A. 7/12
B. 27/8 or 3 & 3/8
Translate the word phrase into a variable expression:
five times the sum of 2 and y
Answers
Answer:
5×(2+Y) is one way you can put the expression. Hope this helps. :)
find the value of x or y so that the line through the points has the given slope. (7, -3) and (9, y) and Slope is 9/2
Answers
Answer:
almost answer
Step-by-step explanation:
please HELPPPP GONNA GIVE BRAINLIEST!!!!
Answers
Answer:
The third answer: -7/8
Step-by-step explanation:
Having the numerator negative makes the entire fraction negative. If both the numerator and the denominator are negative it means that the fraction is positive. So -7/8 is equal to - 7/8.
Hope This Helps :)
What is 2+2? I NEED EXPLANATION PLS I DONT HAVE A LOT OF TIME I NEED EXPLANATION AND WHY I REALLY DONT KNOW I NEED HELP
Answers
Answer:
4
Step-by-step explanation:
WKKSKSK
BEACUSE
2+2=4
bOom
Answer:
4
Step-by-step explanation:
Because if you have 2 dollars and someone else has 2 dollars and they gave the 2 dollars to you. You have 4 dollars.
how are Mass and distance related to gravity
Answers
Answer:
here.
Step-by-step explanation:
The force of gravity depends directly upon the masses of the two objects, and inversely on the square of the distance between them. This means that the force of gravity increases with mass, but decreases with increasing distance between objects.
I hope this helps! :D
Answer:
look at explanation
Step-by-step explanation
The force of gravity depends directly upon the masses of the two objects, and inversely on the square of the distance between them. This means that the force of gravity increases with mass, but decreases with increasing distance between objects.
The table below gives the lengths of the three sides of four triangles. Which triangle is NOT a right triangle?
Triangle A
Triangle B
Triangle C
Triangle D
Answers
Answer:
D
Step-by-step explanation:
(a^2)+(b^2)=c^2
A vacation resort rents SCUBA equipment to certified divers. The resort charges an up-front fee of $25 and another fee of $12.50 an hour. What is the amount if you rent the SCUBA equipment for 1 hour and 15 minutes? • $40.63 $28.13 $50 $41
Answers
The amount for renting SCUBA equipment for 1 hour and 15 minutes is (1) $40.63, including an up-front fee of $25 and an hourly rate of $12.50.
To calculate the amount for renting SCUBA equipment for 1 hour and 15 minutes, we need to consider the up-front fee and the hourly rate.
The up-front fee is $25, which is a fixed cost.
The additional fee for each hour is $12.50. Since we have 1 hour and 15 minutes, we can consider it as 1.25 hours.
Therefore, the total cost can be calculated as:
Total cost = up-front fee + (hourly rate × number of hours)
Total cost = $25 + ($12.50 × 1.25)
Total cost = $25 + $15.63
Total cost = $40.63
Hence, the amount for renting the SCUBA equipment for 1 hour and 15 minutes is $40.63.
Therefore, the correct answer is: (1) $40.63
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Let f(x)= ax^2+bx+c and g(x)= ax^2-bx+c. If f(1) = g(1)+2 and f(2)=2, find g(2).
Answers
Answer:
first lets calculate f(1)=g(1)+2
a+b+c=a-b+c+2 so b=1
next lets calculate f(2)=2 remembering that we found b=1
4a+2*1+c=2 so c=-4a
Now lets find g(2)
g(2)=4a-2b+c= -c-2+c=-2 this is the final response
work work out the value of 3 ^ 2 plus 2 ^ 3
Answers
Answer:
Step-by-step explanation:
First 3 to the power of 2 is 3 X 3 which is nine. Next 2 the power of three is 2 X 2 X 2 which is 8. 9+8=17.
What is the answer to 4 (-1/2)?
Answers
Answer:
-2
Step-by-step explanation:
Answer:
-2
Step-by-step explanation:
-1/2 = -0.5
-0.5 x 4 = -2
can you tell me what function family this graph belongs to
Answers
Answer:
Quadratic
Step-by-step explanation:
The type of graph is quadratic
Simplify by combining like terms.
25pq + 13pq - 6 - 35pq + 4
Answers
Answer:
3pq-2
Step-by-step explanation:
25pq + 13pq = 38pq
Next
38pq - 35pq = 3pq
so thats ur first like terms combined then you have to do.
-6+4 = -2
So then you have your answer
3pq-2
Answer:
-17pq-2
Step-by-step explanation:
pls help now plz On your own paper, please write a fraction with x^-5*y^4*z^18 in the numerator and x^-6*y^19*z^-2 in the denominator. Simplify this fraction.
Answers
Answer:
xz^20 / y^15
Step-by-step explanation:
x^-5*y^4*z^18
------------------------
x^-6*y^19*z^-2
We are dividing so we subtract the exponents
First simplify the x terms
x^ -5 / x^ -6 = x^( -5 - -6) = x^ (-5+6) = x
Then simplify the y terms
y^ 4 / y^ 19 = y^( 4 - 19) = y^ (-15)
Finally simplify the z terms
z^ 18 / z^ -2 = z^( 18 - -2) = z^ (18+2) = z^20
x y ^ -15 z^20
The positive exponent terms are in the numerator and the negative exponent terms are in the denominator ( they change to positive exponents)
xz^20 / y^15
Answer:
I like gave the other dude the answr so I am chillin
Step-by-step explanation:
thanks for da points doe g
how many bottles of chocolate can you buy with $20 if one cost $4?
One step equation
Answers
What is the standard form of this complex number? (24 - 10i) - (43 + 18i)
Answers
Answer:
-19-28i
Step-by-step explanation:
Answer:
-19-28i
Step-by-step explanation:
Ali currently has $25. He is going to start saving $5 every week.
Which equation represents this situation?
Answers
Answer:
y=5x+25
Step-by-step explanation:
5 is the slope and 25 is the y-intercept
Answer:
5x+25 and the second part is YES
Step-by-step explanation:
A project has an initial cost of $40,400, expected net cash inflows of $14,000 per year for 9 years, and a cost of capital of 12%. What is the project's NPV? (Hint: Begin by constructing a time line.) Do not round your intermediate calculations. Round your answer to the nearest cent.
Answers
Answer:
$59,750
Step-by-step explanation:
According to the given situation, the calculation of net present value is shown below:-
Net present value = Net cash inflows × PVIFA factor(9,12%) - Initial cost
= $14,000 × 7.1607 - $40,400
= $100,250 - $40,500
= $59,750
Therefore as per the situation for computing the net present value we simply applied the above formula.
||x-4|-2|<3
Solve for X
Answers
Answer:
x<11
Step-by-step explanation:
x−4(|−2|)<3
Simplifies to:
x−8<3
Let's solve your inequality step-by-step.
x−8<3
Step 1: Add 8 to both sides.
x−8+8<3+8
x<11
helpp!!! i will mark as brainliest
Answers
Answer:
i. no
ii. yes
iii.no
️️️️
15+5n+-5n-5+6n
-5, 5, -1, -3
WHICH ONE
Answers
Answer:
it is th3 or forth your welcome
Step-by-step explanation:
