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m_a_m_a [10]
3 years ago
7

Transversal t cuts parallel lines a and b as shown in the diagram. Which equation is necessarily true?

Mathematics
1 answer:
professor190 [17]3 years ago
5 0

Answer:

D is true

Step-by-step explanation:

A, B, C, and E are supplementary pairs so they cant equel each other.

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When a water-cooled nuclear power plant is in operation, oxygen in the water is transmuted to nitrogen-17. After the reactor is
wolverine [178]

Answer:

The differential equation is \frac{dR}{dt} = -kR

Step-by-step explanation:

Differential equation for the rate of change in radiation level:

Radiation level is R.

Rate of change indicates that the radiation level R varies in function of time t, which mathematically means that we have:

\frac{dR}{dt}

After the reactor is shut down, the radiation from the nitrogen-17 decreases in such a way that the rate of change in the radiation level is directly proportional to the radiation level.

Rate of change is k. Decreases means that k is negative. Proportional to the radiation level of R means that -k multiplies R. So the differential equation is:

\frac{dR}{dt} = -kR

7 0
3 years ago
What is the solution to the following system of equations? 4x + 2y = 18 x − y = 3
Ber [7]

For this case we have the following system of equations:

4x + 2y = 18\\x-y = 3

To solve, we clear "x" from the second equation:

x = 3 + y

We substitute "x" in the first equation:

4 (3 + y) + 2y = 18\\12 + 4y + 2y = 18\\12 + 6y = 18

We clear the value of the variable "y":

6y = 18-12\\6y = 6\\y = \frac {6} {6}\\y = 1

We look for the value of the variable "x":

x = 3 + y\\x = 3 + 1\\x = 4

Thus, the solution of the system is given by:

(x, y) :( 4,1)

Answer:

(x, y) :( 4,1)

Option D

4 0
2 years ago
Find the x-intercept and y-intercept of the line.<br> 6x + 3y = - 18<br> I NEED HELP ASP
ser-zykov [4K]
X-intercept = -3
y- intercept = -6
6 0
2 years ago
Please help me!!!!!!!! :)​
nirvana33 [79]

Answer:

Step-by-step explanation:

the 30 year olds are more likely to pick chocolate as their favorite ice cream because the fraction of people who like chocolate is 14/20 where the other 3 are 4/20 and 2/20. this can be converted into percentages as well by multipling by 5. 70% of people who are in their 30s like chocolate opposed to the 20% and 10%.

3 0
3 years ago
Find the solution of this system of equations. Separate the x- and y-values with a comma. x - 4y = 12 and x - y = 0
Elenna [48]
Use elimination and subtitution method to solve the problem.
First, eliminate x and you'll find the value of y
x - 4y = 12
x -  y  = 0
--------------- - (substract)
     -3y = 12
        y = 12/-3
        y = -4

Second, subtitute -4 as y and you'll find the value of x
x - y = 0
x- (-4) = 0
x + 4 = 0
x = -4

The solution
x,y = -4,-4
6 0
3 years ago
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