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scoundrel [369]
3 years ago
15

If m angle b=(3x-16) degrees, what is the measure of the supplement of angle b

Mathematics
1 answer:
Citrus2011 [14]3 years ago
5 0
The sum of an angle and the supplement is 180.
The supplement of the angle b is 180 - (3x - 16) = 180 - 3x + 16 = 196 - 3x
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What is the solution for this system of equations y = x - 4 Y = -x + 6
lana66690 [7]

Our system of equations is:

y = x - 4

y = -x + 6


We can solve this system of equations by substitution. We already have one equation solved for the variable y in terms of x, so we can substitute in this equivalent value for y into the second equation as follows:


y = -x + 6

x - 4 = -x + 6


To simplify this equation, we first are going to add x to both sides of the equation.


2x - 4 = 6


Next, we are going to add 4 to both sides of the equation to separate the variable and constant terms.


2x = 10


Finally, we must divide both sides by 2, to get the variable x completely alone.


x = 5


To solve for the variable y, we can plug in our solved value for x into one of the original equations and simplify.


y = x - 4

y = 5 - 4

y = 1


Therefore, your final answer is x = 5 and y = 1, or as an ordered pair (5,1).


Hope this helps!

3 0
3 years ago
What's the probability of me not getting a 1 on the second roll of a dice?
klio [65]
I think it would be a one in six chance of happening 1/6, because there are only 6 sides
4 0
3 years ago
Cassie's Pie Shop recently sold 4 peach pies and 4 other pies. Considering this data, how many of the next 18 pies sold should y
forsale [732]
To my calculation, i think it will be 9 peach pies
5 0
3 years ago
Read 2 more answers
The table shows the width and length of different pictures that Katie has enlarged for the school yearbook:
Y_Kistochka [10]

Answer:

24 inches

Step-by-step explanation:

Pattern for the length is time 6.

Do 6 x 4, which will equals 24  

Our Answer is- 24 inches.

Another way:

6 - 10 =  +6

12 - 18 =  +6

18 -24 =  +6

Therefore- 18 - 24 = +6

  24 Inches

7 0
3 years ago
A medical scientist has a 15-gram sample of I-13, And would like to know it's half-life in days. he also knows that k=0.0856
harina [27]

Answer:

The number of days is approximately 8.                    

Step-by-step explanation:

Given : A medical scientist has a 15-gram sample of I-13, And would like to know it's half-life in days. he also knows that k=0.0856.

To find : The half-life, in days, of I-131 using the information at the left?

Solution :

The decay model is given by  N=N_0e^{-Kt}

We have given that,  

The substance's half-life is the time it takes for the substance to decay to half its original amount.

i.e. N=\frac{N_0}{2}

The value of k is k=0.0856.

Substitute the values in the formula,

 N=N_0e^{-Kt}

 \frac{N_0}{2}=N_0e^{-(0.0856)t}

 \frac{1}{2}=e^{-(0.0856)t}

Taking natural log both side,

 \ln\frac{1}{2}=\ln e^{-(0.0856)t}

 -\ln2=-(0.0856)t\ln e

 t=\frac{-\ln2}{-0.0856}

 t=8.09

Therefore, The number of days is approximately 8.

4 0
3 years ago
Read 2 more answers
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