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aksik [14]
3 years ago
15

Pls help me answer this

Mathematics
1 answer:
AnnZ [28]3 years ago
5 0
When the two angles are next to each other on a straight line, they will add up to 180 degrees.

So, we can add up the expressions and set them equal to 180 degrees.

16x+3 + 12x+9 = 180

Combine like terms:

28x = 168

x= 6

Now we know what x is, all we have to do is sub in to the original expressions to get the value of the angles.

16(6) + 3 = 99
12(6) + 9 = 81

The left angle is 99 degrees, and the right is 81 degrees. You can test this again by adding it up and making sure they add to 180.

Hope this helps!
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What is the sum of all values of m that satisfy 2m (squared) -16m+8=0?
vodomira [7]
<h2>Steps:</h2>

So for this, we will be completing the square to solve for m. Firstly, subtract 8 on both sides:

2m^2-16m=-8

Next, divide both sides by 2:

m^2-8m=-4

Next, we want to make the left side of the equation a perfect square. To find the constant of this perfect square, divide the m coefficient by 2, then square the quotient. In this case:

-8 ÷ 2 = -4, (-4)² = 16

Add 16 to both sides of the equation:

m^2-8m+16=12

Next, factor the left side:

(m-4)^2=12

Next, square root both sides of the equation:

m-4=\pm \sqrt{12}

Next, add 4 to both sides of the equation:

m=4\pm \sqrt{12}

Now, while this is your answer, you can further simplify the radical using the product rule of radicals:

  • Product rule of radicals: √ab = √a × √b

√12 = √4 × √3 = 2√3.

m=4\pm 2\sqrt{3}

<h2>Answer:</h2>

In exact form, your answer is m=4\pm \sqrt{12}\ \textsf{OR}\ m=4\pm 2\sqrt{3}

In approximate form, your answers are (rounded to the hundreths) m=7.46, 0.54

6 0
3 years ago
Kinda need help here ​
Marat540 [252]
I think the answe is A
5 0
2 years ago
Read 2 more answers
Write an equation in slope-intercept form of the line that passes through (6, -1) and (3, 47)
katrin2010 [14]

Answer:

Step-by-step explanation:

(47+1)/(3-6) = 48/-3 = -16

y + 1 = -16(x - 6)

y + 1 = -16x + 96

y = -16x + 95

6 0
3 years ago
What does the 3 represent in 3(20 15)?
Andre45 [30]
Depending on what you're supposed to do, the three could either mean to distribute it into the equation, giving you
either
(3*2015) or (3*20)*(3*15) or (3*20) +/- (3*15)

Or an example of factoring where they took 3 out of 60 and 45.

There are no instruction on what to do in this question.
4 0
3 years ago
Nine voltage measurements in a circuit have produced the following values: 12.09, 12.05, 11.94, 11.99, 12.12, 12.05, 12.02, 11.9
Debora [2.8K]

Answer:

we can not reject any value

Step-by-step explanation: From data we can test the highest and the lowest value to evaluate if one of these values are out of certain confidence Interval

If we established CI = 95 % then  α = 5 % and  α/2 = 0,025

From data we find the mean of the values

μ₀  = 12,03   and σ = 0,07

From z table we find z score for 0,025 is  z(c) = ± 1,96

So limits of our CI are:

12,03 + 1,96 =  13,99

12,03 - 1,96 = 10,07

And all our values are within  ( 10,07 , 13,99)

So we can not reject any value

4 0
3 years ago
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