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allochka39001 [22]
3 years ago
15

Solve for x in the following triangle.​

Mathematics
1 answer:
Pavlova-9 [17]3 years ago
3 0

Answer:

x = 12

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

8 + 6x is an exterior angle of the triangle, thus

8 + 6x = 30 + 4x + 2 = 4x + 32 ( subtract 4x from both sides )

8 + 2x = 32 ( subtract 8 from both sides )

2x = 24 ( divide both sides by 2 )

x = 12

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What is the product of (x+3)(x+5)
Citrus2011 [14]

Answer:

x^{2}+8x+15

Step-by-step explanation:

we apply the distributive property

so we have

(x+3)*(x+5)

x*x+5*x+3*x+3*5

finally

we have

x^{2} +8x+15

5 0
3 years ago
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Write each fraction as a decimal. Use bar notation if necessary<br> 3/11
LenKa [72]

Answer:

0.27272727 repeated

Step-by-step explanation:

the fraction 3/11 just means 3 divided by 11

and the answer is

3/11=0.2727272727272727272727272727 repeating

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A scatter plot was constructed and a line of best fit was drawn, 25x 80. What is the equation of this best line of fit?
Tcecarenko [31]

Answer:

y = 5x + 25

Explaination:

To get the equation of a line, first get the slope of the line.


Slope = (change in y)/(change in x)


          = (60-30)/(7-1)


          = 30/6


            = 5


Now use one point in the line (4,45) and a general point (x,y).


Slope = (change in y)/(change in x)


    5 = (y - 45)/(x - 4)


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y = 5x -20 + 45





7 0
3 years ago
Parisian sewer #1 contains 9 fewer gigantic rats—rats as big as cats, some might say—than parisian sewer #2. parisian sewer #2 c
Leya [2.2K]

There are different kinds of math problem. There will be 11 rats in sewer #1.

<h3>What are word problem?</h3>

The term  word problems is known to be problems that are associated with a story, math, etc. They are known to often vary in terms of technicality.

Lets take

sewer #1 = a

sewer #2 = b

sewer #3 = c

Note that   A=B-9

So then you would have:

A=B-9

B=C- 5

A+B+C=56

Then you have to do a substitution so as to find C:

(B- 9) + (C-5) + C = 56

{ (C- 5)-9} + (C-5) + C = 56

3C - 19 = 56

3C = 75

B = C- 5

B = 25 - 5

Therefore, B = 20

A = B - 9

= 25 - 9

=11

Therefore, there are are 11 rats in sewer #1

Learn more about  Word Problems from

brainly.com/question/21405634

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2 years ago
9.80x10^-3 + 1.60x10^-4 scientific notation
e-lub [12.9K]
<span>0.00996 would be it I just took a quiz like that but good luck</span>
6 0
3 years ago
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