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3 years ago

An angle measures 104° more than the measure of its supplementary angle. What is the measure of each angle?

Mathematics

1 answer:

masya89 [10]3 years ago

8 0

Answer:

76°

Step-by-step explanation:

supplementary angles make a total of 180°

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A positive integer is twice another.the sum of the reciprocal of the two positive integer is 3/14. Find the integers

icang [17]

Answer:

$\huge\boxed{14\ \text{and}\ 7}$

Step-by-step explanation:

$n,\ m-\text{positive integer}\\\\n=2m-\text{a positive integer is twice another}\\\\\dfrac{1}{n}+\dfrac{1}{m}=\dfrac{3}{14}-\text{the sum of the reciprocal of the two positive integer is }\ \dfrac{3}{14}\\\\\text{We have the system of equations:}\\\\\left\{\begin{array}{ccc}n=2m&(1)\\\dfrac{1}{n}+\dfrac{1}{m}=\dfrac{3}{14}&(2)\end{array}\right$

$\text{Substitute (1) to (2):}\\\\\dfrac{1}{2m}+\dfrac{1}{m}=\dfrac{3}{14}\\\\\dfrac{1}{2m}+\dfrac{1\cdot2}{m\cdot2}=\dfrac{3}{14}\\\\\dfrac{1}{2m}+\dfrac{2}{2m}=\dfrac{3}{14}\\\\\dfrac{1+2}{2m}=\dfrac{3}{14}\\\\\dfrac{3}{2m}=\dfrac{3}{14}\Rightarrow2m=14\qquad\text{divide both sides by 2}\\\\\dfrac{2m}{2}=\dfrac{14}{2}\\\\\boxed{m=7}$

$\text{Substitute it to (1):}\\\\n=2\cdot7\\\\\boxed{n=14}$

8 0

2 years ago

What are the domain and range of the function f(x) = 4(3/81)*?

Ulleksa [173]

Answer:108

Step-by-step explanation: divided 81 and 3. the answer is 27. multiply 27 x 4 you get 108.

8 0

3 years ago

Simplify C^5 x c<br> Plz can someone figure it out cuz I don’t get it

Fofino [41]

Answer:

c^6

Step-by-step explanation:

So, c is the same as c^ 1 ... therefore

c^5 x c

= c^5 x c^1

When we multiply two numbers with same base and different exponent, we add the exponents which in this case as 5 and 1

So c^5 x c^1

= c^(5+1)

= c^6

This is the simplest form

5 0

3 years ago

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Technical improvement of a factory enabled it to produce 165 parts more in February than in January. In the two-month period, th

Romashka-Z-Leto [24]

X + x + 165 = 1315
2x + 165 = 1315
subtract 165 from both sides
2x = 1150
divide both sides by 2
x = 575
January 575
February 575 + 165 = 740

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3 years ago

Two students have examined the scatter plot shown and have created a line of best fit for the data. Student A believes that the

svlad2 [7]

Answer:

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3 years ago