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galben [10]
2 years ago
6

What is the measure of angle x? Use what you know about vertical angles and complementary angles to help you.

Mathematics
1 answer:
guajiro [1.7K]2 years ago
5 0

Answer:

the answer should be 133 for the measure of angle x because first of all to find the answer you need to know that vertical and complementarty equals always 180 degrees so you set up this equation x+47=180

x+47-47= 180 - 47

x= 133

if you want to check the work you add 133 plus 47 getting an answer of 180 degrees so 133 is the correct answer and have a great day.

Step-by-step explanation: :DDDDDDD

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Step-by-step explanation:

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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}

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