Please answer correctly !!!!!!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!!!

Mathematics

2 answers:

Vsevolod [243]3 years ago

8 0

Answer: 68°

Explanation: This is a complementary angle. A complementary angle is made of two angles which sum to 90°. Subtract 22 from 90 degrees (90-22) to get the missing angle. Hope this helps :)

rodikova [14]3 years ago

5 0

A+22°=90° (SUM OF COMPLEMENTRY ANGLES )

A=90°-22°

A=68° ANSWER.

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Prove that if a and b are positive integers whose sum is a prime p, their greatest common divisor is 1.

Tasya [4]

Proof by contadiction.

Let assume there exist such positive integers $a$ and $b$ whose sum is a prime number $p$ , that their greatest common divisor is greater than 1.

$a,b\in\mathbb{Z^+}\\d=\text{gcd}(a,b)>1\\\\a=de\\b=df\\e,f\in\mathbb{Z^+}\\\\a+b=p\\de+df=p\\d(e+f)=p\\$

Since $p$ is a prime number and $d>1$ , then $d=p \wedge e+f=1$ , but we assumed earlier that $e,f\in\mathbb{Z^+}$ , and there are no two positive integers that sum up to 1.