Answer:
x=63
Step-by-step explanation:
55+62+x=180
117+x=180
180-117=63
x=63
The first claim,
"If 2<em>n</em> + 4 is even, then <em>n</em> is even"
is false; as a counterexample, consider <em>n</em> = 1, which is odd, yet 2•1 + 4 = 6 is even.
The second claim,
"If <em>n</em> is even, then (<em>n</em> + 3)² is odd"
is true. This is because
(<em>n</em> + 3)² = <em>n</em> ² + 6<em>n</em> + 9
<em>n</em> ² + 6<em>n</em> is even because <em>n</em> is even. 9 is odd. The sum of an even and odd integer is odd.
Answer:
x=4.875
y=-0.25
Step-by-step explanation:
4x – 2y = 10
2x-y=10
y=2x-10
4x + 6y = 18
2x+3(2x-10)=9
8x=39
x=4.875
y=2(4.875)-10
y=-0.25
Answer:
There are no solutions
Step-by-step explanation:
