Answer:
Substitution property of equality
Step-by-step explanation:
Given
and
Then
Required
State the property
From the list of options, (d) answers the question.
This is so because:
Substitution property of equality states that
If then
In other words, both can replace one another.
So if , then 2y + 1 can be substituted for x in
So:
becomes
<em>Hence, it is substitution property of equality</em>
Answer:
10√2 inches (second option)
Explanation:
visualise a square in your head. then, imagine a diagonal running through it. that diagonal would separate the square into two triangles. so to find the diagonal, we first need to find the length of the square (which would serve as the base and height of the triangle).
we can simply divide the perimeter by 4 to get the length of each side, which would then be 40 ÷ 4 = 10.
next, we can use the formula of the pythagorus theorum! it states that a² + b² = c², where a, b and c are represented by the following image:
for our equation, this would translate to 10² + 10² = c², and c would be the length of the diagonal.
100 + 100 = c²
200 = c²
in radical form, the square root of 200 would be 10√2. therefore, the length of the diagonal is 10√2 inches, which is the second option.
i hope this helps! :D
