We have to form a quadrilateral by connecting the midpoints of the square.
The side of the square: a.
The side of the new quadrilateral: x² = (a/2)² + (a/2)²
x² = a²/4 + a²/4 = a²/2
x = a√2 / 2
All sides of the quadrilateral are equal: a√2 / 2.
So it could be another square or a rhombus. But all interior angles of the new quadrilateral are the same: 90°.
Answer: This is the square.
Answer:
30
Step-by-step explanation:
p=2l+2w
p=2(2w)+2w
p=4w+2w
p=6w
p=90
90=6w
15=w
Answer:
y = -1/2x + 2
Step-by-step explanation:
A line in slope-intercept form in y = mx + b
"m" is the slope
"b" is the y-intercept
x and y represent points on the graph
To write an equation, you need "m" and "b".
We already know m = -1/2
The point (0, 2) is the y-intercept. The y-intercept occurs when x = 0.
Points are in the form (x , y), so x = 0 and y = 2.
Therefore b = 2.
Substitute m = -1/2 and b = 2 into the equation:
y = mx + b
y = -1/2x + 2
Let's have the first number, the larger number, be <em>x</em>. We'll have the second, smaller number be <em>y</em>.
We know that x = y + 6, since x is 6 greater than y.
We also know that 330 = x + y.
Because x = y + 6, 330 = y + 6 + y, which simplifies to 330 = 2y + 6.
Now all we need to do is simplify the equation. First, we subtract 6 from both sides:
330 - 6 = 324
2y + 6 - 6 = 2y.
So we have 324 = 2y. Then we divide both sides by 2 to get:
162 = y
Plug in y = 162 into the equation x = y + 6 to get:
x = 162 + 6
x = 168
Let's check to make sure our answer is right. 168 is 6 more than 162. 162 + 168 equals 330. So our two numbers are 168 and 162.
I think that is the answer