(x+5) represents each side of a square. Since all sides of a square are equal, we know that all sides are (x+5).
Base x height = (x+5)(x+5)
Which is x^2+10x+25!
Answer:
Constructive Proof
Step-by-step explanation:
Let x be a positive integer
x must be equal to sum of all positive integers exceeding it
i.e.
x = x + (x - 1) + ( x - 2) + ......... + 2 + 1
Equivalently,
x = ∑i (where i = 1 to x)
The property finite sum;
∑i (i = 1 to x) = x(x + 1)/2
So,
x = x(x + 1)/2 ------- Multiply both sides by 2
2 * x = 2 * x(x + 1)/2
2x = x(x + 1)
2x = x² + x ------- subtract 2x from both sides
2x - 2x = x² + x - 2x
0 = x² + x - 2x ----- Rearrange
x² + x - 2x = 0
x² - x = 0 ------ Factorise
x(x - 1) = 0
So,
x = 0 or x - 1 = 0
x = 0 or x = 1 + 0
x = 0 or x = 1
But x ≠ 0
So, x = 1
The statement is only true for x = 1
This makes sense because 1 is the only positive integer not exceeding 1
1 = 1
It is a Constructive Proof
A proof is constructive when we find an element for which the statement is true.
Answer:
x=66
Step-by-step explanation:
Hey There
So if you didn't know the exterior angle is equal to the sum of two opposite interior angles (38 and x)
so to find x we subtract 38 from 180
104-38=66
so x = 66
C as the bass is flat and the two sides are straight so no curved edges ruling out all other options and definitely not A as a cross section is 2d
Answer:
ps and qr is parellel so the 70°and x is co interior angles.
so, our equation will be look like .
70°+x=180°
x=180°-70°
x=110°
