Simple Proof:
a) In the image, we know that ABCD is a parallelogram and that means opposite angel measures should be the same. We know that angel DCB is made up by angel 1 and 2, and angel DAB and DCB are equal and angel DAB is made up by angel 1 and <em>x</em>. So now we can conclude that angel <em>x</em> is equal to angel 2.
b) According to the definitions of a parallelogram, opposite angel measures have to be the same, while AECF have angle 1 to angel 1 and angel 2 to angel 1. We can conclude that AECF is <u>NOT</u> a parallelogram. (Sorry, you didn't give me the full question so some information remains unclear. )
Answer:
<h2>2¹²</h2>
Step-by-step explanation:
The sum of the coefficients in the expansion of (x+1)^12:
= 12C0 + 12C1 + 12C2 + . . . + 12C11 + 12C12
the formula says that this sum equal to 2¹².
Other examples
The sum of the coefficients in the expansion of (x+1)^3:
3C0+3C1+3C2+3C3
=8 = 2³
The sum of the coefficients in the expansion of (x+1)^4:
4C0+4C1+4C2+4C3+4C4
=16 = 2⁴
:)
Step-by-step explanation:
arithmetic sequence.
an = an-1 + c = a1 + (n-1)c
c is in our case 2 (every new shape has 2 more vertices).
we have a a1 = 3.
an = 3 + 2(n-1)
so,
a21 = 3 + 2(20) = 3 + 40 = 43
the 21st shadow will have 43 vertices.
149-18% 149-26.82=122.18
149-122.18=$26.82
18% off of $149=$26.82
Answer:
Option (C)
Step-by-step explanation:
The given graph represents the relation between her profit and the price charged.
x-intercepts from the graph are at,
x = 20 and x = 65, which show the selling prices.
x-intercepts means y = 0
And y = 0 represents no profit no loss.
When we summarize these data,
zeros : x = 20 and x = 65
These are the selling prices that will give her neither profit nor loss.
Therefore, Option (C) will be the answer.
