Answer:
p=10
Step-by-step explanation:
subtract 5 on both sides and you'll get p=10 :]
Answer:
The surface area of the prism is 
Step-by-step explanation:
we know that
The surface area of the triangular prism is equal to

where
B is the area of the triangular face
P is the perimeter of the triangular face
L is the length of the triangular prism
<em>Find the area of the triangular face B</em>

<em>Find the perimeter of the triangular face P</em>

we have

substitute the values

Answer:

Step-by-step explanation:
Since it's a coin flip, each coin flip is independent of any other. Each time Steven flips the counter it has the same chance of landing on either side. It's true the on the first throw, and it's true on the 1000th throw.
Even if, extremely improbable, the first 22 flips landed on the blue side, that predicts nothing regarding the outcome of the 23rd flip.
That's all assuming the counter/chip/coin is properly and evenly balanced.... since we have no indication otherwise in the problem definition, we have to assume it's the case.
Answer:
B' (16, 14)
Step-by-step explanation:
<em>Whenever we have a dilation with a scale factor b, we get the new point as:</em>
<em>Let original point be (x,y), then the dilation would make it (bx, by).</em>
<em />
There is a diagonal that goes through AC and another through BD. The midpoint of both the diagonal is same. Midpoint formula is:

<u>Midpoint of AC:</u>

Now let vertex B have coordinates (x,y). <u>Midpoint of BD:</u>

<em>Equate this to the midpoint of AC:</em>
<em>(x+2)/2=5</em>
<em>x+2 = 10</em>
<em>x = 8</em>
<em />
<em>and</em>
(y+1)/2=4
y+1=8
y = 7
Thus, B(8,7)
<em>recalling dilation of scale factor 2 rule we said at the beginning, B' would be twice of each coordinate. Hence B' = (16,14)</em>