Answer:
The measure of blank is 8
Step-by-step explanation:
Answer:
<h2>x = 3</h2>
Step-by-step explanation:
Look at the picture.
We have the triangles 45° - 45° - 90° and 30° - 60° - 90°.
The sides of those triangles are in ratio:
1 : 1 : √2 and 1 : √3 : 2
Therefore
If AC = 6√2 then AB = BC = 6
If BC = 6 then x = 6 : 2 = 3
Answer:
47
Step-by-step explanation:
According to the number system 7 lines and 12 dots, a line is 5 and a dot is 1
you do 5*7+12 which is equal to 47
So the answer is 47,
Hope this helps!
Answer: 8
The point E in the parallelogram is located at the crossing point of the diagonal line. It can be concluded that the distance of AE is equal to CE, or equal to 1/2 AC. Then you can get three equation like this:
AE=CE
<span>AE=x^2−8
CE=2x .
Using these equation you can find the value of x
AE= CE
</span>x^2−8 = 2x
x^2−2x-8 = 0
(x- 4) (x+2)
x1= 4 x2= -2
Excluding the minus result, you can get that AE= CE= 4
Then AC would be:
AC= AE+CE
AC= 4 + 4= 8
Answer:
The surface area of the prism is 72 square units.
Step-by-step explanation:
In order to calculate the surface area of the prism we must calculate the area of each face of the prism. To better visualize it we can look at the picture below. We must calculate the area of every face in the picture, so we have:
surface area = 2*[(1/2)*3*4] + 3*5 + 4*5 + 5*5
surface area = 12 + 15 + 20 + 25
surface area = 72 square units