Congruent triangles are exactly the same, meaning they have the same side length, and thus same angles. Everything is exactly the same, as easy as it gets :)
So, you can compare the two pictures to get the informations you need:
, since it is a right angle
, as we can see on the right by comparison
. In fact, the angles of a triangle sum to
, so we have
. So, 
yd, as we can see on the left by comparison.
Finally, we can compute
using the Pythagorean theorem:

Answer:
D is a translation
Step-by-step explanation:
It moves down vertically instead of rotating
Let suppose there are two functions that satisfy the equations
f ' +2f =0
and g' + 2g =0
If we add both of them
f' +g' + 2f + 2g =0
Grouping both the sides
(f+g) ' + 2 (f +g) =0So, if both g and f satisfies it then their sum also satisfy it, So there is a subspace and their sum satisfy them too.
Answer:
The surface area of the triangular prism is approximately 401.582 square feet.
Step-by-step explanation:
The figure represents a triangular prism, the procedure for calculating the surface area of the entire figure consists in adding the areas of each face (3 rectangles and 2 triangles):
![A = 2\cdot \left[\frac{1}{2}\cdot (9\,ft)\cdot (4\,ft)\right] + (16\,ft)\cdot (4\,ft) + (9\,ft)\cdot (16\,ft) + (16\,ft)\cdot \sqrt{(9\,ft)^{2}+(4\,ft)^{2}}](https://tex.z-dn.net/?f=A%20%3D%202%5Ccdot%20%5Cleft%5B%5Cfrac%7B1%7D%7B2%7D%5Ccdot%20%289%5C%2Cft%29%5Ccdot%20%284%5C%2Cft%29%5Cright%5D%20%2B%20%2816%5C%2Cft%29%5Ccdot%20%284%5C%2Cft%29%20%2B%20%289%5C%2Cft%29%5Ccdot%20%2816%5C%2Cft%29%20%2B%20%2816%5C%2Cft%29%5Ccdot%20%5Csqrt%7B%289%5C%2Cft%29%5E%7B2%7D%2B%284%5C%2Cft%29%5E%7B2%7D%7D)

The surface area of the triangular prism is approximately 401.582 square feet.