Given:
The expression is:

To find:
The value of the given expression when
and
.
Solution:
We have,

Putting
and
, we get

It can be written as

![[\because a^0=1,a\neq 0]](https://tex.z-dn.net/?f=%5B%5Cbecause%20a%5E0%3D1%2Ca%5Cneq%200%5D)


Therefore, the value of the given expression
when
and
.
Answer:
x = 12
Step-by-step explanation:
For the middle size triangle
short leg = x
long leg = (25 - 9) = 16
ratio = x/16
For the small triangle
short leg = 9
long leg = x
ratio = 9/x
Similar triangles are proportional so
Set the ratios equal
x/16 = 9/x
Cross multiply
x² = 144
Take the square root of both sides
x = 12
Answer:
The volume is 
Step-by-step explanation:
we know that
The volume of a triangular prism is

where
B is the area of the triangular base
L is the length of the prism
we have

----> perpendicular distance between the two triangular bases
substitute

MCE = 360 - (150 + 70 + 50)
mCE = 360 - 270
mCE = 90
<CDE = 1/2(mBE + mCE)
<CDE = 1/2(150 + 90)
<CDE = 1/2(240)
<CDE = 120
answer
<CDE = 120°