Answer:
Therefore the value of v in the equation is 7
Answer:
The measure of angle C is 
Step-by-step explanation:
we know that
If AB || DC
then
-----> supplementary angles by consecutive interior angles
and remember that the sum of the interior angles in a trapezoid is equal to 360 degrees

step 1
Find the measure of angle D
substitute the measure of angle A
step 2
Find the measure of angle C

substitute the values


Answer:
x = - 
Step-by-step explanation:
To find f(g(x)) substitute x = g(x) into f(x), that is
f(g(x))
= f(x + 1)
= 2(x + 1)² ← expand using FOIL
= 2(x² + 2x + 1) ← distribute
= 2x² + 4x + 2
To find g(f(x)) substitute x = f(x) into g(x), that is
g(f(x))
= g(2x²)
= 2x² + 1
----------------------------------------------------------
Equating gives
2x² + 4x + 2 = 2x² + 1 ( subtract 2x² + 1 from both sides )
4x + 1 = 0 ( subtract 1 from both sides )
4x = - 1 ( divide both sides by 4 )
x = - 
Answer:
44.59
Step-by-step explanation:
First add 20% to $34.65 and get $41.58, add the tax and your answer is $44.59.