Answer:
Is there supposed to be a photo? Or attachment?
Step-by-step explanation:
You can focus on the two sub-triangles ABC and ACD
We know that they are both right triangles, because we're given that AC and BD are perpendicular.
The sides AB and AD are the hypothenuses of these triangles, so we know their length through the pythagorean theorem:
But since we're given 
, the expressions for AD and AB are actually the same expression. This proves that AD=AB, and thus that the triangle is isosceles.
Answer:
The first amount is larger by 25% or .25a
Step-by-step explanation:
Lets increase a by 50%
The increase is .5a
So the new value is a + .5a = 1.5a
Now we will decrease the new value by 50%
decrease = .5 (1.5a) = .75a
The new value of a is 1.5a - .75a = .75a
a > .75a
a - .75a = .25a
a is bigger than .75a by .25a
You know the total amount, 32.00, and the cost of each gallon, 1.60, so you can make an equation using x as the amount of gallons bought.
1.60x = 32.00
Now just divide 32.00 by 1.60
x= 32.00/1.60
x= 20
