Answer:
these are corresponding angles
Assignment: 
<><><><><>
Answer: 
<><><><><>
Explanation: 
<><><><><>
[ Step One ] Switch Sides

[ Step Two ] Expand 

[ Step Three ] Rewrite Equation

[ Step Four ] Add 8 To Both Sides

[ Step Five ] Simplify

[ Step Six ] Divide Both Sides By -1

[ Step Seven ] Simplify

<><><><><><><>
Distribute
to every term inside the parentheses.

Simplify with multiplication.

You can't simplify further by adding, so leave the answer as-is.
Answer:
Step-by-step explanation:
We have the equations
4x + 3y = 18 where x = the side of the square and y = the side of the triangle
For the areas:
A = x^2 + √3y/2* y/2
A = x^2 + √3y^2/4
From the first equation x = (18 - 3y)/4
So substituting in the area equation:
A = [ (18 - 3y)/4]^2 + √3y^2/4
A = (18 - 3y)^2 / 16 + √3y^2/4
Now for maximum / minimum area the derivative = 0 so we have
A' = 1/16 * 2(18 - 3y) * -3 + 1/4 * 2√3 y = 0
-3/8 (18 - 3y) + √3 y /2 = 0
-27/4 + 9y/8 + √3y /2 = 0
-54 + 9y + 4√3y = 0
y = 54 / 15.93
= 3.39 metres
So x = (18-3(3.39) / 4 = 1.96.
This is a minimum value for x.
So the total length of wire the square for minimum total area is 4 * 1.96
= 7.84 m
There is no maximum area as the equation for the total area is a quadratic with a positive leading coefficient.
Answer:
$223.
Step-by-step explanation:
Let x be the original price of phone.
We are told that Terry sees this offer refurbished phone 35% off now only $78.
We need to find x such that 35% of x is 78. We can represent this information as:


Therefore, the original price of phone was $223.