Answer:
See explanation
Step-by-step explanation:
The triangles below are congruent and their corresponding parts are marked.
a) Angles marked with one arc are congruent, so 
Angles marked with two arcs are congruent, so 
Angles marked with three arcs are congruent, so 
b) Sides marked with one segment are congruent, so 
Sides marked with two segments are congruent, so 
Sides marked with three segments are congruent, so 
c) Name teo congruent triangle following the congruence of angles:
Unit rate is in the quantity of one.
2/1 is a unit rate
6/3 is a rate
4/1 is a unit rate
If we translate the word problems to mathematical equation,
2x + 3y = 60
The second equation is,
P = xy³
From the first equation, we get the value of y in terms of x.
y = (60 - 2x) / 3
Then, substitute the expression of y to the second equation,
P = x (60-2x) / 3
P = (60x - 2x²) / 3 = 20x - 2x²/3
We derive the equation and equate the derivative to zero.
dP/dx = 0 = 20 - 4x/3
The value of x from the equation is 15.
Hence, the value of x for the value of the second expression to be maximum is equal to 15.
<span>X + 1.5 ≤ 5
X ≤ 3.5
"Julia is allows to watch no more than 5 hours of television"
X ≤ 5
"She has watched 1.5 hours"
X + 1.5 ≤ 5
So the inequality to solve is:
X + 1.5 ≤ 5
Now to solve it, just subtract 1.5 from both sides:
X + 1.5 ≤ 5
X + 1.5 - 1.5 ≤ 5 - 1.5
X ≤ 3.5
So Julia can watch up to 3.5 more hours of TV this week.</span>
