Graph the inequalities given by the set of constraints. Find points where the boundary lines intersect to form a polygon. Substitute the coordinates of each point into the objective function and find the one that results in the largest value.
We are given 
The order of the letter sequence is important. The letters pair up based on how they are arranged. We see that A and E are the first letters of the sequences. So this means that angles A and E are the same measure
angle A = angle E
3x+20 = 5x-80
3x-5x = -80-20
-2x = -100
x = -100/(-2)
x = 50
Use this x value to find the measure of angle A
angle A = 3x+20
angle A = 3(50)+20
angle A = 150+20
angle A = 170 degrees
<h3>Therefore, the statement "the measure of angle A is 45 degrees" is <u>false</u>.</h3>
Answer:
0.375 litres
Step-by-step explanation:
Given that:
Total amount of lemonade held by pitcher = 3 litres
Number of people in which lemonade is to be given equally = 8
Amount of Lemonade received by each person will be:
Total amount of lemonade / number of persons
3 litres / 8
= 0.375 litres
Each person receives 0.375 litres of lemonade
Answer:
f(x) = -4x + 12
Step-by-step explanation:
y - 2x = -6x + 12
+2x +2x
f(x) = -4x + 12
51/2x-7=62
- Multiply both sides by 2x-7
×(2x-7) = 62(2x-7)
2. Switch sides
62(2x-7) = 51
3. Divide each side by 62
= 
4. Simplify
2x-7 = 51/62
5. Add 7 on both sides
2x-7+7 = (51/62)+7
6. Simplify
2x = 485/62
7. Divide both sides by 2
2x/2= 485/62/2
x= 485/124