Two equations are given
b+t <=9
30b + 20t > 200
WE graph each inequality
b + t <= 9
Make a table for b + t < = 9
b --- > t
0 --> 9
2 --> 7
Plot the point and make a graph. WE shade the bottom region because we have <= symbol
The graph is attached below.
WE graph the inequality
30b + 20t > 200
Make a table for 30b + 20t > 200
b --- > t
0 --> 10
6 --> 1
Plot the point and make a graph. WE shade the upper region because we have > symbol
The intersection of shaded region is our solution.
Answer:
m<1 = 60
m<2 = 30
m<3 = 80
Step-by-step explanation:
1. Solve for angle (1)
The sum of angles in any triangle is (180) degrees. As one can see, there is a (30) degree angle in this triangle, and a (90) degree angle. Bear in mind that the box around an angle indicates that it is a (90) degree angle. One can form an equation and solve for the unknown angle using this given information;
(30) + (m<1) + (90) = 180
Simplify,
120 + m<1 = 180
Inverse operations,
m<1 = 60
2. Solve for angle (2)
The vertical angles theorem states that when two lines intersect, the angles opposite each other are congruent. One can apply this theorem here by stating the following,
m<2 = 30
Thus one gets their answer, the measure of angle (2) must be (30) degrees by the vertical angles theorem.
3. Solve for angle (3)
As states above, the sum of angles in a triangle is (180) degrees. Since one has found the measure of angle (2), one can form an equation and solve for the measure of angle (3) using the given information, combined with the information found.
(m<2) + (70) + (m<3) = 180
Susbtitute,
30 + 70 + (m<3) = 180
Simplify,
100 + m<3 = 180
Invers eoperations,
m<3 = 80
Answer:
1 * 10^6.
Step-by-step explanation:
10 ^ 6 is written as a 1 followed by 6 zeroes. That is 1 million.
The answer is 1 * 10^6.
3x+4x=2
You add 3x and 4x which gets you 7x
7x=2
You divide both sides of the equation by 7
x=2/7
This will be your result