<span>A = hours for plan A
B = hours for plan B</span>
<span>Monday: 6A + 5B = 7
Tuesday: 2A + 3B = 3</span>
use elimination by multiplying the 2nd equation by 3.
Doing that we get 3(2A + 3B = 3) = 6A + 9B
= 9
<span>So the two equations are now:
6A + 9B = 9</span>
6A + 5B = 7
Subtract and we have 4B = 2
B = 2/4 = 1/2 of an hour
Now put 1/2 back into either equation to solve for A
<span>6A + 5(1/2) = 7
6A + 5/2 = 7
6A = 14/2 -5/2
6A = 9/2
divide by 6 to get A = 9/12 = ¾ hours</span>
<span>Plan A = 3/4 hour</span>
<span> Plan B = 1/2 hour</span>
Answer:
m∠ABC = 74
Step-by-step explanation:
The sum of the measures of three angles of any triangle is invariably equal to the straight angle, also expressed as 180 °
So you subtract the given measurements of ∠BAC (76°) and ∠ ACB (19°) from 180. 180-76-19 = 74
The measurement of angle ABC is 74°
Answer:
B and E
Step-by-step explanation:
Answer:
5x - 20 is the length of the median
The length of the median = (short side + long side) / 2
5x -20 = (2x +6 + 4x + 2) / 2
5x -20 = (6x +8) / 2
10x -40 = 6x + 8
4x = 48
x = 12
Step-by-step explanation: