To set this up you will set the two angles equal to 180° since it is a straight line
This will make the equation x+6x+19=180
Combine like terms. 7x+19=180.
Subtract 19 from both sides. This will make it 7x=161
Divide both sides by 7. That will make it x=23
Next plug in the x to solve for abc. 7(23)+19. This equals 157
X= 23
Hope this helped :)
The answer for this problem is two remainder seven
Answer:
33 feet
22 feet
Step-by-step explanation:
Let the longer piece be x
Therefore the shorter piece is (2/3)x
x + (2/3)x = 55 Combine the left 2 terms.
(3/3)x + (2/3)x = 55 Add
(5/3)x = 55 Multiply both sides by (3/5)
(3/5) * (5/3)x = (3/5)*55
x = 33
The larger piece is 33 feet
The smaller piece is (2/3) * 33 = 22 feet
Answer:
x=8.94 ; y = 1.58; z=2.02
Step-by-step explanation:
solve 10x+4y+12z = 120 → 5x+2y+6z = 60
8x + 2y +32Z = 160 → 4x+y+16z = 80
To eliminate z multiply first equation by 16 and second equation by 6.
80x+32y+96z = 960
24x+6y+96z = 480
on subtractionwe get 56x+26y = 480
dividing by 2 we get, 28x + 13y = 240
Now we have a given equation 11x + 77y = 220 → x + 7y = 20
solving 28x + 13y = 240 and x + 7y = 20
28x + 13y =240
28x + 216y = 560
subtracting we get, 203y = 320
y = 1.58
x = 8.94
z = 2.02
