Answer:
x = 120
Step-by-step explanation:
Since they are supplementary, they add up to 180 degrees.
So, you can say x + x/2 = 180
Then, you would solve it like an algebra problem.
Multiply both sides by 2
2x + x = 360
Simplify
3x = 360
Divide both sides by 3
x = 120
The single shift worked by Reem is 16 hours long.
Total earned = $320
First 8 hours (earning per hour) = $16
Additional hours = $24 per hour
Let the total number of hours worked = m
The Number of hours after 8 hours = m - 8
Representing the scenario with an equation :
(16 × 8) + (24 × (m - 8)) = 320
128 + 24m - 192 = 320
-64 + 24m = 320
24m = 320 + 64
24m = 384
Divide through by 24
m = 384 / 24
m = 16
Hence, the shift is 16 hours long.
Learn more : brainly.com/question/18109354
Answer:
2.8
x+8.7
Step-by-step explanation:
You must find the relative rates of both workers...
T=f/3 and J=f/2 so if they work together to clear the field then:
ft/3+ft/2=f make all terms have a common denominator of 6
(2/2)(ft/3)+(3/3)(ft/2)=(6/6)f
2ft/6+3ft/6=6f/6 multiply both sides by 6
2ft+3ft=6f divide both sides by f
2t+3t=6 combine like terms on left side
5t=6 divide both sides by 5
t=6/5 hr
t=1 1/5 hr
t=1 hr 12 min
M∠BDC=half the arc it faces=1/2 of 54=27
BD is the diameter, so m∠C=90
m∠DBC=180-90-27=63
