Answer:
x = 12.6
Step-by-step explanation:
Sum of measure of all the arcs of a circle = 360°
m(arc CD) + m(arc CED) = 360°
Since, m(arc CED) = (20x)°
And m(arc CD) = (8x + 6)°
By substituting these measures in teh expression,
(20x)° + (8x + 6)° = 360°
(20x + 8x) + 6 = 360
28x = 360 - 6
28x = 354
x = 
x = 12.64
x = 12.6
20 and 21 is your answer
20 + 21 = 41
hope this helps
Answer:
w goes to dependent
and t goes to independent
Step-by-step explanation:
18 kg of 15% copper and 72 kg of 60% copper should be combined by the metalworker to create 90 kg of 51% copper alloy.
<u>Step-by-step explanation:</u>
Let x = kg of 15% copper alloy
Let y = kg of 60% copper alloy
Since we need to create 90 kg of alloy we know:
x + y = 90
51% of 90 kg = 45.9 kg of copper
So we're interested in creating 45.9 kg of copper
We need some amount of 15% copper and some amount of 60% copper to create 45.9 kg of copper:
0.15x + 0.60y = 45.9
but
x + y = 90
x= 90 - y
substituting that value in for x
0.15(90 - y) + 0.60y = 45.9
13.5 - 0.15y + 0.60y = 45.9
0.45y = 32.4
y = 72
Substituting this y value to solve for x gives:
x + y = 90
x= 90-72
x=18
Therefore, in order to create 90kg of 51% alloy, we'd need 18 kg of 15% copper and 72 kg of 60% copper.
