Inscribed angles equal half of their arc length. So <D+ <B = 180
substitute: x+24+x+10 = 180
solve: 2x + 34 = 180
2x= 146
x= 73
NOw find the measure of angle A:
<a = x + 15
<a = 73 + 15
<a = 88
Now to find <C
<C = 180- 88
<C = 92
Hope this helps!
Answer:
I think this is the answer. I tried.
Step-by-step explanation:
13/10/4 = .325
A. 1,400 x .325=455
Net Price=1,400-455 = 945
B. Trade Discount = 32.5%
Are you trying to solve for x and y?
y=2x+1; x+2y=17
sub in one variable in the other equation.
x+2(2x+1)=17
x+4x+2=17
5x=15
x=3
now that you have x value, plug into the original equation to find y and check with the other.
y=2(3)+1 = 7
x+2y=17 = 3 + 2(7) = 17 ; 17=17
Answer:
the successful candidate won the election with a 24% margin.
Step-by-step explanation:
With the infomation provided, first you need to find the total amount of votes by adding the number of votes that the successful candidate registered plus the number of votes that his nearest rival secured:
577,500+
348,700=926,200
Next, you need to find the percentage of votes that the successful candidate registered and that the nearest rival secured by dividing the number of votes by the total amount of votes and multiplying the result for 100:
577,500/925,200=0.62*100=62%
348,700/926,200=38%
Now, you need to find the difference between both percentages to get the margin:
62%-38%=24%
According to this, the answer is that the successful candidate won the election with a 24% margin.
Let x = cost of one cheese pizza.
Let y = cost of one pepperoni pizza.
Set up a system of equations.
6x + 7y = 153.50
2x + 2y = 47.00.
Multiply the second equation by -3
6x + 7y = 153.50
-6x - 6y = -141.00.
Add the equations together
y = $12.00.
Plug 12 into one of our original equations.
2x + 2(12) = 47.
Simplify the left side.
2x + 24 = 47.
Subtract 24 from each side.
2x = 23.
Divide each side by 2
x = $11.50
In conclusion, one pepperoni pizza costs $12.00
