Answer:
x=3
Step-by-step explanation:
3x + x + x + x − 3 − 2 = 7 + x + x
Combine like terms
6x -5 = 7+2x
Subtract 2x from each side
6x-2x -5 = 7+2x-2x
4x-5 =7
Add 5 to each side
4x-5+5 = 7+5
4x =12
Divide by 4
4x/4 = 12/4
x = 3
Answer:
150°
Step-by-step explanation:
to find the individual angle of a REGULAR dodecagon (which means that all sides are equal), you'd use the equation I(individual angle)= (n-2)×180/n
N is number of sides. The number of sides on a dodecagon is 12. So, substitute N for 12
I= (12-2)×180/12 which simplifies to 10×180/12
10×180= 1800
1800/12 = 150
so, an individual interior angle of a dodecagon is 150°
angle AOB = 132 and is also the sum of angles AOD and
DOB. Hence
angle AOD + angle DOB = 132° ---> 1
angle COD = 141 and is also the sum of angles COB and BOD. Hence
angle COB + angle DOB = 141° ---> 2
Now we add the left sides together and the right sides of equations 1 and 2
together to form a new equation.
angle AOD + angle DOB + angle COB + angle DOB = 132 + 141 ---> 3
We should also note that:
angle AOD + angle DOB + angle COB = 180°
Therefore substituting angle AOD + angle DOB + angle COB in equation 3 by 180
and solving for angle DOB:
180 + angle DOB = 132 + 141
angle DOB = 273 - 180 = 93°
Answer:
Emily's mother will donate $20
Step-by-step explanation:
0.5x20=10
Answer:
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Step-by-step explanation: