Answer:
x = 27
Step-by-step explanation:
AC // DE
m∠ABD ≅ m∠BDE = 72°
m∠ADB + m∠BDE + m∠EDF = 180°
2x + 72° + 2x = 180°
4x = 108°
x = 27°
This is a true statement.
Consider two events A and B. We say they are complementary if P(A)+P(B) = 1
This means that either event A or event B must happen, since the "1" represents 100% probability. Having a probability of 100% means absolute certainty.
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Example:
A = the event it rains
B = the event it does not rain
P(A) = 0.30 = 30% chance of rain
P(B) = 0.70 = 70% chance it does not rain
P(A)+P(B) = 0.30+0.70 = 1
So this shows the two events are complementary.
Answer:
d= 24
Step-by-step explanation:
-2= d/3 - 10
-6= d-30
-d=-30+6
-d= -24
d= 24
The greatest common factor (gcf) is 6.
Answer:
3 =n
Step-by-step explanation:
-3 +3(n+8)= 2(1 + 6n) - 8
Distribute
-3 +3n +24 = 2 +12n -8
Combine like terms
21+3n = 12n -6
Subtract 3n from each side
21+3n-3n = 12n-3n -6
21 = 9n -6
Add 6 to each side
21+6 = 9n-6+6
27 = 9n
Divide each side by 9
27/9 = 9n/9
27/9 =n
Divide the top and bottom by 3
3 =n
