Answer:
-27
Step-by-step explanation:
(-3)^4 = 81
- 81/3 = -27
Answer:
9 more people
Step-by-step explanation:
There are 15 first prize winners and 4 grand prize winners
that means there are 15 - 4 more first prize winners than grand prize winners
15 - 4 = 9
9 more people won first prize than the grand prize
Answer:
n = 3
Step-by-step explanation:
9{n+2(n-2)} = 45
Start with the numbers on the inner most pair of parentheses
Multiply (n-2) by 2
9[n+2n-4] = 45
Add what is inside the parentheses
9[3n-4] = 45
Multiply
27n-36 = 45
Add 36 to both sides
27n = 81
Divide both sides by 27
n = 3
Hope this helps!
Step-by-step explanation:
Answer:
∠ABC = 84°
∠BEF = 64°
Step-by-step explanation:
∠ABC is supplementary to the 96° angle shown, so is 180° -96° = 84°.
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∠ABD, marked as (x+y)°, is a vertical angle with ∠EBC, so has the same measure, 96°. ∠BEF, marked as y°, is a vertical angle with the one marked 2x°.
These relationships can be expressed as two equations:
Using the second of these equations to substitute for y in the first equation, we have ...
x + 2x = 96
x = 96/3 = 32
y = 2x = 2·32 = 64 . . . . . . substitute the value of x into the second equation
Then ∠BEF = 64°.