Answer:
see explanation
Step-by-step explanation:
The 2 marked angles are vertical and congruent, thus
24x = 23x + 5 ( subtract 23x from both sides )
x = 5
Thus angles = 24 × 5 = 120°
Answer:
3/4
Step-by-step explanation:
Convert the fractions into decimals.
5/8 = 0.625
3/4 = 0.75
0.75 is greater than 0.625.
This is linear. 8x-5y=15
-5y=15-8x
Divide -5
Y=8/5x-3.
Start at -3 on y axis and go down 8 points and right 3.
Answer:
1/8 of the budget was left for other expenses.
Step-by-step explanation:
1/4 of the budget - buildings and maintenance.
Administrative personnel : 1/4 + 1/8 = 2/8 + 1/8 = 3/8 of the budget.
Therefore:
3/8 of the budget - administrative personnel.
Public safety : 3/8 - 1/8 = 2/8 = 1/4 of the budget.
For other expenses :
1 - ( 1/4 + 3/8 + 1/4 ) = 1 - ( 2/8 + 3/8 + 2/8 ) 1 - 7/8 = 1/8
Finally, 1/8 of the total budget was for the other expenses.
