Answer:
angle DFG = 49 degrees
angle JKL = 41 degrees
Step-by-step explanation:
When angles are complementary with each other, it means that if you add both of the angles up, it adds up to 90 degrees.
In this question, you would have to add up angle DFG and angle JKL and find the x that makes the equation equal to 90 degrees.
angle DFG = x + 5
angle JKL = x - 3
(x + 5) + (x - 3) = 90
2x + 2 = 90
2x = 90 - 2
2x = 88
x = 44
But since we have to find out the angle measures, we have to the "x = 44" with the x's in the DFG and JKL angles.
DFG = (44) + 5 = 49
JKL = (44) - 3 = 41
The answer is option B. 11/12 = (13 3/4) /15
it could be considered a true proportion if both are equal in values.
In order to find this, you need to cross multiply the numerator and the denominator in all of those options and find which give the exact result.
11 x 15 = 13 3/4 x 12
165 = 165
Answer:
The correct answer is 9x + 7 y 
147 where Ashley works for x hours as lawn mower and y hours as babysitter per week.
Step-by-step explanation:
Ashley works in two different jobs namely mowing lawns and babysitting.
Let Ashley mow lawn for x hours and babysit for y hours in a week.
Ashley's earning for every hour she mow is $ 9. Total earning mowing lawn is $ 9x.
Ashley earns $7 for every hour she babysit. Total earning babysitting is $ 7y.
Total earning per week $ (9x + 7y).
Ashley's earning per week is at least $147.
∴ The required inequality to describe the above case is 9x + 7 y 147.
9514 1404 393
Answer:
$342.37
Step-by-step explanation:
When a quantity is marked up by x%, its marked-up price is (1 +x/100) times its original price. Tax is effectively a markup.
Louise's costs are ...
$125 + (12.50 +19.50)(1.07) = $159.24
Louise priced her painting at ...
$159.24·(1 +1.15) = $342.37
Answer: B: Independent, because the outcome of the first roll doesn't affect the outcome of the second roll.
Step-by-step explanation:
Events are independent when the outcome of one does not effect the other. Rolling dice for example: If you roll an even number on your first cube, there is no way that it will effect the roll on the second cube, hence the two events are independent.
