Answer:
the second one dose I believe
Answer:
The exterior angles need to equal 360 degrees.
You have 70 + 65 + 75 = 210
So 2x + 3x need to equal 360 - 210 = 150
5x = 150
x = 150 /5 = 30
2x = 2 *30 = 60
3x = x *30 = 90
An interior angle and an exterior angle need to equal 180 degrees.
The largest interior angle would need to correspond with the smallest exterior angle.
The smallest exterior angle is 2x which equals 60 degrees.
The largest interior angle would be 180 - 60 = 120 degrees.
Answer: NP = 9 inches
Step-by-step explanation:
In a parallelogram, the opposite sides are equal.
If the length of the longer side is MN, it means that the length of the two opposite longer sides is 2MN.
If the length of the shorter side is NP, it means that the length of the two opposite shorter sides is 2NP.
The perimeter is 2MN + 2NP
If the perimeter of MNPQ is 68 inches, it means that
2MN + 2NP = 68- - - - - - - - - - - -1
In parallelogram MNPQ, side MN is seven inches longer than twice the length of side NP. It means that
MN = 2NP + 7- - - - - - - - - - -2
Substituting equation 2 into equation 1, it becomes
2(2NP + 7) + 2NP = 68
4NP + 14 + 2NP = 68
4NP + 2NP = 68 - 14
6NP = 54
NP = 54/6
NP = 9 inches
Answer:
Her pay for the week= $ 611.325
Step-by-step explanation:
Sallie is paid $ 11.40 per hour for regular hours.
The total regular hours worked during the week are
Monday + Tuesday + Wednesday + Thursday+ friday = 8 + 8+ 8+6+8= 38 hours
She works overtime during the week
Monday + Tuesday + Wednesday = 2+ 1/4+ 1 1/2= 2+ 1/4 + 3/2
= 8 +1+ 6/4=15/4 = 3 3/4 hours
Over the weekend she works five hours .
So the total pay would be
$ 11.40( 38 ) + $ 11.40( 1.5) ( 15/4) + $ 11.40 ( 2) ( 5)
= 433.2 + 64.125 + 114.0
= $ 611.325
The range of the function is
Explanation:
The function is
The domain of the function is
We need to find the range of the function.
The range can be determined by substituting the values of domain in the function.
Thus, the range of the function when the domain is -3 is given by
Thus, the range is -19 when
The range of the function when the domain is 0 is given by
Thus, the range is -4 when
The range of the function when the domain is 4 is given by
Thus, the range is 16 when
Thus, the range of the function is when their corresponding domain is
Arranging the range in order from least to greatest is given by
Hence, the range of the function is