Answer:
50°
Step-by-step explanation:
angle 5 = angle 4 ( Alternative Interior Angles are equal )
But angle 3 & angle 4 are linear pairs. So,
angle 3 + angle 4 = 180°
=> angle 3 + angle 5 = 180° (angle 5 = angle 4)
=> angle 3 + 130° = 180°
=> angle 3 = 180° - 130° = 50°
There are 204 teddy bears in the shipment.
Step-by-step explanation:
Total number of cases received = 17 cases
Numbers of bears per case = 12 bears
Total number of bears in the shipment = Cases received * Bears per case
Total number of bears = 
Total number of bears = 204
There are 204 teddy bears in the shipment.
Keywords: multiplication
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Answer:
3.34166666666666
Step-by-step explanation:
Answer:
71°
Step-by-step explanation:
The angle of elevation of the hill can be obtiaed using trigonometry :
Given
the opposite length = 14.5 feets
Adjacent = 5 feets
The angle of elevation vabnbe obtained using :
Tan θ = opposite / Adjacent
Where θ = angle of elevation
Tan θ = 14.5 / 5
Tan θ = 2.9
θ = tan^-1(2.9)
θ = 70.97 = 71°
Use the distributive property.
9/10 (x + 8) = 18
9/10x + 7.2 = 18
9/10x + 7.2 - 7.2 = 18 - 7.2
9/10x = 10.8
9/10x / 9/10 = 10.8 / 9/10
x = 12
