Answer:
x + y = 14
Step-by-step explanation:
Parallel lines have the same slope, so the line's slope will be -1.
Plug this slope and the given point into y = mx + b to find b:
y = mx + b
4 = -1(10) + b
4 = -10 + b
14 = b
Then, plug this and the slope into y = mx + b
y = -x + 14
Then, put this into standard form by moving the x to the other side:
x + y = 14 is the equation in standard form
Parallel lines are the top & bottom lines - labelled 10 & 2
A = 0.5(2+10) x 2
=12 units^2
Hope this helps!
Answer:
- building: 222.61 ft
- flagpole: 32.15 ft
Step-by-step explanation:
The tangent function of an angle in a right triangle is the ratio of the opposite side to the adjacent side. Here, the adjacent side is 500 ft, so we have ...
tan(24°) = (building height)/(500 ft)
building height = (500 ft)tan(24°) ≈ 222.61 ft
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Similarly, the height to the top of the flagpole is ...
total height = (500 ft)tan(27°) ≈ 254.76 ft
The length of the flagpole is the difference of these heights:
flagpole length = 254.76 ft -222.61 ft = 32.15 ft
The height of the building is 222.61 ft; the length of the flagpole is 32.15 ft.
54+36=90<span>90÷6=15
So 15 is your answer</span>
