Answer:
x = 200/3
Step-by-step explanation:
Apply Thales theorem, we have:
80/(2x) = 60/27
Let's simplify both sides:
40/x = 20/9
or
x/40 = 9/20
Multiplying both sides by 40, we have:
(40/40)x = (20/9)*40
Let's simplify one more time:
x = (20*40)/(9)
or
x = 200/3
Hope this helps!
Answer:
x = -9/2
Step-by-step explanation:
1. Divide 9 by -1/3:
÷ 
= · 
= -27
2. Divide both sides by 2:
2(x - 9) = -27
(x - 9) = 
3. Add 9 to both sides:
x = 
(or 4.5 if you need it in decimal form)
hope this helps!
Answer:
Vertical distance between the valley and the summit = 8062.5 ft
Step-by-step explanation:
Distances above the sea level are denoted by positive notations and below the sea level by negative notation.
Summit of a mountain pass = 8050 (above the sea level)
Valley below the sea level = 12 and half ft = (-12.5) ft
Distance between the summit and the valley = 8050 - (-12.5)
= 8050 + 12.5
= 8062.5 ft
Therefore, Vertical distance = 8062.5 ft will be the answer.
Hello from MrBillDoesMath!
Answer:
40
Discussion:
A diagram is always appreciated!
Assuming that
mAOC = mAOB + mBOC =>
108 = (3x + 4) + (8x - 28) => combine common terms
108 = (3x + 8x) + (4 - 28 ) =>
108 = 11x - 24 => add 24 to both sides
132 = 11x =>
x = 132/11 = 12
So mAOB = 3x + 4 = 3(12) + 4 = 36 + 4 = 40
Thank you,
MrB
Answer:
4/5
Step-by-step explanation:
sine is opposite over hypotenuse,
so it's 40/50=4/5
