Answer:
- x = 37 1/2
- x = 2
Step-by-step explanation:
Parallel lines divide transversals proportionally. I like to write the proportions so the variable is in the numerator. Then the solution is obtained by multiplying by the denominator of the variable term.
1. x/20 = (46 -16)/16
x = 20(30/16)
x = 37.5
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2. (x +4)/13.5 = 4/9
x +4 = 13.5(4/9) = 6
x = 6 -4
x = 2
Let the three consecutive odd numbers be x,x+2,x+4.
Given, their sum =219
Therefore, x+x+2+x+4=219
⇒3x+6=219
Subtract 6 from both the sides,
⇒3x+6−6=219−6
⇒3x=213
⇒x=71
The other numbers are x+2=71+2=73 and x+4=71+4=75.
Therefore, threee odd numbers are 71,73 and 75.
Answer:
18 feet
Step-by-step explanation:
Use Pyth Theorem
10^2 + 15^2 = c^2
100 + 225 = c^2
325 = c^2
18.027 = c
Answer:
52 thousandths is 5.2 x 10^-2 (0.052)
Answer:
44 ft
Step-by-step explanation:
There are a couple of ways this can be worked. You could find the height of the tower, then use the Pythagorean theorem to find the wire length.
Or, you can find the wire length for the smaller triangle and scale up the result to the larger triangle. We choose this method.
The length of the wire (w) from the stake to the top of the pole is given by the Pythagorean theorem:
w² = 4² +7² = 16 +49 = 65
w = √65 . . . . . . take the square root
The base of the larger triangle is 18+4 = 22. The scale factor from the smaller to larger triangle is the ratio of base lengths: 22/4 = 11/2
The overall length of the guy wire is this ratio times "w" ...
(11/2)√65 ≈ 44 . . . . feet
