Answer:
(a) 412 ft
(b) 276 ft
Step-by-step explanation:
Consider the attached diagram.
(a) The internal angle of triangle RBT at B is 90° -10° = 80°. Since we know lengths RB and BT, we can find the length RT using the law of cosines:
RT² = RB² +BT² -2·RB·BT·cos(80°) = 190² +400² -2·190·400·cos(80°)
RT² ≈ 169,705.477
RT ≈ √169,705.477 ≈ 411.95
The guy wire to the hillside should be about 412 feet long.
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(b) The Pythagorean theorem can be used to find the shorter wire length.
LM² = LB² +MB²
LM = √(190² +200²) = √76,100
LM ≈ 275.86
The guy wire to the flat side should be about 276 feet long.
4x + x = 150, x=30 (shorter piece)
5x=150
x=150/5 = 30
4x=120
x=30
total = 150
Answer:
it is a dilation of the first triangle and if 5 = 6 then its just adding 1
Step-by-step explanation:
x = 11, y = 9
have a great day! hope this helps :)
I think it is factored out like this:
1/3(b-1)
Answer:
x = 78° , y = 115°
Step-by-step explanation:
The angle adjacent to x on the left side is corresponding to 102° , then
x = 180° - 102° = 78°
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y and 115° are corresponding angles and congruent, then
y = 115°