Both of these problems will be solved in a similar way, but with different numbers. First, we set up an equation with the values given. Then, we solve. Lastly, we plug into the original expressions to solve for the angles.
[23] ABD = 42°, DBC = 35°
(4x - 2) + (3x + 2) = 77°
4x+ 3x + 2 - 2 = 77°
4x+ 3x= 77°
7x= 77°
x= 11°
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ABD = (4x - 2) = (4(11°) - 2) = 44° - 2 = 42°
DBC = (3x + 2) = (3(11°) + 2) = 33° + 2 = 35°
[24] ABD = 62°, DBC = 78°
(4x - 8) + (4x + 8) = 140°
4x + 4x + 8 - 8 = 140°
4x + 4x = 140°
8x = 140°
8x = 140°
x = 17.5°
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ABD = (4x - 8) = (4(17.5°) - 8) = 70° - 8° = 62°
DBC =(4x + 8) = (4(17.5°) + 8) = 70° + 8° = 78°
Answer:
it's 273 ..
Step-by-step explanation:
the LCM of 27, 30 and 45 is 270.
adding up a 3 to it will give the smallest value of n. so 270 + 3 = 273.
umm .. hope it helps ?! fanks -
Answer:
1. 2
2. 3
3. Not exactly sure what it's asking but t would equal -4.5
Answer:
i once took a pic of my HW on this app and got it finished in under 10 minutes
By definition of the trig functions,
We have , so , and , so .
Just to check: we should have
by the Pythagorean theorem. Indeed,