Supplementary angles add up to 180 degrees-
Let x = "the angle"
supplement angle = 2x + 12 // 12 more than twice the measurement of "the angle"
Supplement angle + "the angle" = 180 degrees
(2x + 12) + x = 180 degrees // 2x + 12 is the supplement angle
3x + 12 = 180 // Simplify
3x = 168 // Subtract 12 from both sides
x = 56 degrees // Divide both sides by 3
The measure of the angle is 56° and its supplement is 124°
20 7
----- = ------
100 x
100 x 7 = 700
700/20 = 35
X = 35
The length is 0.5 and your welcome the explanation is long but this is the answer
Answer: 
Step-by-step explanation:
Observe in the figure given in the exercise that four right triangles are formed.
In this case you can use the following Trigonometric Identity to solve this exercise:
From the figure you can identify that:
Then, you can substitute values:
The next step is to solve for DE in order to find its value. This is:
Finally, rounding the result to the nearest tenth, you get that this is:
Answer:
D: 2/4
Step-by-step explanation:
Usually when we talk about a point partitioning a segment, we are interested in the ratio of the first segment to the second:
BC : CD = 2 : 2 = 1 : 1
Since this is not an answer choice, we need to "reverse engineer" the answer list to see if we can find an answer that corresponds to a reasonable interpretation of the question.
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None of the segments is 3 units long, so neither of answer choices A or B makes any sense.
While segment BD is 4 units long, there is no segment that is 1 unit long, so answer choice C makes no sense, either.
There are segments that are 2 units long and a segment that is 4 units long, so if we interpret the question to be "what is the ratio of BC to BD?" then answer choice D is appropriate.
