Find the missing angels please help me

2.  In a right triangle the acute angles are complementary, adding to 90°

50°

3. In a triangle the angles add to 180°

30°

4.  Two lines crossing make angles that are linear pairs, supplementary, adding to 180°.  So the interior angle next to 155° is 25°.   So the two angles so far add to 25° + 60° = 85°.

The remaining triangle angle is the supplement of that (all three add to 180) and the exterior ? angle forms a linear pair with that one, so is the supplement of the supplement, which is the angle itself.

85°

5.  The interior supplement to 156° is 24°.  The missing angle in the bottom triangle is 180°-20°-35° = 125°.   Those are vertical angles so 125° is also the angle in the second triangle.

The triangle angles sum to 180° so the ? angle is

? = 180° - 24° - 125° = 31°

31°

6. We have 55° left in the left triangle, and 180°-55°-50°=75° for the left angle in the right triangle.   That leaves ?=180°-75°-35°=70°

70°

answer: a.   one is a factor of every whole number since every number is divisible by itself.

when functions are first introduced, you will probably have some simplistic "functions" and relations to deal with, usually being just sets of points. these won't be terribly useful or interesting functions and relations, but your text wants you to get the idea of what the domain and range of a function are. small sets of points are generally the simplest sorts of relations, so your book starts with those.

step-by-step explanation:

state the domain and range of the following relation. is the relation a function?

{(2, –3), (4, 6), (3, –1), (6, 6), (2, 3)}

the above list of points, being a relationship between certain x's and certain y's, is a relation. the domain is all the x-values, and the range is all the y-values. to give the domain and the range, i just list the values without duplication:

domain: {2, 3, 4, 6}

range: {–3, –1, 3, 6}

(it is customary to list these values in numerical order, but it is not required. sets are called "unordered lists", so you can list the numbers in any order you feel like. just don't duplicate: technically, repetitions are okay in sets, but most instructors would count off for this.)

while the given set does indeed represent a relation (because x's and y's are being related to each other), the set they gave me contains two points with the same x-value: (2, –3) and (2, 3). since x = 2 gives me two possible destinations (that is, two possible y-values), then this relation is not a function.

note that all i had to do to check whether the relation was a function was to look for duplicate x-values. if you find any duplicate x-values, then the different y-values mean that you do not have a function. remember: for a relation to be a function, each x-value has to go to one, and only one, y-value.

state the domain and range of the following relation. is the relation a function?

{(–3, 5), (–2, 5), (–1, 5), (0, 5), (1, 5), (2, 5)}

i'll just list the x-values for the domain and the y-values for the range: