In kite wxyz, measure of angle xwy=38° and measure of angle zyw=15°

what is the measure of angle wxy?

enter your answer in the box.

m∠WXY=127°

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

Find the measure of angle XYW

we know that

The diagonal of symmetry divides the kite into two congruent triangles and it also bisects the pair of opposite angles.  

The diagonal of symmetry is the segment WY (see the attached figure)

so

m∠XYW=m∠ZYW

we have

m∠ZYW=15°

so

m∠XYW=15°

step 2

Find the measure of angle WXY

Remember that

The sum of the interior angles in a triangle must be equal to 180 degrees

so

In the triangle XYW

m∠XYW+m∠XWY+m∠WXY=180°

we have

m∠XYW=15°

m∠XWY=38°

substitute the values

15°+38°+m∠WXY=180°

53°+m∠WXY=180°

m∠WXY=180°-53°

m∠WXY=127°

m<WXY = 127

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:

i don't know, but that looks pretty bad. my school passed us unless we failed in all the subjects, but idk abt ur school's rules.

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