Quickly . i'll give as many points as i can! in this triangle which of the following is true? a. the measure of x is 55 degrees and a = 11.40 b. the measure of x is 22 degrees and a = 11.47 c. the measure of x is 55 degrees and a = 11.47 d. the measure of x is 55 degrees and a = 16.38

x=55

a=11.47

Step-by-step explanation:

To find x we add all the angles in the triangle.  The three angles in a triangle add to 180 degrees

35+x+90 = 180

Combine like terms

125+x=180

Subtract 125 from each side

125-125+x=180-125

x= 55

To find a

sin 35 = opposite side/ hypotenuse

sin 35 =a/20

Multiply each side by 20

20sin35 =a

11.47152873 =a

12.5 feet

step-by-step explanation:

geometry: triangles

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call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584