I think the answer for the x will be 37.4 degrees. Hope it help!
Answer:
<em>TZ = 24</em>
Step-by-step explanation:
<u>Similar Triangles</u>
If two triangles are similar, then:
* All the corresponding side lengths are proportional by the same scale factor
* All the internal angles are congruent.
The image provided in the question has two similar triangles TYZ and TWX. We have completed the shape with a variable p =TZ, whose value will be determined by applying the first similarity condition above.
The ratio between the heights is 20:16, and the proportion between the bases is (6+p):p, thus:
Cross-multiplying denominators:
4(6 + p) = 5p
24 + 4p = 5p
Solving for p:
p = 24
Then, TZ = 24
The next number is 14 I believe
First you need to simplify the ratio so divide 3 by 5, to come out with 1:0.6.
Then solve for the unknown then add the unknown to the known for the sum