Suppose the triangles shown below are congruent. What is the value of each variable? The image shows two right triangles. Both triangles are marked with sets of congruent sides, indicated by identical tick marks.**Left Triangle:**- One side is labeled \(7x - 4\).- Another side is labeled \(4y + 8\).**Right Triangle:**- One corresponding side is labeled \(24\).- The other corresponding side is labeled \(31\).The triangles are drawn in a way that suggests they are similar, sharing proportional side lengths.Below the triangles, there are prompts for entering the values of \(x\) and \(y\):- \(x =\) [type your answer...]- \(y =\) [type your answer...]To solve this problem, you should use the properties of similar triangles, setting up equations based on the proportional sides and solving for \(x\) and \(y\).

Please refer the attached image for complete solution.THANK YOU.

Answered: 24 %23 31 7x-4 4y+8 X = type your…

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

See similar textbooks

Related questions

Question

Suppose the triangles shown below are congruent. What is the value of each variable?

The image shows two right triangles. Both triangles are marked with sets of congruent sides, indicated by identical tick marks.

**Left Triangle:**
- One side is labeled \(7x - 4\).
- Another side is labeled \(4y + 8\).

**Right Triangle:**
- One corresponding side is labeled \(24\).
- The other corresponding side is labeled \(31\).

The triangles are drawn in a way that suggests they are similar, sharing proportional side lengths.

Below the triangles, there are prompts for entering the values of \(x\) and \(y\):
- \(x =\) [type your answer...]
- \(y =\) [type your answer...]

To solve this problem, you should use the properties of similar triangles, setting up equations based on the proportional sides and solving for \(x\) and \(y\).

Polygon with three sides, three angles, and three vertices. Based on the properties of each side, the types of triangles are scalene (triangle with three three different lengths and three different angles), isosceles (angle with two equal sides and two equal angles), and equilateral (three equal sides and three angles of 60°). The types of angles are acute (less than 90°); obtuse (greater than 90°); and right (90°).

Expert Solution