Find the value of x to the nearest tenth. 4 Answer: 2 8

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
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**Problem Statement:**
Find the value of \( x \) to the nearest tenth.

**Diagram Description:**
The image depicts a right-angled triangle with an additional smaller right-angled triangle inside it, forming a geometric shape. The lengths of the sides are labeled as follows:
- The hypotenuse of the larger right triangle is 8.
- One of the legs of the larger right triangle, adjacent to the hypotenuse, is labeled \( x \).
- The two legs of the smaller right triangle are labeled 2 and 4.

**Answer Submission:**
There is a section for inputting the answer:
- A text box labeled 'Answer:' for submitting the value of \( x \).
- A 'Submit Answer' button next to the text box for finalizing the submission.

**Graphical Details:**
- The right-angle in the larger right triangle is clearly shown.
- The smaller right triangle is nested inside the larger one, showing that the hypotenuse of the smaller triangle forms part of the side of the larger triangle.

**Additional Notes:**
- The right-angle signifier, typically a small square in the corner of the angle, is present in both triangles.
- The question requires using the Pythagorean theorem to solve for \( x \), given the known side lengths of the triangle components.

Make sure to carefully calculate the value of \( x \) by applying geometric principles and confirm the answer to the required precision.
Transcribed Image Text:**Problem Statement:** Find the value of \( x \) to the nearest tenth. **Diagram Description:** The image depicts a right-angled triangle with an additional smaller right-angled triangle inside it, forming a geometric shape. The lengths of the sides are labeled as follows: - The hypotenuse of the larger right triangle is 8. - One of the legs of the larger right triangle, adjacent to the hypotenuse, is labeled \( x \). - The two legs of the smaller right triangle are labeled 2 and 4. **Answer Submission:** There is a section for inputting the answer: - A text box labeled 'Answer:' for submitting the value of \( x \). - A 'Submit Answer' button next to the text box for finalizing the submission. **Graphical Details:** - The right-angle in the larger right triangle is clearly shown. - The smaller right triangle is nested inside the larger one, showing that the hypotenuse of the smaller triangle forms part of the side of the larger triangle. **Additional Notes:** - The right-angle signifier, typically a small square in the corner of the angle, is present in both triangles. - The question requires using the Pythagorean theorem to solve for \( x \), given the known side lengths of the triangle components. Make sure to carefully calculate the value of \( x \) by applying geometric principles and confirm the answer to the required precision.
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