Answer:
<u>Use Pythagorean:</u>
<h3>#1</h3>
- x² = 16² - 8²
- x² = 192
- x = √192
- x = 12.73, not an integer
<u>Not a Pythagorean triple</u>
<h3>#2</h3>
- x² = 40² + 9²
- x² = 1681
- x = √1681
- x = 41
<u>It is a Pythagorean triple (9, 40, 41)</u>
<h3>#3</h3>
- x² = 6² + 13²
- x² = 205
- x = √205
- x = 14.32, not an integer
<u>Not a Pythagorean triple</u>
Answer:

Step-by-step explanation:

Answer:
x = 67°
Step-by-step explanation:
angle FGD and angle CGE are vertical angles, meaning that they both have the same value. This concludes that angle FGD must be 23°. Now, we have to find angle x. We know that angle x and angle FGD are complementary, meaning they sum to 90°. Therefore, x = 90° - 23° = 67°.