Answer:
x = 4
Step-by-step explanation:
since it is an equilateral triangle, each angle is 60°. To find x, set up the equation 17x-8=60
17x = 68
x=4
Answer:
C. Divide both sides of the inequality by 4 but don't flip the symbol.
Step-by-step explanation:
When you solve an inequality, you have to get the x by itself. So, in this inequality, the first thing you would do is divide both sides of the inequality by 4. The new and solved equation would look like this:
x ≥ -6
Because multiplying by a negative, dividing by a negative, or having negatives on both sides of the inequality was not involved in solving for x, flipping the symbol is not needed.
I really hope this helps! Have an amazing day :3
Only the second set of measures qualifies as angle measures of a triangle. Angles 25°, 130°, 25°
Step-by-step explanation:
- Step 1: To find whether angles qualify as angle measures of a triangles, calculate their total sum and verify whether they add up to 180°
Set 1 - 41° + 112° + 52° = 205°
Set 2 - 25° + 130° + 25° = 180°
Set 3 - 30° + 40° + 90° = 160°
Set 4 - 132° + 141° + 31° = 304°
Therefore, only set 2 qualifies.
The circumcenter is the center of the circle which goes through the triangle's vertices, so the circumcenter of the triangle and the center of that circumscribed circle MUST be the same point.
The same goes for the incenter and the center of the inscribed circle, though these will not, in general, be the same point as the circumcenter.
