Hello!
So a tangent line is perpendicular to the radius, which means it creates a 90 degree angle with the radius of the circle. The sum of the interior angles of any triangle is 180 degrees. To determine if line BC is a tangent line, we have to determine if angle ABC is 90 degrees. Well we know the degrees of the other two angles of the triangle, so let's set up an equation:
180 = 48 + 47 + x
180 = 95 + x
85 = x
Since angle ABC must be 85 degrees (not 90), line BC is not a tangent line.
Answer:
<span>BC←→ is not a tangent line because m∠ABC ≠ 90°.</span>
Answer:
-12.8
Hope this helps! :)
Question 6 is 2
question 7 I cannot see after the x
1. consider one angle of a (convex) heptagon. From that angle you can construct 7-3=4 diagonals. (-3 because we cannot create diagonals with the adjacent vertices and the angle itself )
2. 4 diagonals create 5 triangular regions. (check the picture)
3. So the sum of the measures of the interior angles of the heptagon is 180°*5=900°.
4. The measure of the remaining 7th interior angle is 900°-(120+150+135+170+90+125)°=110°.
5. The largest exterior angle is when the interior angle is the smallest.
6. The smallest interior angle is 90°, so the largest exterior angle is 180°-90°=90°
Answer: 90°
<span><span><span>x+2 / </span><span>x+8 / </span></span><span><span>2x/</span>3
</span></span><span>=<span><span>x+2 / </span><span><span><span>2/3</span><span>x^2 </span></span>+ <span><span>16/3</span>x
</span></span></span></span><span>=<span><span>3<span>(<span>x+2</span>) / </span></span><span><span>2x</span><span>(<span>x+8</span>)
</span></span></span></span><span>=<span><span><span>3x</span>+6 / </span><span><span>2<span>x^2</span></span>+<span>16<span>x</span></span></span></span></span>