Angles that create a triangle always add up to 180.
To find sides that create triangles, we have to use the Triangle Inequality Theorem.
It's where side A + B will <em>always</em> be greater than side C
and B + C will always be greater than side A
<em>and</em> A + C will always be greater than side B.
So let's check all of these answers and pick the one that's incorrect.
A.
10 + 25 + 145 = 180?
Correct!
B.
9 + 15 > 9?
Correct!
15 + 9 > 9?
Correct!
9 + 9 > 15?
Correct!
C.
40 + 70 + 60 = 180?
Incorrect! 40 + 70 + 60 = 175 which is less than 180.
The answer is three angles measuring 40 m, 70 m, and 60 m.
Hope this helped! If you have anymore questions or don't understand, please comment or DM me. :)
Answer:
4
Step-by-step explanation:
It works with the second one
Wheres the picture? It’s not showing up.
The only option that fits is E, because:
f(10)=4×10+10=50
Option C:
The measure of arc CD is 40°.
Solution:
Given data:
m∠X = 11° and m(arc AB) = 18°
To find the measure of arc CD:
We know that,
<em>Angle formed by two intersecting secants outside the circle is equal to half of the difference between the intercepted arcs.</em>


Multiply by 2 on both sides.
22° = arc CD - 18°
Add 18° from both sides.
40° = arc CD
Switch the sides.
arc CD = 40°
Hence the measure of arc CD is 40°.
Option B is the correct answer.