Answer:
Step-by-step explanation:
Answer:
x < -9
Step-by-step explanation:
Hi there,
To isolate the variable x, you do the same steps like solving a regular equation.
x + 5 < -4 ← subtract 5 from both sides to make x by itself
x < -9 ← final answer (already in simplest form)
Hope this explanation helps. Cheers.
Answer: The correct option is
(E) 70.
Step-by-step explanation: We are given to find the number of triangles and quadrilaterals altogether that can be formed using the vertices of a 7-sided regular polygon.
To form a triangle, we need any 3 vertices of the 7-sided regular polygon. So, the number of triangles that can be formed is

Also, to form a quadrilateral, we need any 4 vertices of the 7-sided regular polygon. So, the number of quadrilateral that can be formed is

Therefore, the total number of triangles and quadrilaterals is

Thus, option (E) is CORRECT.
Answer:
○ 
Step-by-step explanation:
Use the Triangular Interior Angles Theorem to figure this out:
180° = [3x]° + [2x]° + [5x]°
![\displaystyle \frac{180°}{10°} = \frac{[10x]°}{10°} \\ \\ 18 = x](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7B180%C2%B0%7D%7B10%C2%B0%7D%20%3D%20%5Cfrac%7B%5B10x%5D%C2%B0%7D%7B10%C2%B0%7D%20%5C%5C%20%5C%5C%2018%20%3D%20x)
Plug this back into the <em>m</em>∠<em>L</em><em> </em>to get 54°.
I am joyous to assist you anytime.