Answer:
Triangle
Step-by-step explanation:
A triangle has three vertexes, and therefore three interior angles. Those angles also sum to 180 degrees because of the formula (n-2)*180, where n is the number of sides that a polygon has. Plugging in 3, you get 
, or just 180 degrees. Hope this helps!
Answer:
a>−6
Step-by-step explanation:
−4(1−5a)>−124
Step 1: Simplify both sides of the inequality.
20a−4>−124
Step 2: Add 4 to both sides.
20a−4+4>−124+4
20a>−120
Step 3: Divide both sides by 20.
20a/20> −120/20
a>−6
Total height of lumber, H = 10 1/2 feet = 21/2 feet .
Height of side panel, h = 5 2/3 feet = 17/3 feet .
Now,
Extra lumber required, L = 2 × Height of side panel - Total height of lumber
![L=[2\times (\dfrac{17}{3})]-\dfrac{21}{2}\\\\L = \dfrac{5}{6}\ feet](https://tex.z-dn.net/?f=L%3D%5B2%5Ctimes%20%28%5Cdfrac%7B17%7D%7B3%7D%29%5D-%5Cdfrac%7B21%7D%7B2%7D%5C%5C%5C%5CL%20%3D%20%5Cdfrac%7B5%7D%7B6%7D%5C%20feet)
Therefore, extra lumber required is 
feet.
Hence, this is the required solution.
Answer:
I believe there are 70 students in the theater!
Step-by-step explanation:
In the ratio 2:3 going to 28:? there is a pattern. You multiply 2 by 14 to get to 28, so if you multiply 3 by 14 you get 42. Add 42 to 28 for the total amount of students in class!
Have a nice night!
Answer:
A. length = 23 cm; width = 5 cm
Step-by-step explanation:
So if 4 times the width would be 
and 3 more than would be 
, the equation would be 
. If the perimeter is 56, then the new equation, 
can be formed. This simplifies to 
, then to 
, then to 
, and finally, 
. So the width is 5, and now plug it into the first equation.
, becomes 
, becomes 
.
So the dimensions are: length = 23 cm, width = 5 cm.
*And just to be sure, 
which is correct.
