Answer:
11 5/12 inches
Step-by-step explanation:
32 1/4 - 20 5/6 = 11 5/12
The sum of the interior angles of a triangle is 180 degrees.
1.) Translating the problem into equation:
7:11:12 = 180 degrees
7x+11x+12x = 180 degrees; Where x = missing number
30x = 180
30x/30 = 180/30 divide both sides by 30
x = 6
2.) Substitute the values:
7x+11x+12x = 180
7(6)+11(6)+12(6) = 180
42+66+72 = 180
180 = 180
3.) Therefore, the angles should be 42 degrees, 66 degrees and 72 degrees.
4.) See attached drawing of triangle
F(x)=2x^2+5x-8 is an example of a non-linear equation. Anything with x is linear, anything with x raised to a power (any power except 0 and 1) is non-linear.
Answer:
S= 5, L= 12
Step-by-step explanation:
To find the value of L and S, we need to first label the 2 equations.
L +S= 17 -----(1)
3L +2S= 46 -----(2)
From (1):
L= 17 -S -----(3) <em>(</em><em>-S</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>)</em>
Subst. (3) into (2):
3(17-S) +2S= 46
3(17) -3S +2S= 46 <em> </em><em>(</em><em>expand</em><em>)</em>
51 -S= 46
-S= 46 -51 <em>(</em><em>-51</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>)</em>
-S= -5
S= 5 <em>(</em><em>divide</em><em> </em><em>by</em><em> </em><em>-1</em><em> </em><em>throughout</em><em>)</em>
Subst. S=5 into (3):
L= 17 -5
L= 12
48 divided by 9 is 5 with a remainder of 3...