Simplify and evaluate
9) 6x^2 - 27 + 4x^3
10) -7x2 - 5x + 9
Things to remember the sum of the measures of the interior and exterior angles at each vertex is 180 (supplementary angles)
add and equal to 180
3x-5+5x+17= 180
8x+12=180
8x= 168
x=21
substitute in the algebraic expression for exterior angle
3(21) -5=
63-5=58
58 degrees is the exterior angle
hope this helps
Answer:
Smaller=18 degrees; larger= 162 degrees
Step-by-step explanation:
ok so first supplementary angles mean that the two angles added together will equal 180 degrees.
so 1x + 9x = 180 (combine like terms)
10x=180 (divide each side by 10)
x=18
so the smaller angle is 18 because its only 1x, and the larger angle is 162 because 18x9=162
check: 18 + 162 = 180
Answer:
6.8 cubic feet
Step-by-step explanation:
7.3/4=1.825, which is the side length, 1.825*1.825=20.2575 and then ypu divide 20.2575 by 3 because it is a pyramid and that gives you 6.7525
Answer:
36in²
Step-by-step explanation:
<h3>Area of the White Region: </h3>
A = l * w
The rectangle is 3 by 2.
A = 3 * 2
A = 6
The white part of the rectangle is 6in².
<h3>Area of the blue region:</h3>
A = l * w
The rectangle is 6 by 7.
A = 6*7
A = 42
The blue part of the rectangle is 42in².
<h3>Area of the shaded region:</h3>
[area of the blue part] - [area of the white part]
42 - 6 = 36
The area of the shaded region should be 36in².
