X shortest piece
X+6 middle piece
X+8 longest piece
Add them
3x+14=56
3x=42
X=42/3=14
The five numbers can be represented by (2n+1), (2n+3), (2n+5), (2n+7), and (2n+9), where n is an integer.
<span>2n+9 = 15 </span>
<span>n = 3 </span>
<span>The third number is 2n+5 = 11</span>
Answer:
6
Step-by-step explanation:
Split the shape into two shapes, one square and one triangle.
Find the area of the square and area of triangle.
area of square = 2 × 2 = 4
The height of the triangle is 4 - 2 = 2 units.
area of triangle = 2 × 2 × 1/2 = 2
Add the areas.
4 + 2 = 6
The area is 6 units².
Answer:
x = 2
Step-by-step explanation:
I used the process of substitution to do this.
<em>1. put </em><em>both</em><em> equations into </em><em>slope-intercept form:</em>
y = 3x - 5
y = -2x + 5
<em>2. since they </em><em>both equal y</em><em>, they must </em><em>equal each other:</em>
3x - 5 = -2x + 5
<em>3. </em><em>simplify:</em>
2 = x
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