Answer:
Measure of CD = 17 units
Step-by-step explanation:
Perimeter of a polygon = Sum of measures of all sides of the polygon
Perimeter of the given rectangle = 2(length + width)
= 2[(x + 3) + (2x - 1)]
= 2(3x + 2) units
Perimeter of triangle EFG = EF + FG + GE
= (x - 7) + (4x - 8) + (3x + 1)
= (8x - 14)
= 2(4x - 7) units
Since, perimeters of both the figures are equal,
2(3x + 2) = 2(4x - 7)
3x + 2 = 4x - 7
4x - 3x = 7 + 2
x = 9
Measure of CD = (2x - 1)
= 2(9) - 1
= 17 units
When forming a perfect square trinomial you need to "complete the square".
All of the steps to completing the square when solving an equation:
1. The leading coefficient must be 1.
2. Divide b by 2.
3. Square (b/2)
4. Add (b/2)^2 to both sides to keep the polynomial balanced.
5. You can now write the perfect square trinomial and solve.
x^2 - 3x
-3/2
(-3/2)^2 = 9/4 = 2 1/4
LETTER B
Answer:
3x + 8y = 72
19x + y = 72
Step-by-step explanation:
dubbles = x
mimstoons = y
Standard form:
Ax + By = C
3x + 8y = 72
(x+1) is a factor of the equation.
