Use properties of equality to solve these equations. identify the properties used and describe how you used them. pls 6. (–5 • 7)25 = x(7 • 25) 7. 5x = 0 8. 63 = 1x 9. 1/8x=1 10. 65 • 92 • 17 = 92 • 17 • x

10. 65 = x

9. 8 = x

8. 63 = x [it gave you the answer]

7. 0 = x

6. -5 = x

Step-by-step explanation:

#6 uses the Associative Property of Multiplication. #7 uses the Zero Product Property of Multiplication. #8 gave you the answer because x = 1x. For #9, you have to multiply ⅛ by its multiplicative inverse [reciprocal (8)] to get 1. #10 uses the Commutative Property of Multiplication.

**Associative and Commutative are the same thing, EXCEPT Commutative does NOT use grouping symbols. Associative does.

answer is 8x+24

area of vanessa's patio = length × width

given, length = (3x² + 5x + 10)

width = (x² - 3x - 1)

area of vanessa's patio = (3x² + 5x + 10)(x² - 3x - 1)

= 3x²(x² - 3x - 1) + 5x(x² - 3x - 1) + 10(x² - 3x - 1)

= 3x⁴ - 9x³ - 3x² + 5x³ - 15x² - 5x + 10x² - 30x - 10

= 3x⁴ - 4x³ - 8x² - 35x - 10

hence, expression of vanessa's patio = (3x⁴ - 4x³ - 8x² - 35x - 10)

step-by-step explanation:

two pairs of adjacent sides are of equal length. this implies that one diagonal divides the kite into congruent triangles, and so the angles between the two pairs of equal sides are equal in measure. it also implies that the diagonals are perpendicular.