Amy: x skirts
Betty: 2x skirts
Carol: (2x) + 7 skirts
If Amy has 18 less than Carol, than Carol's equation minus 18 equals Amy's equation:
[(2x) + 7] - 18 = x
+18 +18
(2x) + 7 = x + 18
- 7 -7
2x = x + 11
-x -x
x = 11
Input the solution for x into the girls equation to double check.
Amy: 11
Betty: 2(x)
2(11)
=22
Carol: (2x) + 7
22 + 7
=29
Does Amy have 18 less than Carol?
Carol - Amy = 18
29 - 11 = 18
18 = 18
the problem is solved
Explanation:
Lines will have same slope if they make the same angle with respect to the vertical or horizontal
__
The similarity statement ∆QRS ~ ∆TUV tells you that ∠R ≅ ∠U.
Angle R is the angle measured clockwise from vertical segment RQ to segment RS. Angle U is the angle measured clockwise from vertical segment UT to segment UV.
Segments RS and UV both make the same angle with a vertical segment, so have the same slope.
Answer:
16
Step-by-step explanation:
Perfect square in the quadratic from ax² + bx + c
You know an equation is perfect when:
2√(ax²)√(c) = bx
Substitute x² for ax² and 8x for bx. Then isolate c by doing the reverse operations.
2√(ax²)√(c) = bx
2√(x²)√(c) = 8x
2x√c = 8x Divide both sides by 2x
√c = 4 Square both sides to isolate c.
c = 16
The missing constant term is 16.
Check answer:
x² - 8x + 16
(x - 4)²
= (x - 4)(x - 4)
= x² - 4x - 4x + 16
= x² - 8x + 16
