Part A
The first thing we must do for this case is to rewrite both expressions.
We have then:
1/2 (7x + 48) = (7/2) x + 24
- [1 / 2x - 3] + 4 (x + 5) = - (1/2) x + 3 + 4x + 20 = (7/2) x + 23
Answer:
We note that the first expression is greater than the second for all values of x.
Part B:
A new expression that is greater than both written expressions is:
(7/2) x + 25
For all values of x, this expression is always greater.
Answer:
(7/2) x + 25
Answer:
AB ║ CD, reason If two lines (AB and CD) and a transversal AD, form alternate interior angles, (∠1 and ∠4) that are congruent, then the two lines are parallel
Step-by-step explanation:
Statement, Reason
Triangle ACD is isosceles, Given
∠1 ≅ ∠3, Given
∠3 ≅ ∠4, Base angles of isosceles triangle
∠1 ≅ ∠4, Substitution
∠1 and ∠4, are alt int. ∠s, Definition
AB ║ CD, Have congruent alternate interior angles
If two lines (AB and CD) and a transversal AD, form alternate interior angles, (∠1 and ∠4) that are congruent, then the two lines are parallel
Answer: Square root (52), No
Step-by-step explanation:
We just need to substitute in 6 whether we see an x:
(7*6) - 4*(6-6) + 12
= 42 - 4*0 + 12
=54
Answer:
$330
Step-by-step explanation: