(2)^4-2(2)^3-6(2)^2+5
16-64-144+5
-187
3 1/4 = 3.25
1 mile = 5280
5280 * 3.25 = 17,160
Correct answer is D. 17,160
Answer:
a) x: 0,1,2,3,4,5,6,7,8
y: 0,8,16,24,32,48,56,64
b) label the horizontal line number of yards. The vertical line is costs, label each unit in 8s.
c) constant of porportionality is 8
d) y=8x
The total salary was $656.64 including his hourly wage and his commission.
The amount of total sales was $3,344.
6% * $3,344 = 0.06(3344) is his commission.
His wage is $12 per hour, so he earns 12h for working h hours.
656.64 = 12h + 0.06(3344)
Answer:
a) ∠2 and ∠4 are a linear pair
∠4 = 115°
b) ∠2 and ∠7 are alternate exterior angles
∠7 = 65°
c) ∠2 and ∠3 are vertical angles
∠3 = 65°
Step-by-step explanation:
Linear pair : a pair of adjacent angles formed when two lines intersect. The two angles of a linear pair are always supplementary (two angles whose measures add up to 180°)
Alternate exterior angles : when two parallel lines are cut by a transversal (a line that intersects two or more other, often parallel, lines), the resulting alternate exterior angles are <u>congruent</u>.
Vertical angles : a pair of opposite angles formed by intersecting lines. Vertical angles are always <u>congruent.</u>
a) ∠2 and ∠4 are a linear pair
⇒ ∠2 +∠4 = 180
⇒ 65 + ∠4 = 180
⇒ ∠4 = 180 - 65
⇒ ∠4 = 115°
b) ∠2 and ∠7 are alternate exterior angles
⇒ ∠2 ≅ ∠7
⇒ ∠7 = 65°
c) ∠2 and ∠3 are vertical angles
⇒ ∠2 ≅ ∠3
⇒ ∠3 = 65°
