Answer: 
Step-by-step explanation:
Given, the length of the rectangular dog run is 18 feet.
Formula: Perimeter = 2 ( length + width)
Let width be x.
Then, Perimeter = 2 (18 + x ) feet
The perimeter of the dog run must be at least 42 feet and no more than 72 feet.
That is

Divide inequality by 2, we get

Subtract 18 from each side, we get

Required inequality : 
Answer:
300miles
Step-by-step explanation:
If you are driving 75 miles per hour, and you need to know how many miles you will have drive in 4 hours. Multiply 4 by 75 to get 300.
75mi 4 hr
____ x___ = 75mi x 4 = 300miles
1 hr y
Answer:
B) No, supplementary angles are either of two angles whose sum is 180 degrees.
C) Yes, the triangles are congruent because the triangles have exactly the same size and shape
Step-by-step explanation:
B) From the image below an 180 degree angle would be obtuse in which neither angle appears to be so they are not supplementary.
C) They are congruent because they are taking angles of the same angles as one another just on different sides of the shape.
Answer:
A = (2x² + 4x + 1) (8 − x)
A = -2x³ + 12x² + 31x + 8
Step-by-step explanation:
W = 2x² + 4x + 1
L = 8 − x
Area is width times length.
A = (2x² + 4x + 1) (8 − x)
If you wish, you can simplify with distribution.
A = 8 (2x² + 4x + 1) − x (2x² + 4x + 1)
A = 16x² + 32x + 8 − 2x³ − 4x² − x
A = -2x³ + 12x² + 31x + 8
Answer:
<em>She need </em><em>72 </em><em>index cards.</em>
Step-by-step explanation:
Ms. James has a 6 square foot bulletin board and a 12 square food bulletin board and she wants to cover both boards with index cards without gaps or overlaps.
Each index card has an area of
square foot.
Dividing the area of each board with the area of the index card will yield the the number of cards she needs to cover up completely.
Let us assume T₁ and T₂ are the number of cards she needs to cover 6 square feet food bulletin board and 12 square feet food bulletin board respectively. So

Therefore, in total she need 24+48=72 index cards.