Answer:
x = 8
length is 12 meters
width is 9 meters
Step-by-step explanation:
P = 2l + 2w
where l is the length and w is the width.
(There are two sides with the same length, and two sides with the same width.)
Let l = x + 4 and w = 2x - 7
so 2(x+4) + 2(2x-7) = 42
Distribute the 2s
2x + 8 + 4x - 14 = 42
Combine like terms
2x + 4x + 8 - 14 = 42
Group
6x - 6 = 42
Add 6 to both sides
6x = 48
Divide 6 on both sides
x = 8
Plug back in
l = 8 + 4 = 12 meters
and w = 2(8) - 7 = 16 - 7 = 9 meters
Double-check: 2 * 12 + 2 * 9 = 24 + 18 = 42
Step-by-step explanation:
Alternate interior angles are non-adjacent interior angles that do not have a common vertex on alternate sides of the transversal. These types of angles have the same measure.
Answer:
1) C 2)B
Step-by-step explanation:
1) Grants and scholarships= $6000
By the Given table
Total of tuition fee, room and board for year = $18,391
Tuition fee you have to pay after grants and scholarships for year = 18391 - 6000
= $ 12391
As one year have 2 semesters so fee for each semester would be
= 
=$ 6195.50
which is option B
2) Grants and scholarships= $16250
By the Given table
Total of tuition fee, room and board for year = $18,391
Tuition fee you have to pay after grants and scholarships for year = 18391 - 16250
= $ 2141
As one year have 2 semesters so fee for each semester would be
= 
=$ 1070.50
which is option B
Answer: 189.028 AU.
Step-by-step explanation:
Given: The radius of the orbit = 30.1 AU
Since, the orbit is circular in shape, then the distance traveled by Neptune is given by:-

Hence, the distance traveled by Neptune in a single orbit around the Sun = 189.028 AU.
I wrote answers in picture and I use Desmos app to solve this equations