Answer: The value of x is 45
Step-by-step explanation:
The equation x/3-6=9 is a linear equation, where x/3 is the same as one-third of x.
Thus it is easily simplified as such:
x/3-6=9
Collect like terms
x/3 = 9 + 6
x/3 = 15
i.e (1/3) of X = 15
To get the value of x, cross multiply
x = 3 x 15
x = 45
Thus, the value of x is 45
Answer:
Correct option: third one -> 12
Step-by-step explanation:
In a polygon with 'n' vertex, we can trace diagonals from one vertex to all vertices, except to the vertex chosen and the two adjacent vertices (because we would have sides and not diagonals), so we would have 'n - 3' diagonals.
If we have a polygon with 15 vertex, the number of diagonals from one vertex is 15 - 3 = 12.
Correct option: third one
Answer:
Step-by-step explanation:
Use proportions to solve.
Corresponding sides have same ratio.
<u>Question 1</u>
- (6x + 3)/17 = (8x - 1)/21
- 21(6x + 3) = 17(8x - 1)
- 126x + 63 = 136x - 17
- 10x = 80
- x = 8
<u>Question 2</u>
- (x + 8)/21 = 32/28
- x + 8 = 21*8/7
- x + 8 = 24
- x = 24 - 8
- x = 16
We can plug in the values of this point to find b
-4 = 17 (3) +b
We will multiply 17 times 3
-4 = 51 + b
We then subtract by 51 on both sides
-55 = b
So the full equation will be
y = 17x - 55
Figure D could be formed from the net.
(bottom right)
-Because-
The net says that the middle shape (the bottom face) is 14 long, and it is 8 tall. So the only option that makes sense is the bottom right!
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