Answer:

Step-by-step explanation:
Distributive property: a(b+c)=ab+ac
First you had to expanded form.


Finally, simplify.

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Answer:
Step-by-step explanation:
Y=3x+2
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Answer:
x = 58
Step-by-step explanation:
The secant- tangent angle 51° is calculated as half the difference of the intercepted arcs, that is
(160 - x) = 51 ← multiply both sides by 2 to clear the fraction
160 - x = 102 ( subtract 160 from both sides )
- x = - 58 ( multiply both sides by - 1 )
x = 58
Answer: Because of gaps between the vertex of Pentagons and hexagon.
Step-by-step explanation:
The Pentagon has 5 sides and 5 vertex angles. While hexagon has 6 sides and six vertex angles
The sum of the angle of polygon is equal to ( n - 2 )180
Sum of the angle of a Pentagon will be: (5 - 2)×180 = 540
Each vertex angle of a Pentagon = 540/5 = 108
Sum of the angle of hexagon will be: (6 - 2)×180 = 720
Each vertex angle of a hexagon =
720/6 = 120
To interlock Pentagon and hexagon, the sum of the combination of vertex angles of both must be equal to 360 ( sum of the angles at a point = 360)
Since there is no number of combinations that can be equal to 360, there will surely be a gap.