How many of the 100 bin A items can be recycled at a specialized center?

Mathematics

1 answer:

pentagon [3]3 years ago

3 0

Depending on how big the center is, I would say 15.
I hope this helped!

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Please help, thanks!

Westkost [7]

Answer:

$x=99^{\circ},\\y=81^{\circ}$

Step-by-step explanation:

The sum of the interior angles of a polygon with $n$ sides is $180(n-2)$ . Since the shape in the figure has 5 sides, the sum of its interior angles is $180(5-2)=180\cdot 2=540^{\circ}$ .

Therefore, we can set up the following equation:

$95+125+105+116+x=540,\\441+x=540,\\x=\boxed{99^{\circ}}$

Since $\angle x$ and $\angle y$ make up one side of a line, they are supplementary, as each side of a line is $180^{\circ}$ .

Thus, we have:

$x+y=180,\\99+y=180,\\y=\boxed{81^{\circ}}$

4 0

3 years ago

2 Points

noname [10]

Answer:

Step-by-step explanation:

The symbol between JK and LM mean that they are perpendicular, it is, that at their intersection 90 degrees angles are formed (those are right angles). So, the correct option here is option B. JK and LM meet at a right angle.

Here I attach a dray of how an intersection like this must look like. I hope it is helpful for you. In the draw four right angles are formed, however, this is not necessary, coul be only one or two depending on the length of the lines segments.