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anyanavicka [17]
3 years ago
6

Help me please thank you

Mathematics
1 answer:
BabaBlast [244]3 years ago
3 0

Let's use a formula in order to find how much the interior angles are supposed to add up to.

(n-2)×180; n is the number of angles.

(5-2)×180= 3×180=540

We need for the interior angles to add up to 540. Let's make an equation.

100+102+108+121+x=540

431+x=540; let's find x.

540-431= 109

So, X= 109°

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In the figure below, points M, P, H, J, and K lie in plane Z.
marishachu [46]

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  • (a) LN
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===================================================

Explanation:

Part (a)

Lines LN and PN have the point N in common. This is the intersection point.

-----------------

Part (b)

To name a plane, pick any three non-collinear points that are inside it. We cannot pick points H, J, K together because infinitely many planes pass through it. Imagine the piece of flat paper able to rotate around this axis (like a propeller). Having the points not all on the same line guarantees we form exactly one unique plane.

I'll pick the non-collinear points P, H and J to get the name Plane PHJ. Other answers are possible.

------------------

Part (c)

Points H, J and K are collinear as they are on the same line. Pick either H or K to fill out the answer box. I'll go with point K

------------------

Part (d)

Point P and line HK are coplanar. They exist in the same flat plane, or on the same sheet of flat paper together.

We can think of that flat plane as the ground level while something like point N is underground somewhere. So point N and anything on that ground plane wouldn't be coplanar.

Note: there are other possible names for line HK such as line JH or line JK. The order doesn't matter when it comes to naming lines.

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