# The rectangular prism shown is formed by six intersecting planes.Where do the planes ABFE and EFGH intersect

The planes ABFE and EFGH intersected by line EF.

### What is Prism?

A prism is a polyhedron in geometry made up of an n-sidedpolygon basis, a second base that is a rigidly translated copy of the first base, and n additional faces that must all be parallelograms and connect the corresponding sides of the two bases.

We have cuboidal prism which have faces ABFE and EFGH.

To find the point for intersecting we have to find a point or line which is common in both planes.

Here the point E and F are common.

But the plane EF is also common

Thus, the intersecting line is line EF.

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Line EF

Step-by-step explanation:

Planes intersect at lines

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You can use this formula:

area = 1/2ab * sinC

Substitute the values in:

area = 1/2(17)(15) * sin(35)

Solve:

area = 73.13099

This can be rounded to give the answer of:

73.1 m^2

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3. Draw a regular polygon with 8 vertices.

A Regular Polygon with 8 vertices is Octogon

Step-by-step explanation:

If you count the sides of an octagon, It will be 8 sides

If you count the vertices of an octagon, it will be 8 vertices.

John ordered five large size pizzas for a party. Five kids each ate 1/10 slice, and twelve adults each at 3/10 slices.a) Find the total number of slices consumed.
41/10
b) Find the leftover pizza if any.

a) 4 1/10 slices eaten

b) cannot be solved because we don't know how many slices in each pizza

Step-by-step explanation:

5*1/10=5/10

12*3/10=36/10

36/10+5/10=41/10

41/10=4 1/10 slices

CE is an angle bisector of angle ACB.If m angle ACE = 2x - 15 and m angle ECB = x +5,
determine the value of x.

The value of x from the angle bisector is: x = 20

### How to find the value of the angle bisector?

Angle bisector theorem is a theorem in geometry that states that an angle bisector of a triangle divides the opposite side into two segments that are proportional to the other two sides of the triangle. An angle bisector is a ray that divides a given angle into two angles of equal measures.

Thus, we can say that:

∠ECB = ∠ACE

Thus:

x + 5 = 2x - 15

2x - x = 15 + 5

x = 20

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x = 20

Step-by-step explanation:

is an angle bisector of

If I have 5 plates and give 2 how many do I have

3

Step-by-step explanation:

if you have 5 plates and you subtract 2 then you have 3 plates left

5-2=3

3

Step-by-step explanation:

3

Which table represents a function?