Consider the octagonal prism above. describe how you would make a cut to create a plane section in the following shapes: 1. rectangle 2. octagon 3. triangle 4. trapezoid

From the figure attached with this answer have octagon ABCDEFGH.

We can make a cut to create a plane section in the following shapes:

1. Rectangle

Here  ADEH form a rectangle. To make rectangle we take ADEH

2. Octagon

For getting Octagon just cut ABCDEFGH form octagon

3. Triangle

To get triangle cut opposite diagonals. From the figure we can see AOB,BOC,COD,DOE,EOF,FOG,GOH and HOA are triangles.

4. Trapezoid

To get trapezoid ABCD form trapezoid and EFGH form another trapezoid

let's solve your equation step-by-step.

24−3x=−27

step 1: simplify both sides of the equation.

24−3x=−27

24+−3x=−27

−3x+24=−27

step 2: subtract 24 from both sides.

−3x+24−24=−27−24

−3x=−51

step 3: divide both sides by -3.

−3x

−3

=

−51

−3

x=17

answer:

x=17

step-by-step explanation:

mark brainliest and have a great day!

x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

step-by-step explanation:

last month maria hiked the 5-mile mountain trail a number of times and she hiked the 10-mile canal trail several times. let x represent the number of times she hiked the 5-mile trail, and let y represent the number of times she hiked the 10-mile trail. if she hiked a total of 90 miles, which equation can be used to find the number of times maria hiked each trail? x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x