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3 years ago

Which of the following figures could represent the cross section of a rectangular pyramid? Select all that apply.

Mathematics

1 answer:

Rama09 [41]3 years ago

4 0

Answer:

Options C and E

Step-by-step explanation:

Option A. Circle

We can't get a cross section in the form of a circle.

Option B. Cube

We can't get a cross section in the form of a cube.

Option C. Rectangle

When we slice a rectangular pyramid parallel to the base but not through the vertex, we get a Rectangle.

Option D. Square

We can not get a square by slicing a rectangular pyramid.

Option E. Triangle

By slicing a rectangular pyramid perpendicular to the base and passing through the vertex we can get the cross section in the form of triangle.

Options C and E will be the answer.

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4 years ago

If PG' equals 0. 5 units, what is PG? 2. 5 units 3 units 4. 5 units 6 units.

Dmitrij [34]

The correct option is B which is the value of PG is 3 units.

Given

The scale factor of the dilation of segment HG is 1/6.

If PG' equals 0.5 units,

<h3>What is the scale factor?</h3>

The scale factor is a measure for the identical shapes, which look identical but have various scales or measures.

The scale factor of the dilation of segment HG is 1/6.

By the rule of scale factor;

$\rm \dfrac{PG'}{PG}= SF = \dfrac{1}{6}$

Where SF represents the scale factor.

Solving for PG, we get:

$\rm \dfrac{PG'}{PG}=\dfrac{1}{6} \\\\ \dfrac{0.5}{PG} = \dfrac{1}{6}\\\\ 0.5 \times 6= 1\times PG\\\\ PG = 3$

Hence, the value of PG is 3 units.

To know more about the Scale factor click the link given below.

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3 years ago

Which set of side lengths is from a right triangle? A- 10,18,24 B- 9,12,15 C- 6,9,14 D- 4,8,10

dangina [55]

<span>the sum of squares of two smaller sides equals the square of the largest side, it's right triangle
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9^2 + 12^2 = 25^2
81 + 144 = 225
225 = 225

answer is <span>B- 9,12,15</span>

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3 years ago