If you can help me out on this it would be a major help!

A local improvement store sells different sized of storage sheds. The most expensive shed has a footprint that is 15 feet wide b

Mekhanik [1.2K]

Answer:

Question 1: Are the footprints of the two sheds similar?

Yes, the two sheds are similar.

Question 2: Tell whether the footprint of the least expensive shed is an enlargement or a reduction,

It is a reduction

Question 3: Find the scale factor from the most expensive shed to the least expensive shed

The scale factor is 3/2

Explanation:

Question 1: Are the footprints of the two sheds similar?

The footprints of the two sheds will be similar if their measures are proportional.

The ratio of the measures of the footprint of the most expensive shed is:

width/length = 15 feet / 21 feet = 5 / 7

The ratio of the measures of the footprint of the least expensive shed is:

width/length = 10 feet / 14 feet = 5 / 7

Since, the two ratios are equal, you conclude that the corresponding dimensions are proportional and the two sheds are similar.

Question 2: Tell whether the footprint of the least expensive shed is an enlargement or a reduction.

A reduction is a similar transformation (the image and the preimage are similar) that maps the original figure into a smaller one.

Since the dimensions of the foot print of the least expensive shed, 10 feet wide by 14 feet long, are smaller than the dimensions of the most expensive shed, 15 feet wide by 21 feet long the you conclude that the former is a reduction of the latter.

Question 3: Find the scale factor from the most expensive shed to the least expensive shed.

To find the scale factor from the most expensive shed to the least expensive shed, you divide the measures of the corresponding dimensions. You can do it either with the widths or with the lengths.

Using the widths, you get:

width of the foot print of the most expensive shed / width of the foot print of the least expensive transformation

15 feet / 10 feet = 3/2.

That means that the scale factor from the most expensive shed to the least expensive shed is 3/2.

Using the lenghts, you should obtain the same scale factor:

length of the foot print of the most expensive shed / length of the foot print of the least expensive transformation

21 feet / 14 feet = 3/2. Such as expected.

6 0

3 years ago

Based on the given information and figure, what can you conclude, and why?*

julsineya [31]

Answer:

Triangle PQR congruent to Triangle TSR by SAS

Step-by-step explanation:

Hope this helps

7 0

3 years ago

Please help me with this question.

Vesna [10]

Answer:

C

Step-by-step explanation:

C, because the second line keeps adding 6 to it and, the third line keeps adding 7.

5 0

2 years ago

In triangle ABC m A.47 B.109 C.114 D.71

sashaice [31]

Answer:

71

Step-by-step explanation:

in a triangle all the angles together equal 180°. So all you have to do is add 43 + 66=109 and then subtract that from 180

4 0

3 years ago

Construct a specific 2x2 matrix a with no zero entries at all such that aat = i

trasher [3.6K]

A 2 x 2 matrix has 2 rows and 2 columns

A specific 2 x 2 matrix a with no zero entries at all is $\left[\begin{array}{cc}1&-2\\-3&6&\end{array}\right]$

<h3>How to construct the matrix?</h3>

From the question, we understand that the matrix is a 2 x 2 matrix.

A 2 x 2 matrix is represented as:

$\left[\begin{array}{cc}a&b\\c&d&\end{array}\right]$

Also from the question we understand that the elements of the matrix are non-zero.

This means that:

$a \ne 0\ , b \ne 0, \ c \ne 0, \ d \ne 0$

An example of such matrix is:

$\left[\begin{array}{cc}1&-2\\-3&6&\end{array}\right]$

Note that there are several matrices that fit the given construction requirement