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3 years ago

Sorry for the blurryness. Please answer correctly and I guarantee I will mark you brainliest :)

Mathematics

1 answer:

Helga [31]3 years ago

6 0

Answer:

Step-by-step explanation:

37-79=42

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Question:

aivan3 [116]

Answer:

part A) The scale factor of the sides (small to large) is 1/2

part B) Te ratio of the areas (small to large) is 1/4

part C) see the explanation

Step-by-step explanation:

Part A) Determine the scale factor of the sides (small to large).

we know that

The dilation is a non rigid transformation that produce similar figures

If two figures are similar, then the ratio of its corresponding sides is proportional

Let

z ----> the scale factor

$\frac{CB}{C'B'}=\frac{CD}{C'D'}=\frac{BD}{B'D'}$

The scale factor is equal to

$z=\frac{CB}{C'B'}$

substitute

$z=\frac{4}{8}$

simplify

$z=\frac{1}{2}$

Part B) What is the ratio of the areas (small to large)?

<em>Area of the small triangle</em>

$A=\frac{1}{2}(2)(4)=4\ units^2$

<em>Area of the large triangle</em>

$A=\frac{1}{2}(4)(8)=16\ units^2$

ratio of the areas (small to large)

$ratio=\frac{4}{16}=\frac{1}{4}$

Part C) Write a generalization about the ratio of the sides and the ratio of the areas of similar figures

In similar figures the ratio of its corresponding sides is proportional and this ratio is called the scale factor

In similar figures the ratio of its areas is equal to the scale factor squared

4 0

4 years ago

What is 2 + 2 = ?..........

hjlf

Answer:

Step-by-step explanation:

i could be wrong

7 0

3 years ago

(1/4)x+1=32 <br><br> -A: -7/2<br> -B: 2<br> -C: -2<br> -D: 3/2

777dan777 [17]

The answer is b due to pemdas

4 0

3 years ago

15. The table below shows the various ways

Kipish [7]

Answer:

45 %

Step-by-step explanation:

$\begin{array}{lc}\textbf{Method} & \textbf{Number}\\\text{Walk} & 36 \\\text{Bus} & 26 \\\text{Car} & 18 \\\text{TOTAL} & \mathbf{80} \\\end{array}\\\text{Percent of walkers} = \dfrac{36}{80} \times 100 \% = \mathbf{45 \, \%}$

7 0

3 years ago

Read 2 more answers

Here are descriptions for how two dot patterns are growing,

Arisa [49]

The steps in the patterns A and B form a sequence

The attached diagram represents dots in patterns A and B

<h3>How to draw the diagrams</h3>

For pattern A, we have:

Step 2 = 10 dots

Increment of 3 dots in each step

This means that:

Step 0 = 4 dots

Step 1 = 7 dots

Step 2 = 10 dots

Step 3 = 13 dots

For pattern A, we have the following rule

$T_n =2n^2 + 1$

When n = 0 to 3, we have:

$T_0 =2(0)^2 + 1 =1$

Step 0 = 1 dot

$T_1 =2(1)^2 + 1 =3$

Step 1 = 3 dots

$T_2 =2(2)^2 + 1 =9$

Step 2 = 9 dots

$T_3 =2(3)^2 + 1 =19$

Step 3 = 19 dots

Next, we draw the diagrams of both patterns (see attachment)