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Fudgin [204]
3 years ago
7

Question:

Mathematics
1 answer:
aivan3 [116]3 years ago
4 0

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

so

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

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Type the correct answer in the box use numerals instead of words
-Dominant- [34]

Answer:

Subtracting 3x^2+4x-5 from 7x^2+x+9 results in a polynomial. After subtracting 4x^2-3x from this polynomial the difference is 14

Step-by-step explanation:

The question given is:

Subtracting 3x^2+4x-5 from 7x^2+x+9 results in a polynomial. After subtracting 4x^2-3x from this polynomial the difference is?

First we will Subtracting 3x^2+4x-5 from 7x^2+x+9

7x^2+x+9-(3x^2+4x-5)\\=7x^2+x+9-3x^2-4x+5\\Combining\:like\:terms\\=7x^2-3x^2+x-4x+9+5\\=4x^2-3x+14

So, the polynomial we get is: 4x^2-3x+14

Now, subtracting 4x^2-3x\: from\: 4x^2-3x+14

4x^2-3x+14-(4x^2-3x) \\=4x^2-3x+14-4x^2+3x\\Combining\:like\:terms\\=4x^2-4x^2-3x+3x+14\\=14

The difference is 14

So, Subtracting 3x^2+4x-5 from 7x^2+x+9 results in a polynomial. After subtracting 4x^2-3x from this polynomial the difference is 14

4 0
3 years ago
Which method can't you use to solve this problem? x2 – 47 = 0
Ne4ueva [31]
What are the options
7 0
3 years ago
If it takes Katie 4 hours to make 20 cupcakes that at that rate how many cupcakes could made in 12 hours answer
slamgirl [31]

Answer:

The answer is 60 cupcakes

5 0
3 years ago
Read 2 more answers
How do you translate the equation 4x-5=3(x+2) into a verbal sentence
elena55 [62]
Four times the quantity of x minus five is equal to three times the quantity of x plus two
3 0
3 years ago
780<br> 56°<br> (100°<br> (x + 48)°
Marta_Voda [28]

Answer:

The Question is Incomplete still What i understood I let you Explain.

x = 78°  

Step-by-step explanation:

Let

m∠ A = 78°

m∠ B = 56°

m∠ C = 100°

m∠ D = (x + 48)°

Be angles of Quadrilateral.

To Find:

x = ?

Solution:

Property of a Quadrilateral sum of the measures of the angle is 360°.

∴ m∠ A + m∠ B + m∠ C + m∠ D =  360°

Substituting above given values we get

∴ 78° +56° + 100° + ( x + 48° ) = 360°

∴ x + 282° = 360°

∴ x = 360° - 282°

∴ x = 78°     ........... which the required answer

4 0
3 years ago
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