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Tanzania [10]
3 years ago
13

Given rectangles LMNO and PQRS, which statement explains a way to determine if the two figures are similar?

Mathematics
2 answers:
andrezito [222]3 years ago
8 0

Answer:

B. Verify corresponding pairs of sides are proportional by dilation.

allochka39001 [22]3 years ago
3 0

Answer:

B

Step-by-step explanation:

<u>Definition:</u> Two rectangles are similar when they have corresponding sides proportional are proportional by dilation.

For example, rectangles with sides 3 cm, 4cm and 6 cm, 8 cm are similar, but rectangles with sides 3 cm, 4 cm and 6 cm, 10 cm are nor similar.

Since all angles in rectangle are always right angles, then options A and C are false (in terms of your question).

Option D is false too, because translation doesn't change the length, and in this case two rectangles are congruent.

Option B is true according to definition.

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I need help please!!
Sergio039 [100]

Answer:

16 cm2

Step-by-step explanation:

By equa tion of area of triangle: S = 1/2 * height * base

Triangle B: 32  = 1/2 * 8 * x --> x = 8 (cm)

The base of triangle A is half of the base of triangle B so it is 4 cm.

The area of triangle A = 1/2 * 8 * 4 = 16 (cm2)

5 0
3 years ago
Write 54 + 63 as the product of the GCF of 54 and 63 and another sum
levacccp [35]

Answer:

9*(6+7)

Step-by-step explanation:

First, we have to find the Greatest Common Factor (GCF), to do this we have to see all the factors of 54 and 63 and find the greatest factor that they have in common.

Factors of 54

1,2,3,6,9,18,27,54

Factors of 63

1,3,7,9,21,63

The GCF is 9 because is the greatest factor that is common to both numbers.

Now we have to divide 54/9 and 63/9

54/9 = 6

63/9 = 7

So now we can write the product of the GCF and another sum:

9*(6+7)

<em>We can prove this by solving both expressions:</em>

<em>54+63 = 9*(6+7)</em>

<em>117 = 9*13</em>

<em>117 = 117 </em>

<em>The results are equal so we prove it is right.</em>

8 0
3 years ago
Read 2 more answers
On a boat, a cabin's window is in the shape of an isosceles trapezoid, as shown below. What is the area of the window?
Dafna11 [192]

Answer:

196 in ^2

Step-by-step explanation:

Formula for area of trapezium is h ( a + b )/ 2 so.....

14(10 + 18)/2=196

3 0
3 years ago
Simplify the sum. d^2-9d+20/d^2-3d-10 plus d^2-2d-8/d^2+4d-32
dimaraw [331]
For this case what you should do is follow the following steps:
 1) factorize numerator and denominator of both expressions.
 2) cancel similar terms
 3) add both fractions by cross product
 4) Rewrite the numerator and denominator.
 Answer:
 
See attached image.

3 0
3 years ago
Read 2 more answers
Sum of × +1 and × + 2 ​
ikadub [295]

Step-by-step explanation:

X +1 + X + 2

X + X + 1 + 2

2x + 3

Therefore it's 2x + 3

3 0
2 years ago
Read 2 more answers
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