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Yuliya22 [10]
3 years ago
14

Describe how to determine if two polygons have the same size and shape

Mathematics
1 answer:
Gnesinka [82]3 years ago
6 0
Polygons that have the same size and shape are called congruent polygons.  Congruent polygons can be obtained with either rotation (one polygon is rotated and the second is obtained) or one polygon is the mirror image of the other.
Congruent polygons are also similar, because they have same shape and size, only different position or orientation.
If you proof that the one polygon is rotation of the other or a mirror, than you will proof that those two polygons have the same size and shape.

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If 3^2x+1 = 3^x+5, what is the value of x?
shtirl [24]

Answer:

4

Step-by-step explanation:

Since the bases are equal the powers also are equal

so

2x + 1 = x + 5

2x - x = 5 - 1

x = 4

6 0
3 years ago
1. Solve 3x + 3 =21
sveta [45]
1.

3x + 3 = 21

3x = 21-3

3x = 18

x = 18/3

Therefore,
x = 6


So option ( B) is the correct one.


2.

\frac{3x}{2}  - 4 = 16 \\  \frac{3x}{2}  = 16 + 4 \\  \\  \frac{3x}{2}  = 20  \\ 3x = 20 \times 2 \\ 3x = 40 \\ x =  \frac{40}{3}  = 13 \frac{1}{3}


Therefore option (B) is the correct one here too.
7 0
3 years ago
Read 2 more answers
I WILL MARK BRAINLIEST PLS HELP ASAP
Inga [223]

Answer:

B

Step-by-step explanation:

m =  \frac{0 - ( - 2)}{ - 2 - 0}  =  - 1

use the point (-5,3)

y-3=-(x-(-5)) = y-3= -(x+5)

4 0
3 years ago
Read 2 more answers
In how many ways can 5 different novels, 4 different mathematics books, and 1 biology book be arranged on a bookshelf if
zalisa [80]

Question Continuation:

if   (a) the books can be arranged in any order?  

(b) the mathematics books must be together and the novels must be together?

Answer:

(a) 3628800  ways

(b) 17280 ways

Step-by-step explanation:

Given

Novels = 5

Mathematics = 4

Biology = 1

Solving (a): In any order

This implies that there is no restriction and the novels, mathematics and biology book are just seen as books.

Total number of books is:

N = Mathematics + Novel + Biology

N = 4+5+1

N = 10

The number of arrangement is:

10! = 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1

10! = 3628800\ ways

(b):

If the mathematics books are together, there are 4! different  arrangements

If the novels are together, there are 5! different arrangements

Now, there are 3 bundles.

  • The mathematics books as 1
  • The novels as 1
  • The biology book

This can be arranged in 3! ways.

Total number of arrangement is:

Total = 4! * 5! * 3!

Total = 4*3*2*1 * 5*4*3*2*1 * 3*2*1

Total = 17280\ ways

6 0
3 years ago
Solve for d. Show each step: d(e-f)=g
Fofino [41]

Hey there!!

Given equation :

d(e-f) = g

Solve for d :

Dividing by ( e - f ) on both sides :

d = g / e - f which is d=\frac{g}{e-f}

Hope my answer helps!

3 0
4 years ago
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