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lesantik [10]
1 year ago
12

A square has a perimeter of 12x 52 units. which expression represents the side length of the square in units? x 4 x 40 3x 13 3x

43
Mathematics
1 answer:
d1i1m1o1n [39]1 year ago
7 0

The expression which represents the side length of the square which has perimeter of 12x 52 units is 3x+12 units.

<h3>What is the perimeter of a square?</h3>

The measure of the boundary of the sides of a square is called its perimeter. The perimeter of a square is 4 times the side of the square.

P=4a

Here, (<em>a</em>) is the side of the square.

A square has a perimeter of 12x +52 units. The perimeter of a square is 4 times the side of the square. Thus, the side of this square is,

P=4a\\12x +52=4a\\a=\dfrac{12x +52}{4}\\a=\dfrac{4(3x +12)}{4}\\a=3x+12

Thus, the expression which represents the side length of the square which has perimeter of 12x 52 units is 3x+12 units.

Learn more about the perimeter of the square here;

brainly.com/question/25092270

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2 years ago
In circle A, ∠BAE ≅ ∠DAE. What is the length of BE? 14 units 17 units 27 units 34 units
zhannawk [14.2K]

Answer:

The length of BE is 27 units ⇒ 3rd answer

Step-by-step explanation:

In circle A:

∠BAE ≅ ∠DAE

Line segments A B, A E, and A D are radii

Lines are drawn from point B to point E and from point E to point D to form secants B E and E D

The length of B E is 3 x minus 24 and the length of E D is x + 10

We need to find the length of BE

∵ AB and AD are radii in circle A

∴ AB ≅ AD

In Δs EAB and EAD

∵ ∠BAE ≅ ∠DAE ⇒ given

∵ AB = AD ⇒ proved

∵ EA = EA ⇒ common side in the two triangles

- Two triangles have two corresponding sides equal and the

  including angles between them are equal, then the two

  triangles are congruent by SAS postulate of congruence

∴ Δ EAB ≅ Δ EAD ⇒ SAS postulate of congruence

By using the result of congruence

∴ EB ≅ ED

∵ EB = 3 x - 24

∵ ED = x + 10

- Equate the two expressions to find x

∴ 3 x - 24 = x + 10

- Add 24 to both sides

∴ 3 x = x + 34

- Subtract x from both sides

∴ 2 x = 34

- Divide both sides by 2

∴ x = 17

Substitute the value of x in the expression of the length of BE to find its length

∵ BE = 3 x - 24

∵ x = 17

∴ BE = 3(17) - 24

∴ BE = 51 - 24

∴ BE = 27

The length of BE is 27 units

3 0
3 years ago
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