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RSB [31]
2 years ago
6

Match each equation on the left to the mathematical property it uses on the right.

Mathematics
1 answer:
otez555 [7]2 years ago
3 0

Answer:

a) (1 + 5) + 2 = 2 + (1 + 5)

Associative property of addition

b) 5(2x + 3) = 10x + 15

distributive property

c) (2.x). 7 = 2. (x · 7)

associative property of multiplication

d) (3 . x . 4) = (4.x .3)

commutative property of multiplication

e) (4 + 2) + 6 = 4+ (2 + 6)

associative property of addition

Step-by-step explanation:

We have to give properties for each equation.

a) (1 + 5) + 2 = 2 + (1 + 5)

Associative property of addition as (a+b)+c= a+(b+c)

b) 5(2x + 3) = 10x + 15

distributive property as a(b+c)=ab+ac

c) (2.x). 7 = 2. (x · 7)

associative property of multiplication as (a.b).c = a.(b.c)

d) (3 . x . 4) = (4.x .3)  (Assuming typing mistake in question)

commutative property of multiplication = a x b = b x a

e) (4 + 2) + 6 = 4+ (2 + 6)

associative property of addition as (a+b)+c= a+(b+c)

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place value is the answer

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Un terreno de 4200 metros cuadrados de superficie se quiere dividir en dos lotes de manera que el lote menor sea tres cuartas pa
lions [1.4K]

Answer:

El lote menor tendrá 1800 m^2

El lote mayor tendrá 2400 m^2

Step-by-step explanation:

Definamos las variables:

M = superficie del lote mayor

m = superficie del lote menor.

Sabemos que el terreno tiene en total 4200 m^2

Entonces:

M + m = 4200 m^2.

Y queremos que el lote menor sea 3/4 del lote mayor, entonces:

m = (3/4)*M

Podemos reemplazar esto en la ecuación de arriba para obtener:

M + ( (3/4)*M) = 4200 m^2.

Y ahora podemos resolver esto para M

M + (3/4)*M = 4200m^2

M*(1 + 3/4) = 4200m^2

M*(4/4 + 3/4) = 4200 m^2

M*(7/4) = 4200m^2

M = (4/7)*(4200m^2) = 2400m^2

Esto significa que la superficie del mayor lote es 2400 m^2

Y la superficie del menor se puede obtener con la ecuación:

m = (3/4)*M

m = (3/4)*2400m^2 = 1800m^2

La superficie del lote menor es 1800m^2

4 0
2 years ago
Find the measure of each acute angle in the figure.
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Answer:

Angle 1 = 46°

Angle 2 = 44°

Step-by-step explanation:

Given:

Angle 1 = (4x - 2)°

Angle 2 = (3x + 8)°

Angle 3 = 90°

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All acute angle

Computation:

Using angle sum property

Angle 1 + Angle 1 + Angle 1 = 180°

(4x - 2)° + (3x + 8)° + 90° = 180°

7x + 6 = 90

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x = 12°

So,

Angle 1 = (4x - 2)° = 4(12) - 2 = 46°

Angle 2 = (3x + 8)° = 3(12) + 8 = 44°

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Answer:

Below.

Step-by-step explanation:

19.3 + n  = 30.4

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