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3 years ago

X – 6 = 14 – 8 12 0 20 –12

Mathematics

1 answer:

sineoko [7]3 years ago

7 0

Hi there!

Answer:

A. 12. x=12 and 12=x

Step-by-step explanation:

addition property of equality is adding the same number both sides of an equation does not change the equation.

subtraction property of equality is subtraction the same number from both sides of an equation does not change the equation.

multiplication property of equality is multiplying both sides of an equation by the same number does not change the equation.

division property of equality is dividing both sides of an equation by the same number non-zero number does not change the equation.

x-6=14-8

subtract by 6 both sides of an equation.

x-6=6

add by 6 both sides of an equation.

x-6+6=6+6

simplify.

6+6=12

x=12

12-6=6

Hope this helps!

-Charlie

Have a great day!

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2. Match the shapes given to their correct areas.

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Applying the formula for each identified shape that are given, the correct areas to each shape are:

a. Square = 134.6 sq. yd

b. Circle = 452.2 sq. cm

c. Parallelogram = 40.6 sq. cm

d. Rectangle = 43.2 sq. ft

e. Trapezium = 25.7 sq. m

f. Triangle = 21.6 sq. ft

a. The shape given is a square.

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Plug in the value of s

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b. The shape given is a circle.

Area of the circle = $\pi r^2$

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Plug in the value of r

Area of the square = $\pi \times 12^2 = 452.2 $ cm^2$

c. The shape given is a parallelogram.

Area of the parallelogram = $bh$

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Plug in the value of b and h

Area of the parallelogram = $7 \times 5.8 = 40.6 $ cm^2$

d. The shape given is a rectangle.

Area of the rectangle = $l \times w$

Where,

l = 8.3 ft

w = 5.2 ft

Plug in the value of l and w

Area of the rectangle = $8.3 \times 5.2 = 43.2 $ ft^2$

e. The shape given is a trapezium.

Area of the trapezium = $\frac{1}{2} (a + b) \times h$

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a = 2.8 m

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h = 3.9 m

Plug in the value of a, b, and h

Area of the trapezium = $\frac{1}{2}(2.8 + 10.4) \times 3.9 = 25.7 $ m^2$

f. The shape given is a triangle. (See attachment for the shape).

Area of the triangle = $\frac{1}{2} \times b \times h$

Where,

b = 9 ft

h = 4.8 ft

Plug in the value of b, and h

Area of the triangle = $\frac{1}{2} \times 9 \times 4.8 = 21.6 $ ft^2$

Therefore, applying the formula for each identified shape that are given, the correct areas to each shape are:

a. Square = 134.6 sq. yd

b. Circle = 452.2 sq. cm

c. Parallelogram = 40.6 sq. cm

d. Rectangle = 43.2 sq. ft

e. Trapezium = 25.7 sq. m

f. Triangle = 21.6 sq. ft

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