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Anna71 [15]
3 years ago
6

True or false..? In a parallelogram, consecutive angles are supplementary.

Mathematics
1 answer:
Ierofanga [76]3 years ago
7 0

Answer:

True

Step-by-step explanation:

Both pairs of opposite angles are congruent. parallelogram, rectangle, rhombus, square. Both pairs of opposite sides are congruent. parallelogram, rectangle, rhombus, square. All consecutive angles are supplementary. parallelogram, rectangle, rhombus, square. diagonals bisect each other. parallelogram, rectangle, rhombus, square.

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Find the area of the figure with Heron’s formula
Anna11 [10]

Answer:

735 cm²

Step-by-step explanation:

The figure is a trapezium .The area of the triangle section can be calculated using the Heron's formula.

The other part of the figure will be a square of sides 21 cm by 21 cm

<u>Area of the square section</u>

Area = l²

Area = 21* 21 = 441 cm²

<u>Area of the triangle using Heron's formula</u>

Sides of the triangle are ;

a= 28 cm

c= 35 cm

b = 21 cm -----height of the trapezium

The Heron's formula is given as;

A=\sqrt{s( s-a)(s-b )(s-c )}

where s is half the perimeter of the triangle

Perimeter of the triangle is given as ;

P= 35 + 28 + 21 =84 cm

s= 84/2 = 42 cm

A=\sqrt{42*(42-21 )*(42-35 )*(42-28 )} \\\\A=\sqrt{42*(21 )*(7 )*( 14)} \\\\A=\sqrt{86436} \\\\A=294\\\\

Total area = 294 + 441 = 735 cm²

7 0
3 years ago
Question 2 of 25
notsponge [240]

The inverse function of f(x) = 6x + 4 is f^-1(x) = (x - 4)/6

<h3>How to determine the inverse function?</h3>

The function is given as:

f(x) = 6x + 4

Rewrite as:

y = 6x + 4

Swap x and y

x = 6y + 4

Subtract 4 from both sides

6y = x - 4

Divide through by 6

y = (x - 4)/6

Rewrite as:

f^-1(x) = (x - 4)/6

Hence, the inverse function of f(x) = 6x + 4 is f^-1(x) = (x - 4)/6

Read more about inverse functions at:

brainly.com/question/2541698

#SPJ1

6 0
2 years ago
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