Simplify 57 - 6 2 ÷ (2 + 1) · 4.

The solution to the equation  57 - 6 2 ÷ (2 + 1) · 4 is -25.7.

An equation is an expression used to show the relationship between two or more numbers and variables.

Given the equation:

57 - 6 2 ÷ (2 + 1) · 4

To solve the equation, use BODMAS, first deal with the bracket"

= 57 - 62 ÷ (3).4

Second, solve the division:

= 57 - 20.7 . 4

Next deal with the multiplication:

= 57 - 82.7

Next deal with the subtraction:

= -25.7

The solution to the equation  57 - 6 2 ÷ (2 + 1) · 4 is -25.7.

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73.0769230769% of the games were won

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°