Tim bought a washing machine for a total of $651 with tax included. What was the price of the washing machine before tax if Tim lives in an area with an 8.5% sales tax rate?

The washing machine cost $600 before tax

Step-by-step explanation:

Percentages

The washing machine cost $651 including a tax of 8.5%.

If x was the cost of the washing machine before tax, then the tax was:

x*8.5/100 = 0.085x

It was added to the original price:

x + 0.085x = 1.085x

That is the final price, thus

1.085x=$651

Solving:

x = $651/1.085

x = $600

The washing machine cost $600 before tax

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°

2/3x + 7 = 29

step-by-step explanation:

two thirds = 2/3

plus a number = x

at least 29 = 29

there for you should get 2/3x + 7 = 29