Emily wants to buy a car. She pays a deposit equal to 20% of the cost of the car. She will pay the balance in 8 equal payments of $5460 each month. How much does the car cost

the cost of the car is $54600

Step-by-step explanation:

Let x represent the cost of the car.

She pays a deposit equal to 20% of the cost of the car. This means that the amount of money that she paid as deposit would be

20/100 × x = 0.2 × x = 0.2x

The remaining balance would be

x - 0.2x = 0.8x

She will pay the balance in 8 equal payments of $5460 each month. This means that

0.8x/8 = 5460

0.1x = 5460

Dividing the left hand side and the right hand side of the equation by 0.1, it becomes

0.1x/0.1 = 5460/0.1

x = 54600

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°

2/3

step-by-step explanation:

the slope of a line is equal to the rise/run. in this case the line rises 2 units for every +3 units it moves