suppelementary angles are angles that add to 180
remember that a straight line is 180 degrees so some angles that are supplementary are 1 and 2, 5 and 6, 1 and 5, 6 and 2, 3 and 7, 4 and 8, 7 and 8, 3 and 4
vertical angles are across from each other when 2 lines cross, they are like 5 and 2, 6 and 1, 7 and 4, 8 and 3
The lengths of the diagonals are 16 and 48 feet.
To find the area of a kite, you multiply the lengths of the diagonals by each other and divide by 2. All we need to do is fill in the information in the formula and solve for the missing side.
A = pq/2
384 = (x(3x))/2
768 = 3x^2
256 = x^2
16 = x
Now, just multiply this diagonal of 16 by 3 to find the other diagonal of 48.
Answer:
y=50
Step-by-step explanation:
25(0)+15y=750
0+15y=750
15y=750
y=50
Answer:
in 2 years the savings account will show: $324.48
in 3 years the savings account will show: $337.46
so the interest earned in these three years would be $337.46 - $300 = $37.46
Step-by-step explanation:
The equation for interest rate compounded annually is what describes this investment, since: where A is the accrued value (total value of principal plus accumulated interest) in the account after the first year ($312), P the principal ($300 in our case), and r the interest rate in decimal form (0.04), and t is the time in years (one for the fist year). They perfectly satisfy the equation:
Then, we can apply this equation for years 2 and 3, just changing the value of t to 2 and 3, as shown below:
We can round the last value to two decimals (cents) obtaining: $337.46
The pure interest after the three years is therefore the total at that time minus the principal the account was started with ($300): $337.46 - $300 = $37.46
Step-by-step explanation:
Parallel lines have the same slope, so we know that our line will have a slope of 3 because y = 3x + 9 has a slope of 3. Now, we can use the point-slope formula of the line to find the equation.
We have y - y₁ = m (x - x₁) (m = 3, x₁ = 2, y₁ = -2)
y- (-2) = 3 (x - 2)
y + 2 = 3x - 6
y = 3x - 8
Hope this helps!