We are given:
- Parallelogram CDEF
- ∠C = 13x - 10
- ∠D = 5x + 10
To Find: ∠E
Concept Used:
- Adjacent angles of a Parallelogram are Supplementary
Finding the value of 'x':
Since adjacent angles of a parallelogram are Supplementary:
∠D + ∠C = 180
5x + 10 + 13x - 10 = 180 [replacing the values of angle C and D]
18x = 180
x = 10 [dividing both sides by 18]
__________________________________________________________
Finding Measure of Angle D:
We are given that:
∠D = 5x + 10
∠D = 5(10) + 10 [since x = 10]
∠D = 60°
__________________________________________________________
Finding the measure of ∠E:
∠D and ∠E are Adjacent angles
Since Adjacent angles are Supplementary:
∠D + ∠E = 180
60 + ∠E = 180
∠E = 120° [subtracting 60 from both sides]
Hence, the measure of ∠E = 120°
Answers:
Price Tax Rate Tax
$299 4% $11.96
$6,750 7% $472.5
$76.50 5.2% $3.98
$18.32 3.9% $0.71
$5.95 6.2% $0.37
$13.89 4.3% $0.60
$768.43 3.7% $28.43
$6.49 5.8% $0.38
$23.86 7.1% $1.69
$12.98 3.9% $0.51
Explanation;
Sales tax is computed as the product of the price times the tax rate in % divided by 100:
- Sales tax = price × tax rate / 100
Here is each compute:
- $299 × 4% = $299 × 4/100 = $11.96
- $6,750 × 7% = $6,750 × 7/100 = $ 472.50
- $76.50 × 5.2% = $76.50 × 5.2/100 = $3.98
- $18.32 × 3.9% = $18.32 × 3.9/100 = $0.71
- $5.95 × 6.2% = $5.95 × 6.2/100 = $0.37
- $13.89 × 4.3% = $13.89 × 4.3/100 = $0.60
- $768.43 × 3.7% = $768.43 × 3.7/100 = $28.43
- $6.49 × 5.8% = $6.49 × 5.8/100 = $0.38
- $23.86 × 7.1% = $23.86 × 7.1/100 = $1.69
Answer:
2x
Step-by-step explanation:
we can use the Pythagorean Theorem to find the missing side (a):
a² + (2x)² = (8x)²
a² + 4x² = 64x²
a² = 60x²
a = √60x²
a = 
· · 
This can be simplified to be 2x
N would equal = 20,000,000,000,000,000 or 2.0×10^16
