This is the answer 6x^2+15x+9
<u>We are Given:</u>
∠1 = 65°
<h3><u>
Finding the measure of all other angles with proof:</u></h3>
<u>∠2:</u>
∠1 + ∠2 = 180° <em>(angle 1 and 2 form a Linear Pair)</em>
65 + ∠2 = 180 <em>(Angle 1 = 65°)</em>
∠2 = 180 - 65
∠2 = 115°
<u>∠3:</u>
∠1 = ∠3 <em>(Angle 1 and 3 are vertically opposite)</em>
65 = ∠3 <em>(Angle 1 = 65°)</em>
<em>∠3 = 65°</em>
<em />
<u><em>∠4:</em></u>
∠4 = ∠2 <em>(Vertically opposite angles)</em>
∠4 = 115° <em>(∠2 = 115°)</em>
<u><em /></u>
<u>∠5:</u>
∠5 = ∠1 <em>(Corresponding angles)</em>
∠5 = 65° <em>(∠1 = 65°)</em>
<u><em /></u>
<u>∠6:</u>
∠6 = ∠2 <em>(Corresponding angles)</em>
∠6 = 115° <em>(∠2 = 115°)</em>
<em />
<u>∠7:</u>
∠7 = ∠3 <em>(Corresponding Angles)</em>
∠7 = 65° <em>(∠3 = 65°)</em>
<em />
<u>∠8:</u>
∠8 = ∠4 <em>(Corresponding angles)</em>
∠8 = 115° <em>(∠4 = 115°)</em>
Salary after 12 years = $28,000(1+0.026)^12 =$38100.12
Answer:
The final cost is 1.07($17.15) = $18.35
Step-by-step explanation:
If the discount is 30%, we can find the discounted price by taking 70% of the original price (since 100% - 30% = 70%). Substitute the equivalent 0.70 to calculate the discount price: 0.70($24.50) = $17.15. This is the discounted price.
The final cost is $17.15 times 1.07, which includes the discounted price plus the 7% tax. That final cost is 1.07($17.15) = $18.35.
Answer:
5/6 liters.
Step-by-step explanation:
Given that:
Amount of juice in a punch bowl = 2 * 1/2 liters
= 5/2 liters.
Part of juice drank by Liam from the bowl = 1/3
Amount of juice drank by Liam =
= 5/2 * 1/3 = 5\6 liters.
