Answer:
b = 4
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define equation</u>
8b - 12 = 5b
<u>Step 2: Solve for </u><em><u>b</u></em>
- Subtract 5b on both sides: 3b - 12 = 0
- Add 12 on both sides: 3b = 12
- Divide 3 on both sides: b = 4
<u>Step 3: Check</u>
<em>Plug in b to verify it's a solution.</em>
- Substitute: 8(4) - 12 = 5(4)
- Multiply: 32 - 12 = 20
- Subtract: 20 = 20
And we have our final answer!
Where are the answer choices and the rest of the question?
Answer:
18.3125
18.5635
18 13/16
Step-by-step explanation:
Look at one of the vertices of the heptagon where two squares meet. The angles within the squares are both of measure 90 degrees, so together they make up 180 degrees.
All the angles at one vertex must clearly add up to 360 degrees. If the angles from the squares contribute a total of 180 degrees, then the two remaining angles (the interior angle of the heptagon and the marked angle) must also be supplementary and add to 180 degrees. This means we can treat the marked angles as exterior angles to the corresponding interior angle.
Finally, we know that for any convex polygon, the exterior angles (the angles that supplement the interior angles of the polygon) all add to 360 degrees (recall the exterior angle sum theorem). This means all the marked angles sum to 360 degrees as well, so the answer is B.
Answer:
$15
Step-by-step explanation:
Given that :
Aunt's distance = 120 miles
Miles per gallon of Olivia's car = 24 miles per gallon
Cost of gasoline = 3 per gallon
Cost of gasoline for the trip :
(Aunt's distance / miles per gallon) * cost of gasoline per gallon
(120 miles / 24 miles per gallon) * 3
5 * 3 = $15
Cost of gasoline for the trip = $15
