A runner is running a 10 km race. It takes her 17.5 minutes to reach the 2.5 km mark. At that rate, how long will it take her to
2 answers:
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Answer:
Equation:
Solve for n: n = 112
Step-by-step explanation:
To first set up the equation, you need to look at the verbal description and translate into numbers and operations:
'three fourths a number' =
'plus 8' = + 8
'is' =
'20 less' = - 20
'the number' = n
Put the expressions together:
'three fourths a number plus 8':
'20 less than the number': n - 20
Set them equal to each other and solve:
Add 20 to both sides:
Subtract from both sides:
Multiply both sides by :
Solve for n: n = 112
Answer:
<em>x=3</em>
Step-by-step explanation:
<u>Angles and Lines</u>
We must recall:
- The sum of the internal angles of a triangle is 180°
- Two linear angles add up to 180°
The image shows a triangle and the extension of its base to form two linear angles.
Note from the triangle, angle R is what it takes to get to 180°:
From the line SQ, angle R what it takes to get to 180°. Thus:
Equating:
Subtracting 180 and simplifying:
Dividing by 19:
x=3