Answer:
6x = 120
Step-by-step explanation:
Let the number be " x ".
The product of 6 and a number,
6 * x = 6x
The product of 6 and a number is 120,
6x = 120
Therefore,
the algebraic form is 6x = 120.
Answer:
The annual profit is $6384, if the baker sells 240cupcakes
Step-by-step explanation:
Annual profit in dollars from selling cupcakes = 
where n is the number of cupcakes sold .
We need to find the annual profit if the baker sells 240cupcakes.
If baker sells 240 cupcakes, so we have n = 240
Putting value of n in the given equation and finding profit
So, The annual profit is $6384, if the baker sells 240cupcakes
Answer:
Don't quit! You can work your way back up again! You should challenge yourself to make it back up!
Step-by-step explanation:
But I hope you're having a okay day/night and know you're worth it no matter what!
Step-by-step explanation:
- Since m∠ACM = 90°, then by angle addition, m∠ACP + m∠PCM = 90°.
- Since CP⊥ AM, then by definition of perpendicular, m∠APC = 90°. Since angles of a triangle add up to 180°, that means m∠PAC + m∠ACP = 90°.
- By substitution, m∠PCM = m∠PAC.
- Since m∠PCM + m∠CMP = 90°, then by substitution, m∠CMP = m∠PAC.
- Therefore, by AAA, △ACP and △CMP are similar.
Having proven that the triangles are similar, we can write the proportion:
AP / CP = CP / MP
9 / CP = CP / 16
CP² = 144
CP = 12
Now, we can simply use Pythagorean theorem to find the other sides.
AC² = AP² + CP²
AC² = 9² + 12²
AC = 15
CM² = CP² + PM²
CM² = 12² + 16²
CM = 20
Answer:
Total distance = 5.754 km
Step-by-step explanation:
Red lines of the right triangle show the layout of the race course.
Total length of the race course = Perimeter of the triangle
Perimeter of the triangle = Sum of the measures of all three sides
= 1.83 + 1.524 + 2.4
= 5.754 km
Therefore, total distance of the race course is 5.754 km.
