Answer:
I think 5 and 5 are equal so the angles are equal which are 70,70
Step-by-step explanation:
70+70+x=180
140+x=180
x=40
Answer:
it takes the bears 12 days to eat honey together.
Step-by-step explanation:
1/x+9+1/x+16=1/x
(solve this using cross multiplication)
= x^2 = 144
x=12
Step-by-step explanation:
We can prove this by using similar triangles. We know that angle ABE and ACD are SIMILAR(we know that by the sign in between them).Therefore, we also know that CDA and BEA are similar, and EAB and DAC are similar. Since all the angles are similar, we also know that the side lengths are equal in proportion. AB/AE is equal to AC/AD. When assigned values, that would create a proportion that is equal since the smaller triangle is similar to the bigger one. If you want to create a proof, break each statement into its own section.
The mathematical model representing the scenarios described can be expressed as follows :
- If n ≤ 8 ; A(n) = 31.25n
- If n > 8 ; A(n) = 31.25 + 46.875(n - 8)
1.)
Amount paid per 8 hours at summer job = 250
Additional hours beyond, 8 hours = 1.5 × hourly rate
Let:
- hourly rate = p
- Number of hours worked = n
- Amount earned as a function of n, A(n)
Hourly rate, p = (250 ÷ 8) = 31.25
Therefore, the hourly rate, p at the summer job = $31.25
Overtime pay = 1.5 × 31.25 = $46.875
Therefore,
If n ≤ 8 ; A(n) = 31.25n
If n > 8 ; A(n) = 31.25 + 46.875(n - 8)
2.)
Let :
- Number of playing hours = n
- Total amount charged as a function of n ; T(n)
Therefore,
T(n) = First hour fee + (charge per additional hour × number of additional hours)
T(n) = 15 + 5(n - 1)
Therefore, the models can be used to calculate the total earning and amount charged for any given hour value.
Learn more :brainly.com/question/18112348
