Answer:
120°
Step-by-step explanation:
We can see that b=a by opposite exteriors.
So a+1/2a=180
1.5a=180
a=180/1.5=120
And since b and a are equal, b also equals 120°
Answer:
the initial investment is $1,200
Step-by-step explanation:
The computation of the initial investment is shown below:
As we know that
Let us assume the investment be 100
So, the investment increased be 72
So,
Simple interest = Principal × rate of interest × time period
72 = Principal × 3% × 2 years
So, the principal is
= 72 ÷ 3% × 2
= $1,200
hence, the initial investment is $1,200
Hi Kristian
a - 3b = 22
a = b - 2
We need to solve a = b -2 for a
First, we need to substitute b - 2 for a in a - 3b = 22
a - 3b = 22
b - 2 - 3b = 22
-2b - 2 = 22
-2b = 22 + 2
-2b = 24
b = 24/-2
b = -12
Now substitute -12 for b in a = b - 2
a = b -2
a= -12 - 2
a= -14
Thus, the solution is a = -14 and b = -12
The correct option is the last one (-14,-12)
If you have questions about my answer, please let me know.
Good luck!
Answer:
-125
Step-by-step explanation:
Each term is 7 less than the previous term.
1st term: 15
2nd term: 15 - 7
3rd term: 15 - 7 - 7 = 15 - 2(7)
4th term = 15 - 7 - 7 - 7 = 15 - 3(7)
Notice that each term is 15 minus a multiple of 7. The multiple is obtained by multiplying 7 by 1 less than the term number.
The formula is:
For the 21st term, multiply 7 by 20, and subtract from 15.
7 × 20 = 140
15 - 140 = -125
Using the formula:
Answer: -125
Answer:
The distance from Endnville to Concord = 14.8 miles
Step-by-step explanation:
∵ Westfalls is 7 miles South of Endnville
∵ Concord is 13 miles West of Westfalls
∵ South and West are ⊥
∴ The distance from Endnville to Concord = √(7)² + (13)²
= 14.8 miles
