Answer:
- 1) 64, 2) 6, 3) 26, 4) 33
Step-by-step explanation:
<h3>#1</h3>
<u>Sum of interior angles is 180</u>
- 70 + 46 + x = 180
- 116 + x = 180
- x = 64
<h3>#2</h3>
<u>Sum of interior angles is 180</u>
- 84 + 7x + 1 + 9x - 1 = 84
- 16x + 84 = 180
- 16x = 96
- x = 6
<h3>#3</h3>
<u>Vertical angles are same, the sum of remaining angles is same for both triangles:</u>
- 35 + 25 = 34 + x
- 60 = 34 + x
- x = 60 - 34
- x = 26
<h3>#4</h3>
<u>Exterior angle is same as the sum of non-adjacent interior angles:</u>
- 5x - 7 + 6x + 3 = 84
- 11x - 4 = 84
- 11x = 88
- x = 8
- m∠G = 5x - 7 = 5*8 - 7 = 40 - 7 = 33
60000(0.081)10+60000=$108600
60000(.1)+60000(.0665)(10)+60000=$105900
Answer:
The sum of money received by Ali, Carrie and Bryan is $ 740.
Step-by-step explanation:
At first we translate mathematically each sentence:
(i) <em>Ali, Carrie and Bryan received a sum of money. </em>
- Ali's money.
- Bryan's money.
- Carrie's money.
(ii) <em>Bryan's money was </em><em> of Ali's money</em>.
(1)
(iii) <em>The ratio of Ali's money to Carrie's money was 4 : 1</em>.
(2)
(iv) <em>Ali had $ 160 more than Bryan</em>.
(3)
After some algebraic handling, we have the following system of linear equations:
(1b)
(2b)
(3b)
The solution of the system is: , ,
The sum of money is:
The sum of money received by Ali, Carrie and Bryan is $ 740.
First, you expand it.
2x - 6x + 3 = 3 - 4x
Now, simplify.
-4x + 3 = - 4x
Cancel out the double "4x"
3 = 3
Since both side have an equal answer, there in an infinite number of answers.
Hope this helps! ☺♥
Annually cumulating interest can be determined by the following formula:
r represents the interest rate as a decimal, and P represents the starting amount of money.