X + x + 1 + x + 2 + x + 3 = 330
4x + 6 = 330
4x = 324, x = 81
Smallest number: 81
Biggest number: 81 + 3 = 84
Sum: 81 + 84 = 165
The answer is 165
Answer: a. ASA
Step-by-step explanation:
They are congruent by ASA beacuse 1 angle and 1 side are given to be congruent and there is also a pair of vertical angles that are congruent.
1) name the variables:
- amount in account 1 "a"
- amount in account 2 "b"
2) trtanslate the statements into equations:
<span>- the
difference between account 1 and account 2 is $100.
=> a - b = 100
- if she uses 3/8 of
account 1 and 7/8 of account 2, Dawn will have a down payment of $2,000.
=> (3/8)a + (7/8)b = 2000
3) solve the system of equations
(1) a - b = 100
(2) (3/8)a + (7/8b) = 2000
Steps:
- multiply equation (1) by 7 and equaton (2) by 8
=>
(1) 7a - 7b = 700
(2) 3a + 7b = 16,000
- add the two equations
=>
7a + 3a - 7b + 7b = 700 + 16,000
- combine like terms:
10a = 16,700
- divide by 10:
a = 16,700 / 10 = 1670
- use equation (1) to find b:
a - b = 100 => b = a - 100 = 1670 - 100 = 1570
Answer: Dawn has $ 1670 in account 1 and
$ 1570 in account 2.
</span>
Answer:
Kindly refer to the attachment
<h2>Thank U Next</h2>
7 1/4, 8.209, 8.22, 83/10
