Answer:
x=17 is the final answer.
Step-by-step explanation:
Given that m ∠TSR = 84
SQ is angle bisector of ∠TSR
m ∠RSQ = 3x-9
Now using those information, we need to find the value of x.
Since SQ is angle bisector of ∠TSR, then we can write:
∠TSR =2 (∠RSQ)
Hence x=17 is the final answer.
Answer:
10 miles
Step-by-step explanation:
10 miles= 16093.44km
44880ft=13.679424km
15560yards= 14.228064
Answer:
The expressions that give the value of y are A - 3B and (1/3)A - B
The solution is (27/13, -60/13)
Step-by-step explanation:
We can see both equation A and equation B.
Equation A: 2x + (1/4)y = 3
Equation B: (2/3)x - y = 6
To find the value of y, we have to solve both equations A and equation B simultaneously. This is done by multiplying equation B by 3 and subtracting from equation A (A - 3B) to get:
(13/4)y = -15
y = -60/13
you can also get y by dividing equation A by 3 and subtracting equation B (1/3A - B)
Put y = -60/13 in equation A to get x:
2x + (1/4)(-60/13) = 3
2x = 3 + 15/13
2x = 54/13
x = 27/13
The solution is (27/13, -60/13)
10% of 500 = .1 * $500 = $50
answer: he puts $50 in his saving each week
Answer:
Arithmetic sequence:
Geometric sequence:
Step-by-step explanation:
The arithmetic sequence: is the sequence whos terms increased or decreased by a constant amount.
Examples:
- 4, 7, 10, 13, 16, ........................ (increased by 3)
- 25, 20, 15, 10, ......................... (Decreased by 5)
The explicit formula for the nth term of the arithmetic sequence is:
- is the first term
- d is the constant difference between each two consecutive terms
- n is the position of the number in the sequence
The geometric sequence: is the sequence whos consecutive terms have a constant ratio
Examples:
- 1, 2, 4, 8, 16, ........................ (Multiplying by 2)
- 625, 125, 25, 5, ......................... (Dividing by 5)
The explicit formula for the nth term of the geometric sequence is:
- is the first term
- r is the constant ratio between each two consecutive terms
- n is the position of the number in the sequence
* Arithmetic sequence →→→→→→ Geometric sequence
Has a constant difference →→→→→→ Has a constant ratio
→→→→→→
→→→→→→