Answer:
x = 26
y = 9
Step-by-step explanation:
(5x - 17)° + (3x - 11)° = 180° (angles in a straight line)
Solve for x
5x - 17 + 3x - 11 = 180
Collect like terms
5x + 3x - 17 - 11 = 180
8x - 28 = 180
Add 28 to both sides
8x = 180 + 28
8x = 208
Divide both sides by 8
x = 208/8
x = 26
Also:
(2y + 5)° + 90° + (3x - 11)° = 180° (angles on a straight line)
Plug in the value of x and solve for y
2y + 5 + 90 + 3(26) - 11 = 180
2y + 5 + 90 + 78 - 11 = 180
Collect like terms
2y + 162 = 180
Subtract 162 from both sides
2y = 180 - 162
2y = 18
y = 9 (dividing both sides by 2)
Answer:
3, 5, 7
Step-by-step explanation:
1st number: (2k+1)
2nd number: (2k+3)
3rd number: (2k+5), k∈Z
3*[(2k+1) + (2k+3)] = 3 + 3*(2k+5)
3*(4k+4)=3+6k+15
12k+12=18+6k
6k=6
k=1
1st number: (2k+1) = 3
2nd number: (2k+3)=5
3rd number: (2k+5)=7
Answer:
Step-by-step explanation:
Given is the sequence 3, 8, 13, 18, 23, ….:
We find that this is a geometric sequence with each term added with 5 to the previous term
Hence recursive formula is 
Non recursive formula:
iii) Start with 3.
Add 5 and write as 2nd term
Take the resulting term and add 5 and mark as 3rd term
Repeat this m times.
Y = 3x2 + -27
Reorder the terms:
y = -27 + 3x2
Solving
y = -27 + 3x2
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Simplifying
y = -27 + 3x2
Answer:
e
Step-by-step explanation:
