∠n = ∠p
p - 3x = 10
5x - n = 8......> 5x - p = 8
by adding the two equations
2x = 18 , x = 9
p = 37
m∠M = 180 - (2*37) = 106°
Answer:
9 inches
Step-by-step explanation:
Do the question algebraically, represented by this equation:
let x be the shorter piece
x + (x + 8) = 26 (longer piece is 8 units longer)
Remove brackets
x + x + 8 = 26 Combine like terms
2x + 8 = 26 Start isolating "x"
2x + 8 - 8 = 26 - 8 Subtract 8 from both sides
2x = 18
2x/2 = 18/2 Divide both sides by 2
x = 9 shorter piece
The shorter piece would be 9 inches.
If you needed the longer piece too:
longer piece = x + 8
x + 8
= 9 + 8
= 17
The longer piece would be 17 inches.
Check your answer:
Longer + Shorter = 26 Substitute the lengths
17 + 9 = 26 Add
26 = 26 same number
LS = RS left side equals right side
The answer is correct.
Answer:
705
Step-by-step explanation:
141 words in 2 minutes means 70.5 words in a minute
70.5 × 10 = 705 words in 10 minutes
It would be equivalent to x=8
