9514 1404 393
Answer:
Step-by-step explanation:
Consecutive interior angles are supplementary.
(x -20)° +(4x +15)° = 180°
5x = 185 . . . . . . . . . . . . . . divide by °, add 5
x = 37 . . . . . . . . . . . . divide by 5
__
74° +(5y -4)° = 180°
5y = 110 . . . . . . . . . . . divide by °, subtract 70
y = 22 . . . . . . . . . . divide by 5
n (AUB) = 59
Step-by-step explanation:
n(A U B) = n(A) + n(B) -n(A intersection B)
= 26+ 41- 8
= 59
Answer:
The answer to your question is: x₁ = 9 ; x₂ = -2, third option
Step-by-step explanation:
The excluded values are those that make the denominator equal to zero.
To find the excluded values, just factor the denominator and equal to zero to find the roots.
Process
x² - 7x - 18
- Find to numbers that added gives -7 and multiply -18.
- These numbers are -9 and + 2, because
-9 + 2 = -7
and -9 x 2 = -18
(x - 9) (x + 2) = 0
x₁ - 9 = 0 x₂ + 2 = 0
x₁ = 9 x₂ = -2
Test
(9)² - 7(9) - 18 (-2)² - 7(-2) - 18
81 - 63 - 18 4 + 14 - 18
81 - 81 18 - 18
0 0
Answer:
Smaller number = 13
Larger = 67
Step-by-step explanation:
(13 x 5) + 2 = 67 + 13 = 80
