To solve this problem, we need to know that the adjacent interior angles (2 and 5, or 3 and 4) between two parallel lines are supplementary.
This means that ∠2+∠5 = 180 °
which means
x+50 + 4x+30 = 180
collect similar terms and solve
5x + 80 = 180
5x = 180-80 = 100
x=20 °
∠2 = x+50 = 20+50 = 70 °
But ∠ 1 = ∠ 2 (vertical angles)
therefore
∠ 1 = 70 °
Answer:
6x^2 +8x
Step-by-step explanation:
(12x^3 -14x^2 -40x) / (2x-5)
Factor the numerator by factoring out the greatest common factor
2x( 6x^2 -7x-20) / (2x-5)
Factor inside the parentheses
2x (3x+4)(2x-5)/ (2x-5)
Cancel like terms
2x( 3x+4)
Distribute
6x^2 +8x
5/6 and 2/9......least common denominator is 18
so 5/6 = 15/18 and 2/9 = 4/18
1/12 and 3/8...least common denominator is 24
so 1/12 = 2/24 and 3/8 = 9/24
5/9 and 2/15...least common denominator is 45
so 5/9 = 24/45 and 2/15 = 6/45
Answer:
Step-by-step explanation:
This question will be better solved with the aid of a detailed diagram, kindly check the below attached images to get the step by step answer to this question.
Given:
x is a number between 8 and 12 exclusive.
To find:
The value of x.
Solution:
It is given that x is a number between 8 and 12 exclusive. It means the value of x lies between 8 and 12 but 8 and 12 are not included.
The whole numbers for range are 9, 10, 11.
Therefore, the values of x are 9, 10, 11 and the value of x in the form of inequality is .
