2.) -8(x-6) + 7(-x-6)
-8x+48 + -7x-42
-15x+6
4.) -7(1-3b) + b(8b-6)
-7+21b + 8b²-6b
-7+15b+ 8b²
Hope this helps love :)
Answer:
1)
2)
Multiply :
Apply Difference of Squares formula:
a = 5, b = -2
(2 / x-1)> (7 / x + 1)
For this case we can solve the problem graphically.
The solution will be the shaded region.
Note: see attached image.
Answer:
The solution is given by:1 <x <9/5
By using the fact of supplement angles of congruent angles are congruent, we proved that ∠2 ≅ ∠3
Step-by-step explanation:
The supplementary angles are:
- Two angles their sum is 180°
- The supplement of an acute angle is an obtuse angle and vice versa
- The supplement of a right angle is a right angle
- If one angle is supplement to two other angles, then the two angles are equal in measure (if 50° is supplement to angles X and Y, then X and y must be 130°)
- Supplement angles of congruent angles are congruent (If angles X and Y are supplement to angles A , B and angles A , B are congruent, then angles X and Y are congruent
∵ ∠1 and ∠2 are supplementary
∴ m∠1 + m∠2 = 180° ⇒ (1)
∵ ∠3 and ∠4 are supplementary
∴ m∠3 + m∠4 = 180° ⇒ (2)
We can equate the left hand sides of (1) and (2) because the right hand sides are equal
∴ m∠1 + m∠2 = m∠3 + m∠4 ⇒ (3)
∵ ∠1 ≅ ∠4
∴ m∠1 = m∠4
- Substitute m∠4 by m∠1 in (3)
∴ m∠1 + m∠2 = m∠3 + m∠1
- Subtract m∠1 from both sides
∴ m∠2 = m∠3
∴ ∠2 ≅ ∠3
By using the fact of supplement angles of congruent angles are congruent, we proved that ∠2 ≅ ∠3
Learn more:
You can learn more about supplementary angles in brainly.com/question/10483199
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