4 and 8 are corresponding angles. Corresponding angles are on the same side of parallel lines cut by a transversal
Answer:
c. 2b - 3
Step-by-step explanation:
Simplify the following:
-2 b + 4 + 4 b - 7
Grouping like terms, -2 b + 4 + 4 b - 7 = (4 b - 2 b) + (4 - 7):
(4 b - 2 b) + (4 - 7)
4 b - 2 b = 2 b:
2 b + (4 - 7)
4 - 7 = -3:
Answer: 2 b + -3
Answer:
All real numbers; the simplification is described below.
Step-by-step explanation:
5(- 3x - 2) - (x - 3) = -4(4x + 5) + 13
Let's keep in mind PEMDAS (the order of operations) to simplify and solve this. First, we'll distribute inside each set of parenthesis!
5(-3x) + 5(-2) -1(x) -1(-3) = -4(4x) -4(5) + 13
See how we've taken the outer term on the outside of the parenthesis and multiplied it to each term inside the parenthesis. Simplify further.
-15x - 10 - x + 3 = -16x - 20 + 13
Now we can combine like terms! I will bold the terms I am combining.
-15x - 10 - x + 3 = -16x - 20 + 13 (combining the x terms on the left)
-16x - 10 + 3 = -16x - 20 + 13 (combining the constants on both sides)
-16x - 7 = -16x - 7
Aha! It looks like we have an equation that's literally equal to itself. If we were to simplify this, or put in any number, we'd get that number equals itself. For example:
-16(1) - 7 = -16(1) - 7
-16 - 7 = -16 - 7
-21 = -21
Any number you put in here will make the equation true, so these lines must be the same line. That means the solution is all real numbers.
Answer:
C
Step-by-step explanation:
Your answer is C 6.25 x 10^-4
The answer is d. 384 m3.
The volume (V) of the box is:
V = l × w × h
l - the length of the box
w - the width of the box
h - the height of the box
If V1 = 48 m³ = l × w × h and all its dimensions are doubled to create box B, then:
V2 = 2l × 2w × 2h = 2 × 2 × 2 × l × w × h = 8 x l × w × h
We know that l × w × h is 48 m³, so:
V2 = 8 x l × w × h = 8 × 48 = 384 m³