4-5 and 3-6 are alternate interior angles
Answer:
![\dfrac{3}{2}](https://tex.z-dn.net/?f=%5Cdfrac%7B3%7D%7B2%7D)
Step-by-step explanation:
We are given 2 fractions.
1st fraction is Negative StartFraction 3 over 8
i.e.
![-\dfrac{3}{8}](https://tex.z-dn.net/?f=-%5Cdfrac%7B3%7D%7B8%7D)
2nd fraction is negative one-fourth
i.e.
![-\dfrac{1}{4}](https://tex.z-dn.net/?f=-%5Cdfrac%7B1%7D%7B4%7D)
We have to find the quotient when 1st fraction is divided by 2nd fraction.
<u>Definition</u> of quotient is given as:
Quotient is the result obtained when one number is divided by other number.
![-\dfrac{3}{8} \div -\dfrac{1}{4} \text{ is to be calculated.}](https://tex.z-dn.net/?f=-%5Cdfrac%7B3%7D%7B8%7D%20%5Cdiv%20-%5Cdfrac%7B1%7D%7B4%7D%20%5Ctext%7B%20is%20to%20be%20calculated.%7D)
is converted to
and the 2nd fraction is reversed i.e.
if the fraction is
it becomes
and the sign
is changed to
.
Solving above:
![-\dfrac{3}{8} \times -\dfrac{4}{1}\\ \text {Multiplication/Division of 2 negative number gives a positive number}\\\Rightarrow \dfrac{3}{2}](https://tex.z-dn.net/?f=-%5Cdfrac%7B3%7D%7B8%7D%20%5Ctimes%20-%5Cdfrac%7B4%7D%7B1%7D%5C%5C%20%5Ctext%20%7BMultiplication%2FDivision%20of%202%20negative%20number%20gives%20a%20positive%20number%7D%5C%5C%5CRightarrow%20%5Cdfrac%7B3%7D%7B2%7D)
So, the quotient is
.
Answer and Step-by-step explanation:
![(\frac{1.25 - x}{1.25x} ) * 100\\\\\\(\frac{1.25}{1.25x} - \frac{x}{1.25x} ) * 100\\\\(\frac{1}{x} - \frac{1}{1.25} ) * 100\\\\\frac{100}{x} - 80\\\\\\](https://tex.z-dn.net/?f=%28%5Cfrac%7B1.25%20-%20x%7D%7B1.25x%7D%20%29%20%2A%20100%5C%5C%5C%5C%5C%5C%28%5Cfrac%7B1.25%7D%7B1.25x%7D%20-%20%5Cfrac%7Bx%7D%7B1.25x%7D%20%29%20%2A%20100%5C%5C%5C%5C%28%5Cfrac%7B1%7D%7Bx%7D%20-%20%5Cfrac%7B1%7D%7B1.25%7D%20%29%20%2A%20100%5C%5C%5C%5C%5Cfrac%7B100%7D%7Bx%7D%20-%2080%5C%5C%5C%5C%5C%5C)
Decreased by 20%
Answer:
B) 1
Step-by-step explanation:
The computation of the number is shown below:
Since the number 1 would be raised to any exponent so it always remains be 1
Like
= 1 × 1 × 1 × 1 × 1 × 1 × 1 × 1 × 1
= 1
Therefore the option B is correct
Answer:
8125, im pretty sure this is right
Step-by-step explanation: