<u>Solution</u><u> </u><u>:</u><u>-</u>
Here we can see that ∠b is vertically opposite to 68° angle and we know that vertically opposite angles are equal.
So , the measure of ∠ b will also be equal to 68° .
More to know :
- Alternate Interior angles are equal.
- Corresponding angles are equal.
- Sum of co - interior angles is 180° .
- Alternate exterior angles are equal.
- Measure of angle of straight line is 180°.
- Vertically opposite angles are equal.
Given the expression:
![\displaystyle \large{ \sqrt[3]{ - 125} }](https://tex.z-dn.net/?f=%20%5Cdisplaystyle%20%5Clarge%7B%20%5Csqrt%5B3%5D%7B%20-%20125%7D%20%7D)
Definition:
![\displaystyle \large{ y = \begin{cases} \pm \sqrt[n]{x} \longrightarrow n = (2,4,6,8,...) \: \: (x \geqslant 0) \\ \sqrt[n]{x}\longrightarrow n = (1,3,5,7,...) \: \: (x \in \R) \end{cases}}](https://tex.z-dn.net/?f=%20%5Cdisplaystyle%20%5Clarge%7B%20y%20%20%3D%20%5Cbegin%7Bcases%7D%20%20%20%5Cpm%20%5Csqrt%5Bn%5D%7Bx%7D%20%20%5Clongrightarrow%20n%20%20%3D%20%282%2C4%2C6%2C8%2C...%29%20%20%5C%3A%20%20%5C%3A%20%28x%20%5Cgeqslant%200%29%20%5C%5C%20%20%20%5Csqrt%5Bn%5D%7Bx%7D%5Clongrightarrow%20n%20%3D%20%281%2C3%2C5%2C7%2C...%29%20%5C%3A%20%20%5C%3A%20%28x%20%5Cin%20%5CR%29%20%5Cend%7Bcases%7D%7D)
First, factor the -125. -125 comes from (-5)×(-5)×(-5) or (-5)^3.
![\displaystyle \large{ \sqrt[3]{ ( - 5) \times ( - 5) \times ( - 5)} }](https://tex.z-dn.net/?f=%20%5Cdisplaystyle%20%5Clarge%7B%20%5Csqrt%5B3%5D%7B%20%28%20-%205%29%20%5Ctimes%20%28%20-%205%29%20%5Ctimes%20%28%20-%205%29%7D%20%7D)
Because if (-5)^2 = 25 then 25×(-5) again will be -125.
Since this is the cube root, we have to pull out 3 terms in one. There are 3 fives that we can take off and therefore,
Answer:
Long sides are 1.4 and short sides are 0.7
Step-by-step explanation:
Ansswer:
I think that options include:
A. With a high level of confidence, the republican defeated the democrats
B. the republican definitely defeated the democrats
C. the republican defeated the democrats with probability of 0.60
D. It is not possible to predict the winner because less than 1% of the voters were in the sample
Answer: Option D
Step-by-step explanation:
The result of this election cannot be predicted accurately as only 1000 voters out of 3,000,000 were sampled.
To get a good sample, the sample must be at least 10% of the total population and be a representative of the population but in this context, the sample is even less than 1% (30,000). Thus, the prediction might be inaccurate...
The order of a matrix is m×n where m is the number of rows and n is the number of columns.
can you count and find what are m and n here?
