Answer:
3) 156°
4) 24°
5) 24°
6) 24°
Step-by-step explanation:
m∡2: 180 - 156 = 24°
m∡3: 156° (is vertical to angle labeled as 156°)
m∡4: 24° (is vertical to angle 2)
m∡5: 156°
m∡6: 24° (alternate-interior to angle 4)
m∡7: 156° (corresponding angle with ∡3)
m∡8: 24° (vertical with angle 6)
Yes it is a 90 degree rotation clockwise.
(2n^2 + 4n + 4)(4n − 5)
=(2n^2 + 4n + 4)(4n + −5)
=(2n^2)(4n) + (2n^2)(−5) + (4n)(4n) + (4n)(−5) + (4)(4n) + (4)(−5)
=8n^3 − 10n^2 + 16n^2 − 20n + 16n − 20
=8n^3 + 6n^2 − 4n − 20
Answer:
the given expression is equivalent to the ![3 \frac{2}{15}](https://tex.z-dn.net/?f=3%20%5Cfrac%7B2%7D%7B15%7D)
Step-by-step explanation:
The computation is shown below:
![3^2 \frac{1}{5} : 3 \frac{2}{5} \\\\(3\frac{2}{5})^\frac{1}{3} \\](https://tex.z-dn.net/?f=3%5E2%20%5Cfrac%7B1%7D%7B5%7D%20%3A%203%20%5Cfrac%7B2%7D%7B5%7D%20%5C%5C%5C%5C%283%5Cfrac%7B2%7D%7B5%7D%29%5E%5Cfrac%7B1%7D%7B3%7D%20%20%5C%5C)
Now applied the exponent rule i.e. presented below:
![(a^b)^c = a^{bc}](https://tex.z-dn.net/?f=%28a%5Eb%29%5Ec%20%3D%20a%5E%7Bbc%7D)
![= 3 \frac{2}{5} \times \frac{1}{3} \\\\\frac{2}{5} \times \frac{1}{3} \\\\= \frac{2}{15}](https://tex.z-dn.net/?f=%3D%203%20%5Cfrac%7B2%7D%7B5%7D%20%5Ctimes%20%5Cfrac%7B1%7D%7B3%7D%20%5C%5C%5C%5C%5Cfrac%7B2%7D%7B5%7D%20%5Ctimes%20%5Cfrac%7B1%7D%7B3%7D%20%5C%5C%5C%5C%3D%20%5Cfrac%7B2%7D%7B15%7D)
![3 \frac{2}{15}](https://tex.z-dn.net/?f=3%20%5Cfrac%7B2%7D%7B15%7D)
Hence, the given expression is equivalent to the ![3 \frac{2}{15}](https://tex.z-dn.net/?f=3%20%5Cfrac%7B2%7D%7B15%7D)
Answer:
Step-by-step explanation:
The mixed number 1 1/3 is equal to the improper fraction 4/3.