Answer:
C. b^27
Step-by-step explanation:
By the definition of exponents
![(b^9)^3=b^9*b^9*b^9](https://tex.z-dn.net/?f=%28b%5E9%29%5E3%3Db%5E9%2Ab%5E9%2Ab%5E9)
And since for any real numbers
and ![y](https://tex.z-dn.net/?f=y)
![r^x*r^y=r^{(x+y)}](https://tex.z-dn.net/?f=r%5Ex%2Ar%5Ey%3Dr%5E%7B%28x%2By%29%7D)
This makes
![(b^9)^3=b^9*b^9*b^9=b^{{9+9+9}}=\boxed{b^{27}}](https://tex.z-dn.net/?f=%28b%5E9%29%5E3%3Db%5E9%2Ab%5E9%2Ab%5E9%3Db%5E%7B%7B9%2B9%2B9%7D%7D%3D%5Cboxed%7Bb%5E%7B27%7D%7D)
Which is choice C.
Alternatively, we could use the identity
![(r^x)^y=r^{xy}](https://tex.z-dn.net/?f=%28r%5Ex%29%5Ey%3Dr%5E%7Bxy%7D)
in which case
![(b^9)^3=b^{(9*3)}= \boxed{b^{27}}](https://tex.z-dn.net/?f=%28b%5E9%29%5E3%3Db%5E%7B%289%2A3%29%7D%3D%20%5Cboxed%7Bb%5E%7B27%7D%7D)
which is the same answer.
Step-by-step explanation:
a=360°-300°=60°{reflex angle}
b=180°-40°=140°{straight angle}
hope it helps.
Answer:
C. - X = 5 units
Step-by-step explanation:
We need to solve for x from the given figure.
In ΔADB and ΔCDB
∠ABD=∠BCD (Corresponding angle of two right triangle)
∠ADB=∠CDB (Each 90°)
∴ ΔADB ≈ ΔCDB By AA similarity
If two triangles are similar then ratio of their corresponding height are same.
Substitute the value of side into the expression
Cross multiply and solve for x
x can't be negative because side of triangle is positive.
Hence, The value of x is 5 units.
Answer
side a= 8.2
side c = 15
angle A = 28