Answer:
a plate
Step-by-step explanation:
(2x+9) + (10x+15) = 180°
2x+9 + 10x+15 = 180°
Add up liked terms
12x+24 = 180°
-24 on both sides
12x = 156°
/12 on both sides
x = 13
< ABC = (2x+9)
< ABC = 2(13)+9
Answer : < ABC = 35°
< CBD = (10x+15)
< CBD = 10(13)+15
Answer: < CBD = 145°
Given:
Consider the given expression is:
To find:
The simplified form of the given expression.
Solution:
We have,
By using the quotient property of exponents, we get
![\left[\because \dfrac{a^m}{a^n}=a^{m-n}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbecause%20%5Cdfrac%7Ba%5Em%7D%7Ba%5En%7D%3Da%5E%7Bm-n%7D%5Cright%5D)
By using negative exponent property, we get
![\left[\because a^{-n}=\dfrac{1}{a^n}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbecause%20a%5E%7B-n%7D%3D%5Cdfrac%7B1%7D%7Ba%5En%7D%5Cright%5D)
The simplified form of the given expression is 
.
Therefore, the correct option is B.
Variable A : 1, 2, 4, 4, 5, 6, 7, 9
Mode is the number that appears more frequently in the data set than other numbers.
1, 2, 5, 6, 7, and 9 only appeared once.
4 appeared twice.
So, the mode of the data set is 4.
Additional info:
mean = (<span>1 + 2 + 4 + 4 + 5 + 6 + 7 + 9) / 8 = 38 / 8 = 4.75
median = (4 + 5) / 2 = 9 / 2 = 4.5
range = 9 - 1 = 8</span>
