Answer:
x=2
Step-by-step explanation:
2 times x + 4 = 8
-4 -4
2 times x = 4
/2 /2
x = 2
You have to combine like terms, so 3b plus 2b equals 5b and you can't add b to 5a because they aren't defined, therefore th answer is 5a+b.
Answer:
1. B. BD
2. C. 15
3. A. 2
Step-by-step explanation:
1. From the figure,
∠DAB = ∠DAC
Therefore, BD is the bisector of ∠ABC.
2. From the figure, IG = GH
3x = 5x - 10
10 = 5x - 3x
2x = 10
x = 5
So, GH = 5x - 10
= 5(5) - 10
= 25 - 10
= 15
Therefore, GH = 15.
3. From the figure,
∠DAB = ∠DAC
10y = 8y + 4
10y - 8y = 4
2y = 4
y = 2
Answer:
Option (D)
Step-by-step explanation:
Formula to get the area of a regular polygon in a circle will be,
Area = ![n[\frac{1}{2}\times (\text{Base})\times (\text{Height})]](https://tex.z-dn.net/?f=n%5B%5Cfrac%7B1%7D%7B2%7D%5Ctimes%20%28%5Ctext%7BBase%7D%29%5Ctimes%20%28%5Ctext%7BHeight%7D%29%5D)
= ![n[\frac{1}{2}\times (\text{s})\times (\text{h})]](https://tex.z-dn.net/?f=n%5B%5Cfrac%7B1%7D%7B2%7D%5Ctimes%20%28%5Ctext%7Bs%7D%29%5Ctimes%20%28%5Ctext%7Bh%7D%29%5D)
Here 'n' is the number of sides.
If n increases, h approaches r so that 'rh' approaches r².
In other words, if the number of sides of the polygon gets increased, area of the polygon approaches the area of the circle.
Therefore, Option (4) will be the answer.