If G is the incenter of ∆ABC, then GD = GF = GE.
Given, GD is 3x + 5 and GF is 6x - 4.
According to the above statement,
GD = GF
or, 3x + 5 = 6x - 4
or, 5 + 4 = 6x - 3x
or, 9 = 3x
or, 9/3 = x
or, 3 = x
The value of x is 3.
By putting the value of x in GD or GF, we get
GD = 3(3) + 5 = 9 + 5 = 14
GF = 6(3) - 4 = 18 - 4 = 14
Therefore, GE = <u>14</u>.
Answer:
a) order the number from least to greatest
8/9> -3.3 > -8 > -15
b) absolute value
|8/9| = 8/9
|-3.3| = 3.3
|-8| = 8
|-15| = 15
order 15 > 8 > 3.3 > 8/9
c) difference in the order in part (a) and (b) is because larger value with negative sign is the smallest.
Answer:
Step-by-step explanation:
height of post ÷ length of shadow = 2/10 = ⅕
height of tower is ⅕ the length of its shadow.
⅕×125 = 25
The tower is 25 feet tall
So, the easiest thing to do here is to add up the numbers of each option to find the number most similar to the solution of (-4/5)(3/5)(-6/7)(5/6) which is approximately equal to 0.34.
The product of expression A is -0.25
The product of expression B is 0.50
The product of expression C is 3
The product of expression D is -0.05625
So, first of all, we can rule out choices A and D because they are both negative, whereas 0.34 is not. Now, we just have B and C, and clearly, B is much closer to 0.34 than C is, so B is the correct answer. I hope this helps! :)
