Answer:
x = 5.2
Step-by-step explanation:
Measure of interior angle of a regular polygon = 
Here n = number of sides of the polygon
Interior angle of a regular pentagon = 
= 108°
By applying cosine rule in ΔABK,
(BK)² = (AK)² + (AB)² - 2(AK)(AB)cos(108)°
(x + 3)² = 4² + 6² - 2(4)(6)cos(108)°
x² + 6x + 9 = 16 + 36 - (-14.83)
x² + 6x = 57.83
x² + 6x - 57.83 = 0
x = 
x = 
x ≈ -11.2, 5.2
Since, x can't be negative,
x = 5.2 will be the answer.
Answer:
9.4
Step-by-step explanation:
Given :
LM= 22, NO = 6, and LN= 14 ; MO = x
Since O bisects the triangle ;
LN / NO = LM / MO
14 / 6 = 22 / x
Cross multiply :
14 * x = 22 * 6
14x = 132
Divide both sides by 14
14x/14 = 132 / 14
x = 9.428
x = 9.4 ( 1 decimal place)
Answer:
2.4x +2.2
Step-by-step explanation:
5.4x−1.1−3(x−1.1)
The first step is to distribute the -3
5.4x−1.1−3(x) -3(−1.1)
5.4x -1.1 -3x +3.3
Now we need to combine like terms
5.4x-3x -1.1+3.3
2.4x +2.2
Answer:
(3,10)
(5,8)
(7,8)
(9,10)
Step-by-step explanation:
This is kinda simple, you look were the quadrants are which is the edges of the shape and follow the line down and side ways and that's were the shape if
It is asking you were the four sides are
Remember that its x then y
But that's how you find the shape
Answer: son is 12 years old
Step-by-step explanation:
Let m be the age of mother, f be the age of father, and s be the age of son.
m + f + s = 28 x 3 = 84
m + son = 23 x 2 = 46
f + s = 25 x 2 = 50
m = 46 - s
f = 50 - s
we plug in m and f to the functions.
we get 46 - s + 50 - s + s = 84
96 - s = 84
-s = -12
s = 12 years old
