Answer:
K = 50
L = 90
KML = 40
LMN = 140
Step-by-step explanation:
The sum of the angles in a triangle will always be 180 degrees, and in the triangle pictured, we know the value of each angle. We can say that
5x + 4x + 9x = 180
18x = 180
x = 10
Now that we know the value of x, we can figure out the value of the angles.
K = 5x = 50
L = 9x = 90
KML = 4x = 40
A straight line is 180 degrees, so to find angle KMN, you have to subtract KML (4x) from 180
180 - 4x = 180 - 40 = 140
3x+4=28 because 3 times an unknown number was mentioned first and mentioned together so they will be together, increased by 4 is +4 and comes after, the result of is the same as equals so you put the equals sign and whatever number they gave after.
<span>n = 5
mean = 48
Let's create a series of equations to express "sum of deviations of a set of values x1 , x2 , x3 , .......... , xn , measured from 50 is -10"
(x1 - 50) + (x2 - 50) + ... + (xn - 50) = -10
(x1 + x2 + ... + xn) - 50n = -10
x1 + x2 + ... + xn = 50n - 10
And do the same for 46.
(x1 - 46) + (x2 - 46) + ... + (xn - 46) = 10
(x1 + x2 + ... + xn) - 46n = 10
x1 + x2 + ... + xn = 46n + 10
Both 50n - 10 and 46n + 10 is equal to the sum of x1, x2, ..., xn. So set them equal to each other and solve for n:
50n - 10 = 46n + 10
50n = 46n + 20
4n = 20
n = 5
Now we can calculate the sum of x1, x2, ..., xn:
50n - 10 = 50*5 - 10 = 250 - 10 = 240
And the mean
mean = 240/5 = 48</span>
Answer: x=30
Step-by-step explanation:
1.Subtract 6 from both sides of the equation
2.Simplify
3.Multiply all terms by the same value to eliminate fraction denominators
4.Simplify
Answer:
16y+14
Step-by-step explanation:
(3+2y)⋅8−10
Distribute the 8
3*8 +2y*8 -10
24 +16y -10
Combine like terms
24-10 +16y
14+16y