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
7 by 2 for each blanket. If you split 28 into 2 sheets, its 14, sooo.
Answer:
x = -5
Step-by-step explanation:
Since these two triangles are similar, the ratio between the corresponding lengths of each triangle will be the same.
This means the ratio between one side of each triangle (e.g. AD and DC) will be the same as the ratio between a different side of each triangle (e.g. BE and BC).
So, to create an equation for the sides which contain the unknown 'x', we must first find the ratio between the two sides by using a different set of sides.
On the right side we are given 9 for AD, and 18 for DC.
9/18 = 0.5
This means that the extra length of the larger triangle from the smaller one (AD) is half the length of the smaller triangle (DC). We can use this to make an equation for x:
If AD/DC = 0.5, then BE/EC will also = 0.5
BE = x+23
EC = x+41
Therefore:

Now we can solve by multiplying both sides by x+41 to eliminate the fraction:

Now we multiply out the brackets and move the terms to different sides:



And if we substitute the -5 into the equations:
-5+23 = 18
-5 + 41 = 36
We will see that -5 does indeed give us the same ratio between the lengths:
18/36 = 0.5
Hope this helped!
Function transformation involves changing the form of a function
The function g(x) is 
The function is given as:

g(x) is an exponential function that passes through points (-2,2) and (-1,4).
An exponential function is represented as:

At point (-2,2), we have:

At point (-1,4), we have:

Divide both equations

Simplify

Apply law of indices


Rewrite as:

Substitute 2 for b in 

This gives

Multiply both sides by 4

Substitute 8 for (a) and 2 for (b) in 

Express as a function

Hence, the function g(x) is 
Read more about exponential functions at:
brainly.com/question/11487261
Answer:
48t + 60
Step-by-step explanation:
hope this helps!!