The answer is :
b = t - 5 / 4
<h3>Answer: 14</h3>
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Work Shown:
![\frac{\text{KM}}{\text{NM}} = \frac{\text{KL}}{\text{NO}}\\\\\frac{\text{KN}+\text{NM}}{\text{NM}} = \frac{\text{KL}}{\text{NO}}\\\\\frac{7+x}{x} = \frac{15}{10}\\\\10(7+x) = 15x\\\\](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BKM%7D%7D%7B%5Ctext%7BNM%7D%7D%20%3D%20%5Cfrac%7B%5Ctext%7BKL%7D%7D%7B%5Ctext%7BNO%7D%7D%5C%5C%5C%5C%5Cfrac%7B%5Ctext%7BKN%7D%2B%5Ctext%7BNM%7D%7D%7B%5Ctext%7BNM%7D%7D%20%3D%20%5Cfrac%7B%5Ctext%7BKL%7D%7D%7B%5Ctext%7BNO%7D%7D%5C%5C%5C%5C%5Cfrac%7B7%2Bx%7D%7Bx%7D%20%3D%20%5Cfrac%7B15%7D%7B10%7D%5C%5C%5C%5C10%287%2Bx%29%20%3D%2015x%5C%5C%5C%5C)
![70+10x = 15x\\\\70 = 15x-10x\\\\5x = 70\\\\x = \frac{70}{5}\\\\x = 14\\\\\text{NM} = 14](https://tex.z-dn.net/?f=70%2B10x%20%3D%2015x%5C%5C%5C%5C70%20%3D%2015x-10x%5C%5C%5C%5C5x%20%3D%2070%5C%5C%5C%5Cx%20%3D%20%5Cfrac%7B70%7D%7B5%7D%5C%5C%5C%5Cx%20%3D%2014%5C%5C%5C%5C%5Ctext%7BNM%7D%20%3D%2014)
Side note: The triangles are similar, which allows us to set up the proportion in step 1.
You flip is when you mulitply the whole equation by a negative
not when you distribute a negative
if yo had
-3(x+4)>x
you wouldn't flip the negative symbol when distributing then -3
but if you had
-3(x+4)>-x
you would eventually have to multiply by -1 to make +1x
because they will be differente
exaple
12>3 is true
if yo multiply negative
-12>-3 is fale
-12<-3 is true
anothe rexample with placeholders
x<x+2
mulitply -1
-x>-x-2
false
-x<-x-2
true
that is why we flop the inequality symbole
Answer:
3 and 5
Step-by-step explanation:
Hope this helped :)
I did the same assignment and it was right!
You find the variable x or y in one of the lines of the problem and then substitute the value of the variable you first found into the other line of the problem to find the other variable. Then, you plug all of the values you found into either line/equation of the problem to ensure that one side of the equation you pick is equal to what is on the other side of the "=" symbol.